
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 671.0ms | 8 256× | 0 | valid |
ival-mult: 230.0ms (55.3% of total)ival-div: 133.0ms (32% of total)ival-add: 45.0ms (10.8% of total)ival-true: 5.0ms (1.2% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 73 | 0 | - | 0 | - | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 64 | 0 | - | 2 | (-6.12564153545579e-17 -2.993644818632215e-142 -4.1842129389739765e-76 2.8163795544305287e-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)) | n/u | 15 | 0 |
| ↳ | (*.f64 y y) | underflow | 69 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/u | 13 | 0 |
| ↳ | (*.f64 z z) | underflow | 56 | |
| ↳ | (*.f64 t t) | underflow | 60 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/o | 11 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
| ↳ | (*.f64 y y) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | o/n | 11 | 0 |
| ↳ | (*.f64 x x) | overflow | 62 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/u | 8 | 0 |
| ↳ | (*.f64 t t) | underflow | 60 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/o | 8 | 0 |
| ↳ | (*.f64 z z) | overflow | 60 | |
| ↳ | (*.f64 t t) | overflow | 67 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/u | 8 | 0 |
| ↳ | (*.f64 x x) | underflow | 66 | |
| ↳ | (*.f64 y y) | underflow | 69 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | o/n | 8 | 0 |
| ↳ | (*.f64 z z) | overflow | 60 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | u/n | 7 | 0 |
| ↳ | (*.f64 z z) | underflow | 56 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | n/o | 6 | 0 |
| ↳ | (*.f64 y y) | overflow | 59 | |
/.f64 | (/.f64 (*.f64 x x) (*.f64 y y)) | u/n | 6 | 0 |
| ↳ | (*.f64 x x) | underflow | 66 | |
/.f64 | (/.f64 (*.f64 z z) (*.f64 t t)) | n/o | 4 | 0 |
| ↳ | (*.f64 t t) | overflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 79 | 9 |
| - | 24 | 144 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 79 | 0 | 9 |
| - | 24 | 0 | 144 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 101 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-mult: 12.0ms (56.3% of total)ival-div: 6.0ms (28.2% of total)ival-add: 2.0ms (9.4% 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 | 181 | 214 |
| 2 | 992 | 214 |
| 3 | 3095 | 214 |
| 4 | 5386 | 214 |
| 5 | 5712 | 214 |
| 6 | 5712 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 47 | 15 |
| 2 | 183 | 15 |
| 3 | 651 | 15 |
| 4 | 1340 | 15 |
| 5 | 1403 | 15 |
| 0 | 1403 | 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 x y) (/.f64 x y) (*.f64 (/.f64 z t) (/.f64 z t))) |
(abs t)
(abs z)
(abs y)
(abs x)
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.6% | (+.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 y y) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 1 | (+.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 | 47 | 45 |
| 2 | 183 | 45 |
| 3 | 651 | 45 |
| 4 | 1340 | 45 |
| 5 | 1403 | 45 |
| 0 | 1403 | 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 x y) (/.f64 x y) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 17.1413679826756 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 21.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 6.0ms (56.3% of total)ival-div: 3.0ms (28.1% of total)ival-add: 2.0ms (18.8% 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 (*.f64 x x) (*.f64 y y)) |
(*.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 y 2)) |
(pow x 2) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(* (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 | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t)) |
| 2.0ms | z | @ | 0 | ((+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (* x x) (* y y)) (* 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)) (* 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)) (* 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)) (* x x) (* y y) (/ (* z z) (* t t)) (* t t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 98 |
| 1 | 65 | 98 |
| 2 | 257 | 98 |
| 3 | 2260 | 98 |
| 0 | 8293 | 93 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (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) (+ (/ 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) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow y 2) |
(*.f64 y y) |
(* (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)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 0 | 18 | 38 |
| 1 | 76 | 30 |
| 2 | 758 | 30 |
| 0 | 9059 | 30 |
| 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 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(/.f64 (-.f64 (*.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))))) (*.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 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (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 z t) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))))))) |
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(-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 z t) z) y) (*.f64 t y)) (/.f64 (*.f64 t (*.f64 (/.f64 x y) x)) (*.f64 t y))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 t)) (*.f64 t (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 t (*.f64 (neg.f64 x) x)) (*.f64 t (*.f64 (neg.f64 y) y)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 t (*.f64 y y))) (/.f64 (*.f64 t (*.f64 x x)) (*.f64 t (*.f64 y y)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 z) z) y) (*.f64 (*.f64 (neg.f64 t) t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 t) t) y))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 t t) y)) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 (*.f64 t t) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (/.f64 (*.f64 (*.f64 (/.f64 x y) x) t) (*.f64 y t)) (/.f64 (*.f64 y (*.f64 (/.f64 z t) z)) (*.f64 y t))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y)) (*.f64 y (*.f64 (neg.f64 t) t))) (/.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (*.f64 y (*.f64 (neg.f64 t) t)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (*.f64 y (*.f64 t t))) (/.f64 (*.f64 y (*.f64 z z)) (*.f64 y (*.f64 t t)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) t) (*.f64 (*.f64 (neg.f64 y) y) t)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 t)) (*.f64 (*.f64 (neg.f64 y) y) t))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) t) (*.f64 (*.f64 y y) t)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t) (*.f64 (*.f64 y y) t))) |
(+.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #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 (neg.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 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) |
(*.f64 x (/.f64 (/.f64 x y) y)) |
(pow.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(sqrt.f64 (pow.f64 y #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 y) y)) |
(fabs.f64 (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) t) |
(/.f64 (*.f64 (/.f64 (neg.f64 z) t) z) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(sqrt.f64 (pow.f64 t #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 t) t)) |
(fabs.f64 (*.f64 t t)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
Compiled 4 721 to 610 computations (87.1% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 15 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 179 | 16 | 195 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.1% | (fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
| 11.9% | (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (-.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))) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (*.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 (+.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))))) | |
| 80.2% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| ▶ | 47.3% | (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
| 18.4% | (/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) | |
| 25.8% | (/.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)))) | |
| ▶ | 80.5% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 78.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 66.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 80.1% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| 74.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| ▶ | 82.6% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.8% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 81.1% | (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 92.9% | #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))) | |
| ▶ | 55.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
Compiled 765 to 427 computations (44.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 1 | (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) | |
