
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 665.0ms | 8 256× | 0 | valid |
ival-mult: 267.0ms (63.4% of total)ival-div: 109.0ms (25.9% of total)ival-add: 35.0ms (8.3% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 0 | - | 0 | - | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 63 | 0 | - | 1 | (-4.0397835717673415e+282 3.3754932401288996e+298 -6.698010051049408e-131 3.306940422962261e-160) | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 z z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 18 | 0 |
| ↳ | (*.f64 x x) | underflow | 66 | |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 17 | 0 |
| ↳ | (*.f64 x x) | overflow | 68 | |
| ↳ | (*.f64 y y) | overflow | 73 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 13 | 0 |
| ↳ | (*.f64 z z) | overflow | 59 | |
| ↳ | (*.f64 t t) | overflow | 64 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 10 | 0 |
| ↳ | (*.f64 y y) | overflow | 73 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 10 | 0 |
| ↳ | (*.f64 z z) | underflow | 55 | |
| ↳ | (*.f64 t t) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 10 | 0 |
| ↳ | (*.f64 x x) | overflow | 68 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 9 | 0 |
| ↳ | (*.f64 t t) | underflow | 68 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 6 | 0 |
| ↳ | (*.f64 t t) | overflow | 64 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 6 | 0 |
| ↳ | (*.f64 z z) | underflow | 55 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 6 | 0 |
| ↳ | (*.f64 x x) | underflow | 66 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/u | 5 | 0 |
| ↳ | (*.f64 y y) | underflow | 54 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 5 | 0 |
| ↳ | (*.f64 z z) | overflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 91 | 5 |
| - | 18 | 142 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 91 | 0 | 5 |
| - | 18 | 0 | 142 |
| number | freq |
|---|---|
| 0 | 147 |
| 1 | 103 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-add: 16.0ms (45.6% of total)ival-mult: 13.0ms (37% of total)ival-div: 5.0ms (14.2% 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 | 3969 | 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 | 6465 | 214 |
| 15 | 6645 | 214 |
| 16 | 6805 | 214 |
| 17 | 6869 | 214 |
| 18 | 6869 | 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 |
|---|---|---|
| ▶ | 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 31 | 45 |
| 2 | 43 | 45 |
| 3 | 43 | 45 |
| 0 | 43 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 14.632088040649466 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 18.498287979070483 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 45.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 6.0ms (55.5% of total)ival-div: 3.0ms (27.7% of total)ival-add: 2.0ms (18.5% 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 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.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 | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | x | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | x | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | z | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* t t)) |
| 1.0ms | t | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* x x) (* y y) (* z z) (/ (* x x) (* y y)) (/ (* z z) (* t t)) (* 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 | 8399 | 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 x x) (*.f64 y y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.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)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (neg.f64 t)) t) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t (neg.f64 (neg.f64 t))) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
Compiled 8 601 to 1 111 computations (87.1% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 404 | 23 | 427 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 404 | 24 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
| 89.1% | (fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| ▶ | 65.5% | (/.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)) |
| 69.5% | (/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) | |
| 57.6% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) | |
| 80.5% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) | |
| 25.9% | (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (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)))) | |
| 65.8% | (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))))) | |
| 69.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) | |
| ▶ | 83.5% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.1% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 76.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| 74.9% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 68.1% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
| 76.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 74.3% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 83.5% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 80.1% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 79.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.2% | #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))) | |
| 68.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| ▶ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
Compiled 897 to 607 computations (32.3% 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 z z) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 128 | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 (/.f64 z t) t) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 242 |
| 0 | 69 | 218 |
| 1 | 122 | 218 |
| 2 | 225 | 218 |
| 3 | 539 | 218 |
| 4 | 1885 | 218 |
| 5 | 6281 | 218 |
| 0 | 8515 | 217 |
| 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 z (/.f64 (*.f64 t t) z))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (/.f64 (*.f64 t t) z)) |
z |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(/.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 z (/.f64 (*.f64 t t) z))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
z |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
(/.f64 y x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
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)) z) y (*.f64 (*.f64 x t) x))) |
(*.f64 (*.f64 z (/.f64 z t)) y) |
(*.f64 (*.f64 y (/.f64 z t)) z) |
(*.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 | 0.12890625 | (*.f64 z (/.f64 z t)) | |
| accuracy | 1.9327397186674218 | (fma.f64 (*.f64 (*.f64 z (/.f64 z t)) y) (neg.f64 y) (*.f64 (*.f64 t (neg.f64 x)) x)) | |
