
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 746.0ms | 8 256× | 0 | valid |
ival-sin: 249.0ms (50.5% of total)ival-div: 152.0ms (30.8% of total)ival-mult: 80.0ms (16.2% of total)ival-true: 6.0ms (1.2% of total)ival-assert: 4.0ms (0.8% of total)adjust: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 10 | 1 | (-4.4696411487230144e-296 8.053925844122762e+109 7.150020851149719e-84) | 1 | (1.0875344142630357e-178 3.1649696753276224e+137 -4.433471475474103e-100) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 10 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 9 | 1 |
| - | 1 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 9 | 0 | 1 |
| - | 1 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 12.0ms (51.8% of total)ival-div: 7.0ms (30.2% of total)ival-mult: 3.0ms (13% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 73 | 75 |
| 2 | 183 | 75 |
| 3 | 412 | 75 |
| 4 | 874 | 75 |
| 5 | 1621 | 75 |
| 6 | 2365 | 75 |
| 7 | 4126 | 75 |
| 8 | 7396 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 34 | 8 |
| 4 | 46 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(abs y)
(negabs z)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.3% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 34 | 23 |
| 4 | 46 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.1328125 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 2.30940509903088 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 19.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 6.0ms (53.7% of total)ival-div: 3.0ms (26.8% of total)ival-mult: 2.0ms (17.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 3.0ms | y | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) z) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) z) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (sin.f64 y) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z))) y) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 (neg.f64 x) y)) (*.f64 (neg.f64 (sin.f64 y)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) z)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) z)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (/.f64 x z)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) x) (*.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z)) y) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 (neg.f64 x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 z y)) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x)) (*.f64 z y))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 z y)) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y))) (*.f64 z y))) |
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(sin.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (-.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (PI.f64) (neg.f64 y))) |
(sin.f64 y) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)))) (*.f64 (sin.f64 y) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 y) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (cos.f64 y))) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(-.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(cos.f64 (neg.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))))) |
(cos.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (-.f64 (neg.f64 y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (neg.f64 y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (-.f64 (neg.f64 y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (neg.f64 y)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 y (/.f64 (+.f64 (PI.f64) (PI.f64)) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (-.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 (+.f64 (PI.f64) (neg.f64 y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 (PI.f64))) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 y))) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (PI.f64) (PI.f64)))) (*.f64 (cos.f64 y) (sin.f64 (+.f64 (PI.f64) (PI.f64))))) |
(+.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
Compiled 4 287 to 984 computations (77% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 212 | 11 | 223 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 213 | 11 | 224 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 55.7% | (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z))) | |
| 88.0% | (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) | |
| 66.0% | (/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| 82.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 50.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| 85.9% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| ▶ | 98.0% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 83.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 54.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 320 to 238 computations (25.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 2 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 0 | 49 | 168 |
| 1 | 100 | 168 |
| 2 | 252 | 168 |
| 3 | 762 | 168 |
| 4 | 2446 | 168 |
| 5 | 4517 | 168 |
| 6 | 5969 | 168 |
| 0 | 8030 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
z |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) |
x |
(fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) |
(*.f64 #s(literal 1/120 binary64) y) |
#s(literal 1/120 binary64) |
y |
#s(literal -1/6 binary64) |
(*.f64 y y) |
z |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.30940509903088 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| accuracy | 7.302171077922995 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.188098997553501 | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 6.4127329135973445 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.1015625 | (*.f64 #s(literal 1/120 binary64) y) | |
| accuracy | 2.30940509903088 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) | |
| accuracy | 3.70654950409878 | (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) | |
| accuracy | 32.55246170048814 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 28.869431716041532 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 1.262878977433035 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 86.0ms | 256× | 0 | valid |
Compiled 144 to 28 computations (80.6% saved)
