
Time bar (total: 9.2s)
| 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 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 352.0ms (62.8% of total)ival-add: 103.0ms (18.4% of total)ival-div: 97.0ms (17.3% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 74 | 0 | - | 1 | (1.1784680613332892e+26 8.532832740497598e+210 -5.593003454014382e-162 7.763756608715307e-13) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 58 | 0 | - | 1 | (1.9143888692860338e-20 7.79067384047033e-160 -1.3192313221996204e-212 3.0376975384028947e-292) | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 12 | 0 |
| ↳ | (*.f64 z z) | overflow | 57 | |
| ↳ | (*.f64 t t) | overflow | 62 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 12 | 0 |
| ↳ | (*.f64 x x) | underflow | 59 | |
| ↳ | (*.f64 y y) | underflow | 53 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 11 | 0 |
| ↳ | (*.f64 t t) | underflow | 59 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 11 | 0 |
| ↳ | (*.f64 z z) | overflow | 57 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 10 | 0 |
| ↳ | (*.f64 z z) | underflow | 62 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 9 | 0 |
| ↳ | (*.f64 z z) | underflow | 62 | |
| ↳ | (*.f64 t t) | underflow | 59 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 9 | 0 |
| ↳ | (*.f64 x x) | overflow | 61 | |
| ↳ | (*.f64 y y) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 8 | 0 |
| ↳ | (*.f64 t t) | overflow | 62 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 8 | 0 |
| ↳ | (*.f64 x x) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 6 | 0 |
| ↳ | (*.f64 y y) | underflow | 53 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 6 | 0 |
| ↳ | (*.f64 x x) | underflow | 59 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 1 | 0 |
| ↳ | (*.f64 y y) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 79 | 8 |
| - | 21 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 79 | 0 | 8 |
| - | 21 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 156 |
| 1 | 97 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 512× | 0 | valid |
Compiled 199 to 59 computations (70.4% saved)
ival-mult: 13.0ms (61.5% of total)ival-div: 5.0ms (23.6% of total)ival-add: 2.0ms (9.5% 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 | 44 | 214 |
| 1 | 175 | 214 |
| 2 | 626 | 214 |
| 3 | 2107 | 214 |
| 4 | 3907 | 214 |
| 5 | 4792 | 214 |
| 6 | 4924 | 214 |
| 7 | 4984 | 214 |
| 8 | 5060 | 214 |
| 9 | 5119 | 214 |
| 10 | 5791 | 214 |
| 11 | 6095 | 214 |
| 12 | 6095 | 214 |
| 13 | 6095 | 214 |
| 14 | 6463 | 214 |
| 15 | 6639 | 214 |
| 16 | 6799 | 214 |
| 17 | 6863 | 214 |
| 18 | 6863 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 31 | 15 |
| 2 | 43 | 15 |
| 3 | 43 | 15 |
| 0 | 43 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(abs t)
(abs z)
(abs y)
(abs x)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 31 | 45 |
| 2 | 43 | 45 |
| 3 | 43 | 45 |
| 0 | 43 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 13.72232639782278 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 17.330861748155552 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 37.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 7.0ms (62.6% of total)ival-div: 3.0ms (26.8% of total)ival-add: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 t t) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t)) |
| 2.0ms | z | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t)) |
| 2.0ms | x | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t)) |
| 1.0ms | z | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t)) |
| 1.0ms | x | @ | -inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* z z) (* t t)) (/ (* x x) (* y y)) (* t t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 109 |
| 1 | 60 | 109 |
| 2 | 192 | 109 |
| 3 | 825 | 109 |
| 4 | 2854 | 109 |
| 5 | 3969 | 109 |
| 6 | 6263 | 109 |
| 7 | 7757 | 109 |
| 0 | 8061 | 104 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(pow x 2) |
(/ (pow x 2) (pow y 2)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow x 2) |
(*.f64 x x) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8377 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 x x) |
(*.f64 y y) |
(*.f64 z z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (+.f64 (/.f64 x y) (/.f64 z t))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (neg.f64 y)) y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y)))) |
(*.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (neg.f64 y)))) |
(*.f64 (fma.f64 y y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) y))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z y) (/.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t y)))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 t) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 z (/.f64 z t)))) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) (neg.f64 t) (*.f64 (*.f64 y (neg.f64 z)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 t)) t))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y t) t))) |
(*.f64 (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (neg.f64 t)))) |
(*.f64 (fma.f64 t t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) t))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x t) (/.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) t)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y t)))) |
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x (pow.f64 (/.f64 z t) #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y (pow.f64 (/.f64 z t) #s(literal -2 binary64)))))) |