| accuracy | 5.041316201710427 | (*.f64 (*.f64 z (/.f64 z t)) y) | |
| accuracy | 20.499843052772214 | (/.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 | 0.0 | (*.f64 t t) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.17578125 | (/.f64 (/.f64 x y) (/.f64 y x)) | |
| accuracy | 14.632088040649466 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| accuracy | 3.726784636366551 | (/.f64 z (/.f64 (*.f64 t t) z)) | |
| accuracy | 6.852734143738278 | (/.f64 (*.f64 t t) z) | |
| accuracy | 18.498287979070483 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.12109375 | (/.f64 (/.f64 z t) t) | |
| accuracy | 3.7893030674650787 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 26.24590966486509 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) | |
| accuracy | 0.21484375 | (pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
| 152.0ms | 256× | 0 | valid |
Compiled 481 to 79 computations (83.6% saved)
ival-neg: 72.0ms (59.3% of total)ival-div: 24.0ms (19.8% of total)ival-mult: 18.0ms (14.8% of total)ival-add: 5.0ms (4.1% of total)ival-pow2: 2.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(*.f64 z z) |
(fma.f64 (*.f64 (*.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 t t) z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(*.f64 t 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)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ x y) |
(pow x 2) |
(/ y x) |
(* -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) |
(* (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) |
(/ (pow z 2) t) |
(/ (pow t 2) 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) |
(pow t 2) |
(* 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 | |
|---|---|---|---|---|
| 63.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y))) |
| 6.0ms | z | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y))) |
| 5.0ms | x | @ | 0 | ((+ (* (/ z t) (/ z t)) (pow (/ x y) 2)) (/ z t) (pow (/ x y) 2) (/ x y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ (/ z t) t) z) (/ (/ z t) t) (+ (/ (* x x) (* y y)) (/ z (/ (* t t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* 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 t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* 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 t) z))) (* x x) (* y y) (/ z (/ (* t t) z)) (+ (/ (/ x y) (/ y x)) (/ (* z z) (* t t))) (/ y x) (* z z) (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* z (/ z t)) y) (* z (/ z t)) (/ (* x x) (* y y)) (/ (* t t) z) (/ (* z z) (* t t)) (/ (/ x y) (/ y x)) (* t t) (/ (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (* (* t (neg y)) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 277 |
| 1 | 203 | 270 |
| 2 | 697 | 270 |
| 3 | 3712 | 270 |
| 4 | 5484 | 270 |
| 0 | 8057 | 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) |
(/ y x) |
(* -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) |
(* (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) |
(/ (pow z 2) t) |
(/ (pow t 2) 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) |
(pow t 2) |
(* 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) |
(/ y x) |
(/.f64 y 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 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
(* (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 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
(/ (+ (/ (* (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) |
(* (pow y 2) (+ (* -1 (/ (* t (pow x 2)) (pow y 2))) (* -1 (/ (pow z 2) t)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(pow z 2) |
(*.f64 z z) |
(/ (pow z 2) t) |
(/.f64 (*.f64 z z) t) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(* (pow z 2) (+ (* -1 (/ (* t (pow x 2)) (pow z 2))) (* -1 (/ (pow y 2) t)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
(/ (+ (/ (* (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 z z) y) y (*.f64 (*.f64 (*.f64 x x) t) t)) (neg.f64 t)) |
(pow t 2) |
(*.f64 t t) |
(* t (+ (* -1 (/ (* (pow y 2) (pow z 2)) (pow t 2))) (* -1 (pow x 2)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
(* -1 (* t (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y z) y) t) z (*.f64 (*.f64 x x) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 187 |
| 0 | 69 | 150 |
| 1 | 259 | 150 |
| 2 | 2954 | 150 |
| 0 | 9153 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 z t) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 (/.f64 z t) t) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 y x) |
(*.f64 z z) |
(fma.f64 (*.f64 (*.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 t t) z) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(*.f64 t 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)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z 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 y #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) t) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 z t) z) y) y) (*.f64 (*.f64 (neg.f64 x) t) x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 y) t) #s(literal -1 binary64)) (pow.f64 (/.f64 y (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) t) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) t) y) #s(literal -1 binary64)) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x))) (pow.f64 (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z)) (pow.f64 (*.f64 (*.f64 (/.f64 y x) t) t) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) z)) (pow.f64 (/.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) z) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x t) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) t) y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 y x) t) t) (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) z) (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t))) #s(literal -1 binary64)) |
(pow.f64 (/.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)) #s(literal -1 binary64)) |
(pow.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 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) t) t (*.f64 (*.f64 (/.f64 y x) z) z)) (/.f64 y x))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y y) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) z)) (*.f64 y y))) (/.f64 (*.f64 (neg.f64 t) t) z)) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 x t) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) y)) (neg.f64 (*.f64 (neg.f64 y) t))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) t) y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 x t) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) t) x) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (neg.f64 y) t) y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 z t) z) y) y) (*.f64 (*.f64 (neg.f64 x) t) x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 y x) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
