
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 8 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 9 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 10 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 11 |
| 18.8% | 18.7% | 81% | 0.3% | 0% | 0% | 0% | 12 |
Compiled 20 to 19 computations (5% saved)
| 1.2s | 8 256× | 0 | valid |
| 422.0ms | 2 713× | 0 | invalid |
ival-mult: 624.0ms (53.1% of total)ival-div: 209.0ms (17.8% of total)ival-pow2: 187.0ms (15.9% of total)ival-sqrt: 78.0ms (6.6% of total)ival-sub: 51.0ms (4.3% of total)exact: 12.0ms (1% of total)ival-true: 9.0ms (0.8% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 43 | 0 | - | 2 | (-5.236354518265458e-183 4.0927160475712363e+68 5.596002302093831e-280 -1.6338516004732625e-160 3.4779716952305624e+161 -4.088310514508643e-289) | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 19 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 16 | 0 | - | 0 | - | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 8 | 0 | - | 0 | - | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | w0 |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | oflow-rescue | 19 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 51 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) | overflow | 50 | |
| ↳ | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | overflow | 31 | |
| ↳ | (*.f64 M D) | overflow | 17 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 26 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 50 | |
| ↳ | (/.f64 h l) | overflow | 28 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 9 | 0 |
*.f64 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) | n*o | 8 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 6 | 0 |
| ↳ | (*.f64 M D) | overflow | 17 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 5 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 51 | |
| ↳ | (*.f64 M D) | overflow | 17 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 26 | |
| ↳ | (/.f64 h l) | underflow | 39 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | u*o | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 101 | |
| ↳ | (*.f64 M D) | underflow | 32 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 56 | |
| ↳ | (/.f64 h l) | overflow | 28 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 39 | 13 |
| - | 6 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 39 | 0 | 13 |
| - | 6 | 0 | 198 |
| number | freq |
|---|---|
| 0 | 211 |
| 1 | 40 |
| 2 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 512× | 0 | valid |
Compiled 307 to 72 computations (76.5% saved)
ival-mult: 12.0ms (37.2% of total)ival-div: 8.0ms (24.8% of total)ival-pow2: 5.0ms (15.5% of total)ival-sqrt: 3.0ms (9.3% of total)ival-sub: 2.0ms (6.2% of total)ival-true: 1.0ms (3.1% of total)exact: 1.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 501 |
| 1 | 528 | 492 |
| 2 | 1701 | 492 |
| 3 | 5688 | 492 |
| 0 | 17 | 18 |
| 0 | 26 | 18 |
| 1 | 49 | 18 |
| 2 | 124 | 18 |
| 3 | 926 | 18 |
| 4 | 5132 | 18 |
| 0 | 8254 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
(abs d)
(abs D)
(abs M)
(negabs w0)
(sort M D)
Compiled 18 to 17 computations (5.6% saved)
Compiled 0 to 6 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Compiled 18 to 17 computations (5.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9259899052221723 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| accuracy | 3.984048138754801 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | |
| accuracy | 10.219346699635105 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 33.0ms | 256× | 0 | valid |
Compiled 192 to 36 computations (81.3% saved)
ival-mult: 6.0ms (36.3% of total)ival-div: 4.0ms (24.2% of total)ival-pow2: 4.0ms (24.2% of total)ival-sqrt: 2.0ms (12.1% of total)ival-sub: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* 1/2 (/ (* D M) d)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | h | @ | inf | ((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))) |
| 5.0ms | M | @ | inf | ((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))) |
| 5.0ms | D | @ | inf | ((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))) |
| 4.0ms | l | @ | 0 | ((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))) |
| 4.0ms | w0 | @ | -inf | ((* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (/ (* M D) (* 2 d)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 602 | 4226 |
| 0 | 2342 | 4090 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* 1/2 (/ (* D M) d)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))) w0) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
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(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
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(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 l h) #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 h h)) (*.f64 l l))) #s(literal -1/128 binary64)))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 h h) w0)) (*.f64 l l))) #s(literal -1/128 binary64))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (*.f64 (*.f64 h h) w0)) (*.f64 l l))) #s(literal -1/128 binary64)))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (*.f64 (pow.f64 d #s(literal 4 binary64)) l)) #s(literal 1/128 binary64))) l) #s(literal -1 binary64) w0) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 d #s(literal 6 binary64)) l)) #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) l))) l) #s(literal -1 binary64) w0) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 d d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 d d) D) (/.f64 w0 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 w0 (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 d d) w0) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) (sqrt.f64 (/.f64 h l)))) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 0 | 26 | 54 |
| 1 | 85 | 54 |
| 2 | 575 | 54 |
| 0 | 8214 | 52 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 M M)) (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 #s(literal 1/2 binary64) M)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 D M)) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (/.f64 (neg.f64 h) l) M) (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M))) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 #s(literal -2 binary64) d)) (*.f64 D M)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 #s(literal 1/2 binary64) M)) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)) |
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(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (fabs.f64 (neg.f64 d))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (fabs.f64 d)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (fabs.f64 (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) |
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M))) |
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) |
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)))))) (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d))) #s(literal 1 binary64)))) |
Compiled 15 498 to 3 117 computations (79.9% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 500 | 18 | 518 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 500 | 19 | 519 |
| Status | Accuracy | Program |
|---|---|---|
| 54.8% | (*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0) | |
| 65.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d))))) | |
| 56.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h)))))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h)))))) | |
| 68.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) | |
| 68.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) | |
| 58.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) | |
| ✓ | 80.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ▶ | 82.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))) |
| 72.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64))))))) | |
| 75.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) | |
| ▶ | 80.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| 77.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) | |
| ▶ | 50.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
| ▶ | 66.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
| 55.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) | |
| 54.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| ▶ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 53.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
Compiled 886 to 759 computations (14.3% saved)
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9259899052221723 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) | |
| accuracy | 10.979623121166282 | (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) | |
| accuracy | 11.526000179537562 | (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) | |
| accuracy | 4.148061670132425 | (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) | |
| accuracy | 5.742758545970392 | (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) | |
| accuracy | 6.5406606433507495 | (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) | |
| accuracy | 5.4363270606734595 | (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)) | |
| accuracy | 6.285246225397437 | (*.f64 (/.f64 h l) D) | |