ival-sin: 23.0ms (35.1% of total)ival-div: 17.0ms (25.9% of total)ival-mult: 14.0ms (21.4% of total)const: 6.0ms (9.2% of total)ival-add: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(* x (sin y)) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* 1/120 y) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (* 1/120 y) (neg y)) |
| 4.0ms | y | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (* 1/120 y) (neg y)) |
| 4.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (* 1/120 y) (neg y)) |
| 4.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (* 1/120 y) (neg y)) |
| 4.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (/ x (* (neg y) z)) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (* 1/120 y) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 457 |
| 1 | 351 | 451 |
| 2 | 1191 | 429 |
| 3 | 3496 | 427 |
| 0 | 8193 | 391 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1 (/ x (* y z))) |
(* x (sin y)) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* 1/120 y) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 y y)) #s(literal 1/6 binary64))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)) y)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) y) y (*.f64 #s(literal -1/6 binary64) x)) (*.f64 x y)) |
(* 1/120 y) |
(*.f64 #s(literal 1/120 binary64) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 134 |
| 0 | 49 | 132 |
| 1 | 142 | 132 |
| 2 | 726 | 132 |
| 3 | 6382 | 132 |
| 0 | 8245 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(neg.f64 (sin.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 #s(literal 1/120 binary64) y) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
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(sin.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) y)) |
(sin.f64 (neg.f64 y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64))))) (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 y (PI.f64)))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y))))) (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (*.f64 y y)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (neg.f64 y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 y (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 y)) #s(literal 0 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 y) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) y) (*.f64 y y)))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) |
(+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (neg.f64 x) (*.f64 z y)) |
(/.f64 (/.f64 x z) (neg.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (neg.f64 x)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) x) (neg.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) (neg.f64 (sin.f64 y)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(fma.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y)) |
(neg.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y)))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y))) |
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (neg.f64 x) y)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (/.f64 (neg.f64 x) y))) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(+.f64 (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 x)) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (cos.f64 y)))) |
(*.f64 #s(literal 1/120 binary64) y) |
(*.f64 y #s(literal 1/120 binary64)) |
(neg.f64 y) |
Compiled 13 793 to 1 747 computations (87.3% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 8 | 459 |
| Fresh | 4 | 2 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 456 | 14 | 470 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| ▶ | 88.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 82.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| ▶ | 48.7% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
| ✓ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ▶ | 50.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
| 85.9% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| 49.2% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 83.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ▶ | 87.3% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 42.3% | (*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ▶ | 53.0% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 54.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 362 to 282 computations (22.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 2 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) | |
| cost-diff | 2 | (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) | |
| cost-diff | 0 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| cost-diff | 0 | (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (sin.f64 y)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 297 |
| 0 | 65 | 295 |
| 1 | 132 | 283 |
| 2 | 358 | 281 |
| 3 | 1273 | 281 |
| 4 | 2923 | 281 |
| 5 | 4250 | 281 |
| 6 | 4704 | 281 |
| 7 | 5476 | 281 |
| 8 | 7544 | 281 |
| 0 | 8092 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
y |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
x |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
z |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) z) x) |
(/.f64 x z) |
x |
z |
(sin.f64 y) |
y |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
(*.f64 y y) |
y |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(fma.f64 (*.f64 y y) (*.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) |
(*.f64 (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
x |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) y) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
z |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(neg.f64 x) |
x |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 4.018522722168745 | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| accuracy | 5.9298963887443215 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) | |
| accuracy | 2.30940509903088 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) | |
| accuracy | 6.352508785339944 | (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) | |
| accuracy | 13.589843750000002 | (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) | |