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(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (neg.f64 t)) t) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 (neg.f64 t))) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 8 601 to 1 111 computations (87.1% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 23 | 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 404 | 24 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 91.1% | (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| 96.1% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| ▶ | 96.7% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 89.1% | (fma.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| 67.8% | (/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) | |
| 60.8% | (/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) (*.f64 t y))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) | |
| 99.4% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) | |
| ▶ | 79.4% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 76.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 82.5% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 80.3% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 66.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 74.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
| 82.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 73.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) | |
| 72.9% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 79.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 76.6% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 77.6% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 50.7% | (*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) | |
| 92.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) | |
| ▶ | 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
Compiled 807 to 589 computations (27% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 z t)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 448 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 128 | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 (/.f64 z t) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 203 |
| 0 | 58 | 187 |
| 1 | 98 | 187 |
| 2 | 155 | 187 |
| 3 | 308 | 187 |
| 4 | 546 | 187 |
| 5 | 987 | 187 |
| 6 | 2140 | 187 |
| 7 | 2988 | 187 |
| 8 | 3488 | 187 |
| 9 | 4295 | 187 |
| 10 | 4860 | 187 |
| 11 | 5066 | 187 |
| 12 | 5174 | 187 |
| 13 | 5216 | 187 |
| 14 | 5316 | 187 |
| 15 | 5491 | 187 |
| 16 | 5762 | 187 |
| 17 | 6152 | 187 |
| 18 | 6358 | 187 |
| 19 | 6410 | 187 |
| 20 | 6416 | 187 |
| 21 | 6416 | 187 |
| 22 | 6436 | 187 |
| 23 | 6456 | 187 |
| 24 | 6512 | 187 |
| 25 | 6707 | 187 |
| 26 | 6707 | 187 |
| 0 | 6707 | 187 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (/.f64 (*.f64 t t) z)) |
z |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(neg.f64 z) |
z |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (/.f64 (*.f64 t t) z)) |
z |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(neg.f64 z) |
z |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.140625 | (*.f64 (neg.f64 z) (/.f64 z t)) | |
| accuracy | 0.23046875 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| accuracy | 1.9768505105825778 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.171875 | (/.f64 (/.f64 x y) (/.f64 y x)) | |
| accuracy | 17.330861748155552 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| accuracy | 4.73185870839884 | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| accuracy | 7.211654002558767 | (/.f64 (*.f64 t t) z) | |
| accuracy | 13.72232639782278 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.12890625 | (/.f64 (/.f64 z t) t) | |
| accuracy | 4.7104580398627425 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.140625 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0.23046875 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| 92.0ms | 256× | 0 | valid |
Compiled 402 to 69 computations (82.8% saved)
ival-div: 51.0ms (72.4% of total)ival-mult: 11.0ms (15.6% of total)ival-add: 5.0ms (7.1% of total)ival-pow2: 2.0ms (2.8% of total)ival-neg: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(*.f64 z z) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) t) |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(neg.f64 z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 t t) z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(*.f64 t t) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(* -1 z) |
(/ (pow t 2) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ -1 t) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t)) |
| 3.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t)) |
| 3.0ms | y | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t)) |
| 2.0ms | t | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t)) |
| 2.0ms | t | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (/ -1 t) (* (neg z) (/ z t))) (pow (/ x y) 2)) (/ -1 t) (* (neg z) (/ z t)) (neg z) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 139 |
| 1 | 76 | 139 |
| 2 | 216 | 139 |
| 3 | 865 | 139 |
| 4 | 2944 | 139 |
| 5 | 4216 | 139 |
| 6 | 7395 | 139 |
| 0 | 8176 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(* -1 z) |
(/ (pow t 2) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ -1 t) |
(pow t 2) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ x y) |
(/.f64 x y) |
(pow x 2) |
(*.f64 x x) |
(/ y x) |
(/.f64 y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) z) (*.f64 x x)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(pow z 2) |
(*.f64 z z) |
(* -1 (/ (pow z 2) t)) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(* -1 z) |
(neg.f64 z) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 162 |
| 0 | 58 | 133 |
| 1 | 232 | 133 |
| 2 | 3192 | 133 |