| accuracy | 6.489610136330672 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))) | |
| accuracy | 6.857647509220561 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) | |
| accuracy | 1.9259899052221723 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| accuracy | 18.672031723042064 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| accuracy | 4.230703808960259 | (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))) | |
| accuracy | 5.261132378089545 | (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) | |
| accuracy | 7.792844291543537 | (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
| 102.0ms | 225× | 0 | valid |
| 15.0ms | 31× | 0 | invalid |
Compiled 1 118 to 122 computations (89.1% saved)
ival-mult: 37.0ms (48.1% of total)ival-sqrt: 14.0ms (18.2% of total)ival-div: 10.0ms (13% of total)ival-sub: 6.0ms (7.8% of total)ival-pow2: 5.0ms (6.5% of total)ival-pow: 5.0ms (6.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))) |
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))) |
(*.f64 (/.f64 h l) D) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) |
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) (* d l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* -2 (/ (* D (* M (* d h))) l)) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(* 4 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) d) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(/ (* D h) l) |
(/ (* (pow D 2) h) (* (pow d 2) l)) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2)))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))) |
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2)))))))) |
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | M | @ | -inf | ((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))))) |
| 13.0ms | d | @ | 0 | ((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))))) |
| 11.0ms | D | @ | inf | ((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))))) |
| 9.0ms | l | @ | 0 | ((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))))) |
| 8.0ms | D | @ | 0 | ((* (/ D d) (* (* M M) 1/4)) (/ (* (/ D d) (* (* M M) 1/4)) l) (sqrt (- 1 (* (/ (* (/ D d) (* (* M M) 1/4)) l) (/ (/ D d) (pow h -1))))) (/ (/ D d) (pow h -1)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (* (* (/ h l) D) (* (* -2 d) M)) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (/ h l) D) (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)) (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (* D 1/2) (* (/ M d) M)) (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))) (* (pow (/ D d) 2) (/ h l)) (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))) (* w0 (sqrt (- 1 (* (* (* M M) 1/4) (* (pow (/ D d) 2) (/ h l))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 914 | 6645 |
| 0 | 3530 | 6427 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (pow M 2)) (* d l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(* -2 (/ (* D (* M (* d h))) l)) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(* 4 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) d) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(/ (* D h) l) |
(/ (* (pow D 2) h) (* (pow d 2) l)) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2)))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))) |
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2)))))))) |
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))) w0) |
(* 1/4 (/ (* D (pow M 2)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (pow M 2)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) D) d) l) #s(literal 1/4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) w0) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 D D) h) w0)) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0) |
(* -2 (/ (* D (* M (* d h))) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 h d) M) D) l) #s(literal -2 binary64)) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h)) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (*.f64 l l)))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h)) (pow.f64 D #s(literal 4 binary64))) (*.f64 l l)) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) #s(literal -4 binary64))) (*.f64 M M) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal -2 binary64))) (*.f64 M M) #s(literal 1 binary64)) |
(* 4 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal 4 binary64)) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 M M) D) d)) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) w0) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 w0 d) D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) M) D) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 5 binary64))) (pow.f64 M #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l)))))) M) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M)) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M)) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M)) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d) (sqrt.f64 (/.f64 h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d)) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 269 |
| 0 | 93 | 273 |
| 1 | 331 | 263 |
| 2 | 2790 | 243 |
| 0 | 8403 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64)))))) |
(/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)))) |
(*.f64 (/.f64 h l) D) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) |
(*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) M)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 D d)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 D d) M) M)) |
(*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 D d))) |
(*.f64 M (*.f64 (*.f64 #s(literal 1/4 binary64) M) (/.f64 D d))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) |
(*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) d)) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) |
(pow.f64 (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) d) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (neg.f64 (/.f64 d D))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 d D)) |
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 #s(literal 1/4 binary64) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (*.f64 #s(literal 1/4 binary64) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (/.f64 D d))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (/.f64 (/.f64 D d) l)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) (pow.f64 (*.f64 (/.f64 d D) l) #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) |
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 l #s(literal -1 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) #s(literal 1 binary64))) (neg.f64 (*.f64 d l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal 1 binary64))) (neg.f64 l)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)))) (neg.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (*.f64 (neg.f64 d) l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M)))) (neg.f64 (*.f64 (/.f64 d D) l))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (pow.f64 l #s(literal -1 binary64))) d) |
(/.f64 (*.f64 (neg.f64 D) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) (/.f64 d D)) |
(/.f64 (*.f64 D (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l)) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) (neg.f64 (*.f64 d l))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) #s(literal 1 binary64)) (*.f64 d l)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 M M))) (*.f64 (/.f64 d D) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D) (*.f64 d l)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) (neg.f64 l)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/4 binary64)) (*.f64 M M)) l) |
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M M)) (/.f64 D d)) l)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (/.f64 D d) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) h)) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) h) l) |
(/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 l h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) h)))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) h))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))))))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 4 binary64))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) l) h) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64))))))) |
(sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (/.f64 h l)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) #s(literal 1 binary64)))) |
Compiled 23 005 to 3 845 computations (83.3% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 622 | 12 | 634 |
| Fresh | 4 | 9 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 630 | 23 | 653 |
| Status | Accuracy | Program |
|---|---|---|
| 77.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 65.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d))))) | |
| 56.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h)))))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h)))))) | |
| ▶ | 68.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
| 58.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) | |
| 81.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d))))) | |
| ▶ | 83.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)))) |