| accuracy | 32.55246170048814 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 2.30940509903088 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) | |
| accuracy | 32.55246170048814 | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) | |
| accuracy | 33.0696743714311 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 4.188098997553501 | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| accuracy | 6.4127329135973445 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 32.474429817750035 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 2.5870344668839502 | (*.f64 (/.f64 x z) (sin.f64 y)) | |
| accuracy | 7.676116414721938 | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 107.0ms | 256× | 0 | valid |
Compiled 211 to 38 computations (82% saved)
const: 36.0ms (42.2% of total)ival-mult: 25.0ms (29.3% of total)ival-div: 10.0ms (11.7% of total)ival-sin: 6.0ms (7% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 3.0ms (3.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) z) |
(/ x z) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* -1 x) |
(* -1/6 x) |
(* 1/120 (* x (pow y 2))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (+ (* -1/120 (pow y 4)) (* 1/6 (pow y 2))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(sin y) |
(* -1 (sin y)) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (/ (sin y) (* y z))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* (* (* y y) 1/120) x) y) y) (+ (* (* (* -1/6 x) y) y) x)) (* (* (* (* y y) 1/120) x) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (* -1/6 x) (* (* (* y y) 1/120) x)) |
| 6.0ms | x | @ | inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* (* (* y y) 1/120) x) y) y) (+ (* (* (* -1/6 x) y) y) x)) (* (* (* (* y y) 1/120) x) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (* -1/6 x) (* (* (* y y) 1/120) x)) |
| 5.0ms | x | @ | 0 | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* (* (* y y) 1/120) x) y) y) (+ (* (* (* -1/6 x) y) y) x)) (* (* (* (* y y) 1/120) x) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (* -1/6 x) (* (* (* y y) 1/120) x)) |
| 4.0ms | z | @ | inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* (* (* y y) 1/120) x) y) y) (+ (* (* (* -1/6 x) y) y) x)) (* (* (* (* y y) 1/120) x) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (* -1/6 x) (* (* (* y y) 1/120) x)) |
| 4.0ms | y | @ | inf | ((/ (* (/ x z) (sin y)) y) (* (/ x z) (sin y)) (/ x z) (sin y) (* (neg (sin y)) (/ x (* (neg y) z))) (neg (sin y)) (neg y) (/ x (* (neg y) z)) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* x (+ (* (* 1/120 y) y) -1/6)) (* y y)) x) (* x (+ (* (* 1/120 y) y) -1/6)) (+ (* (* (* (* (* y y) 1/120) x) y) y) (+ (* (* (* -1/6 x) y) y) x)) (* (* (* (* y y) 1/120) x) y) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (* -1/6 x) (* (* (* y y) 1/120) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 551 |
| 1 | 444 | 531 |
| 2 | 1474 | 505 |
| 3 | 4315 | 499 |
| 0 | 8224 | 463 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) z) |
(/ x z) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* -1 x) |
(* -1/6 x) |
(* 1/120 (* x (pow y 2))) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(* -1 (* x (- (+ (* -1/120 (pow y 4)) (* 1/6 (pow y 2))) 1))) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* x y) z) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(sin y) |
(* -1 (sin y)) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (/ (sin y) (* y z))) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) z) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x x) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* x (+ 1 (+ (* -1/6 (pow y 2)) (* 1/120 (pow y 4))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x x) |
(* 1/120 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1/120 (pow y 4)) (* 1/6 (pow y 2))) 1))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x)) z) |
(/ (* x y) z) |
(*.f64 (/.f64 x z) y) |
(* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) y) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x x)) z) |
(* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x)) z) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 y #s(literal 3 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) x x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y (fma.f64 (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) (pow.f64 y #s(literal 4 binary64)) x)) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 4 binary64))) z) (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) z)) |
(sin y) |
(sin.f64 y) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) y) y) #s(literal -1/120 binary64)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64))) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 240 |
| 0 | 65 | 238 |
| 1 | 194 | 226 |
| 2 | 1140 | 224 |
| 0 | 8289 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(/.f64 x z) |
(sin.f64 y) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) |
(fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x)) |
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(neg.f64 x) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (neg.f64 (neg.f64 y))) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 (neg.f64 y))) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x (neg.f64 (neg.f64 y)))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) (neg.f64 (neg.f64 y)))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y))) |
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 (sin.f64 y))) |
(*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (/.f64 x z)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) z)) |
(*.f64 (sin.f64 y) (/.f64 x z)) |
(*.f64 (/.f64 x z) (neg.f64 (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 x z) (sin.f64 y)) |
(*.f64 x (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) z) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) z) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 x)) z) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(sin.f64 y) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 (neg.f64 y))) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z)) (/.f64 x y)) |
