Linear.Quaternion:$ctanh from linear-1.19.1.3
Time bar (total: 6.3s)
| 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)
| 631.0ms | 8 256× | 0 | valid |
ival-sin: 208.0ms (50.2% of total)ival-div: 129.0ms (31.1% of total)ival-mult: 67.0ms (16.2% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 12 | 0 | - | 1 | (-9.47520670866725e-81 -4.95415435363161e+240 4.148003049609193e-239) | (/.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 | 11 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 1 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 1 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 12.0ms (52.4% of total)ival-div: 7.0ms (30.5% of total)ival-mult: 3.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 87 | 75 |
| 2 | 252 | 75 |
| 3 | 913 | 75 |
| 4 | 2924 | 75 |
| 5 | 5064 | 75 |
| 6 | 6003 | 75 |
| 7 | 6093 | 75 |
| 8 | 6138 | 75 |
| 9 | 6179 | 75 |
| 10 | 6229 | 75 |
| 11 | 6769 | 75 |
| 12 | 7027 | 75 |
| 13 | 7039 | 75 |
| 14 | 7039 | 75 |
| 15 | 7039 | 75 |
| 16 | 7197 | 75 |
| 17 | 7309 | 75 |
| 18 | 7441 | 75 |
| 19 | 7497 | 75 |
| 20 | 7497 | 75 |
| 21 | 7497 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 37 | 8 |
| 4 | 48 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 95.6% | (/.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 | 37 | 23 |
| 4 | 48 | 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 | 0.08984375 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.7718153530568452 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 20.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 6.0ms (54% of total)ival-div: 3.0ms (27% of total)ival-mult: 2.0ms (18% of total)ival-true: 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 | |
|---|---|---|---|---|
| 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)) |
| 1.0ms | 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 | 181 | 230 |
| 2 | 523 | 210 |
| 3 | 1572 | 202 |
| 4 | 2546 | 202 |
| 5 | 4172 | 202 |
| 6 | 4839 | 202 |
| 7 | 5070 | 202 |
| 8 | 5570 | 202 |
| 0 | 8714 | 178 |
| 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 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 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)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5332 | 20 |
| 0 | 8158 | 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 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x z) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y x)) (sin.f64 y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 (*.f64 z z))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)) |
(*.f64 (/.f64 x (/.f64 (neg.f64 z) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x (/.f64 z (sin.f64 y))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 z) (sin.f64 y)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (/.f64 y (sin.f64 y)) x))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 (sin.f64 y) x) z))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 z x))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (sin.f64 y) x) z)) |
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(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sin.f64 y) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (sin.f64 y) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (sin.f64 y) y) x #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (/.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(+.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 0 binary64)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 2 binary64))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))) y) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (sin.f64 y))) (*.f64 y y)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) y) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (sin.f64 y)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 y) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
Compiled 4 824 to 1 057 computations (78.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 356 | 9 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 357 | 9 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| 78.6% | (/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) | |
| 84.6% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 52.0% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 93.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 90.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| ▶ | 57.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ▶ | 50.3% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
| 87.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
Compiled 224 to 176 computations (21.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (*.f64 (/.f64 z x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| cost-diff | 2 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) | |
| 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 | 166 |
| 0 | 48 | 164 |
| 1 | 90 | 164 |
| 2 | 178 | 164 |
| 3 | 504 | 164 |
| 4 | 1490 | 164 |
| 5 | 2594 | 164 |
| 6 | 4308 | 164 |
| 7 | 6162 | 164 |
| 8 | 7941 | 164 |
| 0 | 8395 | 164 |
| 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 |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.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 |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 z x) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 2.4296516739357643 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| accuracy | 4.088077021811474 | (*.f64 (/.f64 z x) y) | |
| accuracy | 0.0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 2.3097787422282505 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| accuracy | 4.167928780090785 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.9770984282918951 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) | |
| accuracy | 2.662948687610644 | (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) | |
| accuracy | 31.71410699031256 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 27.0230415592944 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.0 | (/.f64 x z) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.4475366664923652 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 78.0ms | 256× | 0 | valid |
Compiled 155 to 29 computations (81.3% saved)
ival-mult: 27.0ms (43.7% of total)ival-div: 13.0ms (21% of total)ival-sin: 10.0ms (16.2% of total)const: 6.0ms (9.7% of total)ival-add: 2.0ms (3.2% of total)ival-neg: 2.0ms (3.2% 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 (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)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(neg.f64 (sin.f64 y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(* -1 (/ x (* y z))) |
(/ (* y z) x) |
(/ z x) |
(+ (* -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)))) |
(/ 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)) |
(* -1 (* y z)) |
(* -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)) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (sin y)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ x (* (neg y) z)) (neg (sin y))) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (neg (sin y))) |
| 7.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ x (* (neg y) z)) (neg (sin y))) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (neg (sin y))) |
| 5.0ms | y | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ x (* (neg y) z)) (neg (sin y))) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (neg (sin y))) |
| 4.0ms | x | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ x (* (neg y) z)) (neg (sin y))) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (neg (sin y))) |
| 4.0ms | z | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (/ x (* (neg y) z)) (neg (sin y))) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (neg (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 414 |
| 1 | 336 | 414 |
| 2 | 887 | 392 |
| 3 | 2661 | 384 |
| 4 | 5904 | 382 |
| 0 | 8236 | 345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(* -1 (/ x (* y z))) |
(/ (* y z) x) |
(/ z x) |
(+ (* -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)))) |
(/ 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)) |