| 82.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))))) | |
| ✓ | 80.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ▶ | 84.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| 75.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) | |
| 82.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) | |
| 84.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) | |
| 77.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) | |
| 81.0% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) | |
| 55.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) | |
| 53.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) | |
| ▶ | 75.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| 55.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) | |
| 54.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ▶ | 31.1% | (*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
Compiled 1 122 to 920 computations (18% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.641112651967592 | (*.f64 M (/.f64 D d)) | |
| accuracy | 3.9353220307704437 | (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l) | |
| accuracy | 4.029083161351243 | (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l))) | |
| accuracy | 3.7857685283129996 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) | |
| accuracy | 3.98682772077956 | (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) | |
| accuracy | 6.550070153798855 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))) | |
| accuracy | 6.682480780618055 | (*.f64 (/.f64 h l) (*.f64 D M)) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) | |
| accuracy | 4.6586065601313145 | (*.f64 (*.f64 M M) D) | |
| accuracy | 5.742758545970392 | (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) | |
| accuracy | 8.7737943001582 | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d)) | |
| accuracy | 6.724713527939357 | (*.f64 (*.f64 d d) h) | |
| accuracy | 10.68358094962428 | (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) | |
| accuracy | 11.568753186432986 | (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) | |
| accuracy | 11.963681957062732 | #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) | |
| accuracy | 4.672671453733652 | (*.f64 h (*.f64 (/.f64 M d) M)) | |
| accuracy | 5.376826092899718 | (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) | |
| accuracy | 5.742758545970392 | (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
| 125.0ms | 225× | 0 | valid |
| 16.0ms | 31× | 0 | invalid |
Compiled 1 371 to 152 computations (88.9% saved)
ival-mult: 56.0ms (57.8% of total)ival-div: 22.0ms (22.7% of total)ival-sqrt: 8.0ms (8.3% of total)ival-sub: 6.0ms (6.2% of total)ival-pow2: 2.0ms (2.1% of total)ival-add: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) |
(*.f64 h (*.f64 (/.f64 M d) M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) |
(*.f64 (*.f64 d d) h) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d)) |
(*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M M) D) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 h l) (*.f64 D M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))) |
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l) |
(*.f64 M (/.f64 D d)) |
| Outputs |
|---|
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(/ (* (pow M 2) h) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l) |
(/ (* (pow M 2) (* (pow d 2) h)) l) |
(* D (pow M 2)) |
(/ (* D (* M h)) l) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) |
(* 2 (/ d (* D M))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* D M) d) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2)))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2)))))))) |
(* (pow d 2) h) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))) |
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l))))) |
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))) |
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2)))))))) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | w0 | @ | 0 | ((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d))) |
| 9.0ms | h | @ | -inf | ((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d))) |
| 9.0ms | D | @ | -inf | ((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d))) |
| 8.0ms | M | @ | inf | ((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d))) |
| 7.0ms | d | @ | 0 | ((* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)) (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* h (* (/ M d) M)) (sqrt (- 1 (* (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (* (* D D) (* (* M M) (/ (* (* d d) h) l))) (* (* M M) (/ (* (* d d) h) l)) (* (* d d) h) (/ (* 1/2 (* (* (* M M) D) h)) (* l d)) (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)) (* (* M M) D) (sqrt (- 1 (* (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (* (/ D d) 1/2)))) (* (/ h l) (* D M)) (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)) (* (/ (/ 2 D) M) d) (sqrt (- 1 (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l))) (* (* 1/4 (pow (* M (/ D d)) 2)) h) (/ (* (* 1/4 (pow (* M (/ D d)) 2)) h) l) (* M (/ D d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 956 | 6616 |
| 0 | 3535 | 6393 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(/ (* (pow M 2) h) d) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l) |
(/ (* (pow M 2) (* (pow d 2) h)) l) |
(* D (pow M 2)) |
(/ (* D (* M h)) l) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) |
(* 2 (/ d (* D M))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* D M) d) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))) (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l))))) |
(+ 1 (* (pow D 2) (+ (* -2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (* (pow D 2) (+ (* -4 (/ (* (pow D 2) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow M 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) h))) (pow l 2)))))) |
(+ 1 (* h (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (* h (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) h))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow d 4))) (pow l 2)))))))) |
(* (pow d 2) h) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ l (pow h 3))))) (* (* D (* M (* d (sqrt -4)))) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l))))))))) |
(* -1 (* h (+ (* -1/64 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow d 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/512 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow d 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/4 (* (/ (sqrt -1) (* D (* M d))) (sqrt (/ l (pow h 3))))) (* 2 (* (* D (* M (* d (sqrt -1)))) (sqrt (/ 1 (* h l)))))))))) |
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l))))) |
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ (pow l 3) h)))) (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l)))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (* D (* M (* d (sqrt -4)))) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (* d (sqrt -4))))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2))))) |
(+ 1 (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) (pow l 3))) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h)))) (* 2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))) l))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 6) (pow h 3)))) l)) (* -2 (* (pow D 4) (* (pow M 4) (* (pow d 4) (pow h 2)))))) l)) (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 4) (* (pow d 2) (pow h 2)))) (pow l 2)))))) |
(+ 1 (* (pow d 2) (+ (* -2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (* (pow d 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 6) (* (pow d 2) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2)))))))) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
| Outputs |
|---|
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d)) |
(/ (* (pow M 2) h) d) |
(/.f64 (*.f64 (*.f64 M M) h) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* -2 (/ (* (pow D 4) (* (pow M 2) (* (pow d 4) (pow h 2)))) (pow l 2)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h)) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (*.f64 l l)))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (* (pow M 2) (+ (* -4 (/ (* (pow D 6) (* (pow M 2) (* (pow d 6) (pow h 3)))) (pow l 3))) (* -2 (/ (* (pow D 4) (* (pow d 4) (pow h 2))) (pow l 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 h h)) (pow.f64 D #s(literal 4 binary64))) (*.f64 l l)) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 l #s(literal 3 binary64))) #s(literal -4 binary64))) (*.f64 M M) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal -2 binary64))) (*.f64 M M) #s(literal 1 binary64)) |
(/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) |
(/ (* (pow M 2) (* (pow d 2) h)) l) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) |
(* D (pow M 2)) |
(*.f64 (*.f64 M M) D) |
(/ (* D (* M h)) l) |
(/.f64 (*.f64 (*.f64 M h) D) l) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 l d))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 d d)) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 (*.f64 l d) #s(literal 3 binary64))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 l d))) (*.f64 M M) #s(literal 1 binary64)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) |
(*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/2 binary64)) |