| 0 | 9093 | 133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(*.f64 z z) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) t) |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(neg.f64 z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (*.f64 t t) z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(*.f64 t t) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) t) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) z)) (pow.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) t) t) (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) z) (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z)) (/.f64 y x))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) z)) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 t) t) z)) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 y x) t) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) z)))) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) y (*.f64 t (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 t (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (/.f64 (neg.f64 y) x) (*.f64 t (/.f64 (neg.f64 x) y)))) (neg.f64 (*.f64 t (/.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (*.f64 y y) (*.f64 t (*.f64 x x)))) (neg.f64 (*.f64 t (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (/.f64 y x) (*.f64 t (/.f64 x y)))) (neg.f64 (*.f64 t (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (*.f64 (/.f64 y x) y) (*.f64 t x))) (neg.f64 (*.f64 t (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (/.f64 x y)) t (*.f64 y (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 y t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) t))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 x) y) t (*.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (/.f64 (neg.f64 y) x) t))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) t (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) t (*.f64 (*.f64 y y) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (*.f64 y y) t))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) t (*.f64 (/.f64 y x) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (/.f64 y x) t))) |
(/.f64 (neg.f64 (fma.f64 x t (*.f64 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) (neg.f64 (*.f64 (*.f64 (/.f64 y x) y) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 t (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 (neg.f64 y) x) (*.f64 t (/.f64 (neg.f64 x) y)))) (neg.f64 (*.f64 t (/.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x)))) (neg.f64 (*.f64 t (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 y x) (*.f64 t (/.f64 x y)))) (neg.f64 (*.f64 t (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (/.f64 y x) y) (*.f64 t x))) (neg.f64 (*.f64 t (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (neg.f64 y) x) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 (neg.f64 x) y)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (/.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 y x) (*.f64 (*.f64 (neg.f64 t) t) (/.f64 x y)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (neg.f64 t) t) x))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (/.f64 (neg.f64 x) y)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (/.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 y x) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (/.f64 x y)))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x))) (neg.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) y (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) y))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (/.f64 (neg.f64 x) y)))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (/.f64 (neg.f64 y) x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (/.f64 y x) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (/.f64 x y)))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y x) y) (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) x))) (neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 t) t) z) (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 x (/.f64 x y))))) (neg.f64 (*.f64 (*.f64 t t) y))) |
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(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal 1 binary64)) (*.f64 t #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal 1 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 t t)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))) (neg.f64 t)) |
(/.f64 (neg.f64 (/.f64 (/.f64 z t) t)) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) (*.f64 t (*.f64 t #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 z) z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (*.f64 t #s(literal -1 binary64)) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 t) t) z)) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) t) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) |
(/.f64 (/.f64 (neg.f64 z) t) (neg.f64 (/.f64 t z))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (*.f64 t #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t)) |
(/.f64 (neg.f64 z) (/.f64 (*.f64 (neg.f64 t) t) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (/.f64 z t) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 (/.f64 z t) t) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t))) |
(neg.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 z t) z))) |
(neg.f64 (*.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -1 binary64) t))) |
(neg.f64 (/.f64 z (/.f64 (*.f64 (neg.f64 t) t) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 t #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 z t) z) (*.f64 t #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 t z)) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (*.f64 (/.f64 z t) z) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 z (/.f64 (*.f64 (neg.f64 t) t) z))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) x) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 x (/.f64 x y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 (/.f64 x y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) |
