
Time bar (total: 9.8s)
| 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)
| 652.0ms | 8 256× | 0 | valid |
ival-mult: 250.0ms (61.5% of total)ival-div: 96.0ms (23.6% of total)ival-add: 51.0ms (12.5% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 1 | (-9.902461083159305e+146 312503858438.5752 5.686965281791385e-161 -5.798662997914792e-159) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 58 | 0 | - | 1 | (-4.477514157193476e-152 -4.779836815653523e-159 3.247770132691399e+22 1.4962600321699136e-14) | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 1 | (5.5915673848414845e+231 1.6548938462299625e-266 1.8951043520491e-264 6.041480018480704e-309) | 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 | 15 | 0 |
| ↳ | (*.f64 z z) | overflow | 71 | |
| ↳ | (*.f64 t t) | overflow | 64 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 13 | 0 |
| ↳ | (*.f64 t t) | underflow | 56 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 13 | 0 |
| ↳ | (*.f64 x x) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 12 | 0 |
| ↳ | (*.f64 z z) | overflow | 71 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 11 | 0 |
| ↳ | (*.f64 x x) | underflow | 50 | |
| ↳ | (*.f64 y y) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 8 | 0 |
| ↳ | (*.f64 y y) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 7 | 0 |
| ↳ | (*.f64 z z) | underflow | 52 | |
| ↳ | (*.f64 t t) | underflow | 56 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 6 | 0 |
| ↳ | (*.f64 y y) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 6 | 0 |
| ↳ | (*.f64 x x) | overflow | 59 | |
| ↳ | (*.f64 y y) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 5 | 0 |
| ↳ | (*.f64 t t) | overflow | 64 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 5 | 0 |
| ↳ | (*.f64 z z) | underflow | 52 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 2 | 0 |
| ↳ | (*.f64 x x) | underflow | 50 | |
+.f64 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) | oflow-left | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 1 |
| - | 30 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 1 |
| - | 30 | 0 | 154 |
| number | freq |
|---|---|
| 0 | 155 |
| 1 | 98 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 96.0ms | 512× | 0 | valid |
Compiled 199 to 59 computations (70.4% saved)
ival-mult: 13.0ms (60.1% of total)ival-div: 6.0ms (27.8% of total)ival-add: 2.0ms (9.3% 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 |
|---|---|---|
| ▶ | 72.7% | (+.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 x x) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 13.422490457121 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 16.94646148490062 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 72.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-div: 55.0ms (87.8% of total)ival-mult: 6.0ms (9.6% of total)ival-add: 1.0ms (1.6% 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 | |
|---|---|---|---|---|
| 15.0ms | t | @ | 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 | 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× | 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)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 16 | 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 17 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 97.5% | (fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| ▶ | 70.2% | (/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
| 62.9% | (/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) | |
| 83.8% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) | |
| 63.4% | (/.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)) | |
| 68.4% | (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| 82.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 84.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| ▶ | 82.2% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
| ✓ | 72.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 84.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ▶ | 82.2% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
| 78.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 81.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 94.6% | #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))) | |
| ▶ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
Compiled 613 to 421 computations (31.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 z (/.f64 z t)) | |
| cost-diff | 0 | (*.f64 (*.f64 z (/.f64 z t)) y) | |
| cost-diff | 128 | (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) | |
| 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 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| 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 (/.f64 z t) z) t)) | |
| 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 | 41 | 257 |
| 0 | 69 | 227 |
| 1 | 123 | 227 |
| 2 | 269 | 227 |
| 3 | 718 | 227 |
| 4 | 2381 | 227 |
| 5 | 6292 | 227 |
| 0 | 8363 | 226 |
| 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) |
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 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(/.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) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) |
(*.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 z (/.f64 z t)) |
z |
(/.f64 z t) |
t |
y |
(neg.f64 y) |
(*.f64 (*.f64 t (neg.f64 x)) x) |
(*.f64 t (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 t (neg.f64 y)) y) |
(*.f64 t (neg.f64 y)) |
| 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)) |
(*.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 (*.f64 (/.f64 z t) z) t)) |
(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 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(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 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.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) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) |
(neg.f64 (fma.f64 (*.f64 (*.f64 y (/.f64 z t)) y) z (*.f64 (*.f64 x t) x))) |
(*.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 (*.f64 (/.f64 z t) z) y) |
(*.f64 z (/.f64 z t)) |
(*.f64 (/.f64 z t) z) |
z |
(/.f64 z t) |
t |
y |
(neg.f64 y) |
(*.f64 (*.f64 t (neg.f64 x)) x) |
(*.f64 (*.f64 (neg.f64 x) t) x) |
(*.f64 t (neg.f64 x)) |
(*.f64 (neg.f64 x) t) |
(neg.f64 x) |
x |
(*.f64 (*.f64 t (neg.f64 y)) y) |
(*.f64 (*.f64 (neg.f64 y) t) y) |
(*.f64 t (neg.f64 y)) |
(*.f64 (neg.f64 y) t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 (*.f64 t (neg.f64 y)) y) | |
| accuracy | 2.153563690849197 | (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) | |
| accuracy | 6.647161132414972 | (*.f64 (*.f64 z (/.f64 z t)) y) | |
| accuracy | 17.380924646123024 | (/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.08984375 | (*.f64 (neg.f64 z) (/.f64 z t)) | |
| accuracy | 5.530747648753859 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) | |