(* 2 (/ d (* D M))) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64)) |
(/ (* D M) d) |
(/.f64 (*.f64 D M) d) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 d #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 l h)) (/.f64 (/.f64 d D) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (* D (* M (* d (sqrt -4)))) (sqrt (/ h l))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) M) D) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* d (sqrt -4))) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 5 binary64))) (pow.f64 M #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 (*.f64 M M) d) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) d) D) (sqrt.f64 (/.f64 h l)))))) M) |
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))) |
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l d))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D)) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d))))) M) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (/.f64 l h))) (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (*.f64 M M)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) D) (sqrt.f64 (/.f64 h (*.f64 l d)))))) M) |
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (* (pow d 3) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (* (pow d 5) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (* d (sqrt -4))))) (sqrt (/ l h)))) (* (* M (* d (sqrt -4))) (sqrt (/ h l)))))))) |
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
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(* (pow d 2) h) |
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(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3))))))))) |
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(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
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(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) d) (pow.f64 h #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 d h) #s(literal 3 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 d h))))) (*.f64 d d) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d) |
(* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d) |
(* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d) |
(* -1 (* d (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d)) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l))))) d)) |
(* -1 (* d (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (* (pow d 4) (pow (sqrt -4) 3))))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (* (pow d 6) (pow (sqrt -4) 5))))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (* (pow d 2) (sqrt -4))))) (sqrt (/ l h)))) (* (* D (* M (sqrt -4))) (sqrt (/ h l)))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 M #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) D) (*.f64 (*.f64 M (*.f64 d d)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 l h))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))))) d)) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (*.f64 l l) d)) #s(literal 1/32 binary64) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 l l)) #s(literal -1/32 binary64))) d))) d) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 312 |
| 0 | 115 | 312 |
| 1 | 408 | 308 |
| 2 | 3087 | 296 |
| 0 | 9050 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) |
(*.f64 h (*.f64 (/.f64 M d) M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64))) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) |
(*.f64 (*.f64 d d) h) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d)) |
(*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M M) D) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 h l) (*.f64 D M)) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))) |
(/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l) |
(*.f64 M (/.f64 D d)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (/.f64 #s(literal 1/2 binary64) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) l)) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) l)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(pow.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d)) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)))) (neg.f64 (*.f64 (neg.f64 l) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 d (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)))) (*.f64 (neg.f64 l) d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 l) d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (*.f64 (/.f64 l (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64))) (/.f64 d h)) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (neg.f64 l) d)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) D) #s(literal 1/2 binary64)) l) (/.f64 h d))) d) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 D)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) M) h)) (*.f64 D (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) l) |
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(*.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -3/2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -3/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l))) (sqrt.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -3/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)))))) |
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -3/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 3 binary64)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l))) |
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 h #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) |
(*.f64 h (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 h l)) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h) l)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l)) |
(*.f64 h (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) l)) |
(*.f64 h (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 l #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) #s(literal 1 binary64))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))) (neg.f64 l)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)))) (neg.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)))) |
(/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h) l) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 l h)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) h)) l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) h))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)))) |
(*.f64 (fabs.f64 (/.f64 D d)) M) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 D d))) (exp.f64 (log.f64 M))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) (sqrt.f64 (*.f64 (/.f64 D d) M))) |
(*.f64 (*.f64 D M) (fabs.f64 (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 (*.f64 D M) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) M) |
(*.f64 D (fabs.f64 (/.f64 M d))) |
(*.f64 D (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 D (/.f64 M d)) |
(*.f64 M (fabs.f64 (/.f64 D d))) |
(*.f64 M (/.f64 D d)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 M (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 D M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 M #s(literal 1 binary64))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) M)) (neg.f64 (neg.f64 d))) |
(/.f64 (fabs.f64 (*.f64 M (neg.f64 D))) d) |
(/.f64 (fabs.f64 (*.f64 M #s(literal 1 binary64))) (fabs.f64 (/.f64 d D))) |
(/.f64 (fabs.f64 (neg.f64 (*.f64 D M))) d) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 d))) |
(/.f64 (*.f64 M (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 D) M) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 D M)))) |
(/.f64 (neg.f64 M) (neg.f64 (/.f64 d D))) |
(/.f64 (*.f64 D M) d) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D M)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D M))) |
(/.f64 M (fabs.f64 (/.f64 d D))) |
(/.f64 M (/.f64 d D)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (/.f64 D d) M))) |
(fabs.f64 (*.f64 (/.f64 D d) M)) |
(exp.f64 (log.f64 (*.f64 (/.f64 D d) M))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 D d) M))) (sinh.f64 (log.f64 (*.f64 (/.f64 D d) M)))) |
Compiled 26 815 to 4 257 computations (84.1% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 681 | 13 | 694 |
| Fresh | 4 | 12 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 689 | 28 | 717 |
| Status | Accuracy | Program |
|---|---|---|
| 77.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 83.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)))) |
| 65.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d))))) | |
| 56.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h)))))) | |
| 64.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h)))))) | |
| 68.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) | |
| 58.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) | |
| ▶ | 77.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))) |
| ▶ | 69.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
| 70.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) | |
| 56.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) | |
| 64.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) (*.f64 D M)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (/.f64 h l)) #s(literal -1 binary64)))))) | |