(*.f64 (*.f64 x (/.f64 x y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x (/.f64 x y))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 x y))) |
(pow.f64 (/.f64 y (*.f64 x (/.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (/.f64 x (/.f64 y x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (neg.f64 x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 x y)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (/.f64 x (/.f64 y x)) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (*.f64 (/.f64 y x) y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x y))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (/.f64 x y)) y) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) x)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (/.f64 (/.f64 (neg.f64 x) y) (/.f64 y x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 y x) y))) (/.f64 x (neg.f64 (*.f64 (/.f64 y x) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (neg.f64 y))) (/.f64 x (*.f64 (/.f64 y x) (neg.f64 y)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 23 506 to 2 845 computations (87.9% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 101 | 17 | 1 118 |
| Fresh | 12 | 6 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 116 | 26 | 1 142 |
| Status | Accuracy | Program |
|---|---|---|
| 96.1% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| 82.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ▶ | 97.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| 49.7% | (/.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 x (/.f64 x y)))) (*.f64 (*.f64 t t) y)) | |
| 60.8% | (/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) (*.f64 t y))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) | |
| ✓ | 79.4% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 76.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 66.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 72.9% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 77.6% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 52.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) | |
| 48.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 57.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) | |
| 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| ✓ | 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ▶ | 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) | |
| 52.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) | |
| ▶ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
Compiled 1 033 to 691 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) x) | |
| cost-diff | 0 | (/.f64 x (/.f64 (*.f64 y y) x)) | |
| cost-diff | 128 | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) t) z) | |
| cost-diff | 256 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| cost-diff | 384 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| cost-diff | -384 | (/.f64 z (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 210 |
| 0 | 53 | 201 |
| 1 | 88 | 197 |
| 2 | 129 | 197 |
| 3 | 196 | 197 |
| 4 | 292 | 197 |
| 5 | 550 | 197 |
| 6 | 998 | 197 |
| 7 | 2183 | 197 |
| 8 | 2986 | 197 |
| 9 | 3441 | 197 |
| 10 | 4132 | 197 |
| 11 | 4565 | 197 |
| 12 | 4904 | 197 |
| 13 | 5303 | 197 |
| 14 | 5307 | 197 |
| 15 | 5435 | 197 |
| 16 | 5697 | 197 |
| 17 | 6085 | 197 |
| 18 | 6435 | 197 |
| 19 | 6527 | 197 |
| 20 | 6597 | 197 |
| 21 | 6609 | 197 |
| 22 | 6625 | 197 |
| 23 | 6757 | 197 |
| 24 | 6813 | 197 |
| 25 | 6813 | 197 |
| 26 | 6833 | 197 |
| 27 | 6877 | 197 |
| 28 | 6897 | 197 |
| 29 | 6915 | 197 |
| 30 | 6969 | 197 |
| 31 | 6969 | 197 |
| 32 | 6969 | 197 |
| 0 | 6969 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(/.f64 z (*.f64 t t)) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
x |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) t) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/.f64 (neg.f64 z) t) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(/.f64 (*.f64 y y) x) |
(*.f64 (/.f64 y x) y) |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 4.796083661444759 | (/.f64 x (/.f64 (*.f64 y y) x)) | |
| accuracy | 5.493600808803577 | (/.f64 (*.f64 y y) x) | |
| accuracy | 17.330861748155552 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) t) | |
| accuracy | 0.1640625 | (*.f64 (/.f64 #s(literal -1 binary64) t) z) | |
| accuracy | 0.26171875 | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0.16796875 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 4.7104580398627425 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| accuracy | 7.2956782662137325 | (/.f64 z (*.f64 t t)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 y x) y) | |
| accuracy | 0.140625 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) | |
| accuracy | 4.796083661444759 | (/.f64 x (*.f64 (/.f64 y x) y)) |
| 77.0ms | 256× | 0 | valid |
Compiled 395 to 64 computations (83.8% saved)
ival-mult: 24.0ms (56.3% of total)ival-div: 16.0ms (37.5% of total)ival-add: 3.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
(/.f64 #s(literal -1 binary64) t) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(* -1 (/ z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(/ -1 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (* (* (/ -1 t) z) (* (/ -1 t) z)) (* (/ -1 t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (/ y x) (/ (* z z) (* t t))) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (* (* (/ -1 t) z) (* (/ -1 t) z)) (* (/ -1 t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (/ y x) (/ (* z z) (* t t))) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (* (* (/ -1 t) z) (* (/ -1 t) z)) (* (/ -1 t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (/ y x) (/ (* z z) (* t t))) |