(*.f64 (/.f64 x y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 (neg.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y)) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) (neg.f64 y))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y)))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) (neg.f64 y)) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y)) z) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) y)) |
(neg.f64 (*.f64 (/.f64 #s(approx (neg (sin y)) (neg.f64 y)) y) (/.f64 x z))) |
(neg.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 x z) y))) |
(neg.f64 (*.f64 (/.f64 (/.f64 x z) y) #s(approx (neg (sin y)) (neg.f64 y)))) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 y z)) |
(/.f64 (/.f64 x y) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (neg.f64 x) (*.f64 y z)) |
(/.f64 (/.f64 x z) (neg.f64 y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))) |
(neg.f64 (/.f64 (/.f64 x y) z)) |
(neg.f64 (/.f64 (/.f64 x z) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)))) z) |
(/.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))) (neg.f64 z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) (neg.f64 x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 y))) x) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 x (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) (*.f64 (neg.f64 (neg.f64 z)) y)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) (sin.f64 y)) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(neg.f64 (*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) (neg.f64 x))) |
(neg.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y))) |
(neg.f64 x) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 y)))) (*.f64 y z)) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) z) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 y z)) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) z) y)) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) y) z)) |
(-.f64 (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 y z)) (/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 y z))) |
(+.f64 (/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 y z)) (/.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)) (*.f64 y z))) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 (*.f64 x (*.f64 y y)) #s(literal 1/120 binary64)) |
(*.f64 (*.f64 x (*.f64 #s(literal 1/120 binary64) y)) y) |
(*.f64 (*.f64 y x) (*.f64 #s(literal 1/120 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/120 binary64) x) (*.f64 y y)) |
(*.f64 (*.f64 y y) (*.f64 #s(literal 1/120 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) y) y) x) |
(*.f64 (*.f64 #s(literal 1/120 binary64) y) (*.f64 y x)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 y y) x)) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 #s(literal 1/120 binary64) x))) |
(*.f64 y (*.f64 y (*.f64 #s(literal 1/120 binary64) x))) |
(*.f64 y (*.f64 (*.f64 #s(literal 1/120 binary64) y) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/120 binary64) y) y)) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 y y)) x)) |
Compiled 11 920 to 1 187 computations (90% saved)
21 alts after pruning (13 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 313 | 8 | 321 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 314 | 21 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 41.6% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) | |
| ▶ | 52.1% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
| ✓ | 88.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 82.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 48.9% | (/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) | |
| 44.8% | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) | |
| ✓ | 48.7% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
| ▶ | 50.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ▶ | 85.9% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 49.2% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 83.6% | (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 87.3% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| ▶ | 54.7% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| ▶ | 50.7% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
| 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 42.3% | (*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 52.4% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) | |
| ✓ | 53.0% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 54.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 507 to 402 computations (20.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) | |
| cost-diff | 0 | (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) | |
| cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 277 |
| 0 | 68 | 277 |
| 1 | 125 | 277 |
| 2 | 256 | 277 |
| 3 | 595 | 277 |
| 4 | 1116 | 277 |
| 5 | 1610 | 277 |
| 6 | 2008 | 277 |
| 7 | 2560 | 277 |
| 8 | 3916 | 277 |
| 9 | 5729 | 277 |
| 0 | 8151 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
z |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(literal -1/6 binary64) |
x |
y |
z |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (neg (sin y)) (neg.f64 y)) |
(neg.f64 y) |
z |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(*.f64 #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) z))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) z))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23828125 | (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) | |
| accuracy | 4.018522722168745 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 7.0304611006729445 | (/.f64 (*.f64 y y) z) | |
| accuracy | 32.47042101453723 | #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 2.30940509903088 | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) | |
| accuracy | 7.250104419468039 | (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) | |
| accuracy | 32.474429817750035 | #s(approx (neg (sin y)) (neg.f64 y)) | |
| accuracy | 0.328125 | (*.f64 #s(literal -1/6 binary64) x) | |
| accuracy | 2.30940509903088 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) | |
| accuracy | 32.55246170048814 | #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) | |