| ✓ | 80.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ▶ | 86.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| 75.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) | |
| 82.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) | |
| 84.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) | |
| 69.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) | |
| 77.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) | |
| 67.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) | |
| 55.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) | |
| 77.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) | |
| 77.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) | |
| 55.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) | |
| 58.6% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| ▶ | 54.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ✓ | 31.1% | (*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
Compiled 1 361 to 1 124 computations (17.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.656737651967592 | (*.f64 (/.f64 D d) M) | |
| accuracy | 3.9353220307704437 | (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l) | |
| accuracy | 4.26427944867364 | (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l))) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))) | |
| accuracy | 5.97334118410222 | (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) | |
| accuracy | 7.082585609681539 | (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) | |
| accuracy | 7.157252498265375 | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) | |
| accuracy | 3.175113280954351 | (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) | |
| accuracy | 3.657273090565611 | (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) | |
| accuracy | 4.861646906493421 | (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) | |
| accuracy | 6.550070153798855 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) | |
| accuracy | 6.345971109024084 | (*.f64 (*.f64 d d) l) | |
| accuracy | 10.827968582901352 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) | |
| accuracy | 13.053319297034692 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| accuracy | 14.918927838248363 | (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) | |
| accuracy | 3.9859805840459894 | (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) | |
| accuracy | 4.436545475734922 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) | |
| accuracy | 5.742758545970392 | (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) | |
| accuracy | 5.838873279288899 | (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) |
| 119.0ms | 244× | 0 | valid |
| 5.0ms | 12× | 0 | invalid |
Compiled 1 237 to 138 computations (88.8% saved)
ival-mult: 48.0ms (57.1% of total)ival-div: 15.0ms (17.8% of total)ival-sqrt: 8.0ms (9.5% of total)ival-sub: 6.0ms (7.1% of total)ival-pow2: 5.0ms (5.9% of total)ival-add: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(*.f64 (*.f64 d d) l) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) |
(/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) |
(*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l) |
(*.f64 (/.f64 D d) M) |
| Outputs |
|---|
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* 1/2 (/ (* D (* (pow M 2) h)) d)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* (pow D 2) (* (pow M 2) h)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* D M) d) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l))))) |
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (pow d 2) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | M | @ | inf | ((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M)) |
| 5.0ms | d | @ | inf | ((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M)) |
| 5.0ms | h | @ | -inf | ((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M)) |
| 5.0ms | M | @ | -inf | ((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M)) |
| 5.0ms | h | @ | 0 | ((/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)) (sqrt (- 1 (* (/ (* (* (/ M d) (* M h)) (* 1/2 D)) l) (* (/ D d) 1/2)))) (* (* (/ M d) (* M h)) (* 1/2 D)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (* (* (* M M) h) (* D D)) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* (* d d) l) (sqrt (- 1 (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l))) (/ (* (* (* D h) M) (* (* (/ D d) 1/2) M)) l) (* (* (/ D d) 1/2) M) (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)) (* (* (* D 1/2) h) (* (/ M d) M)) (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (sqrt (- 1 (/ (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (* l d)))) (sqrt (- 1 (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l))) (* (pow (* (/ D d) M) 2) (* 1/4 h)) (/ (* (pow (* (/ D d) M) 2) (* 1/4 h)) l) (* (/ D d) M)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 660 | 4297 |
| 0 | 2407 | 4156 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* 1/2 (/ (* D (* (pow M 2) h)) d)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* (pow D 2) (* (pow M 2) h)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* D M) d) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l)))) |
(* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* (* D (* M (sqrt -1/2))) (sqrt (/ h (* d l))))) |
(* -1 (* M (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* M (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 4) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 6) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* (pow M 2) (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* D (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* -1/32 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* d l))) (* (pow D 2) (+ (* -1/32 (/ (* (pow M 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 2) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* d l))) (* h (+ (* -1/32 (/ (* (pow D 4) (pow M 4)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 3) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))) |
(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l))))) |
(* -1 (* h (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l))))))))) |
(* -1 (* h (+ (* -1/8 (* (/ (sqrt -1) (* (pow D 3) (* (pow M 3) (pow (sqrt 1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ (sqrt -1) (* (pow D 5) (* (pow M 5) (pow (sqrt 1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ (sqrt -1) (* D (* M (sqrt 1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ 1 (* d (* h l)))))))))) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(* (pow d 2) l) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d (pow l 3)) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d)))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) l) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l)))))))) l) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* h l) d))) (* (pow l 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ d (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow d 3) (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow d 5) (* (pow h 5) l)))))))))) l) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))))) |
(+ 1 (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l))) (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) (pow l 3))))))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 2) l))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 3) l)))) l)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) d))) l))) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* (pow d 3) l) h)))) (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* d (pow l 3)) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h)))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
| Outputs |
|---|
(* 1/2 (/ (* D (* (pow M 2) h)) (* d l))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/128 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/1024 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (*.f64 h h) (*.f64 l l))) #s(literal -1/128 binary64))) (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M) #s(literal 1 binary64)) |
(* 1/2 (/ (* D (* (pow M 2) h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) #s(literal 1/2 binary64)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l)) |
(* (pow D 2) (* (pow M 2) h)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* d l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* -1/32 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 2) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 D #s(literal 4 binary64)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 h h) (*.f64 M M)) (*.f64 l l))) #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 D D) h)) (*.f64 l d))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* d l))) (* (pow M 2) (+ (* -1/32 (/ (* (pow D 4) (pow h 2)) (* (pow d 2) (pow l 2)))) (* -1/128 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 3) (pow l 3))))))))) |
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(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* -1 (* D (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l)))))))) |
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(* -1 (* D (+ (* -1/8 (* (/ 1 (* (pow D 4) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 3))))) (+ (* 1/16 (* (/ 1 (* (pow D 6) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* (pow D 2) (* M (sqrt -1/2)))) (sqrt (/ (* d l) h)))) (* (* M (sqrt -1/2)) (sqrt (/ h (* d l))))))))) |