(* -1 (* y z)) |
(* -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)) |
(/ (sin y) y) |
(sin y) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (sin y)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 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 (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(fma.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 #s(literal 1 binary64) z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) z) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(*.f64 (/.f64 y z) (*.f64 y (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) x))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(* 1/120 (/ (pow y 4) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/120 binary64)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(*.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 133 |
| 0 | 48 | 131 |
| 1 | 158 | 131 |
| 2 | 932 | 131 |
| 0 | 8545 | 131 |
| 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)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(neg.f64 (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z #s(literal -1 binary64))) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (*.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 z y)))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 x z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (*.f64 x (sin.f64 y)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x z) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 x (sin.f64 y)) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x z) y) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (sin.f64 y) (/.f64 y x))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 z)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(*.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (pow.f64 z #s(literal -1 binary64))) |
(*.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 z) y)) |
(pow.f64 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) #s(literal -1 binary64)) y) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 z #s(literal -1 binary64))) y) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) (*.f64 z y)) |
(/.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) z)) y) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) z)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) z)) (/.f64 (neg.f64 y) x)) |
(/.f64 (*.f64 x (/.f64 (neg.f64 (sin.f64 y)) z)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (*.f64 (neg.f64 y) z))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (*.f64 (neg.f64 y) z))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)))) (+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 (neg.f64 x) y)))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 z)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) (*.f64 z y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x y)) (*.f64 (sin.f64 y) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (sin.f64 y) z)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x z)) (*.f64 (sin.f64 y) (neg.f64 y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x y)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) z)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x z)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 z) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 z (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 z (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 x z) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (*.f64 (/.f64 z x) y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (sin.f64 y) (*.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (*.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 x)) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (*.f64 z y))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (*.f64 (neg.f64 y) z))) |
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(*.f64 z (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x z) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 z #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 (neg.f64 z) x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (neg.f64 x)) |
(/.f64 (/.f64 z x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 x z)) |
(/.f64 z x) |
(neg.f64 (/.f64 (/.f64 (neg.f64 z) x) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 z) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 z) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) (sin.f64 y)) |
(*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (sin.f64 y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (sin.f64 y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) |
(neg.f64 (sin.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
Compiled 22 224 to 2 841 computations (87.2% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 941 | 6 | 947 |
| Fresh | 1 | 3 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 943 | 13 | 956 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 52.0% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 93.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ✓ | 90.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| ▶ | 53.4% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
| ▶ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 57.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| 87.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| 51.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) | |
| ▶ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
| ▶ | 87.6% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
Compiled 376 to 280 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 4 | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 y) z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) | |
| cost-diff | 0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 211 |
| 0 | 57 | 207 |
| 1 | 102 | 207 |
| 2 | 139 | 205 |
| 3 | 191 | 203 |
| 4 | 240 | 200 |
| 5 | 570 | 200 |
| 6 | 1752 | 200 |
| 7 | 3051 | 200 |
| 8 | 4105 | 200 |
| 9 | 4603 | 200 |
| 10 | 4932 | 200 |
| 11 | 5278 | 200 |
| 12 | 5597 | 200 |
| 13 | 5992 | 200 |
| 14 | 6713 | 200 |
| 15 | 7048 | 200 |
| 16 | 7048 | 200 |
| 17 | 7048 | 200 |
| 18 | 7048 | 200 |
| 19 | 7327 | 200 |
| 0 | 8041 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(*.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 z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (* (/ (sin y) y) (/ x z)) (/.f64 x z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 x z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(literal -1 binary64) x) |
x |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.140625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 9.722335687370608 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.28419877930532605 | (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 27.0230415592944 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.0 | (*.f64 y y) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 2.4475366664923652 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| accuracy | 32.247805051457306 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 2.662948687610644 | (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 31.590942746466574 | #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 31.71410699031256 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) | |
| accuracy | 0.0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) | |
| accuracy | 0.09765625 | (/.f64 (sin.f64 y) z) | |
| accuracy | 0.8809951715004247 | (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) | |
| accuracy | 8.623372254013493 | (/.f64 (/.f64 (sin.f64 y) z) y) |
| 106.0ms | 256× | 0 | valid |
Compiled 153 to 34 computations (77.8% saved)
ival-mult: 45.0ms (56.8% of total)ival-div: 17.0ms (21.5% of total)ival-sin: 7.0ms (8.8% of total)const: 6.0ms (7.6% of total)ival-add: 3.0ms (3.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #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)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ x z) |
(/ -1 x) |
(* x (sin y)) |
(+ (* -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 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)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 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))) |
