
Time bar (total: 7.2s)
| 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 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 745.0ms | 8 256× | 0 | valid |
ival-mult: 319.0ms (70.4% of total)ival-add: 72.0ms (15.9% of total)ival-div: 53.0ms (11.7% of total)ival-true: 6.0ms (1.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 101 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 46 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 57 | |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 100 | |
| ↳ | (*.f64 c c) | overflow | 58 | |
| ↳ | (*.f64 d d) | overflow | 63 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 32 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 100 | |
| ↳ | (*.f64 c c) | overflow | 58 | |
| ↳ | (*.f64 d d) | overflow | 63 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 11 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 57 | |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 32 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 6 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 66 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 6 | |
| ↳ | (*.f64 a c) | underflow | 34 | |
| ↳ | (*.f64 b d) | underflow | 28 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 66 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 3 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 6 | |
| ↳ | (*.f64 a c) | underflow | 34 | |
| ↳ | (*.f64 b d) | underflow | 28 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 a c) | overflow | 31 | |
| ↳ | (*.f64 b d) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 101 | 0 |
| - | 0 | 155 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 101 | 0 | 0 |
| - | 0 | 0 | 155 |
| number | freq |
|---|---|
| 0 | 155 |
| 1 | 99 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 45.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 19.0ms (69.8% of total)ival-add: 4.0ms (14.7% of total)ival-div: 3.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 210 |
| 2 | 487 | 210 |
| 3 | 889 | 210 |
| 4 | 1487 | 210 |
| 5 | 1833 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 38 | 15 |
| 2 | 100 | 15 |
| 3 | 198 | 15 |
| 4 | 310 | 15 |
| 5 | 435 | 15 |
| 6 | 441 | 15 |
| 0 | 441 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.1% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 1 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 1 | (+.f64 (*.f64 a c) (*.f64 b d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 38 | 45 |
| 2 | 100 | 45 |
| 3 | 198 | 45 |
| 4 | 310 | 45 |
| 5 | 435 | 45 |
| 6 | 441 | 45 |
| 0 | 441 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 b d) | |
| accuracy | 0.0 | (*.f64 a c) | |
| accuracy | 0.46093543583020585 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 24.091960735657583 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 19.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (58% of total)ival-add: 2.0ms (19.3% of total)ival-div: 1.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
| Outputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | c | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 2.0ms | d | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 2.0ms | b | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 1.0ms | a | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 1.0ms | a | @ | 0 | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 623 |
| 1 | 667 | 571 |
| 2 | 2422 | 547 |
| 3 | 7277 | 547 |
| 0 | 8281 | 503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* c (+ a (/ (* b d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
| Outputs |
|---|
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c))) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 a)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) (neg.f64 b)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 69 | 35 |
| 2 | 592 | 35 |
| 0 | 9029 | 31 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
(*.f64 b d) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (*.f64 (neg.f64 c) a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 c) a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 c) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 9 binary64)) (pow.f64 (*.f64 d b) #s(literal 9 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) c) a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 (neg.f64 c) a (*.f64 d b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (neg.f64 (fma.f64 (neg.f64 c) a (*.f64 d b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)))) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a)) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 b) d)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (-.f64 (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a))) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(fma.f64 d b (*.f64 (neg.f64 (neg.f64 a)) c)) |
(fma.f64 d b (neg.f64 (*.f64 (neg.f64 c) a))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 (neg.f64 (neg.f64 a)) c)) |
(fma.f64 b d (neg.f64 (*.f64 (neg.f64 c) a))) |
(fma.f64 b d (*.f64 c a)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))) (/.f64 (pow.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (neg.f64 c) c (*.f64 d d)))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (/.f64 (*.f64 d b) (-.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 b) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(*.f64 c a) |
(*.f64 a c) |
(*.f64 d b) |
(*.f64 b d) |
(neg.f64 (*.f64 (neg.f64 b) d)) |
Compiled 12 665 to 1 026 computations (91.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 336 | 16 | 352 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 337 | 16 | 353 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.4% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
| ▶ | 62.1% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| 62.1% | (/.f64 (fma.f64 c a (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 18.0% | (/.f64 (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))) | |
| 38.7% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 34.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 51.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) | |
| 44.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) | |
| 49.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| ▶ | 57.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 46.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)) | |
| ▶ | 38.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
| 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 38.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 38.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) | |
| 39.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
Compiled 860 to 502 computations (41.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) | |
| cost-diff | 2 | (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) | |
| cost-diff | 2 | (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | (fma.f64 d b (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (/.f64 a d) | |
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 7 | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 338 |
| 0 | 67 | 325 |
| 1 | 127 | 325 |
| 2 | 288 | 318 |
| 3 | 950 | 318 |
| 4 | 5273 | 313 |
| 0 | 9161 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
a |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) |
a |
(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c) |
(fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(neg.f64 b) |
b |
d |
(/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) |
(fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) |
(*.f64 d d) |
(/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
| Outputs |
|---|
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
a |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (*.f64 (/.f64 d c) (fma.f64 d (/.f64 (fma.f64 (/.f64 b c) d a) c) (neg.f64 b)))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(/.f64 (-.f64 a (*.f64 (/.f64 d c) (fma.f64 d (/.f64 (fma.f64 (/.f64 b c) d a) c) (neg.f64 b)))) c) |
(-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) |
(-.f64 a (*.f64 (/.f64 d c) (fma.f64 d (/.f64 (fma.f64 (/.f64 b c) d a) c) (neg.f64 b)))) |
a |
(/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c) |
(*.f64 (/.f64 d c) (fma.f64 d (/.f64 (fma.f64 (/.f64 b c) d a) c) (neg.f64 b))) |
(fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(*.f64 d (fma.f64 d (/.f64 (fma.f64 (/.f64 b c) d a) c) (neg.f64 b))) |
(neg.f64 b) |
b |
d |
(/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) |
(*.f64 (/.f64 d c) (*.f64 d (fma.f64 (/.f64 b c) d a))) |
(fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) |
(*.f64 (*.f64 d (fma.f64 (/.f64 b c) d a)) d) |
(*.f64 d d) |
(/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
(pow.f64 d #s(literal 3 binary64)) |
#s(literal 3 binary64) |
c |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.468826184517985 | (*.f64 (pow.f64 d #s(literal 3 binary64)) b) | |
| accuracy | 7.682890213598556 | (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) | |
| accuracy | 8.470445365953209 | (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) | |
| accuracy | 35.38578687636764 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) | |
| accuracy | 0.0 | (*.f64 c c) | |
| accuracy | 0.0 | (*.f64 c a) | |
| accuracy | 0.01171875 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 24.091960735657583 | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 0.0 | (/.f64 a d) | |
| accuracy | 0.513909752523205 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 4.8999191016332055 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 25.9458961308976 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| accuracy | 0.0 | (/.f64 a c) | |
| accuracy | 39.41400879665927 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 1.8723836469404087 | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 6.035571393662705 | (/.f64 b (fma.f64 d d (*.f64 c c))) | |
| accuracy | 12.432296498124938 | (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 17.608511083044373 | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| 70.0ms | 256× | 0 | valid |
Compiled 325 to 41 computations (87.4% saved)
ival-mult: 18.0ms (35.5% of total)ival-div: 17.0ms (33.5% of total)ival-add: 9.0ms (17.8% of total)ival-pow: 4.0ms (7.9% of total)ival-sub: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
(fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) |
(+ (* -1 (* b d)) (+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2)))) |
(/ (* b (pow d 3)) c) |
(+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) |
(* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) (* a (- (/ 1 c) (/ (pow d 2) (pow c 3))))) |
(/ (* b (pow d 3)) (pow c 2)) |
(+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a (pow d 2)) c) |
(* a (+ (* -1 (/ (* b d) a)) (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c)))) |
(* a (pow d 2)) |
(* a (+ (/ (* b (pow d 3)) (* a c)) (pow d 2))) |
(/ (* a (- 1 (/ (pow d 2) (pow c 2)))) c) |
(* a (- (+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) (* a c))) (/ 1 c)) (/ (pow d 2) (pow c 3)))) |
(* a (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a c))) (* -1 (pow d 2))))) |
(/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a (pow c 2)))) (+ (* -1 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)) (/ (* b (pow d 3)) (* a (pow c 4))))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (* -1 (/ (pow d 2) c))))) |
(+ (* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) (/ (* a (pow d 2)) c)) |
(/ (- a (/ (* a (pow d 2)) (pow c 2))) c) |
(- (+ (* -1 (/ (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3)))) c)) (/ a c)) (/ (* a (pow d 2)) (pow c 3))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* b (pow d 3)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) |
(* b (+ (* -1 d) (+ (/ (* a (pow d 2)) (* b c)) (/ (pow d 3) (pow c 2))))) |
(* b (+ (/ (* a (pow d 2)) b) (/ (pow d 3) c))) |
(* -1 (/ (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3)))) c)) |
(* b (- (+ (* -1 (/ (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3))) c)) (/ a (* b c))) (/ (* a (pow d 2)) (* b (pow c 3))))) |
(* b (+ (/ (* a (pow d 2)) (* b c)) (/ (pow d 3) (pow c 2)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ d (* -1 (/ (pow d 3) (pow c 2)))))) |
(* -1 (* b (+ d (+ (* -1 (/ (* a (pow d 2)) (* b c))) (* -1 (/ (pow d 3) (pow c 2))))))) |
(* -1 (* b (+ (* -1 (/ (* a (pow d 2)) b)) (* -1 (/ (pow d 3) c))))) |
(/ (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))) c) |
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)) c)) (* -1 (/ (- (/ a c) (/ (* a (pow d 2)) (pow c 3))) b))))) |
(* -1 (* b (+ (* -1 (/ (* a (pow d 2)) (* b c))) (* -1 (/ (pow d 3) (pow c 2)))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(/ (+ (* a (* c (pow d 2))) (* b (pow d 3))) (pow c 2)) |
(/ (+ (* b (pow d 3)) (* c (+ (* -1 (* b (* c d))) (* a (pow d 2))))) (pow c 2)) |
(/ (+ (* a (* c (pow d 2))) (* b (pow d 3))) c) |
(* -1 (/ (* b (pow d 3)) (pow c 4))) |
(/ (+ (* -1 (* a (* c (pow d 2)))) (* -1 (* b (pow d 3)))) (pow c 4)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* b (* c d))))) (pow c 4)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))))) (pow c 4)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(* -1 (* b d)) |
(+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) c) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) |
(* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(* d (+ (* -1 b) (/ (* a d) c))) |
(* d (+ (* -1 b) (* d (+ (/ a c) (/ (* b d) (pow c 2)))))) |
(* (pow d 2) (+ a (/ (* b d) c))) |
(+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(* (pow d 2) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 3) (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* (pow d 3) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* (pow d 3) (+ (/ a d) (/ b c))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (* -1 (/ b (pow c 4))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (/ b (* (pow c 2) (pow d 2)))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (+ (/ a (* c (pow d 3))) (/ b (* (pow c 2) (pow d 2))))))) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ b (pow c 2))) (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) d))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 3) d)) (/ b (pow c 4))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))) d)) (/ b (pow c 4))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))) d)) (/ b (pow c 4))))) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 86.0ms | a | @ | 0 | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) (+ (* (* d d) a) (/ (* (pow d 3) b) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c) (* (pow d 3) b)) |