| cost-diff | 10 | (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 1 | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (/.f64 (/.f64 z t) t) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| cost-diff | 2 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| cost-diff | 0 | (pow.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 241 |
| 0 | 60 | 213 |
| 1 | 123 | 213 |
| 2 | 484 | 213 |
| 3 | 2492 | 213 |
| 0 | 8401 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#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 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 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) |
(*.f64 z z) |
z |
(neg.f64 y) |
y |
(*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y))) |
(*.f64 t t) |
t |
(*.f64 x (/.f64 (neg.f64 x) y)) |
x |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(*.f64 (*.f64 t t) (neg.f64 y)) |
| Outputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
z |
t |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.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)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) |
(neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x y) x) t) t (*.f64 (*.f64 z z) y))) |
(*.f64 z z) |
z |
(neg.f64 y) |
y |
(*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 t (/.f64 x y)) (*.f64 (neg.f64 t) x)) |
(*.f64 t t) |
t |
(*.f64 x (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) x) |
x |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(*.f64 (*.f64 t t) (neg.f64 y)) |
(*.f64 (*.f64 t y) (neg.f64 t)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.766098596175991 | (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) | |
| accuracy | 9.399551453363088 | (*.f64 (*.f64 t t) (neg.f64 y)) | |
| accuracy | 14.4849803714999 | (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y))) | |
| accuracy | 20.245072881648746 | (/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 4.112093449058862 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 0.20607377930532603 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 z t) t) | |
| accuracy | 4.1289406094824335 | (*.f64 (/.f64 (/.f64 z t) t) z) | |
| accuracy | 26.267162740784485 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.265625 | (pow.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| accuracy | 1.6769177605677208 | (fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
| 75.0ms | 256× | 0 | valid |
Compiled 479 to 72 computations (85% saved)
ival-div: 26.0ms (49.9% of total)ival-mult: 16.0ms (30.7% of total)ival-add: 5.0ms (9.6% of total)ival-pow2: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% 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 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
(/.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 y) (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) |
(*.f64 z z) |
(neg.f64 y) |
(*.f64 t t) |
(*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 t t) (neg.f64 y)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(* -1 (* y (pow z 2))) |
(+ (* -1 (* y (pow z 2))) (* -1 (/ (* (pow t 2) (pow x 2)) y))) |
(* -1 (/ (* (pow t 2) (pow x 2)) y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (pow t 2) y)))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) y) |
(* -1 y) |
(* -1 (* (pow t 2) y)) |
(* y (+ (* -1 (/ (* (pow t 2) (pow x 2)) (pow y 2))) (* -1 (pow z 2)))) |
(* -1 (* y (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)))) |
(/ z (pow t 2)) |
(/ z t) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (* -1 y) (* -1 (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(* (pow t 2) (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | -inf | ((+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (/ (/ x y) y) (/ x y) (pow (/ z t) 2) (* (/ (/ z t) t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (/ z t) (/ (* z z) (* t t)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* (* t t) (neg y))) (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* z z) (neg y) (* t t) (* (* t t) (* x (/ (neg x) y))) (* (* t t) (neg y))) |
| 9.0ms | x | @ | inf | ((+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (/ (/ x y) y) (/ x y) (pow (/ z t) 2) (* (/ (/ z t) t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (/ z t) (/ (* z z) (* t t)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* (* t t) (neg y))) (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* z z) (neg y) (* t t) (* (* t t) (* x (/ (neg x) y))) (* (* t t) (neg y))) |
| 6.0ms | y | @ | -inf | ((+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (/ (/ x y) y) (/ x y) (pow (/ z t) 2) (* (/ (/ z t) t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (/ z t) (/ (* z z) (* t t)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* (* t t) (neg y))) (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* z z) (neg y) (* t t) (* (* t t) (* x (/ (neg x) y))) (* (* t t) (neg y))) |
| 4.0ms | y | @ | inf | ((+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (/ (/ x y) y) (/ x y) (pow (/ z t) 2) (* (/ (/ z t) t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (/ z t) (/ (* z z) (* t t)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* (* t t) (neg y))) (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* z z) (neg y) (* t t) (* (* t t) (* x (/ (neg x) y))) (* (* t t) (neg y))) |
| 4.0ms | y | @ | 0 | ((+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (/ (/ x y) y) (/ x y) (pow (/ z t) 2) (* (/ (/ z t) t) z) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (/ (/ z t) t) (/ z t) (/ (* z z) (* t t)) (+ (* (/ x y) (/ x y)) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (+ (/ (* (/ x y) x) y) (/ (* z z) (* t t))) (/ (* (/ x y) x) y) (* (/ x y) x) (/ (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* (* t t) (neg y))) (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (* z z) (neg y) (* t t) (* (* t t) (* x (/ (neg x) y))) (* (* t t) (neg y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 297 |
| 1 | 225 | 290 |
| 2 | 879 | 290 |
| 3 | 5648 | 290 |
| 0 | 8129 | 278 |
| 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))) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(* -1 (* y (pow z 2))) |
(+ (* -1 (* y (pow z 2))) (* -1 (/ (* (pow t 2) (pow x 2)) y))) |
(* -1 (/ (* (pow t 2) (pow x 2)) y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* (pow x 2) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (pow t 2) y)))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) y) |
(* -1 y) |
(* -1 (* (pow t 2) y)) |
(* y (+ (* -1 (/ (* (pow t 2) (pow x 2)) (pow y 2))) (* -1 (pow z 2)))) |
(* -1 (* y (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)))) |
(/ z (pow t 2)) |
(/ z t) |
(pow z 2) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(* (pow z 2) (+ (* -1 y) (* -1 (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(pow t 2) |
(* (pow t 2) (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(* -1 (* y (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) y) z) |
(+ (* -1 (* y (pow z 2))) (* -1 (/ (* (pow t 2) (pow x 2)) y))) |
(neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) x (*.f64 (*.f64 z z) y))) |
(* -1 (/ (* (pow t 2) (pow x 2)) y)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) t) (/.f64 t y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z x) x) (/.f64 z (*.f64 t t)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (* -1 (/ (pow t 2) y)))) |
(*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 y (/.f64 z x)) (/.f64 z x) (/.f64 (*.f64 t t) y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 z t)) (*.f64 y (/.f64 z t)) (*.f64 x x)) (*.f64 y y)) |
(/ (+ (* -1 (* (pow t 2) (pow x 2))) (* -1 (* (pow y 2) (pow z 2)))) y) |
(/.f64 (fma.f64 (*.f64 (*.f64 t x) x) t (*.f64 (*.f64 (*.f64 z z) y) y)) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* (pow t 2) y)) |
(*.f64 (*.f64 (neg.f64 y) t) t) |
(* y (+ (* -1 (/ (* (pow t 2) (pow x 2)) (pow y 2))) (* -1 (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (neg.f64 y)) |
(* -1 (* y (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (neg.f64 y)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ z t) |
(/.f64 z t) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z z) y) y)) x (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 y) (* -1 (/ (* (pow t 2) (pow x 2)) (* y (pow z 2)))))) |
(*.f64 (*.f64 (neg.f64 z) (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x (*.f64 z z)) y)) z) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
(* (pow t 2) (+ (* -1 (/ (* y (pow z 2)) (pow t 2))) (* -1 (/ (pow x 2) y)))) |
(*.f64 (*.f64 (neg.f64 t) t) (fma.f64 (*.f64 y (/.f64 z (*.f64 t t))) z (*.f64 (/.f64 x y) x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 182 |
| 0 | 60 | 147 |
| 1 | 215 | 147 |
| 2 | 1698 | 143 |
| 0 | 8142 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(/.f64 (/.f64 z t) t) |