| accuracy | 33.0696743714311 | #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 4.018522722168745 | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 32.03483708984733 | #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 4.188098997553501 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| accuracy | 4.968763779947181 | (/.f64 (/.f64 x y) z) |
| 111.0ms | 256× | 0 | valid |
Compiled 189 to 40 computations (78.8% saved)
ival-add: 29.0ms (32.2% of total)ival-mult: 24.0ms (26.6% of total)ival-div: 16.0ms (17.7% of total)const: 9.0ms (10% of total)ival-sin: 7.0ms (7.8% of total)ival-neg: 3.0ms (3.3% of total)ival-sub: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x y) |
(* -1 x) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (/ x y)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ (pow y 2) z) |
(* 1/6 (/ (pow y 2) z)) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
(* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (neg x) (/ (sin y) (* (neg y) z))) (/ (sin y) (* (neg y) z)) (- (* (/ (* y y) z) 1/6) (/ 1 z)) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (/ (* y y) z) (* (/ (* y y) z) 1/6)) |
| 9.0ms | y | @ | 0 | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (neg x) (/ (sin y) (* (neg y) z))) (/ (sin y) (* (neg y) z)) (- (* (/ (* y y) z) 1/6) (/ 1 z)) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (/ (* y y) z) (* (/ (* y y) z) 1/6)) |
| 4.0ms | x | @ | -inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (neg x) (/ (sin y) (* (neg y) z))) (/ (sin y) (* (neg y) z)) (- (* (/ (* y y) z) 1/6) (/ 1 z)) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (/ (* y y) z) (* (/ (* y y) z) 1/6)) |
| 4.0ms | x | @ | inf | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (neg x) (/ (sin y) (* (neg y) z))) (/ (sin y) (* (neg y) z)) (- (* (/ (* y y) z) 1/6) (/ 1 z)) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (/ (* y y) z) (* (/ (* y y) z) 1/6)) |
| 4.0ms | x | @ | 0 | ((* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (/ x y) (sin y) (* (neg x) (/ (sin y) (* (neg y) z))) (neg x) (/ (sin y) (* (neg y) z)) (/ -1 z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (+ (* (* (* x (+ (* (* 1/120 y) y) -1/6)) y) y) x) (* (* x (+ (* (* 1/120 y) y) -1/6)) y) (/ (* (/ (neg x) y) (neg (sin y))) z) (* (/ (neg x) y) (neg (sin y))) (/ (neg x) y) (* (neg x) (/ (sin y) (* (neg y) z))) (/ (sin y) (* (neg y) z)) (- (* (/ (* y y) z) 1/6) (/ 1 z)) (* x (+ (* (* 1/120 y) y) -1/6)) (* -1/6 x) (neg (sin y)) (/ (* y y) z) (* (/ (* y y) z) 1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 541 |
| 1 | 453 | 527 |
| 2 | 1521 | 500 |
| 3 | 4534 | 498 |
| 0 | 8181 | 468 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x y) |
(* -1 x) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(* -1 (/ x y)) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(* -1/6 x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(* -1/6 (* x y)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ (pow y 2) z) |
(* 1/6 (/ (pow y 2) z)) |
(sin y) |
(* -1 (/ (sin y) (* y z))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 3))) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(* 1/120 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* -1 (sin y)) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
(* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x y) |
(/.f64 x y) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(* x (* y (- (* 1/120 (pow y 2)) 1/6))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1))) |
(*.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) (neg.f64 x)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/6 binary64))) y) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) z) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64))) z) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) z) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 (*.f64 y x) #s(literal -1/6 binary64)) y (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) x)) |
(* -1/6 (* x y)) |
(*.f64 (*.f64 y x) #s(literal -1/6 binary64)) |
(* y (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) y) |
(+ (* -1/6 x) (* 1/120 (* x (pow y 2)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/120 binary64)) #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 y y)) #s(literal 1/120 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* 1/6 (/ (pow y 2) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
(sin y) |
(sin.f64 y) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y) |
(* 1/120 (* x (pow y 4))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) |
(* 1/120 (* x (pow y 3))) |
(*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 1/120 binary64)) |
(* (pow y 3) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(* (pow y 2) (- (* 1/6 (/ 1 z)) (/ 1 (* (pow y 2) z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) z))) (*.f64 y y)) |
(* 1/120 (* x (pow y 2))) |
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/120 binary64)) |
(* (pow y 2) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) x) y) y (*.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 1 binary64))) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (* (pow y 3) (+ (* -1/120 x) (* 1/6 (/ x (pow y 2)))))) |
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) |
(/ (- (* 1/6 (pow y 2)) 1) z) |
(/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) z) |
(* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 247 |
| 0 | 68 | 247 |
| 1 | 186 | 241 |
| 2 | 948 | 241 |
| 0 | 8494 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
(sin.f64 y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 x) |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) |
(fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x) |
(*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z))) |
(-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)) |
#s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) |
(*.f64 #s(literal -1/6 binary64) x) |
#s(approx (neg (sin y)) (neg.f64 y)) |
(/.f64 (*.f64 y y) z) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)) z)) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 z))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 (/.f64 (neg.f64 x) y) z))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) (sin.f64 y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x (*.f64 z y)) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (neg.f64 (+.f64 (PI.f64) y))) |