| accuracy | 13.422490457121 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 z t) z) | |
| accuracy | 5.495591398753859 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| accuracy | 13.422490457121 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.140625 | (/.f64 (/.f64 z t) t) | |
| accuracy | 4.204891781814115 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 27.356046409270434 | #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 | 0.1015625 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0.22884750976844204 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| 295.0ms | 256× | 0 | valid |
Compiled 511 to 82 computations (84% saved)
ival-mult: 54.0ms (69.7% of total)ival-div: 12.0ms (15.5% of total)ival-add: 5.0ms (6.5% of total)ival-pow2: 3.0ms (3.9% of total)ival-neg: 3.0ms (3.9% 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 (*.f64 (/.f64 z t) z) t)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) |
(*.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 z (/.f64 z t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 z t) z) |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(neg.f64 z) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(*.f64 (*.f64 t (neg.f64 y)) y) |
| 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) |
(* -1 (/ (* (pow y 2) (pow z 2)) t)) |
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (* t (pow x 2))) |
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2)))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ (* y (pow z 2)) t) |
(* -1 (* t (pow y 2))) |
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))) |
(/ z t) |
(/ z (pow t 2)) |
(/ (pow z 2) t) |
(* -1 (/ (pow z 2) t)) |
(* -1 z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t)))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t) |
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2)))) |
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | -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) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y)) |
| 7.0ms | 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) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y)) |
| 4.0ms | 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) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y)) |
| 4.0ms | x | @ | 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) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y)) |
| 4.0ms | 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) z) t)) (* x x) (* y y) (/ (* (/ z t) z) t) (* (/ -1 t) (* (neg z) (/ z t))) (+ (/ (* x x) (* y y)) (* (/ -1 t) (* (neg z) (/ z t)))) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (* (/ z t) z) (* (neg z) (/ z t)) (neg z) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y)) (* (* t (neg y)) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 277 |
| 1 | 210 | 270 |
| 2 | 709 | 270 |
| 3 | 3723 | 270 |
| 4 | 5500 | 270 |
| 0 | 8310 | 258 |
| 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) |
(* -1 (/ (* (pow y 2) (pow z 2)) t)) |
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t))) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (* t (pow x 2))) |
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2)))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ (* y (pow z 2)) t) |
(* -1 (* t (pow y 2))) |
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))) |
(/ z t) |
(/ z (pow t 2)) |
(/ (pow z 2) t) |
(* -1 (/ (pow z 2) t)) |
(* -1 z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t)))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t) |
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2)))) |
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 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) |
(* -1 (/ (* (pow y 2) (pow z 2)) t)) |
(*.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (neg.f64 z)) |
(+ (* -1 (* t (pow x 2))) (* -1 (/ (* (pow y 2) (pow z 2)) t))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) 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)) |
(* -1 (* t (pow x 2))) |
(*.f64 (*.f64 (neg.f64 x) t) x) |
(* (pow x 2) (+ (* -1 t) (* -1 (/ (* (pow y 2) (pow z 2)) (* t (pow x 2)))))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x))) |
(/ (+ (/ (* (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) |
(/ (* y (pow z 2)) t) |
(/.f64 (*.f64 (*.f64 z z) y) t) |
(* -1 (* t (pow y 2))) |
(*.f64 (*.f64 y t) (neg.f64 y)) |
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x))) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ (pow z 2) t) |
(/.f64 (*.f64 z z) t) |
(* -1 (/ (pow z 2) t)) |
(*.f64 (/.f64 (neg.f64 z) 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 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t)))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) 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)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) t) |
(/.f64 (fma.f64 (*.f64 (*.f64 x t) t) x (*.f64 (*.f64 (*.f64 y z) y) z)) (neg.f64 t)) |
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2)))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x))) |
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)))) |
(neg.f64 (fma.f64 (*.f64 z (/.f64 (*.f64 y y) t)) z (*.f64 (*.f64 x t) x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 191 |
| 0 | 69 | 150 |
| 1 | 252 | 148 |
| 2 | 2335 | 148 |
| 0 | 8547 | 148 |
| 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 (*.f64 (/.f64 z t) z) t)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) |
(*.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 z (/.f64 z t)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 z t) z) |
(*.f64 (neg.f64 z) (/.f64 z t)) |
(neg.f64 z) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(*.f64 (*.f64 t (neg.f64 y)) y) |
| 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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 z t)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 z t) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 x y)))) |
(*.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 y t)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 (neg.f64 y) y)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 y t)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 y) y)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (*.f64 (neg.f64 y) t)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (*.f64 (neg.f64 y) t)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) y) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) t))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) y) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 y t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64))) t) (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 y t))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) t) (/.f64 (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) t)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 (neg.f64 y) t)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) y)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 x t) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 t #s(literal 3 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y t))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) y) (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) t) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 y t)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)) (pow.f64 (/.f64 y (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) y)) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (neg.f64 y) t)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #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))) |