(/.f64 z t) |
(/.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 y) (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) |
(*.f64 z z) |
(neg.f64 y) |
(*.f64 t t) |
(*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y))) |
(*.f64 (*.f64 t t) (neg.f64 y)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) (neg.f64 (*.f64 (*.f64 (neg.f64 y) z) z))) (*.f64 (*.f64 t t) y)) |
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) y) (/.f64 (*.f64 (*.f64 z z) y) y)) (*.f64 t t)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) t) (/.f64 (*.f64 (*.f64 (neg.f64 y) z) z) t)) (*.f64 (neg.f64 y) t)) |
(/.f64 (+.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (*.f64 z z) y)) (*.f64 (*.f64 t t) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 z z) y) y) (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) y)) (*.f64 t t)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) z) z) t) (/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) t)) (*.f64 (neg.f64 y) t)) |
(/.f64 (fma.f64 (*.f64 y z) z (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))) (*.f64 (*.f64 t t) y)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) y)) (*.f64 (neg.f64 t) t)) |
(/.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 (neg.f64 y) z) z (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (neg.f64 y))) (*.f64 (neg.f64 t) t)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) z (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) t)) (neg.f64 (*.f64 (neg.f64 y) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 y y) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))))))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))))) |
(/.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 t)) (neg.f64 t) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (*.f64 (*.f64 t t) (/.f64 (neg.f64 x) y)) x (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (neg.f64 z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 (*.f64 (neg.f64 y) z) z (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t) t (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (*.f64 (*.f64 t t) x) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (*.f64 (neg.f64 z) z) y (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 t t) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (neg.f64 t) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 x) y) x)) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) (neg.f64 y)) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 (*.f64 t t) x) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (neg.f64 y) (*.f64 z z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 (*.f64 t t) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 (*.f64 z z) (neg.f64 y) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 t (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(fma.f64 z (*.f64 (neg.f64 y) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(fma.f64 x (*.f64 (/.f64 (neg.f64 x) y) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z))) (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))))))) (/.f64 (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y y) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))))) |
(-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (*.f64 (neg.f64 (*.f64 (*.f64 t t) x)) (/.f64 (neg.f64 x) y))) |
(-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (*.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) (*.f64 t t))) |
(-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (*.f64 (neg.f64 t) (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t))) |
(-.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)))) |
(-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z z))) |
(-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 y) z))) |
(-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 z) z) (neg.f64 y))) |
(-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 z z) y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 x t) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (-.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) z) z) (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) |
(+.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (neg.f64 y) z) z)) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z))) |
(*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 z)) |
(*.f64 z z) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z z) #s(literal 1 binary64)) |
(pow.f64 z #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 z) z)) |
(sqrt.f64 (pow.f64 z #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 z) z)) |
(fabs.f64 (*.f64 z z)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(neg.f64 y) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (neg.f64 t)))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 t))) |
(*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 t))) |
(*.f64 (neg.f64 t) (neg.f64 t)) |
(*.f64 t t) |
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 t)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 t) #s(literal 2 binary64)) |
(pow.f64 (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 t #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) t)) |
(sqrt.f64 (pow.f64 t #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 t) t)) |
(fabs.f64 (*.f64 t t)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 t)) (neg.f64 t)) |
(*.f64 (*.f64 (*.f64 t t) (/.f64 (neg.f64 x) y)) x) |
(*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t) t) |
(*.f64 (*.f64 (*.f64 t t) x) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 t t)) |
(*.f64 (neg.f64 t) (*.f64 (neg.f64 t) (*.f64 (/.f64 (neg.f64 x) y) x))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (*.f64 t t) x)) |
(*.f64 (*.f64 t t) (*.f64 (/.f64 (neg.f64 x) y) x)) |
(*.f64 t (*.f64 (*.f64 (/.f64 (neg.f64 x) y) x) t)) |
(*.f64 x (*.f64 (/.f64 (neg.f64 x) y) (*.f64 t t))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) x) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 t t) x) (neg.f64 x))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 t t))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) x) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (*.f64 t t) x) (neg.f64 x)) y) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 t t)) y) |
(/.f64 (*.f64 (*.f64 t t) (*.f64 (neg.f64 x) x)) y) |
(neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) |
(*.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (neg.f64 t)) |
(*.f64 (*.f64 (neg.f64 y) t) t) |
(*.f64 (*.f64 (neg.f64 t) t) y) |
(*.f64 (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 y))) |
(*.f64 (neg.f64 y) (*.f64 t t)) |
(*.f64 (*.f64 t t) (neg.f64 y)) |
(*.f64 t (*.f64 (neg.f64 y) t)) |
(neg.f64 (*.f64 (*.f64 t t) y)) |
Compiled 18 468 to 2 128 computations (88.5% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 759 | 12 | 771 |
| Fresh | 5 | 5 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 767 | 20 | 787 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.7% | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
| 80.1% | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ▶ | 88.6% | (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| 88.6% | (fma.f64 (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 t y)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) | |
| 80.2% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| 68.9% | (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) z (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) t) (*.f64 (neg.f64 y) t)) | |
| 25.8% | (/.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)))) | |
| 42.8% | (/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) | |
| 74.8% | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 78.4% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ✓ | 66.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 74.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| ✓ | 82.6% | (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 80.1% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 82.5% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| 73.8% | (+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 55.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| ▶ | 53.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 59.3% | #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z z) y) y)) x (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))) | |
| 58.7% | #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) |
Compiled 731 to 502 computations (31.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| cost-diff | 2 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| cost-diff | 2 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| cost-diff | 0 | (*.f64 t t) | |