(sin.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) y) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 y) (PI.f64))) |
(sin.f64 y) |
(cos.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (neg.f64 y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 (*.f64 (cos.f64 y) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) x) |
(*.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 x (neg.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)))) |
(neg.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))))) |
(neg.f64 (*.f64 #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) x)) |
(neg.f64 x) |
#s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 z) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x))) (neg.f64 z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) z) |
(neg.f64 (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) (neg.f64 z))) |
#s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)) |
(neg.f64 (neg.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 y) y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) #s(literal 2 binary64)) (*.f64 x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x))) x)))) |
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(*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y y) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y y) z)) |
(*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 y y) (*.f64 (/.f64 #s(literal 1/6 binary64) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 y y) (/.f64 #s(literal 1/6 binary64) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1/6 binary64))) |
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/6 binary64) z))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) #s(literal 1/6 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 y (*.f64 y (/.f64 #s(literal 1/6 binary64) z))) |
(*.f64 y (*.f64 (*.f64 y #s(literal 1/6 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 y (*.f64 (*.f64 (/.f64 y z) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 y (*.f64 (/.f64 y z) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) z) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) z))) |
(neg.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64))) |
Compiled 9 280 to 1 118 computations (88% saved)
23 alts after pruning (12 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 6 | 288 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 7 | 8 |
| Total | 286 | 23 | 309 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 41.6% | (/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) | |
| 43.1% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) | |
| ✓ | 52.1% | (/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
| ✓ | 88.0% | (/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| 82.9% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 48.9% | (/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) | |
| 44.8% | (/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) | |
| ✓ | 48.7% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
| ✓ | 50.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
| ✓ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
| ✓ | 85.9% | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| 83.6% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| 49.2% | (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| ✓ | 87.3% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
| 50.8% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) | |
| ✓ | 54.7% | (*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 42.3% | (*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) | |
| 52.4% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) | |
| ✓ | 53.0% | (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| ✓ | 54.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 50.7% | #s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
Compiled 875 to 432 computations (50.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 (sin.f64 y))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 (cos.f64 y) (sin.f64 (neg.f64 (PI.f64))))) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 3 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (cos.f64 y))))) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
6 calls:
| 25.0ms | y |
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 9.0ms | x |
| 9.0ms | z |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (/.f64 (sin.f64 y) y) |
| 98.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.0% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.8% | 2 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x z) (sin.f64 y)) y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
6 calls:
| 25.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | (/.f64 (sin.f64 y) y) |
| 98.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.0% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | x |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
6 calls:
| 33.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 28.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| 6.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 2 | (/.f64 (sin.f64 y) y) |
| 87.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 89.6% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 87.3% | 1 | x |
| 93.7% | 2 | y |
| 87.3% | 1 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
2 calls:
| 6.0ms | y |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.6% | 2 | (/.f64 (sin.f64 y) y) |
| 93.6% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) (*.f64 y y) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(approx (* x (+ (* (* 1/120 y) y) -1/6)) (*.f64 #s(literal -1/6 binary64) x)) y) y x)) z) |