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(-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 (neg.f64 y) t) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 z t) #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 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (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))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (*.f64 y t) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) y) t) |
(*.f64 (*.f64 (neg.f64 y) t) y) |
(*.f64 (neg.f64 y) (*.f64 y t)) |
(*.f64 y (*.f64 (neg.f64 y) t)) |
(*.f64 t (*.f64 (neg.f64 y) y)) |
(neg.f64 (*.f64 (*.f64 y t) y)) |
(neg.f64 (*.f64 (*.f64 y y) t)) |
Compiled 24 414 to 2 934 computations (88% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 038 | 18 | 1 056 |
| Fresh | 7 | 4 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 049 | 24 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
| 84.6% | (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 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))) | |
| 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| 49.7% | (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| 82.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 72.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 81.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 94.6% | #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))) | |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ▶ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) | |
| 52.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ▶ | 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) |
Compiled 1 016 to 680 computations (33.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) y) x) | |
| cost-diff | 0 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| cost-diff | 128 | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 z (/.f64 t (/.f64 z t))) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| cost-diff | 384 | (/.f64 t (/.f64 z t)) | |
| 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 y x) | |
| cost-diff | 0 | (pow.f64 (/.f64 y x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 234 |
| 0 | 57 | 228 |
| 1 | 92 | 227 |
| 2 | 135 | 225 |
| 3 | 274 | 225 |
| 4 | 523 | 225 |
| 5 | 1005 | 225 |
| 6 | 2294 | 225 |
| 7 | 3107 | 225 |
| 8 | 3343 | 225 |
| 9 | 3627 | 225 |
| 10 | 4380 | 225 |
| 11 | 5211 | 225 |
| 12 | 5764 | 225 |
| 13 | 6080 | 225 |
| 14 | 6273 | 225 |
| 15 | 6389 | 225 |
| 16 | 6399 | 225 |
| 17 | 6411 | 225 |
| 18 | 6411 | 225 |
| 19 | 6467 | 225 |
| 20 | 6491 | 225 |
| 21 | 6491 | 225 |
| 22 | 6491 | 225 |
| 0 | 6491 | 221 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#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 z (/.f64 t (/.f64 z t)))) |
(/.f64 z (/.f64 t (/.f64 z t))) |
z |
(/.f64 t (/.f64 z t)) |
t |
(/.f64 z t) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.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)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
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) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(/.f64 z t) |
z |
t |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 y x) |
y |
x |
#s(literal -2 binary64) |
#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 z (/.f64 t (/.f64 z t)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 z (/.f64 t (/.f64 z t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
z |
(/.f64 t (/.f64 z t)) |
(/.f64 (*.f64 t t) z) |
t |
(/.f64 z t) |
#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 (/.f64 z t) t) z)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) |
(*.f64 (/.f64 z t) z) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
z |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x))) |
#s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
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 | #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| accuracy | 0.11328125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 3.580618766174082 | (*.f64 (/.f64 (/.f64 x y) y) x) | |
| accuracy | 16.94646148490062 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 5.495591398753859 | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) | |
| accuracy | 6.498941540234605 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) | |
| accuracy | 27.356046409270434 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.15234375 | (/.f64 t (/.f64 z t)) | |
| accuracy | 3.765019586952889 | (/.f64 z (/.f64 t (/.f64 z t))) | |
| accuracy | 27.356046409270434 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 4.204891781814115 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| accuracy | 7.598787443649852 | (/.f64 z (*.f64 t t)) | |
| accuracy | 27.356046409270434 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) | |
| accuracy | 0.2223625488422101 | (pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
| 251.0ms | 256× | 0 | valid |
Compiled 428 to 69 computations (83.9% saved)
ival-div: 192.0ms (90.7% of total)ival-mult: 13.0ms (6.1% of total)ival-pow: 3.0ms (1.4% of total)ival-add: 2.0ms (0.9% of total)ival-neg: 1.0ms (0.5% 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 y x) #s(literal -2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 y x) |
#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 t (/.f64 z t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
(/.f64 z (/.f64 t (/.f64 z t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) 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)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) |
(/.f64 #s(literal -1 binary64) t) |
(+.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)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(neg.f64 z) |
(/.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)) |
(/ y x) |
(/ x (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)) |
(/ z t) |
(/ z (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow z 2) t) |
(* -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 | |
|---|---|---|---|---|