| 2.0ms | t | @ | inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (* (* (/ -1 t) z) (* (/ -1 t) z)) (* (/ -1 t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (/ y x) (/ (* z z) (* t t))) |
| 2.0ms | t | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (* (* (/ -1 t) z) (* (/ -1 t) z)) (* (/ -1 t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (+ (/ x (/ (* y y) x)) (/ (* z z) (* t t))) (/ x (/ (* y y) x)) (/ (* y y) x) (* y y) (/ y x) (/ (* z z) (* t t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 129 |
| 1 | 72 | 129 |
| 2 | 210 | 129 |
| 3 | 855 | 129 |
| 4 | 2916 | 129 |
| 5 | 4047 | 129 |
| 6 | 6469 | 129 |
| 0 | 8673 | 124 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(* -1 (/ z t)) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(/ -1 t) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(/ y x) |
(/.f64 y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ t z) |
(/.f64 t z) |
(* -1 (/ z t)) |
(/.f64 (neg.f64 z) t) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 186 |
| 0 | 53 | 155 |
| 1 | 203 | 140 |
| 2 | 2905 | 140 |
| 0 | 8166 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
(/.f64 #s(literal -1 binary64) t) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(/.f64 (*.f64 y y) x) |
(*.f64 y y) |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 x t) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) x)) (pow.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64)))) #s(literal -1 binary64)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 t z) (neg.f64 t))) (/.f64 z (*.f64 (/.f64 t z) (neg.f64 t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) |
Compiled 18 304 to 2 225 computations (87.8% saved)
29 alts after pruning (21 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 755 | 8 | 763 |
| Fresh | 5 | 13 | 18 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 760 | 29 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.1% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
| 82.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ✓ | 97.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| ▶ | 91.1% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
| 50.7% | (/.f64 (fma.f64 (/.f64 z t) (*.f64 y y) (*.f64 (/.f64 t z) (*.f64 x x))) (*.f64 (/.f64 t z) (*.f64 y y))) | |
| 49.7% | (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 t t))) | |
| 39.7% | (/.f64 (fma.f64 z (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (/.f64 t z) t) x)) (*.f64 (*.f64 (/.f64 t z) t) (*.f64 (/.f64 y x) y))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) | |
| ✓ | 79.4% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 76.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 66.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 72.9% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 77.6% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| ▶ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 52.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) | |
| ▶ | 48.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 57.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| ✓ | 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ✓ | 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ▶ | 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
| ✓ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
Compiled 1 065 to 689 computations (35.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) | |
| cost-diff | 384 | (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z t)) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 z) t) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) | |
| cost-diff | -384 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 219 |
| 0 | 58 | 202 |
| 1 | 107 | 202 |
| 2 | 209 | 200 |
| 3 | 513 | 200 |
| 4 | 1317 | 200 |
| 5 | 2380 | 200 |
| 6 | 2908 | 200 |
| 7 | 3186 | 200 |
| 8 | 3248 | 200 |
| 9 | 3253 | 200 |
| 10 | 3358 | 200 |
| 11 | 3464 | 200 |
| 12 | 3464 | 200 |
| 13 | 3568 | 200 |
| 14 | 3926 | 200 |
| 15 | 4338 | 200 |
| 16 | 4392 | 200 |
| 17 | 4392 | 200 |
| 18 | 4392 | 200 |
| 19 | 4416 | 200 |
| 20 | 4444 | 200 |
| 21 | 4548 | 200 |
| 22 | 4548 | 200 |
| 0 | 4548 | 200 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(/.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) |
(/.f64 z t) |
z |
t |
(/.f64 #s(literal 1 binary64) (/.f64 z t)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
x |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(neg.f64 x) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(/.f64 (neg.f64 z) t) |
(neg.f64 z) |
z |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
(/.f64 #s(literal 1 binary64) (/.f64 z t)) |
(/.f64 t z) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
x |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.140625 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) | |
| accuracy | 4.960967395984139 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) | |
| accuracy | 5.340592469716249 | (/.f64 x (*.f64 (neg.f64 y) y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.16796875 | (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) | |
| accuracy | 0.44997517675170606 | (/.f64 #s(literal 1 binary64) (/.f64 z t)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.140625 | (*.f64 (/.f64 (neg.f64 z) t) z) | |
| accuracy | 3.2356982799703493 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 17.330861748155552 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 25.613016124414987 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.109375 | (*.f64 (/.f64 x y) x) | |
| accuracy | 0.140625 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) | |
| accuracy | 3.586626278514372 | (/.f64 (*.f64 (/.f64 x y) x) y) |
| 156.0ms | 256× | 0 | valid |
Compiled 413 to 71 computations (82.8% saved)
