
Time bar (total: 13.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 6 |
| 15.4% | 12.5% | 68.6% | 0.2% | 0% | 18.7% | 0% | 7 |
| 16.7% | 12.5% | 62.3% | 0.2% | 0% | 24.9% | 0% | 8 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 9 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 10 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 11 |
| 22.9% | 14.8% | 49.9% | 0.2% | 0% | 35.1% | 0% | 12 |
Compiled 37 to 24 computations (35.1% saved)
| 2.9s | 13 202× | 0 | invalid |
| 1.7s | 8 256× | 0 | valid |
ival-div: 1.1s (29.9% of total)ival-mult: 979.0ms (27.2% of total)ival-pow: 883.0ms (24.5% of total)ival-pow2: 445.0ms (12.4% of total)ival-sub: 169.0ms (4.7% of total)exact: 23.0ms (0.6% of total)ival-true: 18.0ms (0.5% of total)ival-assert: 10.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 0 | - | 1 | (7.22480544287791e-286 3.0131599853860433e+24 5.450822706172286e-305 -4.723952413184039e+260 -3.6017610197267755e-171) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 53 | 0 | - | 0 | - | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 37 | 0 | - | 1 | (7.187929881641095e+111 7.77824597511206e-117 4.4371841973371236e+195 -1.317537041521653e+192 -6.754057743714082e-52) | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
| 34 | 0 | - | 1 | (2.8075787516917927e-24 4.268388374605484e+162 1.8750248007357884e-174 9.993818660411843e-251 -2.5654771349273423e-72) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 18 | 0 | - | 1 | (1.2232989391677921e-145 1.3511701846796386e+51 1.4320803911763309e+299 -2.4831152813348255e+92 -2.793565273013561e-49) | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 d h) | overflow | 38 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 29 | 0 |
| ↳ | (/.f64 d h) | underflow | 29 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 28 | 0 |
| ↳ | (/.f64 d l) | overflow | 28 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 25 | 0 |
| ↳ | (/.f64 d l) | underflow | 25 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 15 | 0 |
| ↳ | (*.f64 M D) | overflow | 33 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 11 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 7 | 0 |
| ↳ | (/.f64 d h) | underflow | 29 | |
| ↳ | (/.f64 d l) | underflow | 25 | |
| ↳ | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | underflow | 15 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 77 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 77 | |
| ↳ | (/.f64 h l) | overflow | 35 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | overflow | 77 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | overflow | 77 | |
| ↳ | (*.f64 M D) | overflow | 33 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 36 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | o*u | 6 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 77 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 77 | |
| ↳ | (*.f64 M D) | overflow | 33 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 36 | |
| ↳ | (/.f64 h l) | underflow | 31 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*u | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 5 |
| - | 37 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 5 |
| - | 37 | 0 | 133 |
| number | freq |
|---|---|
| 0 | 138 |
| 1 | 80 |
| 2 | 25 |
| 3 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 103.0ms | 512× | 0 | valid |
Compiled 501 to 92 computations (81.6% saved)
ival-div: 21.0ms (30.7% of total)ival-pow: 21.0ms (30.7% of total)ival-mult: 17.0ms (24.9% of total)ival-pow2: 6.0ms (8.8% of total)ival-sub: 3.0ms (4.4% of total)ival-true: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 564 |
| 1 | 565 | 553 |
| 2 | 2087 | 548 |
| 3 | 5974 | 548 |
| 0 | 22 | 29 |
| 0 | 38 | 27 |
| 1 | 69 | 27 |
| 2 | 184 | 27 |
| 3 | 1266 | 27 |
| 4 | 4874 | 27 |
| 0 | 8230 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs D)
(abs M)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.02729427762313 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 8.232418105068463 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 12.583060186473524 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.886747660978227 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 47.0ms | 256× | 0 | valid |
Compiled 310 to 46 computations (85.2% saved)
ival-div: 10.0ms (29.7% of total)ival-pow: 10.0ms (29.7% of total)ival-mult: 8.0ms (23.8% of total)ival-pow2: 3.0ms (8.9% of total)ival-sub: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | M | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 8.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 4.0ms | M | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 4.0ms | h | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 3.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 70 |
| 0 | 67 | 70 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* 1/8 (/ (* (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 1/8 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 32 |
| 0 | 32 | 30 |
| 1 | 97 | 30 |
| 2 | 552 | 28 |
| 3 | 5898 | 28 |
| 0 | 8031 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (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)) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))) |
(*.f64 (fabs.f64 (sqrt.f64 d)) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
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(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64)) |
(/.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 M #s(literal 1/2 binary64)) 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 M #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) d) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) M) D)) |
(/.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 d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.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) M) D) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 D (*.f64 #s(literal 2 binary64) (/.f64 d M))) |
(/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) M)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) 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) M) D) d))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal 1 binary64)))) |
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) 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) M) D) 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 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)) #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
Compiled 18 206 to 2 586 computations (85.8% saved)
29 alts after pruning (29 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 461 | 29 | 490 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 462 | 29 | 491 |
| Status | Accuracy | Program |
|---|---|---|
| 67.9% | (*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 68.1% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 67.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 42.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) d) h)) (neg.f64 l)))) | |
| 51.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 h l) (*.f64 D M)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) M) D) d)))) | |