| 10.0ms | c | @ | inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) (+ (* (* d d) a) (/ (* (pow d 3) b) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c) (* (pow d 3) b)) |
| 8.0ms | a | @ | -inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) (+ (* (* d d) a) (/ (* (pow d 3) b) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c) (* (pow d 3) b)) |
| 5.0ms | b | @ | -inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) (+ (* (* d d) a) (/ (* (pow d 3) b) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c) (* (pow d 3) b)) |
| 5.0ms | b | @ | 0 | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (* c a) (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) (+ (* (* d d) a) (/ (* (pow d 3) b) c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (* d (/ b (+ (* d d) (* c c)))) (/ b (+ (* d d) (* c c))) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c) (* (pow d 3) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 3248 |
| 1 | 2433 | 3005 |
| 0 | 8857 | 2885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ a d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) |
(+ (* -1 (* b d)) (+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2)))) |
(/ (* b (pow d 3)) c) |
(+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) |
(* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) (* a (- (/ 1 c) (/ (pow d 2) (pow c 3))))) |
(/ (* b (pow d 3)) (pow c 2)) |
(+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a (pow d 2)) c) |
(* a (+ (* -1 (/ (* b d) a)) (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c)))) |
(* a (pow d 2)) |
(* a (+ (/ (* b (pow d 3)) (* a c)) (pow d 2))) |
(/ (* a (- 1 (/ (pow d 2) (pow c 2)))) c) |
(* a (- (+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) (* a c))) (/ 1 c)) (/ (pow d 2) (pow c 3)))) |
(* a (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a c))) (* -1 (pow d 2))))) |
(/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a (pow c 2)))) (+ (* -1 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)) (/ (* b (pow d 3)) (* a (pow c 4))))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (* -1 (/ (pow d 2) c))))) |
(+ (* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) (/ (* a (pow d 2)) c)) |
(/ (- a (/ (* a (pow d 2)) (pow c 2))) c) |
(- (+ (* -1 (/ (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3)))) c)) (/ a c)) (/ (* a (pow d 2)) (pow c 3))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* b (pow d 3)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) |
(* b (+ (* -1 d) (+ (/ (* a (pow d 2)) (* b c)) (/ (pow d 3) (pow c 2))))) |
(* b (+ (/ (* a (pow d 2)) b) (/ (pow d 3) c))) |
(* -1 (/ (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3)))) c)) |
(* b (- (+ (* -1 (/ (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3))) c)) (/ a (* b c))) (/ (* a (pow d 2)) (* b (pow c 3))))) |
(* b (+ (/ (* a (pow d 2)) (* b c)) (/ (pow d 3) (pow c 2)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ d (* -1 (/ (pow d 3) (pow c 2)))))) |
(* -1 (* b (+ d (+ (* -1 (/ (* a (pow d 2)) (* b c))) (* -1 (/ (pow d 3) (pow c 2))))))) |
(* -1 (* b (+ (* -1 (/ (* a (pow d 2)) b)) (* -1 (/ (pow d 3) c))))) |
(/ (* b (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c))) c) |
(* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (pow d 3) (pow c 3))) (/ d c)) c)) (* -1 (/ (- (/ a c) (/ (* a (pow d 2)) (pow c 3))) b))))) |
(* -1 (* b (+ (* -1 (/ (* a (pow d 2)) (* b c))) (* -1 (/ (pow d 3) (pow c 2)))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(/ (+ (* a (* c (pow d 2))) (* b (pow d 3))) (pow c 2)) |
(/ (+ (* b (pow d 3)) (* c (+ (* -1 (* b (* c d))) (* a (pow d 2))))) (pow c 2)) |
(/ (+ (* a (* c (pow d 2))) (* b (pow d 3))) c) |
(* -1 (/ (* b (pow d 3)) (pow c 4))) |
(/ (+ (* -1 (* a (* c (pow d 2)))) (* -1 (* b (pow d 3)))) (pow c 4)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* b (* c d))))) (pow c 4)) |
(/ (+ (* -1 (* b (pow d 3))) (* c (+ (* -1 (* a (pow d 2))) (* c (+ (* a c) (* b d)))))) (pow c 4)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(* -1 (* b d)) |
(+ (* -1 (* b d)) (/ (* a (pow d 2)) c)) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c)))) c) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (* -1 (* b d)) (* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c))) |
(* -1 (/ (+ (* -1 (* a (pow d 2))) (* -1 (/ (* b (pow d 3)) c))) c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(* d (+ (* -1 b) (/ (* a d) c))) |
(* d (+ (* -1 b) (* d (+ (/ a c) (/ (* b d) (pow c 2)))))) |
(* (pow d 2) (+ a (/ (* b d) c))) |
(+ (* d (+ (* d (+ (* -1 (/ a (pow c 3))) (* -1 (/ (* b d) (pow c 4))))) (/ b (pow c 2)))) (/ a c)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(* (pow d 2) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 3) (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* (pow d 3) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* (pow d 3) (+ (/ a d) (/ b c))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (* -1 (/ b (pow c 4))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (/ b (* (pow c 2) (pow d 2)))))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (+ (/ a (* c (pow d 3))) (/ b (* (pow c 2) (pow d 2))))))) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ b (pow c 2))) (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) d))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 3) d)) (/ b (pow c 4))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))) d)) (/ b (pow c 4))))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))) d)) (/ b (pow c 4))))) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/ a c) |
(/.f64 a c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ a d) |
(/.f64 a d) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) |
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (neg.f64 d)) b) |
(+ (* -1 (* b d)) (+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) d (neg.f64 b)) d) |
(/ (* b (pow d 3)) c) |
(/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) |
(+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) b a) d) d) |
(* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) |
(*.f64 (neg.f64 b) (/.f64 (fma.f64 (/.f64 d c) #s(literal -1 binary64) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)) |
(+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) c)) (* a (- (/ 1 c) (/ (pow d 2) (pow c 3))))) |
(-.f64 (/.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 d c) #s(literal -1 binary64) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a) c) (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 3 binary64)))) |
(/ (* b (pow d 3)) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) (pow.f64 d #s(literal 3 binary64))) |
(+ (/ (* a (pow d 2)) c) (/ (* b (pow d 3)) (pow c 2))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) d) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)) a) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 b (/.f64 d a) c) a) |
(/ (* a (pow d 2)) c) |
(/.f64 (*.f64 (*.f64 d d) a) c) |
(* a (+ (* -1 (/ (* b d) a)) (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c)))) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (neg.f64 d)) b) a) (/.f64 (*.f64 d d) c)) a) |
(* a (pow d 2)) |
(*.f64 (*.f64 d d) a) |
(* a (+ (/ (* b (pow d 3)) (* a c)) (pow d 2))) |
(*.f64 (fma.f64 d d (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) a)) a) |
(/ (* a (- 1 (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)) a) c) |
(* a (- (+ (* -1 (/ (+ (* -1 (/ (* b d) c)) (/ (* b (pow d 3)) (pow c 3))) (* a c))) (/ 1 c)) (/ (pow d 2) (pow c 3)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 b (/.f64 (fma.f64 (/.f64 d c) #s(literal -1 binary64) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)) c)) a) |
(* a (+ (/ (* b (pow d 3)) (* a (pow c 2))) (/ (pow d 2) c))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 (/.f64 b c) c) (/.f64 (*.f64 d d) c)) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 a) (neg.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 b d) a)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a)))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 b (/.f64 d a) c))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (* b d)) (/ (* b (pow d 3)) (pow c 2))) a)) (* -1 (/ (pow d 2) c))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (-.f64 d (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c)) b) a) (/.f64 (*.f64 d d) c))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a c))) (* -1 (pow d 2))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 d d (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) a)))) |
(/ (* a (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)) a) c) |
(* -1 (* a (+ (* -1 (/ (* b d) (* a (pow c 2)))) (+ (* -1 (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c)) (/ (* b (pow d 3)) (* a (pow c 4))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (/.f64 b (neg.f64 c)) c) (/.f64 d a) (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)) (neg.f64 c))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 2)))) (* -1 (/ (pow d 2) c))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) a) (/.f64 (/.f64 b c) c) (/.f64 (*.f64 d d) c)))) |
(+ (* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) (/ (* a (pow d 2)) c)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) d (neg.f64 b)) d) |
(/ (- a (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d d) c) c)) a) c) |
(- (+ (* -1 (/ (* b (+ (* -1 (/ d c)) (/ (pow d 3) (pow c 3)))) c)) (/ a c)) (/ (* a (pow d 2)) (pow c 3))) |
(-.f64 (/.f64 (fma.f64 (neg.f64 b) (fma.f64 (/.f64 d c) #s(literal -1 binary64) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a) c) (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 c #s(literal 3 binary64)))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(* b (pow d 3)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 a (/.f64 c b) d) (fma.f64 d d (*.f64 c c))) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(fma.f64 (*.f64 b (/.f64 a b)) (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) b) b b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 a (/.f64 c b) d) b) |
(* b (+ (* -1 d) (/ (pow d 3) (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c) (neg.f64 d)) b) |
(* b (+ (* -1 d) (+ (/ (* a (pow d 2)) (* b c)) (/ (pow d 3) (pow c 2))))) |
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(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 b d) c) c)) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 b c) c)) d) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 4 binary64))) (/.f64 (/.f64 b c) c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) b) (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 b c) c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64))) (/.f64 b (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d)) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (*.f64 d d) (/.f64 (/.f64 b c) c)) |
(* (pow d 2) (+ (/ a c) (/ (* b d) (pow c 2)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (/.f64 d c) b a) c) d) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 b (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) d))) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) (*.f64 d d)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d))) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* (pow d 3) (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b d) (/.f64 a c)) d) (/.f64 (/.f64 b c) c)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (* -1 (/ b (pow c 4))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 a) (pow.f64 c #s(literal 3 binary64))) d) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (/ b (* (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 b c) c) d)) d)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow c 4))) (+ (/ a (* c (pow d 3))) (/ b (* (pow c 2) (pow d 2))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 b (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 a (*.f64 (pow.f64 d #s(literal 3 binary64)) c))) (/.f64 (fma.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 b c) c) d)) d)) (pow.f64 d #s(literal 3 binary64))) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(fma.f64 (*.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b d)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (+.f64 b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))))) (*.f64 d d)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 b (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))))) (*.f64 d d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* (pow d 3) (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ b (pow c 2))) (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) d))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b d) (/.f64 a c)) d) (/.f64 (/.f64 b c) c)))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d)))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (/ a (* (pow c 3) d)) (/ b (pow c 4))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 a) (pow.f64 c #s(literal 3 binary64))) d) (/.f64 b (pow.f64 c #s(literal 4 binary64)))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (/ b (* (pow c 2) d))) d)) (/ b (pow c 4))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 b c) c) d)) d) #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 (/ (+ (* -1 (/ a (pow c 3))) (* -1 (/ (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))) d))) d)) (/ b (pow c 4))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 a) (pow.f64 c #s(literal 3 binary64))) (/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c))) d)) d) #s(literal -1 binary64) (/.f64 b (pow.f64 c #s(literal 4 binary64))))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 b))) (neg.f64 d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 0 | 67 | 240 |