| cost-diff | 0 | (/.f64 z (*.f64 t t)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| cost-diff | 0 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 z t) z) t) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 265 |
| 0 | 63 | 255 |
| 1 | 119 | 255 |
| 2 | 309 | 255 |
| 3 | 885 | 255 |
| 4 | 1741 | 255 |
| 5 | 1981 | 255 |
| 6 | 2008 | 255 |
| 0 | 2008 | 254 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
#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 |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) |
(/.f64 x y) |
x |
y |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(sqrt.f64 x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
z |
t |
#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 |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.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 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) x) y) (sqrt.f64 (/.f64 (/.f64 x y) y)) (*.f64 (/.f64 (/.f64 z t) t) z)) |
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) x) y) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(/.f64 x y) |
x |
y |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (/.f64 x y) y))) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (/.f64 x y) y) |
(sqrt.f64 x) |
(/.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 | 0.20607377930532603 | (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) | |
| accuracy | 0.23666000976844204 | (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 19.38186256809656 | (sqrt.f64 (/.f64 (/.f64 x y) y)) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 1.6769177605677208 | (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| accuracy | 4.1289406094824335 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| accuracy | 6.555170605723627 | (/.f64 z (*.f64 (neg.f64 t) t)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| accuracy | 4.1289406094824335 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| accuracy | 6.555170605723627 | (/.f64 z (*.f64 (neg.f64 t) t)) | |
| accuracy | 17.1413679826756 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 4.1289406094824335 | (*.f64 (/.f64 z (*.f64 t t)) z) | |
| accuracy | 6.555170605723627 | (/.f64 z (*.f64 t t)) | |
| accuracy | 26.267162740784485 | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) | |
| accuracy | 0.14453125 | (/.f64 (/.f64 x y) y) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 z t) z) | |
| accuracy | 1.6769177605677208 | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| accuracy | 3.58100534711651 | (/.f64 (*.f64 (/.f64 z t) z) t) |
| 59.0ms | 256× | 0 | valid |
Compiled 526 to 72 computations (86.3% saved)
ival-mult: 15.0ms (39.8% of total)ival-div: 13.0ms (34.5% of total)ival-add: 5.0ms (13.3% of total)ival-sqrt: 3.0ms (8% of total)ival-neg: 2.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
#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)) |
(*.f64 t t) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) |
(*.f64 (/.f64 z t) z) |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(sqrt.f64 (/.f64 (/.f64 x y) 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))) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (sqrt x) (/ 1 y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* -1 (/ x y)) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/ z (pow t 2)) |
(/ (pow z 2) t) |
(* -1 (/ z (pow t 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 | |
|---|---|---|---|---|
| 28.0ms | z | @ | inf | ((+ (* (/ (/ x y) y) x) (/ (* (/ z t) z) t)) (/ (/ x y) y) (/ x y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (* (neg z) (/ z (* (neg t) t))) (+ (/ (* x x) (* y y)) (* (neg z) (/ z (* (neg t) t)))) (/ (* x x) (* y y)) (* x x) (+ (* (/ (/ x y) y) x) (* (neg z) (/ z (* (neg t) t)))) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (* (sqrt (/ (/ x y) y)) (sqrt x)) (* (/ z t) z) (/ z (* (neg t) t)) (sqrt (/ (/ x y) y)) (/ (* z z) (* t t))) |
| 4.0ms | x | @ | -inf | ((+ (* (/ (/ x y) y) x) (/ (* (/ z t) z) t)) (/ (/ x y) y) (/ x y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (* (neg z) (/ z (* (neg t) t))) (+ (/ (* x x) (* y y)) (* (neg z) (/ z (* (neg t) t)))) (/ (* x x) (* y y)) (* x x) (+ (* (/ (/ x y) y) x) (* (neg z) (/ z (* (neg t) t)))) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (* (sqrt (/ (/ x y) y)) (sqrt x)) (* (/ z t) z) (/ z (* (neg t) t)) (sqrt (/ (/ x y) y)) (/ (* z z) (* t t))) |
| 2.0ms | x | @ | inf | ((+ (* (/ (/ x y) y) x) (/ (* (/ z t) z) t)) (/ (/ x y) y) (/ x y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (* (neg z) (/ z (* (neg t) t))) (+ (/ (* x x) (* y y)) (* (neg z) (/ z (* (neg t) t)))) (/ (* x x) (* y y)) (* x x) (+ (* (/ (/ x y) y) x) (* (neg z) (/ z (* (neg t) t)))) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (* (sqrt (/ (/ x y) y)) (sqrt x)) (* (/ z t) z) (/ z (* (neg t) t)) (sqrt (/ (/ x y) y)) (/ (* z z) (* t t))) |
| 2.0ms | x | @ | 0 | ((+ (* (/ (/ x y) y) x) (/ (* (/ z t) z) t)) (/ (/ x y) y) (/ x y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (* (neg z) (/ z (* (neg t) t))) (+ (/ (* x x) (* y y)) (* (neg z) (/ z (* (neg t) t)))) (/ (* x x) (* y y)) (* x x) (+ (* (/ (/ x y) y) x) (* (neg z) (/ z (* (neg t) t)))) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (* (sqrt (/ (/ x y) y)) (sqrt x)) (* (/ z t) z) (/ z (* (neg t) t)) (sqrt (/ (/ x y) y)) (/ (* z z) (* t t))) |
| 2.0ms | z | @ | -inf | ((+ (* (/ (/ x y) y) x) (/ (* (/ z t) z) t)) (/ (/ x y) y) (/ x y) (/ (* (/ z t) z) t) (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (* (/ z (* t t)) z) (/ z (* t t)) (* t t) (* (neg z) (/ z (* (neg t) t))) (+ (/ (* x x) (* y y)) (* (neg z) (/ z (* (neg t) t)))) (/ (* x x) (* y y)) (* x x) (+ (* (/ (/ x y) y) x) (* (neg z) (/ z (* (neg t) t)))) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (* (sqrt (/ (/ x y) y)) (sqrt x)) (* (/ z t) z) (/ z (* (neg t) t)) (sqrt (/ (/ x y) y)) (/ (* z z) (* t t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 217 |
| 1 | 142 | 211 |
| 2 | 519 | 210 |
| 3 | 3001 | 210 |
| 0 | 8600 | 204 |
| 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))) |
(/ x (pow y 2)) |
(/ x y) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(* (sqrt x) (/ 1 y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(* -1 (/ x y)) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/ z (pow t 2)) |
(/ (pow z 2) t) |
(* -1 (/ z (pow t 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 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 x y) (/.f64 x y))) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(/ x y) |
(/.f64 x y) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(pow x 2) |
(*.f64 x x) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) (/.f64 (/.f64 z t) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) (/.f64 (/.f64 z t) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (*.f64 x x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(/ (+ (/ (* (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 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* -1 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* (sqrt x) (/ 1 y))) |
(/.f64 (sqrt.f64 x) (neg.f64 y)) |
(/ z (pow t 2)) |
(/.f64 z (*.f64 t t)) |
(/ (pow z 2) t) |
(/.f64 (*.f64 z z) t) |
(* -1 (/ z (pow t 2))) |
(/.f64 (/.f64 (neg.f64 z) t) t) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) t) (*.f64 (/.f64 x y) t) (*.f64 z z)) (*.f64 t t)) |
(pow t 2) |
(*.f64 t t) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 186 |
| 0 | 63 | 159 |
| 1 | 216 | 129 |
| 2 | 1569 | 128 |
| 0 | 9700 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(/.f64 (/.f64 x y) y) |
(/.f64 x y) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
#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)) |
(*.f64 t t) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x)) |
(*.f64 (/.f64 z t) z) |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.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))))) (*.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 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (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 z t) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (*.f64 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t 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 (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 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 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 t) (*.f64 y (/.f64 (*.f64 (neg.f64 z) z) t)))) (*.f64 (neg.f64 y) (neg.f64 t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z)))) (*.f64 y (*.f64 t t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z)))) (*.f64 y (*.f64 (neg.f64 t) t))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z)))) (*.f64 (neg.f64 y) t)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t))) (*.f64 (*.f64 (neg.f64 y) y) t)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 t)))) (*.f64 (*.f64 y y) t)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) t) y (/.f64 (*.f64 t (*.f64 (neg.f64 x) x)) y))) (neg.f64 (*.f64 (neg.f64 t) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y)))) (*.f64 (*.f64 t t) y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) (*.f64 (*.f64 (neg.f64 t) t) y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x)))) (*.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (*.f64 y y) (*.f64 t (*.f64 (neg.f64 x) x)))) (*.f64 t (*.f64 y y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x)))) (*.f64 t (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (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 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 t t)) |