| 39.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) h))) | |
| 62.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) l) (/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 59.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.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)))))) | |
| 61.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))))))) | |
| 59.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) | |
| ▶ | 42.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l)))) |
| 62.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) | |
| 54.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))) | |
| ▶ | 66.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| 50.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l)))))) | |
| 34.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 D (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))))))) | |
| ▶ | 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
| 29.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 42.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 67.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 67.8% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 29.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 67.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 33.3% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 47.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 68.0% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 47.1% | (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 47.2% | (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 39.1% | (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 2 086 to 1 432 computations (31.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1415701234150877 | (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) | |
| accuracy | 5.808957121324593 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 3.0393677968759807 | (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) | |
| accuracy | 3.713337966258432 | (*.f64 M (/.f64 h l)) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 1.6333866871367555 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| accuracy | 4.610190509809697 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 4.689859402206881 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.093261061506679 | (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 9.560042914036286 | (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) | |
| accuracy | 4.610190509809697 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 4.689859402206881 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.670009914190045 | (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
| 94.0ms | 146× | 0 | valid |
| 83.0ms | 110× | 0 | invalid |
Compiled 1 672 to 138 computations (91.7% saved)
ival-mult: 90.0ms (66.2% of total)ival-div: 17.0ms (12.5% of total)ival-pow: 16.0ms (11.8% of total)ival-pow2: 5.0ms (3.7% of total)ival-sub: 4.0ms (2.9% of total)ival-sqrt: 3.0ms (2.2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* 1/2 (/ (* D M) d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* -2 (* D (* M d))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* (pow D 2) (* (pow M 2) h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | l | @ | 0 | ((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D)) |
| 11.0ms | M | @ | inf | ((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D)) |
| 8.0ms | h | @ | 0 | ((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D)) |
| 8.0ms | D | @ | -inf | ((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D)) |
| 6.0ms | d | @ | 0 | ((pow (/ h d) -1/2) (pow (/ d l) (/ 1 2)) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* (* (* M M) h) (* D D)) (* (* d d) l)) (pow (/ d h) (/ 1 2)) (* (* (* M M) h) (* D D)) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (* (* (* -2 d) M) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 518 |
| 0 | 409 | 508 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* 1/2 (/ (* D M) d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* -2 (* D (* M d))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* (pow D 2) (* (pow M 2) h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(* 1/8 (/ (* (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 1/8 binary64)) |
(/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 M h) D)) (*.f64 l d)) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64)) |
(* -2 (* D (* M d))) |
(*.f64 (*.f64 (*.f64 M d) D) #s(literal -2 binary64)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d)) |
(* (pow D 2) (* (pow M 2) h)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(/ (* M h) l) |
(*.f64 M (/.f64 h l)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 128 |
| 0 | 86 | 125 |
| 1 | 270 | 124 |
| 2 | 1755 | 118 |
| 0 | 8654 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) (*.f64 (*.f64 d d) l)) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
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(/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 l h)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 l) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 h)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) h))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) h)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 l h)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D)) M) |
(*.f64 (neg.f64 (*.f64 D #s(literal -2 binary64))) (*.f64 M d)) |
(*.f64 (neg.f64 (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M)) D) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (/.f64 D d)) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 (neg.f64 (/.f64 D d)) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M) |
(*.f64 (neg.f64 (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) |
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) d)) (fabs.f64 (*.f64 D M))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (fabs.f64 (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))))) |
(*.f64 (fabs.f64 (*.f64 D #s(literal 1/2 binary64))) (fabs.f64 (/.f64 M d))) |
(*.f64 (fabs.f64 (/.f64 M d)) (fabs.f64 (*.f64 D #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (neg.f64 D) M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (fabs.f64 (*.f64 D #s(literal -2 binary64))) (fabs.f64 (*.f64 M d))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M)) D) |
(*.f64 (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D)) M) |
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 (fabs.f64 (/.f64 D d)) (fabs.f64 (*.f64 M #s(literal 1/2 binary64)))) |
(*.f64 (fabs.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) M) |
(*.f64 (fabs.f64 (*.f64 M #s(literal 1/2 binary64))) (fabs.f64 (/.f64 D d))) |
(*.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d))) (exp.f64 (log.f64 (*.f64 D M)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M))) (exp.f64 (log.f64 D))) |
(*.f64 (exp.f64 (log.f64 D)) (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 D) M) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (pow.f64 (*.f64 D #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) #s(literal 1 binary64)) M) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) M) |