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
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(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
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(* h (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))) |
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(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l)))))))) |
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(* h (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (* (pow d 3) (pow l 3)) (pow h 5))))) (+ (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (* (pow d 5) (pow l 5)) (pow h 7))))) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ (* d l) (pow h 3))))) (* (* D (* M (sqrt -1/2))) (sqrt (/ 1 (* d (* h l))))))))) |
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(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
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(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
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(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
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(* -1 (* (* D (* M (* (sqrt -1) (sqrt 1/2)))) (sqrt (/ h (* d l))))) |
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(/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 d (pow.f64 (/.f64 l h) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 h d))))) (*.f64 d d) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d) |
(/ (+ (* (* D (* M (sqrt -1/2))) (sqrt (/ (* d h) l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/2)))) (sqrt (/ l (* d h))))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/2) 3)))) (sqrt (/ (pow l 3) (* (pow d 3) (pow h 3)))))) (* 1/16 (* (/ 1 (* (pow D 5) (* (pow M 5) (pow (sqrt -1/2) 5)))) (sqrt (/ (pow l 5) (* d (pow h 5))))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 3 binary64))) (pow.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 h d) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 D #s(literal 5 binary64))) (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))))) (sqrt.f64 (/.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) d) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) (sqrt.f64 (/.f64 l (*.f64 h d))))) (*.f64 d d) (*.f64 (sqrt.f64 (*.f64 d (/.f64 h l))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) M) D))) d) |
(+ 1 (* -1 (/ (+ (* 1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* d (pow l 2)))) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 (*.f64 l l) d)) #s(literal 1/32 binary64))) d) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow l 2))) (* -1/128 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* d (pow l 3))))) d)) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) d))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (*.f64 (pow.f64 l #s(literal 3 binary64)) d)) #s(literal -1/128 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (*.f64 l l)) #s(literal -1/32 binary64))) d))) d) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 294 |
| 0 | 104 | 294 |
| 1 | 379 | 294 |
| 2 | 3115 | 278 |
| 0 | 8301 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(*.f64 (*.f64 d d) l) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l))) |
(/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) |
(*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l) |
(*.f64 (/.f64 D d) M) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 D (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 #s(literal 1/2 binary64) h)) (/.f64 D l)) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (/.f64 M l)) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 h (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))) |
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) l)) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (/.f64 M d) M) l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) h) M) l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) |
(*.f64 (*.f64 h M) (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)) l)) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 h M) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l))) |
(pow.f64 (/.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) d) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) #s(literal 1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) (neg.f64 l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) l) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M))) #s(literal -1 binary64)) (pow.f64 (/.f64 d #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M))) #s(literal -1 binary64)) (pow.f64 (/.f64 l #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) #s(literal -1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) |
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)) #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) l) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) d) (/.f64 #s(literal 1/2 binary64) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) l) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M))) (pow.f64 (*.f64 l d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (pow.f64 (/.f64 d (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) d)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) l) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) d) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) (/.f64 #s(literal 1/2 binary64) (*.f64 l d))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 M (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) l)) |
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (/.f64 d (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M))) (pow.f64 (*.f64 (neg.f64 l) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) (*.f64 l d)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) (pow.f64 (*.f64 l d) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d))) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 l d))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) h) M)) (*.f64 l d))) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)))) |
(*.f64 (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) h) M)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 #s(literal 1/2 binary64) h)) (/.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) d)) |
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(*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
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(*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (*.f64 M M) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (/.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) l)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) (/.f64 h l)))) |
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 h l))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l)) |
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h) l) |
(/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (/.f64 l h)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 h)) l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) h))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)))) |
(*.f64 (fabs.f64 (/.f64 D d)) M) |
(*.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 D d))) (exp.f64 (log.f64 M))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) (sqrt.f64 (*.f64 (/.f64 D d) M))) |
(*.f64 (*.f64 D M) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 D M) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) M) |
(*.f64 D (fabs.f64 (/.f64 M d))) |
(*.f64 D (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 D (/.f64 M d)) |
(*.f64 M (fabs.f64 (/.f64 D d))) |
(*.f64 M (/.f64 D d)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) |
(/.f64 (fabs.f64 (*.f64 M #s(literal 1 binary64))) (fabs.f64 (/.f64 d D))) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) d) |
(/.f64 (fabs.f64 (*.f64 D M)) d) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 d))) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d)) |
(/.f64 (*.f64 D M) d) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 d (*.f64 D M)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 D M))) |
(/.f64 M (fabs.f64 (/.f64 d D))) |
(/.f64 M (/.f64 d D)) |
(fabs.f64 (neg.f64 (*.f64 (/.f64 D d) M))) |
(fabs.f64 (*.f64 (/.f64 D d) M)) |
(exp.f64 (log.f64 (*.f64 (/.f64 D d) M))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 D d) M))) (sinh.f64 (log.f64 (*.f64 (/.f64 D d) M)))) |
Compiled 20 973 to 3 842 computations (81.7% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 610 | 18 | 628 |
| Fresh | 11 | 9 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 626 | 30 | 656 |
| Status | Accuracy | Program |
|---|---|---|
| 65.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d))))) | |
| 56.3% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h)))))) | |
| 86.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) | |
| 58.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) | |
| 78.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d))))) | |
| 70.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) | |
| 83.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))) | |
| 62.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) | |
| 60.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) | |