| 6.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t))) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t))) |
| 2.0ms | t | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t))) |
| 2.0ms | t | @ | inf | ((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ y x) -2)) (/ z t) (pow (/ y x) -2) (/ y x) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (* t t) (/ z (* t t)) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ z (/ t (/ z t))) (* (/ -1 t) (* (neg z) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* (/ -1 t) (* (neg z) z)) t) (/ -1 t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* (/ (/ x y) y) x) (/ (/ x y) y) (neg z) (/ (* z z) (* t t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 131 |
| 1 | 71 | 131 |
| 2 | 205 | 131 |
| 3 | 846 | 131 |
| 4 | 2911 | 131 |
| 5 | 4025 | 131 |
| 6 | 6402 | 131 |
| 0 | 8128 | 126 |
| 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)) |
(/ y x) |
(/ x (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)) |
(/ z t) |
(/ z (pow t 2)) |
(/ (pow t 2) z) |
(/ (pow z 2) t) |
(* -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 x y) (/.f64 x y) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ y x) |
(/.f64 y x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (*.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)) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z 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 x y) (/.f64 x y) (*.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 (*.f64 t t) y) x) (/.f64 x y) (*.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 | 202 |
| 0 | 57 | 171 |
| 1 | 203 | 154 |
| 2 | 2206 | 154 |
| 0 | 8230 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/.f64 y x) |
#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 t (/.f64 z t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
(/.f64 z (/.f64 t (/.f64 z t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) 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)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t) |
(/.f64 #s(literal -1 binary64) t) |
(+.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)) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 (/.f64 x y) y) |
(neg.f64 z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
| 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 z t) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #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 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #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 (neg.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) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))))) |
(*.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 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t #s(literal 1 binary64))) (/.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 (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) (*.f64 y y) (*.f64 t (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 t (*.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 (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (pow.f64 (/.f64 t z) #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))))) |
(*.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) (*.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 (*.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 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.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 (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 (*.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 (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) (*.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 (neg.f64 z) y (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) y))) |
(*.f64 (fma.f64 (neg.f64 z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) y) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 y y)))) |
(*.f64 (fma.f64 z y (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t t) z) y))) |
(*.f64 (fma.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (*.f64 t t) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 z (*.f64 y y) (*.f64 (/.f64 (*.f64 t t) z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 t t) z) (*.f64 y y)))) |
(*.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) (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 (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) (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 t (/.f64 (neg.f64 z) t))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 t t) z) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 (*.f64 t t) z)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) 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 (+.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 #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 (fma.f64 (/.f64 t z) (neg.f64 t) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 t (/.f64 (neg.f64 z) t))))) |
(*.f64 (fma.f64 (/.f64 t z) t (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (*.f64 t t) z)))) |
(*.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) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.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 (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) (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 t (/.f64 (neg.f64 z) t))))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 t t) z) (*.f64 (*.f64 (neg.f64 y) y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 t t) z)))) |
(*.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) (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 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) (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (*.f64 y y) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 t (/.f64 (neg.f64 z) t))))) |
(*.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 t t) z) (*.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 (*.f64 t t) z)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 y x) #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 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 x y) #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 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 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 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 y x) #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 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))))) |
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(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 y x) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y)) |
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 x y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 x (*.f64 y y)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 x (*.f64 (neg.f64 y) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) z))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) z))) |