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(fma.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 t t) z)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 z z) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 z t) t) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (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))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 x (pow.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 x (pow.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 x (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 x (*.f64 x (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 z (/.f64 (/.f64 z t) t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 x t) x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 y) t) y) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 x t) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 x t) x))) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 t t)) (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 x t) x))) (*.f64 (*.f64 (neg.f64 y) t) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) t) x) (*.f64 (*.f64 (neg.f64 y) t) y)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 z t) z) y) y) (*.f64 (*.f64 (neg.f64 y) t) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y x) #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 y x) #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))) |
Compiled 21 066 to 2 690 computations (87.2% saved)
28 alts after pruning (25 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 17 | 917 |
| Fresh | 10 | 8 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 913 | 28 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| 76.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| 95.3% | (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))) |
| 80.5% | (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) | |
| 73.5% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t)) y) | |
| 43.1% | (/.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)) | |
| ✓ | 83.5% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 83.5% | (+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 80.1% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| 74.3% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 83.5% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 80.1% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.2% | #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))) | |
| 68.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| ▶ | 58.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 58.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 48.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) | |
| 58.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| 58.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)))) | |
| ✓ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| 57.1% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) | |
| ▶ | 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
Compiled 1 125 to 743 computations (34% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) (/.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| cost-diff | 384 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| cost-diff | -384 | (/.f64 z (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| cost-diff | 0 | (/.f64 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 | 31 | 211 |
| 0 | 48 | 201 |
| 1 | 81 | 201 |
| 2 | 133 | 201 |
| 3 | 288 | 201 |
| 4 | 516 | 201 |
| 5 | 902 | 201 |
| 6 | 1633 | 201 |
| 7 | 1896 | 201 |
| 8 | 2149 | 201 |
| 9 | 2933 | 201 |
| 10 | 3426 | 201 |
| 11 | 3672 | 201 |
| 12 | 4098 | 201 |
| 13 | 4252 | 201 |
| 14 | 4290 | 201 |
| 15 | 4340 | 201 |
| 16 | 4372 | 201 |
| 17 | 4400 | 201 |
| 18 | 4400 | 201 |
| 19 | 4400 | 201 |
| 20 | 4400 | 201 |
| 0 | 4400 | 201 |
| 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 (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(/.f64 z (*.f64 t t)) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(neg.f64 x) |
x |
(/.f64 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) (*.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 (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) t) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 z t) |
z |
t |
(/.f64 t z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.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 |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(neg.f64 x) |
x |
(/.f64 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 | 0.0078125 | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.12890625 | (*.f64 (neg.f64 x) (/.f64 x y)) | |
| accuracy | 4.69129815179932 | (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) | |
| accuracy | 14.632088040649466 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| accuracy | 14.632088040649466 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.0 | (/.f64 t z) | |
| accuracy | 0.1875 | (/.f64 (/.f64 z t) (/.f64 t z)) | |
| accuracy | 26.24590966486509 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 3.7893030674650787 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| accuracy | 6.8401884112498434 | (/.f64 z (*.f64 t t)) | |
| accuracy | 26.24590966486509 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| accuracy | 0.21484375 | (*.f64 (/.f64 x y) (/.f64 x y)) |
| 181.0ms | 256× | 0 | valid |
Compiled 409 to 60 computations (85.3% saved)
ival-mult: 57.0ms (60.1% of total)ival-div: 32.0ms (33.8% of total)ival-add: 4.0ms (4.2% of total)ival-neg: 1.0ms (1.1% 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 (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(/.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)) |
(/ x y) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ -1 y) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(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 | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | ((+ (* (/ 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 (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ (* z z) (* t t))) |
| 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 (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ (* z z) (* t t))) |
| 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 (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ (* z z) (* t t))) |
| 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 (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ (* z z) (* t t))) |