ival-mult: 113.0ms (84.3% of total)ival-div: 15.0ms (11.2% of total)ival-add: 3.0ms (2.2% of total)ival-neg: 3.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(/.f64 #s(literal -1 binary64) t) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z t)) |
(/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(/.f64 x y) |
(neg.f64 z) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(* -1 (/ x (pow y 2))) |
(/ x y) |
(* -1 x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(* -1 (pow y 2)) |
(/ z t) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(/ t z) |
(* -1 z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(/ -1 t) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (/ 1 (/ z t)) (/ (/ z t) (/ 1 (/ z t))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (neg z) (* (/ x (* (neg y) y)) (neg x)) (neg x)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (/ 1 (/ z t)) (/ (/ z t) (/ 1 (/ z t))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (neg z) (* (/ x (* (neg y) y)) (neg x)) (neg x)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (/ 1 (/ z t)) (/ (/ z t) (/ 1 (/ z t))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (neg z) (* (/ x (* (neg y) y)) (neg x)) (neg x)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (/ 1 (/ z t)) (/ (/ z t) (/ 1 (/ z t))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (neg z) (* (/ x (* (neg y) y)) (neg x)) (neg x)) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (/ (* (/ x y) x) y)) (/ z t) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (/ 1 (/ z t)) (/ (/ z t) (/ 1 (/ z t))) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (+ (* (/ z t) (/ z t)) (* (/ x (* (neg y) y)) (neg x))) (/ x (* (neg y) y)) (* (neg y) y) (/ x y) (neg z) (* (/ x (* (neg y) y)) (neg x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 140 |
| 1 | 86 | 140 |
| 2 | 242 | 140 |
| 3 | 925 | 140 |
| 4 | 3003 | 140 |
| 5 | 4297 | 140 |
| 6 | 7580 | 140 |
| 0 | 8051 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(* -1 (/ x (pow y 2))) |
(/ x y) |
(* -1 x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(* -1 (pow y 2)) |
(/ z t) |
(pow z 2) |
(* -1 (/ (pow z 2) t)) |
(/ t z) |
(* -1 z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(/ -1 t) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* -1 (/ x (pow y 2))) |
(/.f64 (/.f64 (neg.f64 x) y) y) |
(/ x y) |
(/.f64 x y) |
(* -1 x) |
(neg.f64 x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 y t) z) (*.f64 (/.f64 y t) z) (*.f64 x x)) (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(/ z t) |
(/.f64 z t) |
(pow z 2) |
(*.f64 z z) |
(* -1 (/ (pow z 2) t)) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(/ t z) |
(/.f64 t z) |
(* -1 z) |
(neg.f64 z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 191 |
| 0 | 58 | 157 |
| 1 | 216 | 141 |
| 2 | 2282 | 141 |
| 0 | 8289 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 z t) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(/.f64 #s(literal -1 binary64) t) |
(*.f64 (/.f64 (neg.f64 z) t) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z t)) |
(/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
(/.f64 x (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) y) |
(/.f64 x y) |
(neg.f64 z) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64))) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (neg.f64 y) (*.f64 t (*.f64 (/.f64 (neg.f64 x) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (/.f64 #s(literal 1 binary64) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (neg.f64 y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 (neg.f64 x) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) y))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 x) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (neg.f64 y)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y y)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) y))) |
(*.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 (/.f64 (neg.f64 x) y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (neg.f64 y)))) |
(*.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) y))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) t))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (*.f64 t t) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 t t) (*.f64 (neg.f64 y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 t t)))) |
(*.f64 (+.f64 t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (neg.f64 t) t)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 x x) t (*.f64 (*.f64 y y) (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) t))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (neg.f64 t) t) (*.f64 (*.f64 y y) (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z))) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 t) t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 t t)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 t z) #s(literal -6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (neg.f64 t) t)) |
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(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 x) x))) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 21 014 to 2 477 computations (88.2% saved)
32 alts after pruning (19 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 916 | 4 | 920 |
| Fresh | 1 | 15 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 8 | 8 |
| Total | 917 | 32 | 949 |
| Status | Accuracy | Program |
|---|---|---|
| 88.3% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) | |
| ✓ | 96.1% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
| 82.5% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| ✓ | 97.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| ✓ | 91.1% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
| 49.7% | (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 t t))) | |