(/.f64 (*.f64 z z) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(*.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64)) (*.f64 z z)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) z) (*.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(*.f64 (neg.f64 (neg.f64 z)) (/.f64 (/.f64 z t) t)) |
(*.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) z))) |
(*.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (/.f64 z t) t)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t #s(literal -1 binary64)) t))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) z))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 z t) t)) |
(*.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z)) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 z)) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (*.f64 z z) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) z))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(*.f64 #s(literal -1 binary64) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t)))) |
(*.f64 (/.f64 (/.f64 z t) t) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 z t))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t z) #s(literal -2 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64))) (/.f64 (*.f64 t t) z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z))) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (/.f64 t (/.f64 (neg.f64 z) t))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 t (/.f64 (neg.f64 z) t))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (/.f64 t (/.f64 (neg.f64 z) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z))) (/.f64 (*.f64 t t) z)) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)) t) |
(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t (/.f64 (neg.f64 z) t))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 t t) z)) |
(/.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 t (/.f64 (neg.f64 z) t))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (*.f64 t #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 (*.f64 (/.f64 z t) z) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 z) t) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (*.f64 (/.f64 z t) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t t) z) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) t) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 (neg.f64 z) t)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 t t) z) (*.f64 #s(literal 1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (/.f64 z t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 t z) #s(literal 2 binary64))) |
(/.f64 (/.f64 (neg.f64 z) t) (neg.f64 (/.f64 t z))) |
(/.f64 (*.f64 z z) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 z) (/.f64 t (/.f64 (neg.f64 z) t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(neg.f64 (*.f64 (*.f64 (neg.f64 z) z) (pow.f64 t #s(literal -2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t)) |
(neg.f64 (/.f64 z (/.f64 t (/.f64 (neg.f64 z) t)))) |
(-.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 (neg.f64 z) z) (pow.f64 t #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 t t) z)) (/.f64 z (/.f64 t (/.f64 (neg.f64 z) 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 z t) #s(literal 2 binary64)))) |
Compiled 23 078 to 2 636 computations (88.6% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 939 | 8 | 947 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 944 | 27 | 971 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (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))) | |
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 49.7% | (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| 82.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 72.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 83.8% | (+.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 81.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 94.6% | #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))) | |
| ▶ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
| 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t)) | |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
| ▶ | 52.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ✓ | 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ▶ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) | |
| 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
Compiled 1 090 to 724 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| 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 | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 (*.f64 z z) t) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 z z) t) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) | |
| 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 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 197 |
| 0 | 50 | 188 |
| 1 | 77 | 188 |
| 2 | 122 | 188 |
| 3 | 235 | 188 |
| 4 | 450 | 188 |
| 5 | 1260 | 188 |
| 6 | 1548 | 188 |
| 7 | 1618 | 188 |
| 8 | 1702 | 188 |
| 9 | 1859 | 188 |
| 10 | 2316 | 188 |
| 11 | 2568 | 188 |
| 12 | 2665 | 188 |
| 13 | 2686 | 188 |
| 14 | 2689 | 188 |
| 15 | 2689 | 188 |
| 16 | 2689 | 188 |
| 0 | 2689 | 188 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.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 (*.f64 z z) t) t)) |
(/.f64 (/.f64 (*.f64 z z) t) t) |
(/.f64 (*.f64 z z) t) |
(*.f64 z z) |
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))) |
(*.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 |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 z t) |
z |
t |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 (*.f64 z z) t) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (*.f64 z z) t) |
(*.f64 (/.f64 z t) z) |
(*.f64 z z) |
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 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 |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| accuracy | 13.422490457121 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.08984375 | (*.f64 (/.f64 (neg.f64 z) t) z) | |
| accuracy | 5.530747648753859 | (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z)) | |
| accuracy | 27.356046409270434 | #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 | 5.495591398753859 | (/.f64 (/.f64 (*.f64 z z) t) t) | |
| accuracy | 6.483316540234603 | (/.f64 (*.f64 z z) t) | |
| accuracy | 27.356046409270434 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (*.f64 t t) | |
| accuracy | 16.94646148490062 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 27.356046409270434 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| accuracy | 0.22884750976844204 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 56.0ms | 256× | 0 | valid |
Compiled 371 to 60 computations (83.8% saved)