| 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 (* t t)) z) (* t t) (/ z (* t t)) (/ (/ z t) (/ t z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ t z) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* z z) (* (/ -1 y) (* (neg x) (/ x y))) (+ (* (/ -1 y) (* (neg x) (/ x y))) (/ (* z z) (* t t))) (/ -1 y) (* (neg x) (/ x y)) (/ (* z z) (* t t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 126 |
| 1 | 72 | 126 |
| 2 | 210 | 126 |
| 3 | 866 | 126 |
| 4 | 2936 | 126 |
| 5 | 4208 | 126 |
| 6 | 7363 | 126 |
| 0 | 8104 | 121 |
| 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) |
(* -1 (/ (pow x 2) y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ -1 y) |
(/ z t) |
(/ z (pow t 2)) |
(/ t z) |
(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 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) |
(* -1 (/ (pow x 2) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ z t) |
(/.f64 z t) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ t z) |
(/.f64 t z) |
(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 x y) y) x (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 160 |
| 0 | 48 | 121 |
| 1 | 169 | 121 |
| 2 | 2638 | 121 |
| 0 | 8529 | 121 |
| 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 (*.f64 t t)) z)) |
(*.f64 (/.f64 z (*.f64 t t)) z) |
(*.f64 t t) |
(/.f64 z (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(/.f64 t z) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 x) (/.f64 x y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) (/.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 t z) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 t z) #s(literal -6 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 t z) #s(literal -4 binary64))) (pow.f64 (*.f64 (/.f64 x y) (/.f64 z t)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) t (*.f64 y (*.f64 (/.f64 z t) z)))) (neg.f64 (*.f64 y t))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 t (neg.f64 z)) (*.f64 y (/.f64 (neg.f64 z) t)))) (neg.f64 (*.f64 y (/.f64 t (neg.f64 z))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 y (*.f64 (neg.f64 t) t)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (*.f64 t t) (*.f64 y (*.f64 z z)))) (neg.f64 (*.f64 y (*.f64 t t)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 t z) (*.f64 y (/.f64 z t)))) (neg.f64 (*.f64 y (/.f64 t z)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y))) (*.f64 (/.f64 t z) t) (*.f64 y z))) (neg.f64 (*.f64 y (*.f64 (/.f64 t z) t)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 z) t) y (*.f64 (/.f64 t (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (/.f64 t (neg.f64 z)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) y))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (*.f64 t t) y))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 z t) y (*.f64 (/.f64 t z) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (/.f64 t z) y))) |
(/.f64 (neg.f64 (fma.f64 z y (*.f64 (*.f64 (/.f64 t z) t) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x y)))))) (neg.f64 (*.f64 (*.f64 (/.f64 t z) t) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 t (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x)))) (neg.f64 (*.f64 t (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 z) t) y (*.f64 (/.f64 t (neg.f64 z)) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (/.f64 t (neg.f64 z)) y))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 z) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 t (neg.f64 z)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 t (neg.f64 z)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 z) t) (*.f64 (neg.f64 y) y) (*.f64 (/.f64 t (neg.f64 z)) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (/.f64 t (neg.f64 z)) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 z) t) (*.f64 y y) (*.f64 (/.f64 t (neg.f64 z)) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 t (neg.f64 z)) (*.f64 y y)))) |
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(/.f64 (*.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 t t)) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (/.f64 t z) t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (/.f64 (neg.f64 z) t) (/.f64 t (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 t) (/.f64 t z)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 #s(literal 1 binary64) z))) |
(/.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 z) (*.f64 (/.f64 z t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) t) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 t z) (neg.f64 t)) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 z t) 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 (neg.f64 z) (neg.f64 (*.f64 (/.f64 t z) t))) |
(/.f64 (neg.f64 z) (*.f64 (/.f64 t z) (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (/.f64 (/.f64 z t) t) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (*.f64 (/.f64 t z) t)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z))) |
(neg.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 t (neg.f64 z))) (/.f64 (/.f64 (neg.f64 z) t) (/.f64 t z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 t z) t))) (/.f64 z (neg.f64 (*.f64 (/.f64 t z) t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 t z) (neg.f64 t))) (/.f64 z (*.f64 (/.f64 t z) (neg.f64 t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal -2 binary64)))) |
Compiled 23 009 to 2 543 computations (88.9% saved)
30 alts after pruning (22 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 060 | 5 | 1 065 |
| Fresh | 3 | 17 | 20 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 063 | 30 | 1 093 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
| ▶ | 95.3% | (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))) |
| 80.5% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| 73.5% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t)) y) | |
| 43.1% | (/.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)) | |
| ✓ | 83.5% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.1% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 73.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) |
| 74.3% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 83.5% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 83.6% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 80.1% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.2% | #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))) | |
| 68.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| ✓ | 58.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| 58.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ▶ | 48.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 51.6% | #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))) | |