| 39.7% | (/.f64 (fma.f64 z (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (/.f64 t z) t) x)) (*.f64 (*.f64 (/.f64 t z) t) (*.f64 (/.f64 y x) y))) | |
| 67.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) | |
| ✓ | 79.4% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 76.6% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 66.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 72.9% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.4% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 77.6% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| ✓ | 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) | |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 52.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) | |
| ✓ | 48.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 57.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| 57.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) | |
| 48.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) | |
| 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| ✓ | 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 57.3% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ✓ | 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 59.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ✓ | 57.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
| ✓ | 59.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
Compiled 1 750 to 635 computations (63.7% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 x (/.f64 x y)))) (*.f64 (*.f64 t t) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) |
(/.f64 (fma.f64 (/.f64 z t) (*.f64 y y) (*.f64 (/.f64 t z) (*.f64 x x))) (*.f64 (/.f64 t z) (*.f64 y y))) |
(/.f64 (fma.f64 z (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (/.f64 t z) t) x)) (*.f64 (*.f64 (/.f64 t z) t) (*.f64 (/.f64 y x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y y)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) (*.f64 t y))) |
(fma.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
11 calls:
| 74.0ms | (*.f64 y y) |
| 42.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 39.0ms | z |
| 27.0ms | (*.f64 t t) |
| 18.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | t |
| 99.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 99.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 99.6% | 1 | (*.f64 x x) |
| 99.6% | 1 | (*.f64 y y) |
| 99.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 99.6% | 1 | (*.f64 z z) |
| 99.6% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (/.f64 (*.f64 x x) y) y)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 x (/.f64 x y)))) (*.f64 (*.f64 t t) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) |
(/.f64 (fma.f64 (/.f64 z t) (*.f64 y y) (*.f64 (/.f64 t z) (*.f64 x x))) (*.f64 (/.f64 t z) (*.f64 y y))) |
(/.f64 (fma.f64 z (*.f64 (/.f64 y x) y) (*.f64 (*.f64 (/.f64 t z) t) x)) (*.f64 (*.f64 (/.f64 t z) t) (*.f64 (/.f64 y x) y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 (pow.f64 t #s(literal -2 binary64)) z) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
11 calls:
| 50.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 42.0ms | (*.f64 x x) |
| 16.0ms | t |
| 15.0ms | (*.f64 z z) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 99.3% | 2 | y |
| 97.0% | 1 | z |
| 97.0% | 1 | t |
| 97.0% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 97.0% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 97.0% | 1 | (*.f64 x x) |
| 98.8% | 2 | (*.f64 y y) |
| 97.0% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 97.0% | 1 | (*.f64 z z) |
| 97.0% | 1 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
11 calls:
| 53.0ms | z |
| 13.0ms | (*.f64 z z) |
| 11.0ms | (*.f64 y y) |
| 10.0ms | t |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | x |
| 97.0% | 1 | z |
| 97.0% | 1 | t |
| 97.0% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 97.0% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 97.0% | 1 | (*.f64 x x) |
| 97.0% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 97.0% | 1 | (*.f64 z z) |
| 97.0% | 1 | (*.f64 t t) |
| 97.0% | 1 | (*.f64 y y) |
| 97.0% | 1 | y |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
11 calls:
| 47.0ms | (*.f64 t t) |
| 28.0ms | z |
| 15.0ms | (*.f64 y y) |
| 10.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 9.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | x |
| 94.4% | 2 | y |
| 92.8% | 1 | z |
| 95.9% | 2 | t |
| 92.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 95.3% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 92.8% | 1 | (*.f64 x x) |
| 94.4% | 2 | (*.f64 y y) |
| 95.9% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 92.8% | 1 | (*.f64 z z) |
| 95.9% | 2 | (*.f64 t t) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) |
4 calls:
| 25.0ms | t |
| 11.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 8.0ms | (*.f64 t t) |
| 7.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 95.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 91.1% | 1 | t |
| 91.1% | 1 | (*.f64 t t) |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
11 calls:
| 27.0ms | (*.f64 x x) |
| 13.0ms | (*.f64 y y) |
| 12.0ms | x |
| 11.0ms | t |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 3 | t |
| 89.5% | 3 | (*.f64 t t) |
| 90.7% | 4 | x |
| 90.1% | 4 | z |
| 88.8% | 3 | (*.f64 x x) |
| 85.8% | 2 | (*.f64 z z) |
| 82.5% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 90.8% | 3 | y |
| 90.8% | 3 | (*.f64 y y) |
| 90.5% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 93.0% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
2 calls:
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 91.2% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
4 calls:
| 8.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 7.0ms | y |
| 6.0ms | (*.f64 y y) |