ival-div: 15.0ms (44.5% of total)ival-mult: 14.0ms (41.5% of total)ival-add: 3.0ms (8.9% of total)ival-neg: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 z t) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
#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)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(/.f64 (/.f64 (*.f64 z z) t) t) |
(/.f64 (*.f64 z z) 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) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 x x) |
(*.f64 y y) |
(neg.f64 z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
| 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) |
(* (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) |
(pow z 2) |
(/ (pow z 2) t) |
(* -1 (/ (pow z 2) t)) |
(* -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 | |
|---|---|---|---|---|
| 4.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ (* z z) t) t) (/ (* z z) t) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (neg z) (/ (* x x) (* y y))) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ (* z z) t) t) (/ (* z z) t) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (neg z) (/ (* x x) (* y y))) |
| 2.0ms | t | @ | inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ (* z z) t) t) (/ (* z z) t) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (neg z) (/ (* x x) (* y y))) |
| 2.0ms | t | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ (* z z) t) t) (/ (* z z) t) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (neg z) (/ (* x x) (* y y))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y))) (/ z t) (* (/ x y) (/ x y)) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ (* z z) t) t) (/ (* z z) t) (* (/ -1 t) (* (/ (neg z) t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ -1 t) (* (/ (neg z) t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (neg z) (/ (* x x) (* y y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 131 |
| 1 | 73 | 131 |
| 2 | 211 | 131 |
| 3 | 862 | 131 |
| 4 | 2908 | 131 |
| 5 | 4174 | 131 |
| 6 | 7297 | 131 |
| 0 | 8074 | 126 |
| 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) |
(* (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) |
(pow z 2) |
(/ (pow z 2) t) |
(* -1 (/ (pow z 2) t)) |
(* -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 (/.f64 x y) y) x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ x y) |
(/.f64 x y) |
(pow x 2) |
(*.f64 x 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 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) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) t) |
(*.f64 (/.f64 z t) z) |
(* -1 (/ (pow z 2) t)) |
(*.f64 (/.f64 (neg.f64 z) 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 (/.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 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 172 |
| 0 | 50 | 132 |
| 1 | 158 | 132 |
| 2 | 1938 | 132 |
| 0 | 8241 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/.f64 z t) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
#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)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
(/.f64 (/.f64 (*.f64 z z) t) t) |
(/.f64 (*.f64 z z) 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) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 x x) |
(*.f64 y y) |
(neg.f64 z) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
| 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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 x y) (/.f64 z t)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (/.f64 z t) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 x y)))) |
(*.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 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 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.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 6 binary64)) (pow.f64 (/.f64 z t) #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 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #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 (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 (*.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) (pow.f64 (/.f64 y x) #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 y x) #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 (/.f64 (neg.f64 z) t) z) y (*.f64 (neg.f64 t) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) y))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 t) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) (*.f64 t #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (*.f64 y y) (*.f64 (neg.f64 t) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (*.f64 y y)))) |
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (/.f64 x y) x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y))) |
(*.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))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 (neg.f64 y) y)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #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 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) (*.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 (/.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)))) |
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(*.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y x)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) x) |
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 x (pow.f64 x #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)) (/.f64 (/.f64 x y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 x y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1 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 (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 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) x))) (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 (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 y (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (*.f64 (neg.f64 y) 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 y (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 x) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x (/.f64 (*.f64 y y) x)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x y))) |
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 x (neg.f64 y)) (/.f64 x 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 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
Compiled 20 107 to 2 302 computations (88.6% saved)
27 alts after pruning (17 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 893 | 1 | 894 |
| Fresh | 1 | 16 | 17 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 894 | 27 | 921 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (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))) | |
| ✓ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) | |
| 49.7% | (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) | |