| 1 | 273 | 240 |
| 2 | 2101 | 240 |
| 0 | 9004 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
(fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 c a (*.f64 (neg.f64 b) d))) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 b) d)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 c a)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) (*.f64 (neg.f64 d) (/.f64 b (fma.f64 d d (*.f64 c c))))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b d (*.f64 c a))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b d)))) (neg.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c a)))) (neg.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c))) (pow.f64 (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) d)) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 d) (neg.f64 b)))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) a) (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 b) d))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c)))) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 d d) a)) c (*.f64 (neg.f64 c) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 d d) a)) (*.f64 c c) (*.f64 (neg.f64 c) (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) a) (neg.f64 c) (*.f64 c (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) a) (*.f64 (neg.f64 c) c) (*.f64 c (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (*.f64 c (*.f64 (neg.f64 c) c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) a) (*.f64 c c) (*.f64 c (*.f64 (pow.f64 d #s(literal 3 binary64)) b))) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 d d) a)) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d d) a) c) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(/.f64 (fma.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 (/.f64 a c) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d d) a) c) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 d d) a) c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) (pow.f64 d #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 d d) a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) a) c (*.f64 c (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) (*.f64 c c)) |
(/.f64 (pow.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) (pow.f64 d #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 d d) a) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 d d) a) (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) (neg.f64 c)) |
(/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) |
(fma.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 3/2 binary64))) (neg.f64 (neg.f64 c))) (/.f64 (pow.f64 d #s(literal 3/2 binary64)) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 3/2 binary64))) (neg.f64 c)) (/.f64 (pow.f64 d #s(literal 3/2 binary64)) (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b (pow.f64 d #s(literal 3/2 binary64))) c) (/.f64 (pow.f64 d #s(literal 3/2 binary64)) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b (*.f64 d d)) (neg.f64 (neg.f64 c))) (/.f64 d (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b (*.f64 d d)) (neg.f64 c)) (/.f64 d (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b (*.f64 d d)) c) (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3/2 binary64)) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (pow.f64 d #s(literal 3/2 binary64)) b) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3/2 binary64)) (neg.f64 c)) (/.f64 (*.f64 (pow.f64 d #s(literal 3/2 binary64)) b) (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3/2 binary64)) c) (/.f64 (*.f64 (pow.f64 d #s(literal 3/2 binary64)) b) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b d) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 d d) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 d d) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 b d) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 d d) (neg.f64 c)) (/.f64 (*.f64 b d) (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) (neg.f64 (neg.f64 c))) (/.f64 b (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 b (neg.f64 (neg.f64 c))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 d (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) b) (neg.f64 (neg.f64 c))) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 d (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) b) (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b d) (neg.f64 c)) (/.f64 (*.f64 d d) (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 d d) c) (/.f64 (*.f64 b d) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 b (neg.f64 c)) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 (neg.f64 b) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 b c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 d c) (/.f64 (*.f64 (*.f64 d d) b) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 (*.f64 d d) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (/.f64 b c) (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (pow.f64 d #s(literal 3 binary64)) (/.f64 (/.f64 b c) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(fma.f64 (*.f64 d d) (/.f64 a c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c)) |
(fma.f64 d (/.f64 (*.f64 d a) c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c)) |
(fma.f64 a (/.f64 (*.f64 d d) c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 d d) a) c) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 d d) a) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 d d) a) #s(literal 2 binary64)) (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c) (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) #s(literal 2 binary64)) (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c))) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) (/.f64 (*.f64 (*.f64 (neg.f64 d) d) a) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) (/.f64 (*.f64 (neg.f64 d) (*.f64 d a)) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) (/.f64 (*.f64 (neg.f64 a) (*.f64 d d)) c)) |
(-.f64 (/.f64 (*.f64 (*.f64 d d) a) c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c)) |
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c) (/.f64 (*.f64 (*.f64 d d) a) c)) |
(+.f64 (/.f64 (*.f64 (*.f64 d d) a) c) (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) c)) |
(*.f64 (*.f64 b (pow.f64 d #s(literal 3/2 binary64))) (pow.f64 d #s(literal 3/2 binary64))) |
(*.f64 (*.f64 b (*.f64 d d)) d) |
(*.f64 (pow.f64 d #s(literal 3/2 binary64)) (*.f64 (pow.f64 d #s(literal 3/2 binary64)) b)) |
(*.f64 (*.f64 b d) (*.f64 d d)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) (neg.f64 b)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) b) |
(*.f64 (*.f64 d d) (*.f64 b d)) |
(*.f64 (neg.f64 b) (pow.f64 d #s(literal 3 binary64))) |
(*.f64 b (pow.f64 d #s(literal 3 binary64))) |
(*.f64 d (*.f64 (*.f64 d d) b)) |
(neg.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b)) |
Compiled 34 153 to 3 731 computations (89.1% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 15 | 849 |
| Fresh | 8 | 3 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 845 | 20 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| 33.8% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d))))) | |
| 51.5% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) #s(approx (* d (/ b (+ (* d d) (* c c)))) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d)))) | |
| ✓ | 62.1% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| ▶ | 51.4% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
| 38.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| ▶ | 34.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 52.6% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) (fma.f64 d d (*.f64 c c))) | |
| 37.9% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) | |
| 51.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) | |
| ▶ | 59.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 18.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d))) | |
| ▶ | 25.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
| ▶ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 38.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 18.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (*.f64 b (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 d c)) c)))) | |
| 26.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) | |
| 50.9% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| 55.3% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) | |
| 40.7% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 42.9% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
Compiled 1 148 to 660 computations (42.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 d b (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) | |
| cost-diff | 4 | (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 1 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 a (/.f64 c d) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 283 |
| 0 | 58 | 275 |
| 1 | 116 | 275 |
| 2 | 263 | 275 |
| 3 | 642 | 275 |
| 4 | 1862 | 257 |
| 5 | 5308 | 257 |
| 0 | 8084 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(/.f64 c d) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 (/.f64 c d) a b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (/.f64 a d) c) |
(*.f64 c a) |
c |
a |
d |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 d b (*.f64 c a)) |
d |
b |
(*.f64 c a) |
c |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d)) |
#s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) |
(fma.f64 (/.f64 c d) c d) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(/.f64 c d) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) | |
| accuracy | 3.102144283894312 | (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) | |
| accuracy | 5.421934510803885 | (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) | |
| accuracy | 24.091960735657583 | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) | |
| accuracy | 0.0 | (*.f64 a c) | |
| accuracy | 0.46093543583020585 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 24.091960735657583 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 28.918521146945956 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0.513909752523205 | (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 7.959152530320092 | (/.f64 (*.f64 c a) d) | |
| accuracy | 25.9458961308976 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 29.334937154237977 | #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 0.0 | (/.f64 b d) | |
| accuracy | 38.20239574002224 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0.0 | (/.f64 c d) | |
| accuracy | 0.513909752523205 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| accuracy | 1.9529734631866045 | (fma.f64 a (/.f64 c d) b) | |
| accuracy | 25.9458961308976 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 92.0ms | 256× | 0 | valid |
Compiled 217 to 33 computations (84.8% saved)
ival-mult: 40.0ms (53.8% of total)ival-add: 22.0ms (29.6% of total)ival-div: 12.0ms (16.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
(/.f64 c d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 a c) |
(*.f64 b d) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
(fma.f64 d b (*.f64 c a)) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ c d) |
d |
(+ d (/ (pow c 2) d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
1 |
(+ 1 (/ (pow c 2) (pow d 2))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(/ (pow c 2) d) |
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (pow c 2) (pow d 2)) |
(* (pow c 2) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (pow c 2) (pow d 2)) d) |
(/ (+ (pow c 2) (pow d 2)) (pow d 2)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | d | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* (+ (* (/ c d) (/ c d)) 1) d) (* (* (+ (* (/ c d) (/ c d)) 1) d) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (+ (* c c) (* d d)) (+ (* (/ c d) (/ c d)) 1)) |
| 3.0ms | d | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* (+ (* (/ c d) (/ c d)) 1) d) (* (* (+ (* (/ c d) (/ c d)) 1) d) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (+ (* c c) (* d d)) (+ (* (/ c d) (/ c d)) 1)) |
| 2.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* (+ (* (/ c d) (/ c d)) 1) d) (* (* (+ (* (/ c d) (/ c d)) 1) d) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (+ (* c c) (* d d)) (+ (* (/ c d) (/ c d)) 1)) |
| 2.0ms | c | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* (+ (* (/ c d) (/ c d)) 1) d) (* (* (+ (* (/ c d) (/ c d)) 1) d) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (+ (* c c) (* d d)) (+ (* (/ c d) (/ c d)) 1)) |
| 2.0ms | d | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* a (/ c d)) b) d) (+ (* a (/ c d)) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ (* c a) d) (+ (* a c) (* b d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c) (* b d) (* (+ (* (/ c d) (/ c d)) 1) d) (* (* (+ (* (/ c d) (/ c d)) 1) d) d) (/ (+ (* d b) (* c a)) (+ (* d d) (* c c))) (+ (* d b) (* c a)) (+ (* c c) (* d d)) (+ (* (/ c d) (/ c d)) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 256 | 900 |
| 1 | 921 | 846 |
| 2 | 3282 | 812 |
| 0 | 8596 | 762 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* b d) |
(+ (* a c) (* b d)) |
(* a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ c d) |
d |
(+ d (/ (pow c 2) d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
1 |
(+ 1 (/ (pow c 2) (pow d 2))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ a (/ (* b d) c))) |
(/ (pow c 2) d) |
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (pow c 2) (pow d 2)) |
(* (pow c 2) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (pow c 2) (pow d 2)) d) |
(/ (+ (pow c 2) (pow d 2)) (pow d 2)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ (* a c) d) |