(/.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)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64)))) (+.f64 (neg.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 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 z t) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 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)))) (neg.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (neg.f64 t) (*.f64 y (/.f64 (*.f64 (neg.f64 z) z) t))) (*.f64 (neg.f64 y) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 (neg.f64 t) t) (*.f64 y (*.f64 (neg.f64 z) z))) (*.f64 y (*.f64 (neg.f64 t) t))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (*.f64 t t) (*.f64 y (*.f64 z z))) (*.f64 y (*.f64 t t))) |
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 (/.f64 z t) z))) (*.f64 y t)) |
(/.f64 (fma.f64 (*.f64 x x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) t)) (*.f64 (*.f64 y y) t)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) t (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (neg.f64 t))) (*.f64 (*.f64 (neg.f64 y) y) t)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) t) y (/.f64 (*.f64 t (*.f64 (neg.f64 x) x)) y)) (*.f64 (neg.f64 t) y)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (neg.f64 y))) (*.f64 (*.f64 (neg.f64 t) t) y)) |
(/.f64 (fma.f64 (*.f64 z z) y (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y)) (*.f64 (*.f64 t 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 (neg.f64 z) z) t) (*.f64 y y) (*.f64 t (*.f64 (neg.f64 x) x))) (*.f64 t (*.f64 (neg.f64 y) y))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (*.f64 y y) (*.f64 t (*.f64 x x))) (*.f64 t (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (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 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (-.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 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64))) (-.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 (+.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))) |
(neg.f64 (/.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))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (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))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (-.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))))) |
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(+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
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(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 x y))) (fabs.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (sqrt.f64 (/.f64 (neg.f64 x) y))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (/.f64 x y)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y))) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y)) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (neg.f64 x) y))) (sqrt.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 x (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (neg.f64 x) x))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
(fabs.f64 (/.f64 (neg.f64 x) y)) |
(fabs.f64 (/.f64 x y)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z t) z) |
(*.f64 z (/.f64 z t)) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t)) |
(/.f64 (*.f64 z z) t) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) t)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 z) z) t)) |
(fabs.f64 (*.f64 (/.f64 z t) z)) |
(/.f64 (/.f64 (neg.f64 z) t) t) |
(/.f64 (neg.f64 z) (*.f64 t t)) |
(/.f64 (/.f64 z t) (neg.f64 t)) |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(neg.f64 (/.f64 (/.f64 z t) t)) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 x) y))) (neg.f64 (sqrt.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y)) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 x) y)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))) |
(neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 y)))) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z (*.f64 (neg.f64 t) t)) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 z) z) t) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
Compiled 10 072 to 1 225 computations (87.8% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 5 | 419 |
| Fresh | 3 | 9 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 2 | 3 |
| Total | 419 | 20 | 439 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.7% | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
| 80.1% | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 88.6% | (fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| 88.6% | (fma.f64 (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 t y)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) | |
| 86.5% | (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| ▶ | 81.5% | (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| 80.2% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| 25.8% | (/.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)))) | |
| 42.8% | (/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) | |
| ▶ | 74.8% | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ▶ | 89.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| ✓ | 66.6% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 74.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| ▶ | 82.6% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 82.5% | (+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 55.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| ✓ | 53.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 59.3% | #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z z) y) y)) x (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))) | |
| 58.7% | #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ▶ | 55.9% | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
Compiled 688 to 466 computations (32.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) | |
| cost-diff | 1 | (+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 4 | (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 x x) y) y) | |
| cost-diff | 1 | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| cost-diff | 2 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| cost-diff | 1 | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| cost-diff | 2 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 261 |
| 0 | 66 | 254 |
| 1 | 132 | 254 |
| 2 | 365 | 238 |
| 3 | 1078 | 233 |
| 4 | 2516 | 233 |
| 5 | 2902 | 233 |
| 6 | 2981 | 233 |
| 7 | 3045 | 233 |
| 0 | 3045 | 232 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
y |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
(/.f64 x y) |
x |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (/.f64 (*.f64 (/.f64 x y) x) y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 x y) |
x |
y |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 x (*.f64 y y)) |
(/.f64 (/.f64 x y) y) |
x |
(*.f64 y y) |
y |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(neg.f64 z) |
z |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) t) |
(neg.f64 t) |
t |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
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 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 z t) t) z (/.f64 (*.f64 (/.f64 x y) x) y)) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(/.f64 x y) |
(/.f64 (sqrt.f64 x) y) |
(sqrt.f64 x) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 z z) |
z |
(*.f64 t t) |
t |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20607377930532603 | (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) | |
| accuracy | 0.23666000976844204 | (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) | |
| accuracy | 0.2421875 | (/.f64 (sqrt.f64 x) y) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) | |
| accuracy | 4.112093449058862 | (/.f64 (/.f64 (*.f64 x x) y) y) | |
| accuracy | 7.30171453606745 | (/.f64 (*.f64 x x) y) | |
| accuracy | 14.765444867921488 | (/.f64 (*.f64 z z) (*.f64 t t)) | |