| 48.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) | |
| 58.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| 58.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)))) | |
| ✓ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| ✓ | 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ▶ | 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
Compiled 1 134 to 747 computations (34.1% 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 | 128 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| cost-diff | 384 | (/.f64 t (/.f64 z t)) | |
| 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 t t) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) | |
| cost-diff | -384 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (*.f64 (/.f64 y x) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 y x) y)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 207 |
| 0 | 49 | 200 |
| 1 | 81 | 198 |
| 2 | 105 | 198 |
| 3 | 157 | 198 |
| 4 | 209 | 198 |
| 5 | 217 | 198 |
| 6 | 220 | 198 |
| 7 | 226 | 198 |
| 8 | 235 | 198 |
| 9 | 239 | 198 |
| 0 | 239 | 198 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
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 |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 z (/.f64 t (/.f64 z t))) |
z |
(/.f64 t (/.f64 z t)) |
t |
(/.f64 z t) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
z |
t |
(/.f64 x (*.f64 (/.f64 y x) y)) |
x |
(*.f64 (/.f64 y x) y) |
(/.f64 y x) |
y |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) |
(/.f64 (/.f64 z t) t) |
#s(literal 1 binary64) |
(/.f64 (*.f64 t t) z) |
(*.f64 t t) |
t |
z |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
z |
t |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) | |
| accuracy | 0.16796875 | (/.f64 t (/.f64 z t)) | |
| accuracy | 3.726784636366551 | (/.f64 z (/.f64 t (/.f64 z t))) | |
| accuracy | 18.498287979070483 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) | |
| accuracy | 18.498287979070483 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.3959146350171213 | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) | |
| accuracy | 3.7893030674650787 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) | |
| accuracy | 6.852734143738278 | (/.f64 (*.f64 t t) z) | |
| accuracy | 26.24590966486509 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) | |
| accuracy | 0.0 | (*.f64 z z) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 14.632088040649466 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 26.24590966486509 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.0 | (/.f64 y x) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) | |
| accuracy | 0.12109375 | (*.f64 (/.f64 y x) y) | |
| accuracy | 5.021299408890249 | (/.f64 x (*.f64 (/.f64 y x) y)) |
| 123.0ms | 256× | 0 | valid |
Compiled 400 to 59 computations (85.3% saved)
ival-div: 65.0ms (82.5% of total)ival-mult: 10.0ms (12.7% of total)ival-add: 4.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) |
(/.f64 (*.f64 t t) z) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 t (/.f64 z t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) |
(/.f64 y x) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 z (/.f64 t (/.f64 z t))) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(pow z 2) |
(/ z (pow t 2)) |
(/ (pow t 2) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 147.0ms | z | @ | 0 | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (/ (* t t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (/ (* t t) z)) z) (/ (* t t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) (/ y x) (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) |
| 2.0ms | z | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (/ (* t t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (/ (* t t) z)) z) (/ (* t t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) (/ y x) (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) |
| 2.0ms | z | @ | inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (/ (* t t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (/ (* t t) z)) z) (/ (* t t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) (/ y x) (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (/ (* t t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (/ (* t t) z)) z) (/ (* t t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) (/ y x) (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) |
| 2.0ms | y | @ | inf | ((+ (* (/ z t) (/ z t)) (/ x (* (/ y x) y))) (/ z t) (/ x (* (/ y x) y)) (* (/ y x) y) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* z z) (* t t) (/ (* z z) (* t t)) (/ 1 (/ (* t t) z)) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ 1 (/ (* t t) z)) z) (/ (* t t) z) (+ (* (/ z t) (/ z t)) (/ (* x x) (* y y))) (* x x) (* y y) (/ t (/ z t)) (+ (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) (/ y x) (/ (* x x) (* y y)) (/ z (/ t (/ z t)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 130 |
| 1 | 65 | 130 |
| 2 | 199 | 130 |
| 3 | 843 | 130 |
| 4 | 2892 | 130 |
| 5 | 4007 | 130 |
| 6 | 6351 | 130 |
| 7 | 7845 | 130 |
| 0 | 8149 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow y 2) x) |
(pow x 2) |
(/ y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(/ z t) |
(pow z 2) |
(/ z (pow t 2)) |
(/ (pow t 2) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(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 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)) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(pow x 2) |
(*.f64 x x) |
(/ y x) |
(/.f64 y x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 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 (*.f64 y y) t) z) (/.f64 z t) (*.f64 x x)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(/ z t) |
(/.f64 z t) |
(pow z 2) |
(*.f64 z z) |
(/ z (pow t 2)) |
(/.f64 (/.f64 z t) t) |
(/ (pow t 2) z) |
(/.f64 (*.f64 t t) z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(fma.f64 (/.f64 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 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 | 32 | 168 |
| 0 | 49 | 146 |
| 1 | 196 | 130 |
| 2 | 2647 | 130 |
| 0 | 8243 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 x (*.f64 (/.f64 y x) y))) |
(/.f64 z t) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) y) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 z z) |
(*.f64 t t) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z) |
(/.f64 (*.f64 t t) z) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 t (/.f64 z t)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t)))) |
(/.f64 y x) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 z (/.f64 t (/.f64 z t))) |
| Outputs |
|---|