(*.f64 (*.f64 D #s(literal -2 binary64)) (*.f64 M d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) D) (/.f64 M d)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 (neg.f64 d) (*.f64 #s(literal -2 binary64) (*.f64 D M))) |
(*.f64 (neg.f64 D) (*.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(*.f64 (neg.f64 M) (*.f64 (*.f64 #s(literal -2 binary64) d) D)) |
(*.f64 (neg.f64 M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) |
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 d (*.f64 D M)) #s(literal 1 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 M d) D)) |
(*.f64 #s(literal -2 binary64) (*.f64 d (*.f64 D M))) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) |
(*.f64 (/.f64 D d) (pow.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 D M)) |
(*.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(*.f64 D (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M))) |
(*.f64 D (*.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(*.f64 M (fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D))) |
(*.f64 M (fabs.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)))) |
(*.f64 M (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) D) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (*.f64 #s(literal -2 binary64) d) D)) |
(*.f64 M (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (*.f64 (/.f64 D d) M))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) |
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (*.f64 M d) D))) |
(*.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 d (*.f64 D M)))) |
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 M d) D)) |
(*.f64 #s(literal 2 binary64) (*.f64 d (*.f64 D M))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 D d) M)) |
(*.f64 d (fabs.f64 (*.f64 #s(literal -2 binary64) (*.f64 D M)))) |
(*.f64 d (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 D M)) #s(literal 1 binary64))) |
(*.f64 d (*.f64 #s(literal -2 binary64) (*.f64 D M))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 D M) d)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64))) d) |
(/.f64 (neg.f64 (*.f64 M #s(literal 1/2 binary64))) (neg.f64 (/.f64 d D))) |
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) d)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 M (/.f64 D d))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M)) d) |
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) d) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64))) d) |
(/.f64 (fabs.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) d) |
(/.f64 (fabs.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 D) M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (fabs.f64 (*.f64 M #s(literal 1/2 binary64))) (fabs.f64 (/.f64 d D))) |
(/.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 D) M))) (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 M) d) #s(literal 2 binary64)) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) d) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 M) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)))) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 D (/.f64 (*.f64 #s(literal -2 binary64) d) M)) |
(/.f64 M (fabs.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)))) |
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) |
(neg.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) |
(-.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) (sinh.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))))) |
Compiled 40 708 to 3 558 computations (91.3% saved)
39 alts after pruning (39 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 957 | 33 | 990 |
| Fresh | 18 | 6 | 24 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 980 | 39 | 1 019 |
| Status | Accuracy | Program |
|---|---|---|
| 26.1% | (/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) | |
| 32.1% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| ▶ | 31.7% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
| 14.6% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l)) | |
| 27.3% | (-.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))) | |
| 26.1% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) | |
| 31.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 41.1% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 30.4% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 41.8% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 68.1% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 66.8% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| ▶ | 73.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| 59.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) | |
| 62.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) | |
| 57.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64))))) | |
| 42.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))))) | |
| 57.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d))) #s(literal 1/8 binary64))))) | |
| 37.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (* (* (* -2 d) M) D) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64))))) | |
| 29.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 19.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 27.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| ▶ | 41.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| 24.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 40.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 29.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 66.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 33.3% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 47.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 47.2% | (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 39.1% | (*.f64 (*.f64 (*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 21.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) | |
| 39.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 20.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 27.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) | |
| 27.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h)) | |
| 18.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 30.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
Compiled 3 264 to 2 300 computations (29.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6333866871367555 | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| accuracy | 4.610190509809697 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 4.689859402206881 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 8.670009914190045 | (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) | |
| accuracy | 1.6333866871367555 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| accuracy | 3.0393677968759807 | (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) | |
| accuracy | 3.713337966258432 | (*.f64 M (/.f64 h l)) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 3.14140442690182 | (*.f64 (*.f64 M d) D) | |
| accuracy | 4.631638892739918 | (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 6.085957302059743 | (sqrt.f64 (/.f64 l d)) | |