| accuracy | 1.6769177605677208 | (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) | |
| accuracy | 4.1289406094824335 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| accuracy | 6.555170605723627 | (/.f64 z (*.f64 (neg.f64 t) t)) | |
| accuracy | 8.692769677184467 | (/.f64 x (*.f64 y y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.20607377930532603 | (*.f64 (/.f64 x y) (/.f64 x y)) | |
| accuracy | 28.10271413469875 | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) | |
| accuracy | 0.1328125 | (*.f64 (/.f64 x y) x) | |
| accuracy | 4.112093449058862 | (/.f64 (*.f64 (/.f64 x y) x) y) | |
| accuracy | 4.1289406094824335 | (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) | |
| accuracy | 6.555170605723627 | (/.f64 z (*.f64 (neg.f64 t) t)) |
| 83.0ms | 256× | 0 | valid |
Compiled 517 to 77 computations (85.1% saved)
ival-div: 32.0ms (54.3% of total)ival-mult: 17.0ms (28.8% of total)ival-add: 5.0ms (8.5% of total)ival-sqrt: 3.0ms (5.1% of total)ival-neg: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (sqrt.f64 x) 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)) |
(/ (pow x 2) y) |
(/ x y) |
(/ x (pow y 2)) |
(pow x 2) |
(* (sqrt x) (/ 1 y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(* -1 (/ z (pow t 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)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | t | @ | 0 | ((* (neg z) (/ z (* (neg t) t))) (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (* (/ x (* y y)) x) (* (neg z) (/ z (* (neg t) t)))) (/ x (* y y)) (* y y) (+ (/ (/ (* x x) y) y) (/ (* z z) (* t t))) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* (/ (sqrt x) y) (sqrt x)) (+ (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ z (* (neg t) t)) (/ (* z z) (* t t)) (/ (sqrt x) y)) |
| 3.0ms | x | @ | -inf | ((* (neg z) (/ z (* (neg t) t))) (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (* (/ x (* y y)) x) (* (neg z) (/ z (* (neg t) t)))) (/ x (* y y)) (* y y) (+ (/ (/ (* x x) y) y) (/ (* z z) (* t t))) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* (/ (sqrt x) y) (sqrt x)) (+ (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ z (* (neg t) t)) (/ (* z z) (* t t)) (/ (sqrt x) y)) |
| 3.0ms | x | @ | inf | ((* (neg z) (/ z (* (neg t) t))) (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (* (/ x (* y y)) x) (* (neg z) (/ z (* (neg t) t)))) (/ x (* y y)) (* y y) (+ (/ (/ (* x x) y) y) (/ (* z z) (* t t))) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* (/ (sqrt x) y) (sqrt x)) (+ (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ z (* (neg t) t)) (/ (* z z) (* t t)) (/ (sqrt x) y)) |
| 2.0ms | y | @ | -inf | ((* (neg z) (/ z (* (neg t) t))) (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (* (/ x (* y y)) x) (* (neg z) (/ z (* (neg t) t)))) (/ x (* y y)) (* y y) (+ (/ (/ (* x x) y) y) (/ (* z z) (* t t))) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* (/ (sqrt x) y) (sqrt x)) (+ (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ z (* (neg t) t)) (/ (* z z) (* t t)) (/ (sqrt x) y)) |
| 2.0ms | x | @ | 0 | ((* (neg z) (/ z (* (neg t) t))) (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (/ (* (/ x y) x) y) (* (/ x y) x) (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (/ x y)) (/ x y) (+ (* (/ x (* y y)) x) (* (neg z) (/ z (* (neg t) t)))) (/ x (* y y)) (* y y) (+ (/ (/ (* x x) y) y) (/ (* z z) (* t t))) (/ (/ (* x x) y) y) (/ (* x x) y) (* x x) (* (/ (sqrt x) y) (sqrt x)) (+ (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ (* z z) (* t t))) (* (/ x y) (* (/ (sqrt x) y) (sqrt x))) (/ z (* (neg t) t)) (/ (* z z) (* t t)) (/ (sqrt x) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 193 |
| 1 | 133 | 189 |
| 2 | 488 | 188 |
| 3 | 2985 | 188 |
| 0 | 8215 | 182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow z 2) (pow t 2)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(/ (pow x 2) (pow y 2)) |
(/ (pow x 2) y) |
(/ x y) |
(/ x (pow y 2)) |
(pow x 2) |
(* (sqrt x) (/ 1 y)) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(pow y 2) |
(+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(* -1 (/ z (pow t 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)) |
| Outputs |
|---|
(/ (pow z 2) (pow t 2)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(+ (/ (pow x 2) (pow y 2)) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 z t) (/.f64 z t) (*.f64 (/.f64 (/.f64 x y) y) x)) |
(/ (pow x 2) (pow y 2)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(/ (pow x 2) y) |
(*.f64 (/.f64 x y) x) |
(/ x y) |
(/.f64 x y) |
(/ x (pow y 2)) |
(/.f64 (/.f64 x y) y) |
(pow x 2) |
(*.f64 x x) |
(* (sqrt x) (/ 1 y)) |
(/.f64 (sqrt.f64 x) y) |
(* (pow x 2) (+ (/ 1 (pow y 2)) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) |
(* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) (pow y 2))) (/ (pow z 2) (* (pow t 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) (/.f64 (/.f64 z t) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) |
(* -1 (/ (* x (pow (sqrt -1) 2)) y)) |
(/.f64 x y) |
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y))) |
(/.f64 (sqrt.f64 x) y) |
(/ (+ (/ (* (pow y 2) (pow z 2)) (pow t 2)) (pow x 2)) (pow y 2)) |
(/.f64 (fma.f64 (*.f64 y (/.f64 z t)) (*.f64 y (/.f64 z t)) (*.f64 x x)) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow t 2))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x (*.f64 (/.f64 z t) (/.f64 z t))) |
(* -1 (/ z (pow t 2))) |
(/.f64 (/.f64 (neg.f64 z) t) t) |
(* (pow z 2) (+ (/ 1 (pow t 2)) (/ (pow x 2) (* (pow y 2) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) z) (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z)) |
(/ (+ (/ (* (pow t 2) (pow x 2)) (pow y 2)) (pow z 2)) (pow t 2)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 t t) y) x) (/.f64 x y) (*.f64 z z)) (*.f64 t t)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 185 |
| 0 | 66 | 155 |
| 1 | 231 | 131 |
| 2 | 1673 | 128 |
| 0 | 9127 | 128 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 (*.f64 (/.f64 x y) x) y) |
(*.f64 (/.f64 x y) x) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(/.f64 x y) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) |
(/.f64 z (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(/.f64 (sqrt.f64 x) y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 z t) #s(literal 1 binary64)) (pow.f64 (/.f64 z t) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (/.f64 z (*.f64 (neg.f64 t) t)) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 z t) z)) t) |
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 z (/.f64 z t)) t) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (+.f64 (/.f64 x y) (/.f64 z t))) (-.f64 (/.f64 x y) (/.f64 z t))) |
(*.f64 (+.f64 (/.f64 (neg.f64 z) t) (/.f64 x y)) (-.f64 (/.f64 (neg.f64 z) t) (/.f64 x y))) |
(*.f64 (+.f64 (/.f64 z t) (/.f64 x y)) (-.f64 (/.f64 z t) (/.f64 x y))) |
(*.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 x y) (/.f64 z t)) (neg.f64 (-.f64 (/.f64 x y) (/.f64 z t)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) y) (neg.f64 t)) (neg.f64 t)) |
(/.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) y) t) t) |
(/.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (neg.f64 y) (*.f64 t (*.f64 (/.f64 x y) x))) t) (neg.f64 y)) |
(/.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) y (*.f64 t (*.f64 (/.f64 x y) x))) t) y) |
(/.f64 (/.f64 (fma.f64 (*.f64 z (/.f64 z t)) (*.f64 y y) (*.f64 t (*.f64 x x))) t) (*.f64 y y)) |
(/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) (*.f64 (neg.f64 t) t)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y))) (*.f64 (neg.f64 t) t)) y) |
(/.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 (neg.f64 t) t)) (*.f64 y y)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (*.f64 t t)) (*.f64 y y)) |
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 (neg.f64 y) (*.f64 z (/.f64 z t)))) (neg.f64 y)) t) |
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) t (*.f64 y (*.f64 z (/.f64 z t)))) y) t) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) t (*.f64 (*.f64 y y) (*.f64 z (/.f64 z t)))) (*.f64 y y)) t) |
(/.f64 (/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 y y)) (*.f64 (neg.f64 t) t)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 t t)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 z t) #s(literal 4 binary64))) (+.f64 (/.f64 x y) (/.f64 z t))) (-.f64 (/.f64 x y) (/.f64 z t))) |
(/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) (*.f64 (neg.f64 y) t)) (neg.f64 t)) |
(/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) (*.f64 y t)) t) |
(/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) (*.f64 t t)) y) |