| ✓ | 86.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| 82.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) | |
| 77.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) | |
| 69.0% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) | |
| 55.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) | |
| 78.4% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) | |
| 77.1% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) | |
| 55.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) | |
| 58.6% | (*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| 66.0% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) | |
| 58.3% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| 56.1% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| 60.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| 75.0% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) | |
| 66.3% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) | |
| 62.7% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) | |
| 68.6% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) | |
| 62.9% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) | |
| 65.0% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) | |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ✓ | 31.1% | (*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
Compiled 2 604 to 1 215 computations (53.3% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64))) h) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) h)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (neg.f64 h) l)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 d d) (/.f64 l h)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) (*.f64 (*.f64 #s(literal -2 binary64) d) (/.f64 l h)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) l) (/.f64 (pow.f64 (/.f64 D d) #s(literal 2 binary64)) (pow.f64 h #s(literal -1 binary64))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) (*.f64 D M)) #s(literal -1 binary64)) (pow.f64 (/.f64 d (/.f64 h l)) #s(literal -1 binary64)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
15 calls:
| 181.0ms | (*.f64 M D) |
| 41.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 35.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 18.0ms | w0 |
| 18.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 2 | w0 |
| 88.4% | 2 | M |
| 89.4% | 2 | D |
| 86.5% | 1 | h |
| 88.8% | 2 | l |
| 89.4% | 2 | d |
| 90.6% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 90.6% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 90.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 90.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 90.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 90.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.5% | 1 | (*.f64 M D) |
| 89.4% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 90.6% | 3 | (/.f64 h l) |
Compiled 93 to 140 computations (-50.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64)))))))) |
6 calls:
| 14.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 12.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 12.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 11.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 10.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 89.9% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 89.9% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.5% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 86.5% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 86.5% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 78 to 82 computations (-5.1% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) #s(literal 1/2 binary64)) M) (/.f64 M d)) (/.f64 D d)) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 D #s(literal 1 binary64)) (*.f64 (/.f64 d h) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) D)) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
10 calls:
| 16.0ms | M |
| 14.0ms | l |
| 13.0ms | d |
| 13.0ms | D |
| 12.0ms | w0 |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 1 | h |
| 86.5% | 1 | M |
| 86.5% | 1 | w0 |
| 86.5% | 1 | l |
| 86.5% | 1 | (/.f64 h l) |
| 86.5% | 1 | d |
| 86.5% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 86.5% | 1 | D |
| 86.5% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 86.5% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
Compiled 28 to 72 computations (-157.1% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h (*.f64 (/.f64 M d) M)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 #s(literal 1/2 binary64) D)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (*.f64 (/.f64 M d) M)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 M d)) (*.f64 D M)) #s(literal 1/2 binary64)) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M M)) l) (*.f64 h (/.f64 D d))))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)))))) |
15 calls:
| 21.0ms | h |
| 15.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 12.0ms | (/.f64 h l) |
| 11.0ms | M |
| 10.0ms | (*.f64 #s(literal 2 binary64) d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 3 | d |
| 84.6% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 86.8% | 3 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 86.8% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 85.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 85.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.6% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 85.7% | 3 | (/.f64 h l) |
| 82.2% | 1 | w0 |
| 86.6% | 3 | M |
| 84.8% | 2 | D |
| 85.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 87.1% | 3 | (*.f64 M D) |
| 82.2% | 1 | h |
| 82.2% | 1 | l |
Compiled 93 to 140 computations (-50.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
12 calls:
| 13.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 12.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 10.0ms | M |
| 9.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 9.0ms | (*.f64 #s(literal 2 binary64) d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 2 | (/.f64 h l) |
| 81.8% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 81.5% | 2 | D |
| 82.7% | 2 | M |
| 84.1% | 2 | d |
| 84.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 84.0% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 84.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 84.6% | 3 | (*.f64 M D) |
| 83.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 82.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 82.0% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
Compiled 90 to 122 computations (-35.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) D) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))))) |
4 calls:
| 10.0ms | d |
| 8.0ms | (*.f64 #s(literal 2 binary64) d) |
| 6.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 6.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 84.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 82.1% | 2 | d |
| 82.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
Compiled 35 to 45 computations (-28.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* D h) M) (* (* (/ D d) 1/2) M)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/2 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) M) D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (*.f64 #s(literal -2 binary64) d))) (*.f64 M D))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) (*.f64 D M)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* 1/4 (pow (* M (/ D d)) 2)) h) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 d d)) #s(literal 1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* (* (* (* D 1/2) h) (* (/ M d) M)) (* D 1/2)) (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal 1/4 binary64))) (*.f64 l d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D h) M) (*.f64 l (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) D) M) d)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
12 calls:
| 9.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 8.0ms | M |
| 8.0ms | h |
| 8.0ms | (*.f64 #s(literal 2 binary64) d) |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 80.8% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 81.1% | 2 | d |
| 81.1% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 79.5% | 2 | M |
| 79.4% | 2 | (*.f64 M D) |
| 75.0% | 1 | w0 |
| 75.0% | 1 | h |
| 75.0% | 1 | l |
| 81.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 80.6% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 80.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
Compiled 71 to 110 computations (-54.9% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) (*.f64 D D)) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1/4 binary64)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) #s(approx (* (pow (/ D d) 2) (/ h l)) (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l)))))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
2 calls:
| 5.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 4.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 81.8% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 31 to 30 computations (3.2% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 4.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 M M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
4 calls:
| 3.0ms | d |
| 3.0ms | (*.f64 #s(literal 2 binary64) d) |