| accuracy | 8.553912524457331 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 0.14453125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| accuracy | 0.29071151393183103 | (/.f64 #s(literal 1 binary64) (*.f64 l h)) | |
| accuracy | 5.05437898850497 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| accuracy | 17.178190459518813 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| accuracy | 1.6706211040295489 | (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) | |
| accuracy | 4.689387336598915 | (/.f64 (*.f64 D M) d) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.553912524457331 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 123.0ms | 146× | 0 | valid |
| 87.0ms | 110× | 0 | invalid |
Compiled 1 366 to 155 computations (88.7% saved)
ival-div: 47.0ms (31.1% of total)ival-mult: 45.0ms (29.8% of total)ival-pow2: 28.0ms (18.5% of total)ival-pow: 16.0ms (10.6% of total)ival-sqrt: 8.0ms (5.3% of total)ival-sub: 4.0ms (2.6% of total)ival-add: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 D M) d) |
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 l d)) |
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 M d) D) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ l d)) |
1 |
(+ 1 (* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(* D (* M d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2)))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ 1 (* h l))) |
(/ 1 (* h l)) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 64.0ms | D | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 12.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 8.0ms | h | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 7.0ms | M | @ | inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 6.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ d h)) (sqrt (/ l d)) (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (* (* M d) D) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (pow (/ h d) -1/2) (/ (* M D) (* 2 d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 715 |
| 0 | 529 | 699 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ l d)) |
1 |
(+ 1 (* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l))) |
(* D (* M d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2)))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ 1 (* h l))) |
(/ 1 (* h l)) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2)))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/2 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
1 |
#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)) |
(* D (* M d)) |
(*.f64 (*.f64 M d) D) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) |
(* 1/8 (/ (* (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 1/8 binary64)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* 2 (/ (* (pow D 2) (* (pow M 2) (* (pow d 2) h))) l)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l) |
(* (pow d 2) (+ (* 2 (/ (* (pow D 2) (* (pow M 2) h)) l)) (/ 1 (pow d 2)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 d d))) (*.f64 d d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 l d))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/ (* M h) l) |
(*.f64 M (/.f64 h l)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* 2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 M M)) (*.f64 D D)) l) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h)) h) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h)) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* h (- (* -2 (/ (* (pow D 2) (* (pow M 2) (pow d 2))) l)) (/ 1 h)))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 d d) (*.f64 M M)) (*.f64 D D)) l) (neg.f64 (/.f64 #s(literal 1 binary64) h))) h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(/ (+ l (* 2 (* (pow D 2) (* (pow M 2) (* (pow d 2) h))))) l) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M)) l) l) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 l d)))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M)) |
(* (pow M 2) (+ (* 2 (/ (* (pow D 2) (* (pow d 2) h)) l)) (/ 1 (pow M 2)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) (*.f64 M M)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)) |
(* (pow D 2) (+ (* 2 (/ (* (pow M 2) (* (pow d 2) h)) l)) (/ 1 (pow D 2)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 (*.f64 d d) h) l)) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 D D))) (*.f64 D D)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 217 |
| 0 | 127 | 214 |
| 1 | 359 | 193 |
| 2 | 2317 | 187 |
| 0 | 8501 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 D M) d) |
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 l d)) |
(fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 M d) D) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 h #s(literal -1/2 binary64))) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 h d))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (neg.f64 (sqrt.f64 h)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (fabs.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h)))) |
(sqrt.f64 (/.f64 d h)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 h)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d h)))) |
(fabs.f64 (sqrt.f64 (/.f64 d h))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64) (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d h)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) |
(*.f64 (/.f64 (sqrt.f64 d) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64))) (/.f64 (pow.f64 d #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) |
(*.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 l) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 l) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (neg.f64 (sqrt.f64 d)) (pow.f64 (neg.f64 (sqrt.f64 l)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 l #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l))) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 l))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 l))))) |
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 d))) (fabs.f64 (neg.f64 (sqrt.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d)))) |
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 l d))))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (sqrt.f64 (/.f64 l d))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))) |
(neg.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) |
(sqrt.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d l)))) |
(sqrt.f64 (/.f64 d l)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 d l)))) |
(fabs.f64 (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))) |
(fabs.f64 (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) |
(fabs.f64 (sqrt.f64 (/.f64 d l))) |
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 l d))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal -1/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 d l)))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 d l))))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (/.f64 D d)) |
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 M D) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 M D)) |