(/.f64 (/.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y)) (neg.f64 y)) (*.f64 (neg.f64 t) t)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y))) (*.f64 t t)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y z) z (/.f64 (pow.f64 (*.f64 x t) #s(literal 2 binary64)) y))) y) (*.f64 (neg.f64 t) t)) |
(/.f64 (-.f64 (*.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 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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (/.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (-.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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
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(*.f64 (/.f64 (/.f64 z t) t) z) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z t) (/.f64 z t)) |
(*.f64 (/.f64 z (*.f64 (neg.f64 t) t)) (neg.f64 z)) |
(*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t))) |
(*.f64 z (/.f64 (/.f64 z t) t)) |
(pow.f64 (/.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) z)) (neg.f64 t)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 z t) z)) t) |
(/.f64 (*.f64 z (/.f64 (neg.f64 z) t)) (neg.f64 t)) |
(/.f64 (*.f64 (/.f64 z t) z) t) |
(/.f64 (*.f64 z (/.f64 z t)) t) |
(/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 t) t)) |
(/.f64 (*.f64 z z) (*.f64 t t)) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z t)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 x y) y))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y)) |
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (neg.f64 y))) |
(/.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 y)) |
(/.f64 (sqrt.f64 x) y) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 y))) |
(neg.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (neg.f64 (sqrt.f64 y)))) |
(neg.f64 (/.f64 (sqrt.f64 x) (neg.f64 y))) |
(sqrt.f64 (/.f64 (/.f64 x y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) y)) #s(literal 1/2 binary64)))) |
Compiled 14 271 to 1 552 computations (89.1% saved)
18 alts after pruning (10 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 5 | 569 |
| Fresh | 4 | 5 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 4 | 6 |
| Total | 571 | 18 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.7% | (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
| 88.6% | (fma.f64 (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 t y)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) | |
| 86.5% | (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) | |
| 73.8% | (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) | |
| ✓ | 81.5% | (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| 80.2% | (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) | |
| 25.8% | (/.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)))) | |
| 42.8% | (/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) | |
| ✓ | 74.8% | (+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
| ✓ | 89.0% | (+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| ✓ | 74.0% | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| 58.7% | #s(approx (+ (/ (* (/ x y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) | |
| ✓ | 55.7% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 z t) t) z)) |
| ✓ | 53.9% | #s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| 55.9% | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 x y))) | |
| 54.9% | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) | |
| ✓ | 55.9% | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
| 55.9% | #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
Compiled 1 260 to 443 computations (64.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.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 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.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))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 x y))) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z z) y) y)) x (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z t) (/.f64 (*.f64 z y) (*.f64 t y)) (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) z) z (neg.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) y))) t) (*.f64 (neg.f64 y) t)) |
(+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(/.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)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 4 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 6 binary64)) (-.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 (-.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))) (pow.f64 (/.f64 z t) #s(literal 6 binary64)))) (*.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 (+.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))))) |
| Outputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
11 calls:
| 153.0ms | t |
| 45.0ms | (*.f64 x x) |
| 12.0ms | (*.f64 t t) |
| 10.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | z |
| 97.1% | 1 | t |
| 97.1% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 97.1% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 97.1% | 1 | (*.f64 x x) |
| 97.1% | 1 | (*.f64 y y) |
| 97.1% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 97.1% | 1 | (*.f64 z z) |
| 97.1% | 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 y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.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 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.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))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (/.f64 x y))) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 z z) y) y)) x (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 z z))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z t) z) y (*.f64 t (*.f64 (/.f64 x y) x))) (*.f64 t y)) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 y) (*.f64 (*.f64 t t) (*.f64 x (/.f64 (neg.f64 x) y)))) (*.f64 (*.f64 t t) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 (/.f64 (/.f64 x y) y)) (sqrt.f64 x))) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
11 calls:
| 35.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 23.0ms | (*.f64 t t) |
| 16.0ms | y |
| 8.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 94.7% | 1 | x |
| 94.7% | 1 | y |
| 94.7% | 1 | z |
| 94.7% | 1 | t |
| 94.7% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 94.7% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 94.7% | 1 | (*.f64 x x) |
| 94.7% | 1 | (*.f64 y y) |
| 94.7% | 1 | (*.f64 z z) |
| 94.7% | 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 y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.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 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.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))) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z 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:
| 187.0ms | (*.f64 y y) |
| 9.0ms | (*.f64 z z) |
| 8.0ms | z |
| 7.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 1 | x |
| 94.7% | 2 | y |
| 92.9% | 1 | z |
| 95.1% | 2 | t |
| 92.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 95.4% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 92.9% | 1 | (*.f64 x x) |
| 92.9% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 92.9% | 1 | (*.f64 z z) |
| 95.1% | 2 | (*.f64 t t) |
| 92.9% | 1 | (*.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 y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.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 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 (/.f64 z t) z) t)) |
(+.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) y) y) (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
11 calls:
| 28.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 9.0ms | (*.f64 t t) |
| 7.0ms | x |
| 6.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 2 | z |
| 88.6% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 92.3% | 3 | (*.f64 x x) |
| 91.4% | 2 | (*.f64 y y) |
| 94.2% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 92.3% | 3 | x |
| 90.2% | 2 | (*.f64 z z) |
| 91.4% | 2 | y |
| 93.2% | 2 | (*.f64 t t) |
| 93.2% | 2 | t |
| 93.3% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
Compiled 45 to 61 computations (-35.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
4 calls:
| 4.0ms | t |
| 4.0ms | (*.f64 t t) |
| 4.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 3.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 2 | t |
| 89.5% | 2 | (*.f64 t t) |
| 91.1% | 2 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 93.8% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 18 to 23 computations (-27.8% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | (/.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 y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
| Outputs |
|---|
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
11 calls:
| 10.0ms | (*.f64 z z) |