(*.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))) |
(*.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 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 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 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 y t) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) t) (/.f64 t z) (*.f64 (*.f64 y y) z)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) t) (/.f64 t z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) (fma.f64 (/.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 (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 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 (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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.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 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)))) (fma.f64 (/.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)))) (/.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)))) (*.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)))))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) t) (/.f64 t z) (*.f64 (*.f64 y y) z)) (*.f64 y y))) (/.f64 t (/.f64 z (neg.f64 t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (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 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) t) (/.f64 t z) (*.f64 (*.f64 y y) z)))) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) t) (/.f64 t z))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 t y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 (neg.f64 y) y) (*.f64 t (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 t (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x)))) (neg.f64 (*.f64 t (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y y) (*.f64 (*.f64 (neg.f64 t) t) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 (neg.f64 t) t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) y (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) y))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 (neg.f64 y) y) (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 t (/.f64 z (neg.f64 t))) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) y))) |
(/.f64 (neg.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)))) (neg.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 y y) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (*.f64 (*.f64 t t) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (*.f64 t t) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (*.f64 (neg.f64 y) y) (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 t t) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 t t) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 z y (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (/.f64 x y) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 t t) z) y))) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (/.f64 (*.f64 t t) z) (*.f64 (neg.f64 y) y)))) |
(/.f64 (neg.f64 (fma.f64 z (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (*.f64 t t) z))) (neg.f64 (*.f64 (/.f64 (*.f64 t t) z) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z)))) (neg.f64 (*.f64 y t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z)))) (neg.f64 (*.f64 y (*.f64 (neg.f64 t) t)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 y (/.f64 t (/.f64 z (neg.f64 t)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (pow.f64 (/.f64 t z) #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (pow.f64 (/.f64 t z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z)))) (neg.f64 (*.f64 y (*.f64 t t)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 t t) z) (*.f64 y z))) (neg.f64 (*.f64 y (/.f64 (*.f64 t t) z)))) |
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(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (/.f64 x y) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) y) (*.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) (/.f64 (/.f64 y x) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 x (*.f64 (/.f64 y x) y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (/.f64 y x) y))) |
(neg.f64 (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (/.f64 y x))) (/.f64 x (*.f64 (neg.f64 y) (/.f64 y x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 x x) (*.f64 (neg.f64 y) 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 x y) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 z t))) (exp.f64 (log.f64 (/.f64 z t)))) |
(*.f64 (/.f64 z (*.f64 (neg.f64 t) t)) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 z t) z) (pow.f64 t #s(literal -1 binary64))) |
(*.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 (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 z z)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 z t) z)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (*.f64 (neg.f64 t) t) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 z (neg.f64 t)) (/.f64 z (neg.f64 t))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) (pow.f64 t #s(literal -2 binary64))) |
(*.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 z (neg.f64 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 (neg.f64 (*.f64 (neg.f64 z) (/.f64 z t))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 t t) z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (neg.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64))) (neg.f64 (/.f64 t z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 z t) z))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) t)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 t (/.f64 z (neg.f64 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) (neg.f64 z))) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (neg.f64 z) (/.f64 z t)) (neg.f64 t)) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 t (/.f64 z (neg.f64 t)))) |
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (neg.f64 (/.f64 (/.f64 z t) t)) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) z)) (neg.f64 (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (*.f64 t t) z)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (/.f64 t (/.f64 z (neg.f64 t)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 t (/.f64 z (neg.f64 t)))) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (/.f64 (/.f64 z t) t) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t)))) |
(/.f64 (/.f64 z (neg.f64 t)) (neg.f64 (/.f64 t z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (neg.f64 z) (/.f64 z t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 (/.f64 z t) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) (*.f64 (/.f64 z t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (/.f64 z (neg.f64 t))) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 z t) t))) |