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 (*.f64 M D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 M d) D) |
(*.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) (pow.f64 M #s(literal -1 binary64)))) |
(*.f64 M (/.f64 D d)) |
(*.f64 D (/.f64 M d)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) D)) |
(pow.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (*.f64 M D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 d M))) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 d M)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 D) (neg.f64 (/.f64 d M))) |
(/.f64 (*.f64 (neg.f64 M) D) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 M D)))) |
(/.f64 (*.f64 M D) d) |
(/.f64 D (/.f64 d M)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 M D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 M D))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) d)) |
(neg.f64 (/.f64 (*.f64 M D) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 M D) (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 M D))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) h) d)) |
(*.f64 (*.f64 h (*.f64 (/.f64 M d) D)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 (/.f64 M d) D)) |
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(/.f64 (neg.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 h)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))))) (neg.f64 (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))))) (neg.f64 (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 l))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 l))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(+.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)))) |
Compiled 38 071 to 4 606 computations (87.9% saved)
48 alts after pruning (47 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 918 | 40 | 958 |
| Fresh | 27 | 7 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 949 | 48 | 997 |
| Status | Accuracy | Program |
|---|---|---|
| 26.1% | (/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) | |
| 48.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) | |
| 30.7% | (/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))) | |
| 5.5% | (/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) | |
| 46.8% | (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 66.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 66.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 42.3% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 h l) M))) d))) | |
| ▶ | 43.0% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
| 24.7% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 57.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64))))) | |
| 42.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))))) | |
| 32.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 19.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) | |
| 32.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 73.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 66.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 35.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 50.7% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| ▶ | 49.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| ▶ | 73.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| 50.7% | (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 41.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 34.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) | |
| 39.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| ▶ | 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
| 29.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) | |
| 24.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) | |
| 41.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) | |
| 22.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) | |
| ▶ | 30.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) | |
| 30.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) | |
| 24.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) | |
| 3.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 30.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 18.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 20.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 30.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) | |
| 41.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 30.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d)) | |
| 29.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 31.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) | |
| 34.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 45.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 3 888 to 2 741 computations (29.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6333866871367555 | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) | |
| accuracy | 2.6059790027090095 | (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) | |
| accuracy | 4.83837851034197 | (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) | |
| accuracy | 8.670009914190045 | (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) | |
| accuracy | 1.2732317837268408 | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) | |
| accuracy | 1.6333866871367555 | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| accuracy | 3.0393677968759807 | (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) | |
| accuracy | 3.713337966258432 | (*.f64 M (/.f64 h l)) | |
| accuracy | 0.1640625 | (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) | |
| accuracy | 1.760382807206528 | (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))) | |
| accuracy | 8.553912524457331 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 17.178190459518813 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) | |
| accuracy | 0.0 | (*.f64 l h) | |
| accuracy | 0.12890625 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| accuracy | 4.888532836838047 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 17.178190459518813 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| accuracy | 1.6706211040295489 | (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) | |
| accuracy | 4.689387336598915 | (/.f64 (*.f64 D M) d) | |
| accuracy | 6.430176195003632 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.680042067499334 | (sqrt.f64 (/.f64 h d)) |
| 147.0ms | 110× | 0 | invalid |
| 127.0ms | 146× | 0 | valid |
Compiled 1 254 to 158 computations (87.4% saved)
ival-sqrt: 73.0ms (41.5% of total)ival-mult: 48.0ms (27.3% of total)ival-div: 29.0ms (16.5% of total)ival-pow: 16.0ms (9.1% of total)ival-sub: 5.0ms (2.8% of total)ival-pow2: 3.0ms (1.7% of total)ival-neg: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (/.f64 h d)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 D M) d) |
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(sqrt.f64 (*.f64 l h)) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 l h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
| Outputs |
|---|
(sqrt (/ h d)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ d h)) |