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 4.0ms | t |
| 4.0ms | x |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | (*.f64 t t) |
| 88.8% | 3 | t |
| 84.3% | 2 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 84.6% | 2 | z |
| 84.6% | 2 | (*.f64 z z) |
| 85.2% | 2 | x |
| 85.2% | 2 | (*.f64 x x) |
| 87.7% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 88.3% | 3 | y |
| 87.6% | 3 | (*.f64 y y) |
| 87.0% | 2 | (/.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 y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) |
2 calls:
| 5.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 84.5% | 3 | t |
Compiled 8 to 11 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.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 y) x) y) (* (neg z) (/ z (* (neg t) t)))) (*.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 #s(approx (+ (* (* z z) (neg y)) (* (* t t) (* x (/ (neg x) y)))) (*.f64 (*.f64 (neg.f64 z) y) z)) (*.f64 (*.f64 t t) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) |
5 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 t t) |
| 2.0ms | (*.f64 y y) |
| 2.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| 2.0ms | (/.f64 (*.f64 x x) (*.f64 y y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | (*.f64 y y) |
| 82.9% | 3 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 78.3% | 2 | (*.f64 t t) |
| 76.6% | 2 | y |
| 85.9% | 2 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 21 to 28 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)) |
6 calls:
| 4.0ms | (*.f64 z z) |
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.6% | 3 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 73.8% | 2 | (*.f64 z z) |
| 73.8% | 2 | z |
| 67.6% | 2 | (*.f64 x x) |
| 67.6% | 2 | x |
| 85.1% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 30 to 36 computations (-20% saved)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) |
1 calls:
| 1.0ms | (/.f64 (*.f64 z z) (*.f64 t t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 3 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 7 to 7 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
11 calls:
| 1.0ms | t |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (*.f64 t t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 1 | (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 z z) (*.f64 t t))) |
| 53.9% | 1 | (*.f64 x x) |
| 53.9% | 1 | x |
| 53.9% | 1 | z |
| 53.9% | 1 | (*.f64 z z) |
| 53.9% | 1 | y |
| 53.9% | 1 | (*.f64 y y) |
| 53.9% | 1 | (*.f64 t t) |
| 53.9% | 1 | (/.f64 (*.f64 x x) (*.f64 y y)) |
| 53.9% | 1 | t |
| 53.9% | 1 | (/.f64 (*.f64 z z) (*.f64 t t)) |
Compiled 45 to 61 computations (-35.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.335694226090451e+104 | 4.1004739682755857e+108 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.689392185379513e+261 | 1.1083650635216402e+265 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.689392185379513e+261 | 1.1083650635216402e+265 |
| 0.0ms | 0.0 | 2e-323 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5647842647345976e-79 | 1.729469607081585e-64 |
Compiled 18 to 18 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.1864397500472356e+153 | 1.62363984022883e+160 |
| 11.0ms | 9.674555891189908e-230 | 4.364013865099073e-228 |
| 19.0ms | 256× | 0 | valid |
Compiled 682 to 493 computations (27.7% saved)
ival-mult: 8.0ms (65.9% of total)ival-div: 3.0ms (24.7% of total)ival-add: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5664700584864967e+212 | 3.3365809574924927e+239 |
| 0.0ms | 1.5647842647345976e-79 | 1.729469607081585e-64 |
Compiled 18 to 18 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5647842647345976e-79 | 1.729469607081585e-64 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.5647842647345976e-79 | 1.729469607081585e-64 |
Compiled 18 to 18 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 1.5647842647345976e-79 | 1.729469607081585e-64 |
Compiled 18 to 18 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 641 |
| 1 | 143 | 641 |
| 2 | 317 | 639 |
| 3 | 890 | 639 |
| 4 | 1731 | 639 |
| 5 | 2042 | 639 |
| 6 | 2299 | 639 |
| 7 | 3818 | 639 |
| 8 | 5074 | 639 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z 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 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 t #s(literal 4352879821783969/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256 binary64)) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 t #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (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 (*.f64 t t)) z)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (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 (*.f64 t t)) z)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 (/.f64 x y) y) x (pow.f64 (/.f64 z t) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 (/.f64 z t) z) t)) |
(if (<=.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z 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 x x) (*.f64 y y)) #s(literal 999999999999999938258300825281978540327027364472124478294416212538871491824599713636820527503908255301632 binary64)) (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 z t) (/.f64 z t))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (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 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 0 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 5000000000000000080864196475047917390480863560766234054837788814802707676501789421806676124822026821440952665165919815755816086233746458697662077001272823792217174549282301297790469616246499440354456781353533234380180747355509156821802718767934507722333315137536 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) x (/.f64 (*.f64 z z) (*.f64 t t))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 (/.f64 z t) z) t))) |
(if (<=.f64 t #s(literal 4352879821783969/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256 binary64)) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 t #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 (neg.f64 z) (/.f64 z (*.f64 (neg.f64 t) t)))) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (<=.f64 t #s(literal 4352879821783969/1707011694817242694164442058424641996069058130512872489061441999811593532881313810309486643423117898430190057111918909554147533223454557460573019149396692491800360340355587726966548041193424390330615044130786970107312831497593974090537952608256 binary64)) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))) (if (<=.f64 t #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 z (/.f64 z (*.f64 t t)))) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) x (/.f64 (*.f64 z z) (*.f64 t t))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t))))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z t) (/.f64 z t)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (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 (*.f64 t t)) z)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z (*.f64 t t)) z)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 (/.f64 x y) y) x)))) |
(if (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) (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 (*.f64 t t)) z)) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(if (or (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal 1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (not (<=.f64 (/.f64 (*.f64 z z) (*.f64 t t)) #s(literal +inf.0 binary64)))) #s(approx (+ (* (/ x y) (* (sqrt (/ (/ x y) y)) (sqrt x))) (/ (* z z) (* t t))) (*.f64 (/.f64 x y) (/.f64 x y))) #s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z (*.f64 t t)) z))) |
#s(approx (+ (/ (* x x) (* y y)) (/ (* z z) (* t t))) (*.f64 (/.f64 z (*.f64 t t)) z)) |
#s(approx (+ (* (/ (/ x y) y) x) (pow (/ z t) 2)) (*.f64 (/.f64 z (*.f64 t t)) z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 217 |
| 1 | 142 | 211 |
| 2 | 519 | 210 |
| 3 | 3001 | 210 |
| 0 | 8600 | 204 |
| 0 | 68 | 297 |
| 1 | 225 | 290 |
| 2 | 879 | 290 |
| 3 | 5648 | 290 |
| 0 | 8129 | 278 |
| 0 | 29 | 98 |
| 1 | 65 | 98 |
| 2 | 257 | 98 |
| 3 | 2260 | 98 |
| 0 | 8293 | 93 |
| 0 | 11 | 38 |
| 0 | 18 | 38 |
| 1 | 76 | 30 |
| 2 | 758 | 30 |
| 0 | 9059 | 30 |
| 0 | 40 | 185 |
| 0 | 66 | 155 |
| 1 | 231 | 131 |
| 2 | 1673 | 128 |
| 0 | 9127 | 128 |
| 0 | 36 | 182 |
| 0 | 60 | 147 |
| 1 | 215 | 147 |
| 2 | 1698 | 143 |
| 0 | 8142 | 143 |
| 0 | 55 | 193 |
| 1 | 133 | 189 |
| 2 | 488 | 188 |
| 3 | 2985 | 188 |
| 0 | 8215 | 182 |
| 0 | 38 | 186 |
| 0 | 63 | 159 |
| 1 | 216 | 129 |
| 2 | 1569 | 128 |
| 0 | 9700 | 128 |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 246 to 883 computations (60.7% saved)
(abs x)
(abs y)
(abs z)
(abs t)
Compiled 1 554 to 372 computations (76.1% saved)
Loading profile data...