(/.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 z z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (/.f64 t z)) |
(/.f64 z (/.f64 (*.f64 t t) z)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 t t))) |
(neg.f64 (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(neg.f64 (/.f64 z (/.f64 t (/.f64 z (neg.f64 t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z (neg.f64 t)))) (/.f64 z (/.f64 t (/.f64 z (neg.f64 t))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) t)) (/.f64 (*.f64 z z) (*.f64 (neg.f64 t) t))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
Compiled 16 401 to 2 020 computations (87.7% saved)
31 alts after pruning (19 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 2 | 710 |
| Fresh | 0 | 17 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 709 | 31 | 740 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 76.0% | (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
| ✓ | 95.3% | (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))) |
| 80.5% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| 73.5% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t)) y) | |
| 43.1% | (/.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)) | |
| ✓ | 83.5% | (+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.1% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 63.8% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 74.3% | (+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 83.5% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 83.6% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 80.1% | (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 79.9% | (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.2% | #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))) | |
| 68.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) | |
| ✓ | 58.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) | |
| 58.5% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 48.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 56.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) | |
| 51.6% | #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))) | |
| 48.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) | |
| 58.0% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) | |
| 58.4% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)))) | |
| ✓ | 57.2% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| ✓ | 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 58.8% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ✓ | 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
| 51.6% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
Compiled 1 668 to 646 computations (61.3% 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#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 z (/.f64 t (/.f64 z t)))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) (/.f64 x y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)) (*.f64 (*.f64 y t) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (fma.f64 (*.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x) (*.f64 z z)) (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 x (/.f64 x y)))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t 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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y t) t) (fma.f64 (*.f64 (*.f64 x (/.f64 x y)) t) t (*.f64 (*.f64 y z) z)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) (*.f64 y (/.f64 z t)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (neg.f64 y) t)) y) |
(fma.f64 (/.f64 z t) (/.f64 z t) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 t t)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) x) (/.f64 y x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 t z) z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (*.f64 t (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) t) (+.f64 t (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) z) (/.f64 z t))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (pow.f64 (*.f64 t y) #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 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
11 calls:
| 36.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 33.0ms | z |
| 31.0ms | (*.f64 z z) |
| 17.0ms | y |
| 15.0ms | (*.f64 y y) |
| 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#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 |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x))) |
11 calls:
| 46.0ms | t |
| 9.0ms | (*.f64 y y) |
| 9.0ms | (*.f64 t t) |
| 7.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.2% | 1 | x |
| 92.2% | 1 | y |
| 92.2% | 1 | z |
| 92.2% | 1 | t |
| 92.2% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 92.2% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 92.2% | 1 | (*.f64 x x) |
| 92.2% | 1 | (*.f64 y y) |
| 94.9% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 92.2% | 1 | (*.f64 z z) |
| 92.2% | 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 x (/.f64 (*.f64 y y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 z (/.f64 (*.f64 t t) z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
11 calls:
| 19.0ms | z |
| 14.0ms | (*.f64 z z) |
| 10.0ms | (*.f64 y y) |
| 7.0ms | y |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 2 | (*.f64 y y) |
| 88.0% | 2 | (*.f64 t t) |
| 89.1% | 3 | x |
| 87.2% | 2 | y |
| 87.7% | 2 | z |
| 88.0% | 2 | t |
| 83.5% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 88.9% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 89.1% | 3 | (*.f64 x x) |
| 87.7% | 2 | (*.f64 z z) |
| 94.6% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (*.f64 (/.f64 t z) t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 z (/.f64 (*.f64 t t) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
1 calls:
| 4.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 7 to 7 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
10 calls:
| 9.0ms | (*.f64 z z) |
| 8.0ms | (*.f64 t t) |
| 5.0ms | x |
| 5.0ms | t |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | y |
| 83.7% | 3 | (*.f64 y y) |
| 79.3% | 2 | x |
| 79.3% | 2 | (*.f64 x x) |
| 78.4% | 2 | (*.f64 z z) |
| 78.4% | 2 | z |
| 77.7% | 2 | t |
| 77.7% | 2 | (*.f64 t t) |
| 85.1% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 82.3% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 t t) #s(literal 1 binary64))))) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.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 z t) (/.f64 t z))) |
5 calls:
| 7.0ms | y |