(* -1 (* d (sqrt (/ 1 h)))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/4 (/ (* D M) d)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(* h l) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(* 1/2 (/ (* D M) l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | D | @ | inf | ((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D)))))) |
| 20.0ms | h | @ | -inf | ((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D)))))) |
| 8.0ms | d | @ | inf | ((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D)))))) |
| 6.0ms | d | @ | -inf | ((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D)))))) |
| 6.0ms | d | @ | 0 | ((sqrt (/ h d)) (pow (/ d l) (/ 1 2)) (/ (* D M) d) (* (* (/ (* D M) d) 1/2) h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* l h)) (/ d (sqrt (* l h))) (* l h) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d h)) (/ (* (sqrt (/ d h)) (neg (sqrt d))) (neg (sqrt l))) (* (sqrt (/ d h)) (neg (sqrt d))) (* M (/ h l)) (* (* (/ D d) 1/2) (* M (/ h l))) (* (* (/ (sqrt d) (sqrt h)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (* (/ D d) 1/2) (* M (/ h l))) (* (* 1/2 (* D 1/2)) (/ M d))))) (* (* 1/2 (* D 1/2)) (/ M d)) (pow (/ h d) -1/2) (* (/ (* (* M 1/2) D) l) (/ h d)) (/ (* (* M 1/2) D) l) (* (* (pow (/ h d) -1/2) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ (* (* M 1/2) D) l) (/ h d)) (* (/ M d) (* 1/4 D)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 592 |
| 0 | 430 | 581 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(sqrt (/ h d)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ d h)) |
(* -1 (* d (sqrt (/ 1 h)))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* 1/4 (/ (* D M) d)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(* h l) |
(/ (* M h) l) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(* 1/2 (/ (* D M) l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
| Outputs |
|---|
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/2 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* d (sqrt (/ 1 h)))) |
(neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M h) D) d) l) #s(literal 1/2 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M D) d)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h d))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(* h l) |
(*.f64 l h) |
(/ (* M h) l) |
(*.f64 M (/.f64 h l)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 h d)))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 M M)) (*.f64 D D)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d)))) h)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d h))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 h)))) |
(neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))) h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(* 1/2 (/ (* D M) l)) |
(*.f64 (/.f64 (*.f64 M D) l) #s(literal 1/2 binary64)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 d l))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 254 |
| 0 | 121 | 234 |
| 1 | 388 | 205 |
| 2 | 3098 | 205 |
| 0 | 8340 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 h d)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 D M) d) |
(*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(sqrt.f64 (*.f64 l h)) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(*.f64 l h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) |
(*.f64 M (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 h))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h d))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 h) (pow.f64 d #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) (neg.f64 (sqrt.f64 (neg.f64 d)))) |
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 d h)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 h))) (neg.f64 (neg.f64 (sqrt.f64 d)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) |
(/.f64 (pow.f64 d #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 d h)))) |
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d))) |
(/.f64 (sqrt.f64 h) (sqrt.f64 d)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 h d)) |
(fabs.f64 (sqrt.f64 (/.f64 h d))) |
(exp.f64 (-.f64 (*.f64 (log.f64 h) #s(literal 1/2 binary64)) (*.f64 (log.f64 d) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 d h))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 l #s(literal -1/2 binary64))) (sqrt.f64 d)) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))) |
(*.f64 (sqrt.f64 d) (fabs.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)))) |
(*.f64 (sqrt.f64 d) (fabs.f64 (pow.f64 l #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l))) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (neg.f64 (sqrt.f64 l))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 l))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 l))) (*.f64 (neg.f64 (sqrt.f64 l)) (sqrt.f64 d))) l) |
(/.f64 (fabs.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64))) (sqrt.f64 l)) |
(/.f64 (fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 d)))) (sqrt.f64 l)) |
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (fabs.f64 (sqrt.f64 (neg.f64 d))) (fabs.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d)))) |
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(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 l)) (sqrt.f64 d)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 l (/.f64 d h))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 d)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 (/.f64 d h) l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 d (sqrt.f64 h)) (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (sqrt.f64 h))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (neg.f64 (/.f64 d (sqrt.f64 h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 h) d) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (neg.f64 d) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (neg.f64 (/.f64 d (sqrt.f64 h))) (/.f64 #s(literal -1 binary64) (sqrt.f64 l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 d (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (pow.f64 (*.f64 l (/.f64 h d)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(+.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(+.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 33 546 to 3 410 computations (89.8% saved)
52 alts after pruning (50 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 777 | 25 | 802 |
| Fresh | 17 | 25 | 42 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 798 | 52 | 850 |
| Status | Accuracy | Program |
|---|---|---|
| 48.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) | |
| 48.0% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h))) | |
| 5.5% | (/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) | |
| 46.8% | (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 66.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 67.5% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 57.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 M h) d)) (*.f64 D D)) l) #s(literal 1/8 binary64))))) | |
| 42.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) (*.f64 M h)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))))) | |