(*.f64 (/.f64 a d) c) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 b a) d c) a) (fma.f64 d d (*.f64 c c))) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 b a) d c) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 b a) d c) a) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (fma.f64 (/.f64 b a) d c) a) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(fma.f64 (*.f64 b (/.f64 a b)) (/.f64 c d) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) a d) (fma.f64 d d (*.f64 c c))) b) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (neg.f64 c) b) (/.f64 (/.f64 a d) d)) (/.f64 #s(literal 1 binary64) d))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 c) b) d) a) #s(literal 1 binary64))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 a)) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(/ c d) |
(/.f64 c d) |
d |
(+ d (/ (pow c 2) d)) |
(fma.f64 (/.f64 c d) c d) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (pow c 2) (pow d 2))) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d a) d) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (pow c 2) d) |
(*.f64 (/.f64 c d) c) |
(* (pow c 2) (+ (/ 1 d) (/ d (pow c 2)))) |
(*.f64 c (fma.f64 (/.f64 d (*.f64 c c)) c (/.f64 c d))) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(/ (pow c 2) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) c) |
(* (pow c 2) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d a) d) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d a) d) c)) c)) c) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) (neg.f64 b)) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ (* a c) (* b d)) d) |
(fma.f64 (/.f64 a d) c b) |
(/ (+ (pow c 2) (pow d 2)) d) |
(fma.f64 (/.f64 c d) c d) |
(/ (+ (pow c 2) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* d (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (* d (- (* -1 (/ (pow c 2) (pow d 2))) 1))) |
(*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 c (*.f64 d d))) #s(literal 1 binary64)) (neg.f64 d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 233 |
| 0 | 58 | 221 |
| 1 | 232 | 221 |
| 2 | 1605 | 221 |
| 0 | 8743 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
(/.f64 c d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 a c) |
(*.f64 b d) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
(fma.f64 d b (*.f64 c a)) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) (-.f64 (*.f64 (/.f64 a d) c) b)) (/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (+.f64 (pow.f64 (/.f64 b d) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (*.f64 (/.f64 b d) (/.f64 (*.f64 (/.f64 a d) c) d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (pow.f64 (/.f64 b d) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 3 binary64)) (pow.f64 (/.f64 b d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 a d) c) d) (/.f64 b d)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a d) c) (neg.f64 d) (*.f64 (neg.f64 b) d))) (*.f64 d d)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 a d) c) d (*.f64 d b))) (*.f64 (neg.f64 d) d)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 a d) c)) (neg.f64 (neg.f64 d)) (*.f64 (neg.f64 d) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 d) (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 a d) c)) (neg.f64 d) (*.f64 (neg.f64 d) (neg.f64 b))) (*.f64 d d)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 a d) c)) d (*.f64 (neg.f64 d) b)) (*.f64 (neg.f64 d) d)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 a) c) (neg.f64 (neg.f64 d)) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 a) c) (neg.f64 d) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 b))) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 d))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 a) c) d (*.f64 (*.f64 (neg.f64 d) d) b)) (*.f64 (*.f64 (neg.f64 d) d) d)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a d) c) (neg.f64 (neg.f64 d)) (*.f64 d (neg.f64 (neg.f64 b)))) (*.f64 d (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (*.f64 c a) (neg.f64 (neg.f64 d)) (*.f64 (*.f64 d d) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 d d) (neg.f64 (neg.f64 d)))) |
(/.f64 (fma.f64 (*.f64 c a) (neg.f64 d) (*.f64 (*.f64 d d) (neg.f64 b))) (pow.f64 d #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 c a) d (*.f64 (*.f64 d d) b)) (pow.f64 d #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 d) (*.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 (/.f64 a d) c)))) (*.f64 (neg.f64 (neg.f64 d)) (neg.f64 d))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 (neg.f64 d)) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 (neg.f64 d)) (*.f64 (neg.f64 d) d))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) d (*.f64 (neg.f64 (neg.f64 d)) (*.f64 (/.f64 a d) c))) (*.f64 (neg.f64 (neg.f64 d)) d)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 d d) (*.f64 (neg.f64 (neg.f64 d)) (*.f64 c a))) (*.f64 (neg.f64 (neg.f64 d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) (neg.f64 d) (*.f64 (neg.f64 d) (neg.f64 (*.f64 (/.f64 a d) c)))) (*.f64 d d)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 (neg.f64 d) d) (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) c))) (*.f64 (neg.f64 d) (*.f64 (neg.f64 d) d))) |
(/.f64 (fma.f64 (neg.f64 b) d (*.f64 (neg.f64 d) (*.f64 (/.f64 a d) c))) (*.f64 (neg.f64 d) d)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 d d) (*.f64 (neg.f64 d) (*.f64 c a))) (pow.f64 d #s(literal 3 binary64))) |
(/.f64 (fma.f64 b (neg.f64 d) (*.f64 d (neg.f64 (*.f64 (/.f64 a d) c)))) (*.f64 (neg.f64 d) d)) |
(/.f64 (fma.f64 b (*.f64 (neg.f64 d) d) (*.f64 d (*.f64 (neg.f64 a) c))) (*.f64 d (*.f64 (neg.f64 d) d))) |
(/.f64 (fma.f64 d b (*.f64 d (*.f64 (/.f64 a d) c))) (*.f64 d d)) |
(/.f64 (fma.f64 b (*.f64 d d) (*.f64 d (*.f64 c a))) (pow.f64 d #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (pow.f64 (/.f64 b d) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 3 binary64)) (pow.f64 (/.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 a d) c) d) (/.f64 b d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) a b))) (neg.f64 (neg.f64 d))) |
(/.f64 (fma.f64 (*.f64 (/.f64 a d) c) (neg.f64 d) (*.f64 (neg.f64 b) d)) (*.f64 (neg.f64 d) d)) |
(/.f64 (fma.f64 (*.f64 (/.f64 a d) c) d (*.f64 d b)) (*.f64 d d)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c d) a b) (neg.f64 d))) |
(fma.f64 (/.f64 c (neg.f64 (neg.f64 d))) (/.f64 a (neg.f64 (neg.f64 d))) (/.f64 b d)) |
(fma.f64 (/.f64 a (neg.f64 (neg.f64 d))) (/.f64 c (neg.f64 (neg.f64 d))) (/.f64 b d)) |
(fma.f64 (/.f64 (neg.f64 a) d) (/.f64 (neg.f64 c) d) (/.f64 b d)) |
(fma.f64 (/.f64 a (neg.f64 d)) (/.f64 (neg.f64 c) d) (/.f64 b d)) |
(fma.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 a) d) (/.f64 b d)) |
(fma.f64 (/.f64 (neg.f64 c) d) (/.f64 a (neg.f64 d)) (/.f64 b d)) |
(fma.f64 (/.f64 a d) (/.f64 c d) (/.f64 b d)) |
(fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) |
(fma.f64 c (/.f64 (/.f64 a d) d) (/.f64 b d)) |
(fma.f64 a (/.f64 (/.f64 c d) d) (/.f64 b d)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (/.f64 a d) c) d) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)) (/.f64 (pow.f64 (/.f64 b d) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d)) (/.f64 (*.f64 b b) (*.f64 (-.f64 (*.f64 (/.f64 a d) c) b) d))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 c)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 c)) a) (*.f64 (neg.f64 (neg.f64 c)) a)) (*.f64 (*.f64 d b) (*.f64 (neg.f64 (neg.f64 c)) a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 b)) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 b)) d) (*.f64 (neg.f64 (neg.f64 b)) d)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b)) d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b) d)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 d) b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 d b (*.f64 (neg.f64 a) c))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (*.f64 (neg.f64 a) c)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 d) b))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 c a (*.f64 (neg.f64 d) b)) (fma.f64 c a (*.f64 (neg.f64 d) b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 a) c))) (*.f64 (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (*.f64 (fma.f64 d b (*.f64 (neg.f64 a) c)) (fma.f64 d b (*.f64 (neg.f64 a) c)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 b) d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (*.f64 c a) (*.f64 (neg.f64 b) d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 d b) (*.f64 (neg.f64 a) c))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c a (*.f64 (neg.f64 d) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d b (*.f64 (neg.f64 a) c)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 c a (*.f64 (neg.f64 d) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d b (*.f64 (neg.f64 a) c))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) |
(fma.f64 d b (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 b d (*.f64 c a)) |
(fma.f64 c a (*.f64 (neg.f64 (neg.f64 b)) d)) |
(fma.f64 c a (*.f64 d b)) |
(fma.f64 a c (*.f64 (neg.f64 (neg.f64 b)) d)) |
(fma.f64 a c (*.f64 d b)) |
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(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 d) b))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 d) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 a) c))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 a) c)))) |
(-.f64 (*.f64 d b) (*.f64 (neg.f64 a) c)) |
(-.f64 (*.f64 c a) (*.f64 (neg.f64 d) b)) |
(-.f64 (*.f64 c a) (*.f64 (neg.f64 b) d)) |
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(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 (neg.f64 d) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) d) (*.f64 d b)) (fma.f64 c a (*.f64 (neg.f64 d) b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 d b (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (neg.f64 a) c) (*.f64 c a)) (fma.f64 d b (*.f64 (neg.f64 a) c)))) |
(+.f64 (*.f64 d b) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(+.f64 (*.f64 d b) (*.f64 c a)) |
(+.f64 (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b)) d)) |
(+.f64 (*.f64 c a) (*.f64 d b)) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 (neg.f64 c) d) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 c) d) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 c)) d) (/.f64 (neg.f64 (neg.f64 c)) d) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c (neg.f64 (neg.f64 d))) (/.f64 c (neg.f64 (neg.f64 d))) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (log.f64 (/.f64 c d))) (exp.f64 (log.f64 (/.f64 c d))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 c d) c) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 d))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 c d) c) (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 c) d) (*.f64 (/.f64 (neg.f64 c) d) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 c) d) (/.f64 (neg.f64 c) d) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 c) (/.f64 c (*.f64 (neg.f64 d) d)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c d) (fabs.f64 (*.f64 (/.f64 (neg.f64 c) d) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) |
(fma.f64 c (fabs.f64 (/.f64 (/.f64 c d) d)) #s(literal 1 binary64)) |
(fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) |
(fma.f64 c (/.f64 (/.f64 c d) d) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 c) d) (/.f64 c d))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) (/.f64 (neg.f64 c) d))) |
(+.f64 (/.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 c d) #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 c d) #s(literal 2 binary64))) |
Compiled 22 359 to 2 167 computations (90.3% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 520 | 10 | 530 |
| Fresh | 6 | 7 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 529 | 21 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 33.8% | (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d))))) | |
| ✓ | 62.1% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| 32.0% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 #s(approx (* (+ (* (/ c d) (/ c d)) 1) d) (*.f64 (/.f64 c d) c)) d))) | |
| 38.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| 34.4% | (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 37.9% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) | |
| 34.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 20.0% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 51.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) | |
| ▶ | 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| ✓ | 59.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| ▶ | 53.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
| ▶ | 29.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 38.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 40.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 42.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) | |
| 18.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (*.f64 b (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 d c)) c)))) | |
| 26.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) | |
| 50.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) | |
| ▶ | 55.3% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
Compiled 1 105 to 666 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) | |
| cost-diff | 1 | (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) | |
| cost-diff | 2 | (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) | |
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 (/.f64 d c) b a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| cost-diff | 0 | (*.f64 (/.f64 c d) a) | |
| cost-diff | 0 | #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (fma.f64 b (/.f64 d a) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) | |
| cost-diff | 0 | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 366 |
| 0 | 74 | 354 |
| 1 | 145 | 354 |
| 2 | 313 | 344 |
| 3 | 800 | 344 |
| 4 | 2600 | 344 |
| 5 | 6861 | 344 |
| 0 | 8050 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) |
(/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) |
(fma.f64 b (/.f64 d a) c) |
b |
(/.f64 d a) |
d |
a |
c |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
(/.f64 c d) |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
b |
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) |
(fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) |
(neg.f64 a) |
a |
c |
(*.f64 (*.f64 (/.f64 c d) c) b) |
(*.f64 (/.f64 c d) c) |
(/.f64 c d) |
d |
| Outputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (fma.f64 (/.f64 d a) b c))) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (fma.f64 (/.f64 d a) b c)) |
(/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c))) |
(fma.f64 b (/.f64 d a) c) |
(fma.f64 (/.f64 d a) b c) |
b |
(/.f64 d a) |
d |
a |
c |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 d b) |
(*.f64 b d) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 a d) c)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (/.f64 a d) c) |
(/.f64 c d) |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (/.f64 c d) b) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (/.f64 c d) b) d) |
(-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (/.f64 c d) b) |
b |
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) |
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 b d) c) a) d) c) |
(fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) |
(*.f64 (-.f64 (*.f64 (/.f64 b d) c) a) c) |
(neg.f64 a) |
a |
c |
(*.f64 (*.f64 (/.f64 c d) c) b) |
(*.f64 (/.f64 c d) c) |
(/.f64 c d) |
d |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6781662678291758 | (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) | |
| accuracy | 4.339382833125584 | (*.f64 (*.f64 (/.f64 c d) c) b) | |
| accuracy | 5.881247273145229 | (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) | |
| accuracy | 26.686843219467946 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) | |
| accuracy | 0.0 | (/.f64 d c) | |
| accuracy | 0.3061764983391917 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| accuracy | 2.3982387192347576 | (fma.f64 (/.f64 d c) b a) | |
| accuracy | 31.413035811478682 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| accuracy | 0.513909752523205 | (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) | |
| accuracy | 3.8416449421000562 | (*.f64 (/.f64 c d) a) | |
| accuracy | 25.9458961308976 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) | |
| accuracy | 29.334937154237977 | #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) | |
| accuracy | 0.0 | (*.f64 c c) | |
| accuracy | 24.091960735657583 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 28.918521146945956 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 31.157881096736666 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0.0 | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) | |
| accuracy | 2.2775728713669716 | (fma.f64 b (/.f64 d a) c) | |
| accuracy | 6.755470157533424 | (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) | |
| accuracy | 23.623090082541275 | (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) |
| 85.0ms | 256× | 0 | valid |
Compiled 295 to 43 computations (85.4% saved)
ival-mult: 34.0ms (52% of total)ival-div: 19.0ms (29.1% of total)ival-add: 10.0ms (15.3% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) |
(/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) |
(fma.f64 b (/.f64 d a) c) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) |
(-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(*.f64 c c) |
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) |
(*.f64 (*.f64 (/.f64 c d) c) b) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (* a (+ (pow c 2) (pow d 2)))) |
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a) |
(/ (* b d) a) |
(/ (+ (* a c) (* b d)) a) |
(* b d) |
(+ (* a c) (* b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* b (pow c 2)) d) |
(+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) |
(- b (/ (* b (pow c 2)) (pow d 2))) |
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(/ (- b (/ (* b (pow c 2)) (pow d 2))) d) |
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3))) |
(/ (* b (pow c 2)) (pow d 2)) |
(+ (* -1 (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ c (+ (pow c 2) (pow d 2))) |
(+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))) |
c |
(+ c (/ (* b d) a)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))) |
(* a (- (/ b a) (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3))))) |
(* -1 (/ (* a c) d)) |
(* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))) |
(* -1 (* a (- (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)) (/ c d)))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))) |
(- (* b (- 1 (/ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) d))) |
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ c b) (/ d a))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d))) |
(* b (- 1 (/ (pow c 2) (pow d 2)))) |
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d) |
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3)))) |
(* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)))) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d))))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b (* a d)) |
(+ (/ b (* a d)) (/ c (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(+ (* c (+ (* c (- (* -1 (/ c (pow d 4))) (/ b (* a (pow d 3))))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(/ d c) |
(* c (+ (* -1 a) (/ (* b c) d))) |
(+ b (* c (- (* -1 (/ (* b c) (pow d 2))) (* -1 (/ a d))))) |
(pow c 2) |
(* c (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ 1 c) |
(/ (+ 1 (/ (* b d) (* a c))) c) |
(/ (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) c) |
(/ (- (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (/ (* b d) (* a c)))) (/ (pow d 2) (pow c 2))) c) |
(* c (+ 1 (/ (* b d) (* a c)))) |
(* c (+ a (/ (* b d) c))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (* -1 (/ a c)) (/ b d))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2)))) |
(* (pow c 2) (- (/ b (pow c 2)) (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* a c))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) (* a c)) (* -1 (pow d 2))) c)) (/ (* b d) a)) c)) 1) c)) |
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ b c)) (/ a d)) c)) (/ b (pow d 2)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (/ 1 c) (/ (* b d) (* a (pow c 2)))) |
(+ (* d (+ (* -1 (/ d (pow c 3))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (* a (pow c 4)))) (/ 1 (pow c 3)))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) d) |
(/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2)) |
(/ (- (* d (- (* b d) (* -1 (* a c)))) (* b (pow c 2))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) (pow d 2)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (/ b a) (/ c d)) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))) d) |
(/ (- (+ (* -1 (/ (pow c 3) (pow d 3))) (+ (/ b a) (/ c d))) (/ (* b (pow c 2)) (* a (pow d 2)))) d) |
(* d (+ (/ b a) (/ c d))) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(- (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (* -1 (/ (* a c) d))) |
(/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ c d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (* b (pow c 2)) (* a d)))) d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (- (/ (pow c 3) d) (* -1 (/ (* b (pow c 2)) a))) d))) d))) d)) |
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(+ b (* -1 (/ (- (/ (* b (pow c 2)) d) (* a c)) d))) |
(* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | b | @ | -inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (* (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) a) (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (+ (* b (/ d a)) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (+ (* (neg a) c) (* (* (/ c d) c) b)) (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) d) (* c c) (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (* (* (/ c d) c) b)) |
| 20.0ms | d | @ | inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (* (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) a) (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (+ (* b (/ d a)) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (+ (* (neg a) c) (* (* (/ c d) c) b)) (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) d) (* c c) (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (* (* (/ c d) c) b)) |
| 4.0ms | c | @ | 0 | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (* (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) a) (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (+ (* b (/ d a)) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (+ (* (neg a) c) (* (* (/ c d) c) b)) (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) d) (* c c) (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (* (* (/ c d) c) b)) |
| 4.0ms | d | @ | -inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (* (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) a) (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (+ (* b (/ d a)) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (+ (* (neg a) c) (* (* (/ c d) c) b)) (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) d) (* c c) (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (* (* (/ c d) c) b)) |
| 4.0ms | a | @ | -inf | ((+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (* (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) a) (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (+ (* b (/ d a)) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (* (/ c d) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (+ (* (neg a) c) (* (* (/ c d) c) b)) (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (- b (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d)) d) (* c c) (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (* (* (/ c d) c) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 557 | 2604 |
| 1 | 2021 | 2376 |
| 2 | 7331 | 2327 |
| 0 | 8579 | 2239 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (* a (+ (pow c 2) (pow d 2)))) |
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a) |
(/ (* b d) a) |
(/ (+ (* a c) (* b d)) a) |
(* b d) |
(+ (* a c) (* b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(/ (* b (pow c 2)) d) |
(+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) |
(- b (/ (* b (pow c 2)) (pow d 2))) |
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(/ (- b (/ (* b (pow c 2)) (pow d 2))) d) |
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3))) |
(/ (* b (pow c 2)) (pow d 2)) |
(+ (* -1 (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ c (+ (pow c 2) (pow d 2))) |
(+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))) |
c |
(+ c (/ (* b d) a)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b a) (/ c d))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))) |
(* a (- (/ b a) (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3))))) |
(* -1 (/ (* a c) d)) |
(* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))) |
(* -1 (* a (- (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)) (/ c d)))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a))))) |
(* -1 (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))) |
(- (* b (- 1 (/ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) d))) |
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ c b) (/ d a))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d))) |
(* b (- 1 (/ (pow c 2) (pow d 2)))) |
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d) |
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3)))) |
(* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)))) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d))))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b (* a d)) |
(+ (/ b (* a d)) (/ c (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(+ (* c (+ (* c (- (* -1 (/ c (pow d 4))) (/ b (* a (pow d 3))))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) c) |
(/ d c) |
(* c (+ (* -1 a) (/ (* b c) d))) |
(+ b (* c (- (* -1 (/ (* b c) (pow d 2))) (* -1 (/ a d))))) |
(pow c 2) |
(* c (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ 1 c) |
(/ (+ 1 (/ (* b d) (* a c))) c) |
(/ (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) c) |
(/ (- (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (/ (* b d) (* a c)))) (/ (pow d 2) (pow c 2))) c) |
(* c (+ 1 (/ (* b d) (* a c)))) |
(* c (+ a (/ (* b d) c))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (* -1 (/ a c)) (/ b d))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2)))) |
(* (pow c 2) (- (/ b (pow c 2)) (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* a c))) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)) c)) 1) c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) (* a c)) (* -1 (pow d 2))) c)) (/ (* b d) a)) c)) 1) c)) |
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ b c)) (/ a d)) c)) (/ b (pow d 2)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(+ (/ 1 c) (/ (* b d) (* a (pow c 2)))) |
(+ (* d (+ (* -1 (/ d (pow c 3))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (* a (pow c 4)))) (/ 1 (pow c 3)))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) d) |
(/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2)) |
(/ (- (* d (- (* b d) (* -1 (* a c)))) (* b (pow c 2))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) (pow d 2)) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (+ (/ b a) (/ c d)) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))) d) |
(/ (- (+ (* -1 (/ (pow c 3) (pow d 3))) (+ (/ b a) (/ c d))) (/ (* b (pow c 2)) (* a (pow d 2)))) d) |
(* d (+ (/ b a) (/ c d))) |
(* d (+ b (/ (* a c) d))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a d) (/ b c))) |
(- (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (* -1 (/ (* a c) d))) |
(/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ c d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (* b (pow c 2)) (* a d)))) d))) d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (- (/ (pow c 3) d) (* -1 (/ (* b (pow c 2)) a))) d))) d))) d)) |
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(+ b (* -1 (/ (- (/ (* b (pow c 2)) d) (* a c)) d))) |
(* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (fma.f64 b d (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/ (* b d) (* a (+ (pow c 2) (pow d 2)))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 d a)) |
(/ (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) a) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 (fma.f64 d d (*.f64 c c)) a)) |
(/ (* b d) a) |
(/.f64 (*.f64 b d) a) |
(/ (+ (* a c) (* b d)) a) |