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 85.7% | 2 | y |
| 85.7% | 2 | (*.f64 y y) |
| 85.8% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
11 calls:
| 21.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 10.0ms | (*.f64 y y) |
| 8.0ms | z |
| 8.0ms | t |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.0% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 76.0% | 2 | y |
| 76.0% | 2 | (*.f64 y y) |
| 73.5% | 2 | (*.f64 z z) |
| 73.5% | 2 | z |
| 74.6% | 2 | (*.f64 x x) |
| 74.6% | 2 | x |
| 74.2% | 2 | t |
| 74.2% | 2 | (*.f64 t t) |
| 80.7% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 t z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 t) z) (neg.f64 t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 #s(literal 1 binary64) (/.f64 z t)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
11 calls:
| 179.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 14.0ms | t |
| 6.0ms | y |
| 6.0ms | z |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | z |
| 59.8% | 1 | (*.f64 z z) |
| 59.8% | 1 | t |
| 59.8% | 1 | (*.f64 t t) |
| 59.8% | 1 | x |
| 59.8% | 1 | (*.f64 x x) |
| 59.8% | 1 | y |
| 59.8% | 1 | (*.f64 y y) |
| 59.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 59.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 59.8% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
11 calls:
| 63.0ms | t |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | z |
| 59.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 59.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 59.8% | 1 | (*.f64 z z) |
| 59.8% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 59.8% | 1 | (*.f64 t t) |
| 59.8% | 1 | t |
| 59.8% | 1 | (*.f64 y y) |
| 59.8% | 1 | y |
| 59.8% | 1 | x |
| 59.8% | 1 | (*.f64 x x) |
Compiled 45 to 61 computations (-35.6% saved)
Total -3.4b remaining (-11.3%)
Threshold costs -3.4b (-11.3%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
11 calls:
| 22.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.9% | 1 | z |
| 52.9% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 52.9% | 1 | (*.f64 z z) |
| 52.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.9% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 52.9% | 1 | (*.f64 t t) |
| 52.9% | 1 | t |
| 52.9% | 1 | (*.f64 y y) |
| 52.9% | 1 | x |
| 52.9% | 1 | y |
| 52.9% | 1 | (*.f64 x x) |
Compiled 45 to 61 computations (-35.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.553828683085979e-244 | 5.291343895251278e-238 |
| 9.0ms | 144× | 0 | valid |
Compiled 270 to 198 computations (26.7% saved)
ival-mult: 3.0ms (54.8% of total)ival-div: 1.0ms (18.3% of total)ival-add: 1.0ms (18.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.4e-322 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9283796660136463e+289 | +inf |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.4349775016492689e+268 | 1.9283796660136463e+289 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.4349775016492689e+268 | 1.9283796660136463e+289 |
Compiled 18 to 18 computations (0% saved)
| 1× | binary-search |
| 1× | predicate-failed |
| Time | Left | Right |
|---|---|---|
| 36.0ms | +inf | NaN |
| 5.0ms | 101× | 0 | invalid |
Compiled 18 to 18 computations (0% saved)
ival-div: 1.0ms (42% of total)ival-mult: 1.0ms (42% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | +inf | NaN |
| 0.0ms | 0.0 | 4.71408403e-316 |
| 5.0ms | 101× | 0 | invalid |
Compiled 18 to 18 computations (0% saved)
ival-div: 1.0ms (44.3% of total)ival-mult: 1.0ms (44.3% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 500 |
| 1 | 92 | 500 |
| 2 | 106 | 496 |
| 3 | 129 | 496 |
| 4 | 168 | 496 |
| 5 | 222 | 496 |
| 6 | 295 | 496 |
| 7 | 422 | 496 |
| 8 | 505 | 496 |
| 9 | 574 | 496 |
| 10 | 606 | 496 |
| 11 | 610 | 496 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal 7132140987364465/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal 7132140987364465/3753758414402350114985578847754628430655879796774751768338949695381315781309615853973705099290165690424277009592352731309591345333151121630880730453319952580019863461295451288668314174944572706159989883958951313077165169522342308559632306943619798833037312 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 (/.f64 x y) x) y)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (*.f64 t t) #s(literal 0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 y y)) x)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) (neg.f64 x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 20000000000000001234556670557343137739887446219260225166201057010776267530793431178850783418889295933886209169029825226206918157086791234347642307073397445710851820421832376437226948606762750725454677192049255448998969251578069606163080224847340840382426515166370261007217790184226520301568 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x (*.f64 y y)) x))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 19999999999999999468764497083204546117550371222456475011874251839742919280488893133880888089537373780302983352459926183803316491680462938820366994786182709264962452269186282141480785836231386584392976978150860083957810243755889397927408415870663269868469457841301749760 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8377 | 33 |
| 0 | 36 | 162 |
| 0 | 58 | 133 |
| 1 | 232 | 133 |
| 2 | 3192 | 133 |
| 0 | 9093 | 133 |
| 0 | 34 | 186 |
| 0 | 53 | 155 |
| 1 | 203 | 140 |
| 2 | 2905 | 140 |
| 0 | 8166 | 140 |
| 0 | 29 | 109 |
| 1 | 60 | 109 |
| 2 | 192 | 109 |
| 3 | 825 | 109 |
| 4 | 2854 | 109 |
| 5 | 3969 | 109 |
| 6 | 6263 | 109 |
| 7 | 7757 | 109 |
| 0 | 8061 | 104 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 432 to 561 computations (60.8% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 140 to 258 computations (77.4% saved)
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