| 35.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 48.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 53.8% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 48.8% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) | |
| 49.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) | |
| 35.6% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 69.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 33.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 33.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 73.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 41.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) | |
| 34.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) | |
| 39.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 29.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) | |
| 26.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) | |
| 24.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) | |
| 42.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) | |
| 41.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) | |
| 29.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) | |
| 20.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) | |
| 30.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 30.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 30.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) | |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) | |
| 34.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) | |
| 3.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 30.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 18.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 30.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) | |
| 41.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 30.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 28.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d)) | |
| 24.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) | |
| 24.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) | |
| 29.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 34.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) | |
| 31.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) | |
| 31.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) | |
| 28.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) | |
| 34.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 45.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 7 245 to 2 094 computations (71.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
(/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) d)) l) h))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) d) h)) (neg.f64 l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 D d) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) d) M) D) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) l) (/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 h)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 l) (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.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 (*.f64 (*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
7 calls:
| 82.0ms | d |
| 68.0ms | (*.f64 M D) |
| 51.0ms | l |
| 37.0ms | M |
| 36.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 2 | d |
| 89.4% | 2 | h |
| 89.4% | 2 | l |
| 73.5% | 1 | M |
| 73.5% | 1 | D |
| 82.3% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 73.5% | 1 | (*.f64 M D) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 l h))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
(/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 l (*.f64 (/.f64 d h) d)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 d (/.f64 d h)))) (sqrt.f64 l)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 M M) (*.f64 D D))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (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 1/8 binary64))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) l) (/.f64 h d)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 h l) M))) d))) |
(-.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 M d) D) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 l h))))) d)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 h d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
3 calls:
| 49.0ms | h |
| 32.0ms | l |
| 19.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | d |
| 87.2% | 2 | h |
| 87.2% | 2 | l |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
3 calls:
| 43.0ms | d |
| 11.0ms | h |
| 11.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 2 | d |
| 85.0% | 2 | l |
| 85.0% | 2 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
3 calls:
| 39.0ms | d |
| 11.0ms | h |
| 11.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | d |
| 81.2% | 2 | l |
| 83.1% | 3 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
2 calls:
| 10.0ms | h |
| 10.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 2 | l |
| 80.9% | 2 | h |
Compiled 2 to 10 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 42.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 34.0ms | l |
| 10.0ms | d |
| 10.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 1 | d |
| 79.0% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 77.1% | 3 | h |
| 77.5% | 2 | l |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
7 calls:
| 50.0ms | d |
| 32.0ms | (*.f64 M D) |
| 26.0ms | l |
| 10.0ms | h |
| 10.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 2 | D |
| 62.8% | 3 | d |
| 56.8% | 2 | M |
| 58.2% | 2 | (*.f64 M D) |
| 62.7% | 2 | h |
| 65.6% | 4 | l |
| 69.0% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
7 calls:
| 99.0ms | h |
| 42.0ms | d |
| 15.0ms | D |
| 9.0ms | l |
| 9.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.8% | 1 | D |
| 45.8% | 1 | M |
| 45.8% | 1 | (*.f64 M D) |
| 51.4% | 3 | d |
| 51.3% | 3 | l |
| 51.0% | 3 | h |
| 53.6% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 d))) (*.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 h)))) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (pow.f64 (*.f64 (/.f64 l d) (/.f64 h d)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 d (sqrt.f64 l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 18.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (neg.f64 (sqrt.f64 d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 (sqrt.f64 d)) (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 #s(literal -1 binary64) (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 d))) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 d)) (sqrt.f64 l)))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) 1/2) (* 4 (pow (* (* M d) D) 2))) 1) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 D D)) (*.f64 (*.f64 (*.f64 d d) h) (*.f64 M M))) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d l) d)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) (/.f64 h d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (* (sqrt (/ d h)) (neg (sqrt d))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) d))) (neg.f64 (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (/.f64 d (sqrt.f64 h))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d l)) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