(/.f64 (fma.f64 b d (*.f64 c a)) a) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ (* a c) d) |
(*.f64 (/.f64 a d) c) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ (* b (pow c 2)) d) |
(/.f64 (*.f64 (*.f64 c c) b) d) |
(+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) |
(- b (/ (* b (pow c 2)) (pow d 2))) |
(-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) |
(- (+ b (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) |
(/ (- b (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) d) |
(- (+ (/ b d) (/ (* a c) (pow d 2))) (/ (* b (pow c 2)) (pow d 3))) |
(/.f64 (-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) d) |
(/ (* b (pow c 2)) (pow d 2)) |
(/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d) |
(+ (* -1 (/ (* a c) d)) (/ (* b (pow c 2)) (pow d 2))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c))) a) |
(/ c (+ (pow c 2) (pow d 2))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))) |
(/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c))) |
c |
(+ c (/ (* b d) a)) |
(fma.f64 (/.f64 d a) b c) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 (/.f64 d a) b c) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 a d) d) c) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) a) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 d c) a) b #s(literal 1 binary64)) c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 a b) (/.f64 (/.f64 d c) a) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) a) |
(* a (- (/ b a) (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(*.f64 (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d)) a) |
(* a (- (+ (/ b (* a d)) (/ c (pow d 2))) (/ (* b (pow c 2)) (* a (pow d 3))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d)) d) a) |
(* -1 (/ (* a c) d)) |
(*.f64 (/.f64 (neg.f64 a) d) c) |
(* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 a) (/.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 d a) b c))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 c d) (/.f64 b a))) d) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (neg.f64 a) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 d) c) b) a) #s(literal 1 binary64)) (neg.f64 c)) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 d) c) b) a) #s(literal 1 binary64))) |
(* -1 (* a (+ c (* -1 (/ (* b (pow c 2)) (* a d)))))) |
(*.f64 (neg.f64 a) (-.f64 c (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a))) |
(* -1 (* a (- (* -1 (/ (- b (/ (* b (pow c 2)) (pow d 2))) a)) (/ c d)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) (neg.f64 a)) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ b d) (/ (* b (pow c 2)) (pow d 3))) a))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d))) d) a) |
(* -1 (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d)))) |
(*.f64 (/.f64 (-.f64 c (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a)) d) (neg.f64 a)) |
(- (* b (- 1 (/ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) d))) |
(-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) |
(+ (* b (- (/ 1 d) (/ (pow c 2) (pow d 3)))) (/ (* a c) (pow d 2))) |
(/.f64 (-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) d) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c b) a d) b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (/ c (* b (+ (pow c 2) (pow d 2)))) (/ d (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (/.f64 (+.f64 (/.f64 d a) (/.f64 c b)) (fma.f64 d d (*.f64 c c))) b) |
(* b (+ (/ c b) (/ d a))) |
(*.f64 (+.f64 (/.f64 d a) (/.f64 c b)) b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 (fma.f64 (/.f64 c b) a d) b) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(*.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 d c) (/.f64 a b)) c) b) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 c (/.f64 c d))) b) |
(* b (- 1 (/ (pow c 2) (pow d 2)))) |
(-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) |
(* b (- (+ 1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (neg.f64 c) c) d)) d) #s(literal 1 binary64)) b) |
(/ (* b (- 1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) d) |
(* b (- (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (neg.f64 c) c) d)) d) #s(literal 1 binary64)) d) b) |
(* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 c (/.f64 c d))) d) b) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 b) (/.f64 (neg.f64 (fma.f64 (/.f64 c b) a d)) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (* b (+ (pow c 2) (pow d 2))))) (* -1 (/ d (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (neg.f64 b) (/.f64 (neg.f64 (+.f64 (/.f64 d a) (/.f64 c b))) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c b)) (* -1 (/ d a))))) |
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d a) (/.f64 c b)))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 (neg.f64 b) (neg.f64 (fma.f64 (/.f64 c b) a d))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 a) d) d) (/.f64 c b)) (/.f64 #s(literal 1 binary64) d))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (neg.f64 a) d) (/.f64 c b)) #s(literal 1 binary64))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 (neg.f64 b) (/.f64 (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b))) c)) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 (neg.f64 b) (neg.f64 (+.f64 (/.f64 d c) (/.f64 a b)))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b)))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (neg.f64 c) c) d))) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))))) |
(*.f64 (neg.f64 b) (-.f64 (*.f64 (/.f64 (neg.f64 a) d) (/.f64 c b)) (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d d)))))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(/.f64 (-.f64 b (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) d)) d) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b (pow d 2)))) (* -1 (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d))))) |
(*.f64 (neg.f64 b) (neg.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (neg.f64 c) c) d)) d) #s(literal 1 binary64)) d))) |
(* -1 (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(*.f64 (neg.f64 b) (/.f64 (fma.f64 (/.f64 c b) a (/.f64 (*.f64 (neg.f64 c) c) d)) d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(/.f64 (-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) d) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) c (/.f64 (/.f64 a d) d)) c (/.f64 b d)) |
(/ b (* a d)) |
(/.f64 (/.f64 b d) a) |
(+ (/ b (* a d)) (/ c (pow d 2))) |
(/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) |
(+ (* c (+ (* -1 (/ (* b c) (* a (pow d 3)))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(/.f64 (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d)) d) |
(+ (* c (+ (* c (- (* -1 (/ c (pow d 4))) (/ b (* a (pow d 3))))) (/ 1 (pow d 2)))) (/ b (* a d))) |
(fma.f64 (*.f64 (-.f64 (/.f64 (neg.f64 c) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 b (pow.f64 d #s(literal 3 binary64))) a)) c) c (/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 b d (*.f64 c a)) c) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(/ d c) |
(/.f64 d c) |
(* c (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) |
(+ b (* c (- (* -1 (/ (* b c) (pow d 2))) (* -1 (/ a d))))) |
(-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) |
(pow c 2) |
(*.f64 c c) |
(* c (+ (* -1 (/ a d)) (/ (* b c) (pow d 2)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (fma.f64 (/.f64 b c) d a)) (*.f64 (*.f64 d (/.f64 d c)) (/.f64 a c))) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (+ 1 (/ (* b d) (* a c))) c) |
(/.f64 (fma.f64 (/.f64 (/.f64 d c) a) b #s(literal 1 binary64)) c) |
(/ (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (* b d) (* a c)))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 d a) b (/.f64 (*.f64 (neg.f64 d) d) c)) c) #s(literal 1 binary64)) c) |
(/ (- (+ 1 (+ (* -1 (/ (* b (pow d 3)) (* a (pow c 3)))) (/ (* b d) (* a c)))) (/ (pow d 2) (pow c 2))) c) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 b) (pow.f64 (/.f64 d c) #s(literal 3 binary64)) (/.f64 (*.f64 b d) c)) a) #s(literal 1 binary64)) (*.f64 d (/.f64 d (*.f64 c c)))) c) |
(* c (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 (*.f64 c (/.f64 b a)) (/.f64 d c) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 b c) d a) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* (pow c 2) (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a c) (/.f64 b d)) c) c) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(*.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d))) |
(* (pow c 2) (- (/ a (* c d)) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 (/.f64 a c) d) (/.f64 (/.f64 b d) d)) (*.f64 c c)) |
(* (pow c 2) (- (/ b (pow c 2)) (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) c) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a c) (/.f64 b d)) d)) (*.f64 c c)) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(*.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 3 binary64)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 b d) (/.f64 a c)) (*.f64 d d)) (*.f64 c c)) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(*.f64 (fma.f64 (/.f64 b (pow.f64 d #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) d)) (*.f64 c c)) |
(* (pow c 2) (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a c) (/.f64 b d)) d) c) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 a) (*.f64 d (/.f64 d c)) (*.f64 b d)) (neg.f64 c)) a) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* a (pow d 2)) (/ (* b (pow d 3)) c)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) (neg.f64 c)) a) (neg.f64 c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b d (/.f64 (fma.f64 (*.f64 d a) d (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) (neg.f64 c)) a) (neg.f64 c)) |
(* -1 (/ (- (* -1 (/ (* b d) (* a c))) 1) c)) |
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 d) c) b) a) #s(literal 1 binary64)) (neg.f64 c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow d 2) c)) (/ (* b d) a)) c)) 1) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 d a) b (/.f64 (*.f64 (neg.f64 d) d) c)) (neg.f64 c)) #s(literal 1 binary64)) (neg.f64 c)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) (* a c)) (* -1 (pow d 2))) c)) (/ (* b d) a)) c)) 1) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 d a) b (/.f64 (fma.f64 d d (/.f64 (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c) a)) (neg.f64 c))) (neg.f64 c)) #s(literal 1 binary64)) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (neg.f64 d) c) b) a) #s(literal 1 binary64)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a)) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) d) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) (neg.f64 c)) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ b c)) (/ a d)) c)) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d)))) c) (/.f64 (/.f64 b d) d)) (*.f64 c c)) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (neg.f64 b) (pow.f64 d #s(literal 3 binary64))) (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) d) c)) c) c) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) (*.f64 c c)) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 d (pow.f64 c #s(literal 4 binary64)))) (/.f64 a (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 b c) c)) d (/.f64 a c)) |
(+ (/ 1 c) (/ (* b d) (* a (pow c 2)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 d c) a) b #s(literal 1 binary64)) c) |
(+ (* d (+ (* -1 (/ d (pow c 3))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 d c) #s(literal -1 binary64) (/.f64 b a)) (*.f64 c c)) d (/.f64 #s(literal 1 binary64) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (* a (pow c 4)))) (/ 1 (pow c 3)))) (/ b (* a (pow c 2))))) (/ 1 c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) a)) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (/.f64 b c) c) a)) d (/.f64 #s(literal 1 binary64) c)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 b d (*.f64 c a)) d) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 b d (*.f64 c a)) d) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) d) |
(/.f64 (fma.f64 (*.f64 (neg.f64 a) d) c (*.f64 (*.f64 c c) b)) d) |
(/ (- (* a (* c d)) (* b (pow c 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) c) c (*.f64 (*.f64 d c) a)) d) d) |
(/ (- (* d (- (* b d) (* -1 (* a c)))) (* b (pow c 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) c) c (*.f64 (fma.f64 b d (*.f64 c a)) d)) d) d) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/.f64 (fma.f64 (*.f64 d c) a (*.f64 c (*.f64 (neg.f64 b) c))) (pow.f64 d #s(literal 3 binary64))) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/.f64 (fma.f64 (fma.f64 b d (*.f64 c a)) d (*.f64 c (*.f64 (neg.f64 b) c))) (pow.f64 d #s(literal 3 binary64))) |
(/ (+ (* -1 (* a (* c d))) (* b (pow c 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 a) d) c (*.f64 (*.f64 c c) b)) d) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (neg.f64 a) (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) c) d) a) d) c)) b) d) |
(/ (+ (/ b a) (/ c d)) d) |
(/.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d))) d) |
(/.f64 (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d)) d) |
(/ (- (+ (* -1 (/ (pow c 3) (pow d 3))) (+ (/ b a) (/ c d))) (/ (* b (pow c 2)) (* a (pow d 2)))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 b a)) (/.f64 (-.f64 c (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a)) d)) d) |
(* d (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 c d) (/.f64 b a)) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (/.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) d) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(- (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (* -1 (/ (* a c) d))) |
(-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) |
(/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d) |
(/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d))) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* b (pow c 2)) (/ (* a (pow c 3)) d)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ c d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 c d) (/.f64 b a))) d) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (* b (pow c 2)) (* a d)))) d))) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 b a) (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) b) d) a) c) d))) d) |
(* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ c (* -1 (/ (- (/ (pow c 3) d) (* -1 (/ (* b (pow c 2)) a))) d))) d))) d)) |
(/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (-.f64 c (/.f64 (fma.f64 (/.f64 (*.f64 c c) a) b (/.f64 (pow.f64 c #s(literal 3 binary64)) d)) d)) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (neg.f64 d) (neg.f64 (+.f64 (/.f64 c d) (/.f64 b a)))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a d) c b)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (/.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) c) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 b c) (/.f64 a d))) (neg.f64 d)) |
(+ b (* -1 (/ (- (/ (* b (pow c 2)) d) (* a c)) d))) |
(-.f64 b (/.f64 (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c) d)) |
(* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d)) |
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 b) c) d) a) d) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 323 |
| 0 | 74 | 311 |
| 1 | 274 | 311 |
| 2 | 2154 | 311 |
| 0 | 8855 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a) |
(/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) |
(fma.f64 b (/.f64 d a) c) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) |
(-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d) |
(*.f64 c c) |
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) |
(*.f64 (*.f64 (/.f64 c d) c) b) |
| Outputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (fma.f64 (/.f64 d a) b c) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c))) a) |
(*.f64 (fma.f64 (/.f64 d a) b c) (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 a (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) a)) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 a (neg.f64 (fma.f64 (/.f64 d a) b c)))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a (neg.f64 (fma.f64 (/.f64 d a) b c))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d a) b c) a) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) a (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(fma.f64 a (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) a) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 a (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b (neg.f64 c)) (-.f64 (*.f64 (/.f64 d a) b) c)) (/.f64 (-.f64 (*.f64 (/.f64 d a) b) (neg.f64 c)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (-.f64 (*.f64 (/.f64 d a) b) c)) (/.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 c (-.f64 c (*.f64 (/.f64 d a) b)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64))) (fma.f64 c (-.f64 c (*.f64 (/.f64 d a) b)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 d a) b) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 c)))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 d a) b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) c))) (neg.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 d a) b)) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (neg.f64 c)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 d a) b)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 c))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (/.f64 d a) b)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 d a) b) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (neg.f64 c)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (fma.f64 (*.f64 b d) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 (neg.f64 c)))) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (fma.f64 (*.f64 b d) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 c))) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) c)) (*.f64 (*.f64 a (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (neg.f64 (*.f64 (/.f64 d a) b)))) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 d a) b))) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 c)) (*.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 b d))) (*.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (neg.f64 c) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (*.f64 (/.f64 d a) b)))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 d a) b))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 c) (*.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 b d))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 c (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (*.f64 (/.f64 d a) b)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 c (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 d a) b))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 c (*.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b d))) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64)) (*.f64 c c))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 c (-.f64 c (*.f64 (/.f64 d a) b)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d a) b c))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 d a) b) (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 c))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 d a) b) (fma.f64 d d (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) c)) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64)) (*.f64 c c)) (*.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 3 binary64))) (*.f64 (fma.f64 c (-.f64 c (*.f64 (/.f64 d a) b)) (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (/.f64 d a) b c) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 d a) b c)) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 d a) b c) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 c (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 c (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 c (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d a) b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d a) b) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d a) b) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d a) b) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 d a) (/.f64 b (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(fma.f64 b (/.f64 (/.f64 d a) (fma.f64 d d (*.f64 c c))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c c) (*.f64 (-.f64 (*.f64 (/.f64 d a) b) c) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d a) b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 d a) b) c)) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 c c) (-.f64 (*.f64 (/.f64 d a) b) c)) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 (/.f64 d a)) b) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 (neg.f64 b) (/.f64 d a)) (fma.f64 d d (*.f64 c c)))) |
(+.f64 (*.f64 (/.f64 b a) (/.f64 d (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) |
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(/.f64 (fma.f64 (*.f64 (neg.f64 a) c) d (*.f64 d (*.f64 (*.f64 (/.f64 c d) c) b))) (*.f64 d d)) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 c d) c) b) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
(/.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 c d) c) b) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 c d) c) b) (-.f64 (*.f64 (*.f64 (/.f64 c d) c) b) (*.f64 (neg.f64 a) c)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) d)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b))) (neg.f64 d)) |
(/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b))) d)) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) (neg.f64 d))) |
(fma.f64 (*.f64 (/.f64 c d) c) (/.f64 b d) (/.f64 (*.f64 (neg.f64 a) c) d)) |
(fma.f64 (neg.f64 a) (/.f64 c d) (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d)) |
(fma.f64 (/.f64 c d) (/.f64 (*.f64 b c) d) (/.f64 (*.f64 (neg.f64 a) c) d)) |
(fma.f64 b (/.f64 (*.f64 (/.f64 c d) c) d) (/.f64 (*.f64 (neg.f64 a) c) d)) |
(fma.f64 c (/.f64 (neg.f64 a) d) (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b)) d)) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b)) d))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b)) d)) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c d) c) b) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b)) d))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b))) d) (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 c d) c) b) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 a) c) (*.f64 (*.f64 (/.f64 c d) c) b))) d)) |
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d) (/.f64 (*.f64 (neg.f64 (neg.f64 a)) c) d)) |
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d) (/.f64 (*.f64 (neg.f64 c) (neg.f64 a)) d)) |
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d) (*.f64 (/.f64 a d) c)) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) c) d) (/.f64 (*.f64 (neg.f64 (/.f64 c d)) (*.f64 b c)) d)) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) c) d) (/.f64 (*.f64 (neg.f64 b) (*.f64 (/.f64 c d) c)) d)) |
(-.f64 (/.f64 (*.f64 (neg.f64 a) c) d) (/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 c d) c) b)) d)) |
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d) (/.f64 (*.f64 (neg.f64 a) c) d)) |
(+.f64 (/.f64 (*.f64 (neg.f64 a) c) d) (/.f64 (*.f64 (*.f64 (/.f64 c d) c) b) d)) |
(*.f64 (*.f64 b (/.f64 c d)) c) |
(*.f64 (*.f64 b c) (/.f64 c d)) |
(*.f64 (*.f64 (/.f64 c d) c) b) |
(*.f64 (/.f64 c d) (*.f64 b c)) |
(*.f64 b (*.f64 (/.f64 c d) c)) |
(*.f64 c (*.f64 (/.f64 c d) b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 c c) b)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) (*.f64 b c))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 c (*.f64 b c))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 b (*.f64 c c))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 c c) b) d) |
(/.f64 (*.f64 (neg.f64 c) (*.f64 b c)) (neg.f64 d)) |
(/.f64 (*.f64 c (*.f64 b c)) d) |
(/.f64 (*.f64 b (*.f64 c c)) d) |
Compiled 25 294 to 2 628 computations (89.6% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 536 | 10 | 546 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 540 | 27 | 567 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.1% | (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
| 32.0% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 #s(approx (* (+ (* (/ c d) (/ c d)) 1) d) (*.f64 (/.f64 c d) c)) d))) | |
| 38.7% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| 34.4% | (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 37.9% | (/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) | |
| 26.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 20.0% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 26.0% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 51.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) | |
| 49.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) | |
| ✓ | 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| ✓ | 59.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 53.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(approx (+ (* (neg a) c) (* (* (/ c d) c) b)) (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c)) d)) d)) | |
| 41.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b #s(approx (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a c) (/.f64 b d)) d) c) c))) d)) | |
| 21.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) | |
| ✓ | 29.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 38.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 52.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b d) (/.f64 (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) d))) | |
| 40.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) | |
| 42.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) | |
| 18.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (*.f64 b (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 d c)) c)))) | |
| 22.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| 50.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) | |
| 26.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) | |
| ✓ | 55.3% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
| 38.3% | #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
Compiled 2 362 to 759 computations (67.9% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 #s(approx (* (+ (* (/ c d) (/ c d)) 1) d) (*.f64 (/.f64 c d) c)) d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(approx (+ (* (neg a) c) (* (* (/ c d) c) b)) (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) c) d (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) d) d) c (/.f64 b d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b #s(approx (/ (+ (* (neg a) c) (* (* (/ c d) c) b)) d) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a c) (/.f64 b d)) d) c) c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b d) (/.f64 (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d) d))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) #s(approx (* d (/ b (+ (* d d) (* c c)))) (/.f64 (*.f64 b (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (neg.f64 d)))) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d #s(approx (/ b (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (/.f64 (*.f64 c c) d) b) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (- a (/ (+ (* (neg b) d) (/ (+ (* (* d d) a) (/ (* (pow d 3) b) c)) c)) c)) c) (*.f64 b (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 d c)) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (/.f64 (fma.f64 (*.f64 b c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 3 binary64))) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 a d) c)) (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64))) d))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) #s(literal 2 binary64)) (*.f64 (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
5 calls:
| 132.0ms | a |
| 116.0ms | c |
| 83.0ms | d |
| 36.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 22.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 4 | a |
| 66.2% | 2 | b |
| 84.9% | 5 | c |
| 86.2% | 5 | d |
| 73.9% | 2 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 #s(approx (* (+ (* (/ c d) (/ c d)) 1) d) (*.f64 (/.f64 c d) c)) d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a d) #s(literal 1 binary64)) d) b))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(approx (+ (* (neg a) c) (* (* (/ c d) c) b)) (*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) c)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 a) c (*.f64 (*.f64 (/.f64 c d) c) b)) d)) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