| 82.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 72.7% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.5% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 81.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.5% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 94.6% | #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))) | |
| ✓ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
| 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z (/.f64 t z)) t)) | |
| 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 56.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 54.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) z)) t)) |
| ✓ | 52.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) | |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 z)) t) z)) | |
| ✓ | 52.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ✓ | 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (/.f64 (neg.f64 z) t) z))) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) | |
| 52.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
Compiled 1 507 to 567 computations (62.4% 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 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 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#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 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 y x) #s(literal -2 binary64))) |
(fma.f64 z (*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (+.f64 y (*.f64 (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) x) (/.f64 x y))) (*.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
11 calls:
| 22.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 18.0ms | y |
| 16.0ms | (*.f64 x x) |
| 15.0ms | x |
| 14.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 99.7% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 99.7% | 1 | (*.f64 x x) |
| 99.7% | 1 | (*.f64 y y) |
| 99.7% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 99.7% | 1 | (*.f64 z z) |
| 99.7% | 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 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 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#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 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y (/.f64 y x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) y (*.f64 t (*.f64 x x)))) (*.f64 (*.f64 t (neg.f64 y)) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
11 calls:
| 13.0ms | (*.f64 y y) |
| 13.0ms | y |
| 12.0ms | z |
| 12.0ms | (*.f64 z z) |
| 11.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 99.7% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 99.7% | 1 | (*.f64 x x) |
| 99.7% | 1 | (*.f64 y y) |
| 99.7% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 99.7% | 1 | (*.f64 z z) |
| 99.7% | 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 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 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#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 x) (*.f64 y y))) |
#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:
| 138.0ms | (*.f64 z z) |
| 67.0ms | x |
| 39.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 9.0ms | t |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | x |
| 94.6% | 1 | y |
| 94.6% | 1 | z |
| 94.6% | 1 | t |
| 94.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 96.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 94.6% | 1 | (*.f64 x x) |
| 94.6% | 1 | (*.f64 y y) |
| 94.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 94.6% | 1 | (*.f64 z z) |
| 94.6% | 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 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 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(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))) |
11 calls:
| 46.0ms | x |
| 37.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 8.0ms | t |
| 8.0ms | z |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | z |
| 90.7% | 3 | t |
| 87.2% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 90.3% | 3 | (*.f64 y y) |
| 90.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 88.4% | 3 | (*.f64 z z) |
| 90.7% | 3 | (*.f64 t t) |
| 90.4% | 3 | x |
| 90.3% | 3 | y |
| 90.4% | 3 | (*.f64 x x) |
| 90.9% | 2 | (/.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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) |
2 calls:
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 6.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 89.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t 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 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) |
11 calls:
| 49.0ms | y |
| 32.0ms | t |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 81.4% | 2 | (*.f64 z z) |
| 81.8% | 2 | z |
| 85.3% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 85.8% | 3 | y |
| 85.3% | 3 | (*.f64 y y) |
| 82.8% | 2 | (*.f64 x x) |
| 82.8% | 2 | x |
| 80.2% | 2 | (*.f64 t t) |
| 80.5% | 2 | t |
| 87.0% | 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)) |
9 calls:
| 26.0ms | (*.f64 x x) |
| 6.0ms | x |
| 6.0ms | z |
| 6.0ms | y |
| 6.0ms | (*.f64 z z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 2 | (*.f64 z z) |
| 69.1% | 2 | z |
| 68.9% | 2 | x |
| 68.9% | 2 | (*.f64 x x) |
| 74.2% | 2 | (*.f64 y y) |
| 74.2% | 2 | y |
| 74.6% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 57.2% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 82.3% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 41 to 52 computations (-26.8% 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 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 z (/.f64 t z)) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) t) t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) 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))) |
#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)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
10 calls:
| 59.0ms | y |
| 37.0ms | (*.f64 x x) |
| 5.0ms | t |
| 5.0ms | x |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.0% | 2 | x |
| 59.0% | 2 | (*.f64 x x) |
| 57.2% | 1 | z |
| 57.2% | 1 | (*.f64 z z) |
| 57.2% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 61.2% | 2 | y |
| 61.2% | 2 | (*.f64 y y) |
| 57.2% | 1 | (*.f64 t t) |
| 57.2% | 1 | t |
| 60.8% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 30 to 50 computations (-66.7% 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 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 t (/.f64 z t)))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
2 calls:
| 4.0ms | y |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.2% | 2 | y |
| 61.2% | 2 | (*.f64 y y) |
Compiled 4 to 9 computations (-125% 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 z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (*.f64 y y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 2 | y |
| 60.9% | 2 | (*.f64 y y) |