(/.f64 #s(approx (* (/ x z) (sin y)) (*.f64 (/.f64 x z) y)) y) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) z)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (neg.f64 y))) z) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) x) z) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (neg.f64 x)) z) y) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/120 binary64) y) y #s(literal -1/6 binary64))) (*.f64 y y) x)) z) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (fma.f64 (/.f64 y z) (*.f64 y #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (-.f64 (*.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(approx (neg (sin y)) (*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y y)) #s(literal 1 binary64)) y))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 1/120 binary64)) x) y) y (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) y) y x))) z) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
6 calls:
| 23.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 5.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 61.3% | 2 | z |
| 61.1% | 2 | x |
| 65.1% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 63.4% | 2 | (/.f64 (sin.f64 y) y) |
| 63.7% | 2 | y |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
| Outputs |
|---|
#s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 17.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 2 | (/.f64 (sin.f64 y) y) |
| 64.9% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 63.2% | 2 | y |
Compiled 13 to 15 computations (-15.4% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (neg (sin y)) (neg.f64 y))) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 #s(approx (neg (sin y)) (neg.f64 y))) x) (*.f64 z y)) |
| Outputs |
|---|
(*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 2 | (/.f64 (sin.f64 y) y) |
| 63.1% | 2 | y |
| 63.0% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 13 to 15 computations (-15.4% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (neg.f64 x) #s(approx (/ (sin y) (* (neg y) z)) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 1 | x |
| 54.9% | 1 | z |
| 54.9% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 54.9% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 54.9% | 1 | y |
| 54.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.73695728189265e+89 | 7.679571114445496e+89 |
| 5.0ms | 64× | 0 | valid |
Compiled 75 to 77 computations (-2.7% saved)
ival-sin: 2.0ms (60.7% of total)ival-div: 1.0ms (30.3% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 7.439723409414157e+85 | 9.740537684751386e+85 |
| 3.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-div: 1.0ms (49.8% of total)ival-sin: 1.0ms (49.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 4.9513634282940316e-14 | 5.045784068759375e-11 |
| 51.0ms | 128× | 0 | valid |
Compiled 171 to 157 computations (8.2% saved)
ival-div: 2.0ms (48.3% of total)ival-sin: 2.0ms (48.3% of total)ival-mult: 1.0ms (24.1% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.472085691951723e-5 | 0.005386838068751228 |
| 6.0ms | 112× | 0 | valid |
Compiled 172 to 160 computations (7% saved)
ival-div: 1.0ms (28.8% of total)ival-mult: 1.0ms (28.8% of total)ival-sin: 1.0ms (28.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.943219699528715e+52 | 4.359774566765009e+52 |
| 5.0ms | 64× | 0 | valid |
Compiled 123 to 109 computations (11.4% saved)
ival-sin: 2.0ms (55.1% of total)ival-div: 1.0ms (27.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.274753050290614e-234 | 7.750398644253975e-217 |
| 0.0ms | -2.2188305404953922e-189 | -6.716113752413035e-206 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.394270852030882e-79 | 1.4149363326952476e-78 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 241 |
| 1 | 90 | 241 |
| 2 | 119 | 241 |
| 3 | 151 | 241 |
| 4 | 190 | 241 |
| 5 | 243 | 241 |
| 6 | 407 | 241 |
| 7 | 947 | 241 |
| 8 | 2118 | 241 |
| 9 | 5411 | 241 |
| 10 | 6962 | 241 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 600000000000000025121752487604978867227527674590789306971392518401353181175546291502972928 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)) |
(if (<=.f64 x #s(literal 74999999999999994195555795510051689887997361812823676994786836867348172156311892393984 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(if (<=.f64 y #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 4242751136953197/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 30999999999999999789849408905210467270312961700265984 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) #s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 8949657474523425/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 600000000000000025121752487604978867227527674590789306971392518401353181175546291502972928 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)) |
(if (<=.f64 x #s(literal 74999999999999994195555795510051689887997361812823676994786836867348172156311892393984 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(if (<=.f64 y #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 y #s(literal 4242751136953197/18446744073709551616 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 y #s(literal 30999999999999999789849408905210467270312961700265984 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) #s(approx (* (/ (/ x y) z) (sin y)) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 8949657474523425/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -5016456510113119/2508228255056559327717299405517639477515382672702395372151508761915556027554073725754578846110147691358081325939263447624692646145908262187541873345685902047135936580242368983360130194608842238078734041088 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 x (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 8949657474523425/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 8343699359066055/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 22 | 20 |
| 2 | 69 | 20 |
| 3 | 266 | 20 |
| 4 | 1100 | 20 |
| 0 | 8256 | 20 |
| 0 | 145 | 541 |
| 1 | 453 | 527 |
| 2 | 1521 | 500 |
| 3 | 4534 | 498 |
| 0 | 8181 | 468 |
| 0 | 45 | 247 |
| 0 | 68 | 247 |
| 1 | 186 | 241 |
| 2 | 948 | 241 |
| 0 | 8494 | 236 |
| 0 | 108 | 457 |
| 1 | 351 | 451 |
| 2 | 1191 | 429 |
| 3 | 3496 | 427 |
| 0 | 8193 | 391 |
| 0 | 62 | 230 |
| 1 | 211 | 224 |
| 2 | 765 | 206 |
| 3 | 3439 | 200 |
| 4 | 7705 | 200 |
| 0 | 8152 | 180 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 241 to 61 computations (74.7% saved)
(negabs z)
(abs y)
Compiled 730 to 274 computations (62.5% saved)
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