4 calls:
| 27.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 4.0ms | d |
| 4.0ms | h |
| 4.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.4% | 2 | h |
| 49.4% | 2 | l |
| 49.4% | 2 | d |
| 50.9% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 2.0ms | l |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 2.0ms | h |
| 2.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 45.8% | 1 | d |
| 45.8% | 1 | l |
| 45.8% | 1 | h |
Compiled 38 to 37 computations (2.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
7 calls:
| 24.0ms | (*.f64 M D) |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | d |
| 1.0ms | h |
| 1.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.8% | 1 | l |
| 30.8% | 1 | M |
| 30.8% | 1 | d |
| 30.8% | 1 | (*.f64 M D) |
| 30.8% | 1 | D |
| 30.8% | 1 | h |
| 30.8% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | -1.6952055001570504e-306 | 2.7378155499075997e-307 |
| 22.0ms | 131× | 0 | invalid |
| 22.0ms | 128× | 0 | valid |
Compiled 630 to 478 computations (24.1% saved)
ival-mult: 10.0ms (28.9% of total)ival-div: 9.0ms (26% of total)ival-pow: 8.0ms (23.1% of total)ival-pow2: 6.0ms (17.3% of total)ival-sub: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 69.0ms | -3.82291461410308e-303 | 2.1510174907490617e-305 |
| 32.0ms | 175× | 0 | invalid |
| 26.0ms | 144× | 0 | valid |
Compiled 695 to 525 computations (24.5% saved)
ival-div: 17.0ms (36.6% of total)ival-pow: 13.0ms (28% of total)ival-mult: 10.0ms (21.5% of total)ival-pow2: 3.0ms (6.5% of total)ival-sub: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -3.82291461410308e-303 | 2.1510174907490617e-305 |
Compiled 668 to 498 computations (25.4% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 9.423089290011037e+141 | 4.4648781365021495e+143 |
| 47.0ms | 7.053767882727868e-294 | 1.6172890225391828e-291 |
| 30.0ms | 128× | 0 | valid |
| 15.0ms | 92× | 0 | invalid |
Compiled 582 to 446 computations (23.4% saved)
ival-pow: 17.0ms (47.7% of total)ival-div: 7.0ms (19.6% of total)ival-mult: 7.0ms (19.6% of total)ival-pow2: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 1.1738314975749913e-217 | 8.395116438355098e-208 |
| 28.0ms | 160× | 0 | valid |
| 16.0ms | 110× | 0 | invalid |
Compiled 738 to 550 computations (25.5% saved)
ival-div: 11.0ms (33.5% of total)ival-mult: 9.0ms (27.4% of total)ival-pow: 9.0ms (27.4% of total)ival-pow2: 3.0ms (9.1% of total)ival-sub: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
| 0.0ms | -1.1583989573834536e-110 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9344491398687774e+274 | 2.4654465970545854e+282 |
| 0.0ms | 0.0 | 3.308922406142622e-237 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 5.453182445859837e-298 | 7.053767882727868e-294 |
| 25.0ms | 110× | 0 | invalid |
| 20.0ms | 128× | 0 | valid |
Compiled 694 to 494 computations (28.8% saved)
ival-mult: 13.0ms (35.7% of total)ival-div: 8.0ms (22% of total)ival-pow: 8.0ms (22% of total)ival-pow2: 4.0ms (11% of total)ival-sub: 3.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.725931325498041e-26 | -9.72327623745798e-43 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1963 |
| 1 | 257 | 1963 |
| 2 | 344 | 1963 |
| 3 | 536 | 1963 |
| 4 | 888 | 1963 |
| 5 | 1333 | 1963 |
| 6 | 1607 | 1963 |
| 7 | 1766 | 1963 |
| 8 | 1920 | 1963 |
| 9 | 2074 | 1963 |
| 10 | 2185 | 1963 |
| 11 | 2233 | 1963 |
| 12 | 2262 | 1963 |
| 13 | 2328 | 1963 |
| 14 | 2398 | 1963 |
| 15 | 2491 | 1963 |
| 16 | 2573 | 1963 |
| 17 | 2650 | 1963 |
| 18 | 2713 | 1963 |
| 19 | 2791 | 1963 |
| 20 | 2892 | 1963 |
| 21 | 2973 | 1963 |
| 22 | 3037 | 1963 |
| 23 | 3095 | 1963 |
| 24 | 3129 | 1963 |
| 25 | 3143 | 1963 |
| 26 | 3165 | 1963 |
| 27 | 3181 | 1963 |
| 28 | 3211 | 1963 |
| 29 | 3226 | 1963 |
| 30 | 3230 | 1963 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 h #s(literal 2588678114201735/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (if (<=.f64 h #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))))) |
(if (<=.f64 l #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -3384606560206073/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal -1/2 binary64))) d)) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (*.f64 (*.f64 l h) (*.f64 l h)) #s(literal 1/4 binary64)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 19999999999999998427565756888352682973425438326516414058699593209346147537472721377488423248782676284346531436850217802369480956001624091822467583003390346899419842779564435258471158259405585390019332702900005712830616180641768933148719519610965433140458319354760048446275584 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 h #s(literal 809968618843565/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 M D) d)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
(if (<=.f64 h #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))))))) |
(if (<=.f64 h #s(literal 2588678114201735/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (if (<=.f64 h #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))))) |
(if (<=.f64 h #s(literal 2588678114201735/359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278948248755535786849730970552604439202492188238906165904170011537676301364684925762947826221081654474326701021369172596479894491876959432609670712659248448274432 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h) l) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64)))))) (if (<=.f64 h #s(literal 10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 M d)) (*.f64 (*.f64 (/.f64 h l) M) (*.f64 (/.f64 D d) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 d l)) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h)))))) |
(if (<=.f64 l #s(literal 5448595599810227/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) h) (*.f64 l d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)))))) |
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(if (<=.f64 h #s(literal 809968618843565/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 h #s(literal 809968618843565/1472670216079209191611846812294369061779846741149537544383939224844146080198663889983147846225162535085015972903906454385940805786127700971461406151798572026902674582936498055383467782973408003026559655543480367258322130389749455925034296201550456726842167383528130955181647838728025835969211239052281644132073472 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 h l))) (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -1742245718635205/87112285931760246646623899502532662132736 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 518 |
| 0 | 409 | 508 |
| 0 | 75 | 254 |
| 0 | 121 | 234 |
| 1 | 388 | 205 |
| 2 | 3098 | 205 |
| 0 | 8340 | 201 |
| 0 | 76 | 217 |
| 0 | 127 | 214 |
| 1 | 359 | 193 |
| 2 | 2317 | 187 |
| 0 | 8501 | 183 |
| 0 | 19 | 32 |
| 0 | 32 | 30 |
| 1 | 97 | 30 |
| 2 | 552 | 28 |
| 3 | 5898 | 28 |
| 0 | 8031 | 28 |
| 0 | 47 | 128 |
| 0 | 86 | 125 |
| 1 | 270 | 124 |
| 2 | 1755 | 118 |
| 0 | 8654 | 117 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
Compiled 7 815 to 2 829 computations (63.8% saved)
Compiled 5 124 to 844 computations (83.5% saved)
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