| 3.0ms | D |
| 3.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 2 | d |
| 75.8% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 76.5% | 2 | D |
| 80.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 18 to 33 computations (-83.3% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) D) (*.f64 M M)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (/ (* (/ h l) (* D M)) (* (/ (/ 2 D) M) d)))) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
6 calls:
| 31.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 3.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 3.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 3.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 3.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 3 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 80.6% | 3 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 80.6% | 3 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 79.4% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 79.4% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 80.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 78 to 82 computations (-5.1% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 2.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
9 calls:
| 2.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 2.0ms | M |
| 2.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 2.0ms | (/.f64 h l) |
| 2.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 77.7% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 77.7% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 77.8% | 2 | (*.f64 M D) |
| 78.3% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 78.3% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 78.1% | 2 | M |
| 73.6% | 2 | (/.f64 h l) |
| 78.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 85 to 102 computations (-20% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (* (* (* (/ h l) D) (* (* -2 d) M)) (* D M)) (* -2 d)))) (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l))) #s(literal -2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 1.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 2.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 1.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 1.0ms | w0 |
| 1.0ms | (*.f64 #s(literal 2 binary64) d) |
| 1.0ms | (/.f64 h l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 1 | (/.f64 h l) |
| 70.5% | 1 | d |
| 70.5% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 70.5% | 1 | D |
| 70.5% | 1 | w0 |
| 70.5% | 1 | h |
| 70.5% | 1 | l |
| 70.5% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 70.5% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 70.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 70.5% | 1 | (*.f64 M D) |
| 70.5% | 1 | M |
| 70.5% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 70.5% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 70.5% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 93 to 140 computations (-50.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7731489365607005e-14 | 4.1470649472946585e-12 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.353608489952719e-38 | 1.1591086832256975e-37 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.936086119752712e-24 | 2.551956457391808e-23 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.468679999749909e-123 | 3.150813055662005e-122 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000001124 | 1.000008189665072 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9145325376084522e+114 | -2.1027844067121513e+51 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.1228375141901804e-13 | -4.5837727102804774e-17 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.378398083012743e+144 | -1.2595718295578452e+141 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.378398083012743e+144 | -1.2595718295578452e+141 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.9587946125264602e+295 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.9587946125264602e+295 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.9587946125264602e+295 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.9587946125264602e+295 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 927 |
| 1 | 315 | 927 |
| 2 | 442 | 927 |
| 3 | 691 | 927 |
| 4 | 1143 | 927 |
| 5 | 1828 | 927 |
| 6 | 2464 | 927 |
| 7 | 3060 | 927 |
| 8 | 3378 | 927 |
| 9 | 3634 | 927 |
| 10 | 3858 | 927 |
| 11 | 3886 | 927 |
| 12 | 3888 | 927 |
| 13 | 3950 | 927 |
| 14 | 4013 | 927 |
| 15 | 4077 | 927 |
| 16 | 4205 | 927 |
| 17 | 4397 | 927 |
| 18 | 4605 | 927 |
| 19 | 4813 | 927 |
| 20 | 4893 | 927 |
| 21 | 4909 | 927 |
| 22 | 4909 | 927 |
| 23 | 4909 | 927 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4503622145368633/4503599627370496 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 M h)) (*.f64 #s(literal 1/2 binary64) D)) l) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (/.f64 h l)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 h M) (/.f64 M d))) l)))) w0)) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 d (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 D h) M) #s(literal 1/2 binary64))))))))) |
(if (<=.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 D d) M)) l))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 (/.f64 l (/.f64 M d)) (*.f64 (*.f64 (*.f64 h D) M) #s(literal 1/2 binary64))) d)))) w0)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 #s(literal 1/4 binary64) h))) l)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) h) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 D d) M)) l))) w0) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) h) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d))))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 6805647338418769/1361129467683753853853498429727072845824 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) #s(literal 1/2 binary64)) D) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) D) h)))) w0)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D h) M) (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d)) l)))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 M M) h) D)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 7442828536787015/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) (*.f64 (*.f64 h D) M)) l))) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (* (* h (* (/ M d) M)) (* 1/2 D)) l) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) #s(literal 1/2 binary64)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) w0)) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 4503622145368633/4503599627370496 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 D M) M) h)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))))) |
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 4503622145368633/4503599627370496 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ h l) (* (* D 1/2) (* (/ M d) M))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) h) #s(literal 1/2 binary64)) (*.f64 l d))) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) (/.f64 (*.f64 (*.f64 D h) M) l))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -1000000000000000015559416129466843024268201396921061433369770580430833781164755703264985389915047447676206280867840 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h D) M) l) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M)))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 (*.f64 D h) D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 h D) D) (*.f64 l d)) (*.f64 (/.f64 M d) M)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 M d) h) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 D D) (*.f64 l d)) (*.f64 (*.f64 (/.f64 M d) h) M)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 (*.f64 h M) (*.f64 (/.f64 D (*.f64 d d)) (/.f64 D l)))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D l) (/.f64 D (*.f64 d d))) (*.f64 h M)) M) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 (*.f64 h M) (*.f64 D D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 h M) (*.f64 D D)) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 (*.f64 D h) D))) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) D) M) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (/.f64 D (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 (*.f64 M M) h) D)) #s(literal 1 binary64))) w0) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -inf.0 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (/.f64 h l) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal -inf.0 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) w0)) (*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 294 |
| 0 | 104 | 294 |
| 1 | 379 | 294 |
| 2 | 3115 | 278 |
| 0 | 8301 | 278 |
| 0 | 57 | 269 |
| 0 | 93 | 273 |
| 1 | 331 | 263 |
| 2 | 2790 | 243 |
| 0 | 8403 | 242 |
| 0 | 914 | 6645 |
| 0 | 3530 | 6427 |
| 0 | 602 | 4226 |
| 0 | 2342 | 4090 |
| 0 | 956 | 6616 |
| 0 | 3535 | 6393 |
| 0 | 70 | 312 |
| 0 | 115 | 312 |
| 1 | 408 | 308 |
| 2 | 3087 | 296 |
| 0 | 9050 | 294 |
| 0 | 17 | 54 |
| 0 | 26 | 54 |
| 1 | 85 | 54 |
| 2 | 575 | 54 |
| 0 | 8214 | 52 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 440 to 1 336 computations (45.2% saved)
(negabs w0)
(abs d)
Compiled 4 962 to 2 204 computations (55.6% saved)
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