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 5.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 4.0ms | (*.f64 y y) |
| 4.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 79.8% | 3 | y |
| 79.8% | 3 | (*.f64 y y) |
| 77.4% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 82.7% | 4 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 33 to 34 computations (-3% 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#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 #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 (*.f64 z z) #s(literal 1 binary64))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (neg.f64 z) (/.f64 t (/.f64 z (neg.f64 t))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 z t) z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 t z)) (/.f64 t z))) |
| Outputs |
|---|
(/.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 z t) (/.f64 t z))) |
11 calls:
| 8.0ms | (*.f64 y y) |
| 7.0ms | t |
| 6.0ms | x |
| 5.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 66.7% | 2 | t |
| 66.7% | 2 | (*.f64 t t) |
| 76.1% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 73.0% | 2 | y |
| 73.0% | 2 | (*.f64 y y) |
| 67.2% | 2 | z |
| 67.2% | 2 | (*.f64 z z) |
| 64.0% | 2 | (*.f64 x x) |
| 64.0% | 2 | x |
| 77.4% | 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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
10 calls:
| 20.0ms | (*.f64 x x) |
| 3.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 3.0ms | x |
| 3.0ms | t |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | x |
| 58.9% | 1 | (*.f64 x x) |
| 58.9% | 1 | (*.f64 t t) |
| 58.9% | 1 | t |
| 58.9% | 1 | z |
| 58.9% | 1 | (*.f64 z z) |
| 58.9% | 1 | y |
| 58.9% | 1 | (*.f64 y y) |
| 58.9% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 58.9% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
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 #s(literal 1 binary64) (/.f64 (*.f64 t t) z)) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
11 calls:
| 18.0ms | (*.f64 z z) |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | t |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | z |
| 58.8% | 1 | t |
| 58.8% | 1 | (*.f64 t t) |
| 58.8% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 58.8% | 1 | (*.f64 z z) |
| 58.8% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 58.8% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 58.8% | 1 | y |
| 58.8% | 1 | (*.f64 y y) |
| 58.8% | 1 | x |
| 58.8% | 1 | (*.f64 x x) |
Compiled 45 to 61 computations (-35.6% saved)
Total -2.2b remaining (-7%)
Threshold costs -2.2b (-7%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
11 calls:
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.6% | 1 | z |
| 51.6% | 1 | t |
| 51.6% | 1 | (*.f64 t t) |
| 51.6% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 51.6% | 1 | (*.f64 z z) |
| 51.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 51.6% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 51.6% | 1 | y |
| 51.6% | 1 | (*.f64 y y) |
| 51.6% | 1 | x |
| 51.6% | 1 | (*.f64 x x) |
Compiled 45 to 61 computations (-35.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 5.868237492852775e-298 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.6260234570850514e+305 | +inf |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 2.6260234570850514e+305 | +inf |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 18 to 18 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 4.565863633895277e+173 | 1.0049797560582757e+199 |
| 0.0ms | 0.0 | 3.1635059400568185e-215 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.478022891840717e-64 | 2.853062140703592e-52 |
Compiled 18 to 18 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 523 |
| 1 | 121 | 521 |
| 2 | 213 | 521 |
| 3 | 461 | 521 |
| 4 | 815 | 521 |
| 5 | 1245 | 521 |
| 6 | 3006 | 521 |
| 7 | 4941 | 521 |
| 8 | 5471 | 521 |
| 9 | 5706 | 521 |
| 10 | 6162 | 521 |
| 11 | 6290 | 521 |
| 12 | 7304 | 521 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 500000000000000034478783768422291468839913049176218549546891415298328160321104377283093399808452642713299991464708729440150191950239130597851790859288683698879916192875675648 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (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 z t) (/.f64 t z)))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 z t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) (+.f64 #s(approx (/ (* x x) (* y y)) (*.f64 (/.f64 (/.f64 x y) y) x)) (/.f64 (*.f64 z z) (*.f64 t t))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal +inf.0 binary64)) (fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (*.f64 x x) (*.f64 y y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 500000000000000034478783768422291468839913049176218549546891415298328160321104377283093399808452642713299991464708729440150191950239130597851790859288683698879916192875675648 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (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 z t) (/.f64 t z)))))) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 0 binary64)) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) (if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 500000000000000034478783768422291468839913049176218549546891415298328160321104377283093399808452642713299991464708729440150191950239130597851790859288683698879916192875675648 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) (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 y) (neg.f64 y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 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 z t) (/.f64 t z)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5928554968950589/14821387422376473014217086081112052205218558037201992197050570753012880593911808 binary64)) (/.f64 #s(approx (+ (* (* (* z (/ z t)) y) (neg y)) (* (* t (neg x)) x)) (*.f64 (*.f64 (neg.f64 x) t) x)) (*.f64 (*.f64 t y) (neg.f64 y))) #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z)))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/.f64 (/.f64 z t) (/.f64 t z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z t) (/.f64 z t))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 | 11 | 41 |
| 0 | 18 | 41 |
| 1 | 69 | 33 |
| 2 | 813 | 33 |
| 0 | 8399 | 33 |
| 0 | 69 | 277 |
| 1 | 203 | 270 |
| 2 | 697 | 270 |
| 3 | 3712 | 270 |
| 4 | 5484 | 270 |
| 0 | 8057 | 258 |
| 0 | 41 | 187 |
| 0 | 69 | 150 |
| 1 | 259 | 150 |
| 2 | 2954 | 150 |
| 0 | 9153 | 150 |
| 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× | iter limit |
| 1× | node limit |
Compiled 1 176 to 464 computations (60.5% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 210 to 260 computations (78.5% saved)
Loading profile data...