Compiled 4 to 9 computations (-125% 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))) |
| Outputs |
|---|
#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 (*.f64 t t)) z)) |
11 calls:
| 23.0ms | y |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | x |
| 1.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 52.6% | 1 | z |
| 52.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 52.6% | 1 | (*.f64 z z) |
| 52.6% | 1 | t |
| 52.6% | 1 | (*.f64 t t) |
| 52.6% | 1 | x |
| 52.6% | 1 | (*.f64 x x) |
| 52.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 54.6% | 2 | y |
| 54.6% | 2 | (*.f64 y y) |
Compiled 45 to 61 computations (-35.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
4 calls:
| 60.0ms | y |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (*.f64 y y) |
| 1.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 52.6% | 1 | (*.f64 x x) |
| 52.6% | 1 | y |
| 52.6% | 1 | (*.f64 y y) |
Compiled 14 to 21 computations (-50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1868730190762995e-16 | 0.0007196163181132771 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.517208450393687e+58 | 2.3408659370569885e+69 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 8.511945727368459e-190 | 1.9337697916459877e-189 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 8.517208450393687e+58 | 2.3408659370569885e+69 |
Compiled 18 to 18 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 6.41863719570092e-292 | 4.4324086273638706e-291 |
| 6.0ms | 96× | 0 | valid |
Compiled 294 to 210 computations (28.6% saved)
ival-mult: 2.0ms (58.9% of total)ival-div: 1.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 6.41863719570092e-292 | 4.4324086273638706e-291 |
| 2.0ms | 32× | 0 | valid |
Compiled 294 to 204 computations (30.6% saved)
ival-mult: 1.0ms (89.1% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.3159732971096787e-233 | 6.1958817730631095e-233 |
| 30.0ms | 96× | 0 | valid |
Compiled 294 to 204 computations (30.6% saved)
ival-add: 24.0ms (87.2% of total)ival-mult: 2.0ms (7.3% of total)ival-div: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 7.461258878409036e-264 | 3.1898254637456795e-263 |
| 6.0ms | 96× | 0 | valid |
Compiled 294 to 210 computations (28.6% saved)
ival-mult: 2.0ms (58.9% of total)ival-div: 1.0ms (29.5% 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 604 |
| 1 | 127 | 604 |
| 2 | 159 | 604 |
| 3 | 204 | 604 |
| 4 | 230 | 604 |
| 5 | 244 | 604 |
| 6 | 250 | 604 |
| 7 | 252 | 604 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 2028240960365167/10141204801825835211973625643008 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))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (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)))) |
(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 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 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 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))) |
(if (<=.f64 (*.f64 y y) #s(literal 1334225373530625/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (*.f64 y y) #s(literal 5056011941800263/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (*.f64 y y) #s(literal 2349285087062399/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #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)))) |
(if (<=.f64 (*.f64 y y) #s(literal 850877900206251/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) #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 (*.f64 t t)) z))) |
#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) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y x)))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 2028240960365167/10141204801825835211973625643008 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))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (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)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(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 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z))) |
(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 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 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 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 5016456510113119/5016456510113118655434598811035278955030765345404790744303017523831112055108147451509157692220295382716162651878526895249385292291816524375083746691371804094271873160484737966720260389217684476157468082176 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 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t (neg.f64 y)) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) (/.f64 #s(literal -1 binary64) t)) z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 99999999999999997168788049560464200849936328366177157906432 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 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 (neg.f64 y) t) y)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z t)) (neg.f64 z))))) |
(if (<=.f64 (*.f64 y y) #s(literal 1334225373530625/1404447761611184302913519680303925573139044514798677009948672509044786529730476274474284979081308875165000889686495260606709295068862629863225370551870891596701311667381761603721111090634735110308227210563164107569048052205800491261514946176100212790338675864723330454999587858894372783631526221325189251072 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (*.f64 y y) #s(literal 5056011941800263/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 (*.f64 z z) t) t)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (*.f64 y y) #s(literal 2349285087062399/111870718431542817204760874740917337854381793641291611443130662899652593770909781872442516663377454591520935582886717656540612737332317877736113382974861639142628415265543797274479692427652260844707187532155254872952853725026318685997495262134665216 binary64)) #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)))) |
(if (<=.f64 (*.f64 y y) #s(literal 850877900206251/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 binary64)) #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 (*.f64 t t)) z))) |
#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 | 33 | 172 |
| 0 | 50 | 132 |
| 1 | 158 | 132 |
| 2 | 1938 | 132 |
| 0 | 8241 | 132 |
| 0 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8377 | 33 |
| 0 | 37 | 202 |
| 0 | 57 | 171 |
| 1 | 203 | 154 |
| 2 | 2206 | 154 |
| 0 | 8230 | 154 |
| 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 |
| 0 | 70 | 277 |
| 1 | 210 | 270 |
| 2 | 709 | 270 |
| 3 | 3723 | 270 |
| 4 | 5500 | 270 |
| 0 | 8310 | 258 |
| 0 | 41 | 191 |
| 0 | 69 | 150 |
| 1 | 252 | 148 |
| 2 | 2335 | 148 |
| 0 | 8547 | 148 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 536 to 672 computations (56.3% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 516 to 418 computations (72.4% saved)
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