1 calls:
| 16.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 #s(approx (* (+ (* (/ c d) (/ c d)) 1) d) (*.f64 (/.f64 c d) c)) d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
1 calls:
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
2 calls:
| 11.0ms | c |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | c |
| 78.9% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
2 calls:
| 9.0ms | d |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 3 | d |
| 78.8% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
3 calls:
| 7.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 7.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 7 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 70.3% | 4 | c |
| 72.1% | 4 | d |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
4 calls:
| 7.0ms | c |
| 6.0ms | b |
| 6.0ms | d |
| 6.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 4 | b |
| 67.2% | 6 | c |
| 58.2% | 4 | a |
| 67.7% | 6 | d |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
2 calls:
| 7.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 6 | c |
| 63.9% | 5 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 (/.f64 a d) d) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ d c) b) a) c) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 b d)) (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
1 calls:
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.3% | 4 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 #s(approx (/ (+ (* b (/ d a)) c) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) a)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 4.0ms | c |
| 3.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 3 | c |
| 59.2% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.4% | 1 | a |
| 38.4% | 1 | b |
| 38.4% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 38.4% | 1 | d |
| 38.4% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 3.0301968804619032e+94 | 3.1121818865820306e+100 |
| 16.0ms | 3.8052287258751587e-166 | 2.728188915594864e-150 |
| 20.0ms | -9.541725140537172e-152 | -2.570106592877083e-181 |
| 12.0ms | -2.8869445071934254e+113 | -1.6784752996340685e+111 |
| 48.0ms | 592× | 0 | valid |
Compiled 1 681 to 1 019 computations (39.4% saved)
ival-mult: 22.0ms (71% of total)ival-add: 5.0ms (16.1% of total)ival-div: 3.0ms (9.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0301968804619032e+94 | 3.1121818865820306e+100 |
| 1.0ms | 3.8052287258751587e-166 | 2.728188915594864e-150 |
| 1.0ms | -9.541725140537172e-152 | -2.570106592877083e-181 |
| 19.0ms | -4.4676583496610375e+73 | -6.13984065773057e+66 |
| 14.0ms | 144× | 0 | valid |
Compiled 2 149 to 1 253 computations (41.7% saved)
ival-mult: 7.0ms (71.5% of total)ival-div: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.0301968804619032e+94 | 3.1121818865820306e+100 |
| 1.0ms | 3.8052287258751587e-166 | 2.728188915594864e-150 |
| 104.0ms | -1.8915941468485625e-130 | -3.4047884920444706e-139 |
| 13.0ms | -1.995762982383096e+76 | -4.4676583496610375e+73 |
| 107.0ms | 272× | 0 | valid |
Compiled 1 502 to 973 computations (35.2% saved)
ival-add: 91.0ms (91% of total)ival-mult: 7.0ms (7% of total)ival-div: 2.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 602.2735142670729 | 207540.22424520264 |
| 14.0ms | -5.603649166777788e-22 | -6.599014440968089e-26 |
| 17.0ms | 256× | 0 | valid |
Compiled 850 to 538 computations (36.7% saved)
ival-mult: 7.0ms (66.8% of total)ival-div: 2.0ms (19.1% of total)ival-add: 2.0ms (19.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.4021636320221453e+62 | 1.3535238896731778e+64 |
| 19.0ms | -4.4014450073898843e-32 | -6.572187570932878e-58 |
| 19.0ms | 288× | 0 | valid |
Compiled 1 026 to 612 computations (40.4% saved)
ival-mult: 7.0ms (59.6% of total)ival-div: 2.0ms (17% of total)ival-add: 2.0ms (17% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.4021636320221453e+62 | 1.3535238896731778e+64 |
| 4.0ms | -4.4014450073898843e-32 | -6.572187570932878e-58 |
| 15.0ms | -1.192334012592112e+157 | -3.0062123026124317e+147 |
| 16.0ms | 240× | 0 | valid |
Compiled 1 258 to 808 computations (35.8% saved)
ival-mult: 6.0ms (60.3% of total)ival-add: 2.0ms (20.1% of total)ival-div: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.0301968804619032e+94 | 3.1121818865820306e+100 |
| 15.0ms | 1.0722962671207459e-115 | 8.164347402500173e-113 |
| 11.0ms | -9.541725140537172e-152 | -2.570106592877083e-181 |
| 26.0ms | -1.7274923315430871e-85 | -3.899215572695898e-91 |
| 12.0ms | -1.192334012592112e+157 | -3.0062123026124317e+147 |
| 44.0ms | 480× | 0 | valid |
Compiled 2 012 to 1 332 computations (33.8% saved)
ival-mult: 23.0ms (76.2% of total)ival-add: 4.0ms (13.3% of total)ival-div: 3.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.688797619224579e+137 | 9.981246001763198e+137 |
| 21.0ms | 1.074264666729768e-112 | 2.06728410569703e-102 |
| 1.0ms | -9.541725140537172e-152 | -2.570106592877083e-181 |
| 12.0ms | -3.327092161891518e-25 | -5.695573634062389e-27 |
| 24.0ms | 352× | 0 | valid |
Compiled 1 746 to 1 053 computations (39.7% saved)
ival-mult: 9.0ms (63.1% of total)ival-add: 3.0ms (21% of total)ival-div: 2.0ms (14% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 12368140483013773000.0 | 1.0472975729485672e+22 |
| 9.0ms | -9.541725140537172e-152 | -2.570106592877083e-181 |
| 28.0ms | -3.327092161891518e-25 | -5.695573634062389e-27 |
| 14.0ms | 208× | 0 | valid |
Compiled 1 276 to 818 computations (35.9% saved)
ival-mult: 5.0ms (59.4% of total)ival-add: 2.0ms (23.8% of total)ival-div: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.65514796846842e-43 | 3.4744451313859406e-40 |
| 15.0ms | -2.4396607799662147e-32 | -3.6885825551304667e-34 |
| 16.0ms | 240× | 0 | valid |
Compiled 588 to 438 computations (25.5% saved)
ival-mult: 6.0ms (60.4% of total)ival-add: 2.0ms (20.1% of total)ival-div: 1.0ms (10.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 1019 |
| 1 | 182 | 1019 |
| 2 | 253 | 1019 |
| 3 | 365 | 1019 |
| 4 | 473 | 1019 |
| 5 | 524 | 1019 |
| 6 | 530 | 1019 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -29000000000000001818254770743920900436591732459224134913454241140751952419884544400905200807146327997305717784576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -359999999999999987798928575703303186458339108715018313518077601382400 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3036836989747397/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 c #s(literal -1754580954436089/10633823966279326983230456482242756608 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 9500 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 d #s(literal -8741742960768907/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 449999999999999998632926274272706706007929796698461578628956160 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
(if (<=.f64 d #s(literal -190000000000000001810053704980152851328821361825794578339631519084164473429875424620291331887566443819346271803800182739426648189925931251673853182607360 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8741742960768907/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (if (<=.f64 d #s(literal 1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -190000000000000001810053704980152851328821361825794578339631519084164473429875424620291331887566443819346271803800182739426648189925931251673853182607360 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5935323566771181/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (if (<=.f64 d #s(literal -531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 5323525812711965/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 10599999999999999413965197939523495311183972646021372974258300666897263812249721016506644900610048 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))) |
(if (<=.f64 d #s(literal -2395587863123407/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 7488524646452035/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 690000000000000039187077337307613968298921371607408065613613338225565916876383598785505688690915560381655419294064601739047759163189886976 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -2395587863123407/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -7729075046034517/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 13200000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 c #s(literal -7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -29000000000000001818254770743920900436591732459224134913454241140751952419884544400905200807146327997305717784576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -29000000000000001818254770743920900436591732459224134913454241140751952419884544400905200807146327997305717784576 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (fma.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -359999999999999987798928575703303186458339108715018313518077601382400 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -359999999999999987798928575703303186458339108715018313518077601382400 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -2995016580338375/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (fma.f64 b (/.f64 d a) c) (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3036836989747397/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 d #s(literal -9500000000000000607765082137000988651177830571589559478285073436432620584960 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal -3036836989747397/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 4679713406778711/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 d #s(literal 41000000000000003052182157569864778664182861418596498169432556684826993762510349635638700015616 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))))) |
(if (<=.f64 c #s(literal -1754580954436089/10633823966279326983230456482242756608 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 9500 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -1754580954436089/10633823966279326983230456482242756608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (if (<=.f64 c #s(literal 9500 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 d #s(literal -8741742960768907/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 d #s(literal 449999999999999998632926274272706706007929796698461578628956160 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)))) |
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(if (<=.f64 d #s(literal -190000000000000001810053704980152851328821361825794578339631519084164473429875424620291331887566443819346271803800182739426648189925931251673853182607360 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -8741742960768907/12855504354071922204335696738729300820177623950262342682411008 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (if (<=.f64 d #s(literal 1550000000000000025739141277999800561048525536883930569220554752 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
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(if (<=.f64 d #s(literal -190000000000000001810053704980152851328821361825794578339631519084164473429875424620291331887566443819346271803800182739426648189925931251673853182607360 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5935323566771181/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (if (<=.f64 d #s(literal -531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 5323525812711965/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 10599999999999999413965197939523495311183972646021372974258300666897263812249721016506644900610048 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))) |
(if (<=.f64 d #s(literal -190000000000000001810053704980152851328821361825794578339631519084164473429875424620291331887566443819346271803800182739426648189925931251673853182607360 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -5935323566771181/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (if (<=.f64 d #s(literal -531373909414873/241533595188578646543459493183249209018682958106652187416077203215719946393097526533512110411370161122653976001968886073585317416315186728483931792091692546793561300926464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 5323525812711965/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296 binary64)) (/.f64 (fma.f64 c a (*.f64 d b)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) (if (<=.f64 d #s(literal 10599999999999999413965197939523495311183972646021372974258300666897263812249721016506644900610048 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))))) |
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(if (<=.f64 d #s(literal -2395587863123407/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -7729075046034517/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (+ (* a (/ c (+ (* d d) (* c c)))) (* d (/ b (+ (* d d) (* c c))))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 13200000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -2395587863123407/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -7729075046034517/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) (if (<=.f64 d #s(literal 13200000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 c #s(literal -7307508186654515/365375409332725729550921208179070754913983135744 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
(if (or (<=.f64 c #s(literal -7307508186654515/365375409332725729550921208179070754913983135744 binary64)) (not (<=.f64 c #s(literal 7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 69 | 35 |
| 2 | 592 | 35 |
| 0 | 9029 | 31 |
| 0 | 39 | 253 |
| 0 | 67 | 240 |
| 1 | 273 | 240 |
| 2 | 2101 | 240 |
| 0 | 9004 | 240 |
| 0 | 686 | 3248 |
| 1 | 2433 | 3005 |
| 0 | 8857 | 2885 |
| 0 | 39 | 233 |
| 0 | 58 | 221 |
| 1 | 232 | 221 |
| 2 | 1605 | 221 |
| 0 | 8743 | 215 |
| 0 | 186 | 623 |
| 1 | 667 | 571 |
| 2 | 2422 | 547 |
| 3 | 7277 | 547 |
| 0 | 8281 | 503 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 442 to 787 computations (67.8% saved)
Compiled 2 140 to 336 computations (84.3% saved)
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