(pow y 2) |
(* 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))))))) |
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)))) |
(* y z) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(sin y) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ -1 z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/ 1 z) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (/ (/ -1 z) (/ -1 x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (/ -1 x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y)) |
| 3.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/ 1 z) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (/ (/ -1 z) (/ -1 x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (/ -1 x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y)) |
| 3.0ms | z | @ | 0 | ((* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/ 1 z) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (/ (/ -1 z) (/ -1 x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (/ -1 x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y)) |
| 2.0ms | z | @ | inf | ((* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/ 1 z) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (/ (/ -1 z) (/ -1 x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (/ -1 x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y)) |
| 2.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (/ (* x (/ (sin y) y)) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/ 1 z) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (* y y) (/ (/ -1 z) (/ -1 x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (/ -1 x) (/ (* (sin y) x) (* z y)) (* (sin y) x) (sin y) (* z y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 508 |
| 1 | 368 | 508 |
| 2 | 1005 | 478 |
| 3 | 3052 | 462 |
| 4 | 6749 | 462 |
| 0 | 8402 | 415 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ x z) |
(/ -1 x) |
(* x (sin y)) |
(+ (* -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 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)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 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))) |
(pow y 2) |
(* 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))))))) |
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)))) |
(* y z) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(sin y) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/ -1 z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/ x z) |
(/.f64 x z) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(+ (* -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 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (/.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(fma.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)) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y (/.f64 #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 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (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 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z)) |
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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y z) |
(*.f64 z y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(*.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) (/.f64 #s(literal 1/120 binary64) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(*.f64 (/.f64 y z) (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) y)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(* 1/120 (/ (pow y 4) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/120 binary64)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y (/.f64 #s(literal 1 binary64) z)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(sin y) |
(sin.f64 y) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 189 |
| 0 | 57 | 189 |
| 1 | 204 | 181 |
| 2 | 1170 | 178 |
| 0 | 8260 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #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)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.f64 z y) |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (/.f64 x y) (neg.f64 z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 z y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) z) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 x y) (neg.f64 z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 z y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 x y) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) z) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (/.f64 (neg.f64 x) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) y) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 x y) (neg.f64 z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 x z) (neg.f64 y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) z) y))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x z))) |
(*.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) x))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) (*.f64 z y))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 z) y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (sin.f64 y)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) y)) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (sin.f64 y) x) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) z) (/.f64 y (sin.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 z) x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x y) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 x y) (sin.f64 y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) z)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) z) y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)) z) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64))) z) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 z x)) |
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (neg.f64 x) z) (*.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (neg.f64 y)) |
(/.f64 (/.f64 (/.f64 x y) z) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 z (sin.f64 y)) x)) |
(/.f64 (pow.f64 (*.f64 z y) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 (neg.f64 z) y) x)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) z) #s(literal 1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) z)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (*.f64 (neg.f64 z) y)) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (neg.f64 z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 y (sin.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) z) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) x) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 y (sin.f64 y)) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 y (sin.f64 y)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (/.f64 (/.f64 (sin.f64 y) z) y) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) |
(/.f64 (sin.f64 y) (neg.f64 (/.f64 (*.f64 (neg.f64 z) y) x))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) (/.f64 y (sin.f64 y)))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 z x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z)))) |
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) z) y) x)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) z)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (sin.f64 y))) |
(sin.f64 y) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (*.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 y z) |
(/.f64 (*.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 z y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal -1 binary64))) |
(/.f64 y (pow.f64 z #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) y)) |
Compiled 11 639 to 1 748 computations (85% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 10 | 552 |
| Fresh | 1 | 3 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 545 | 20 | 565 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.6% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 52.0% | (/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) | |
| ✓ | 93.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 45.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 51.9% | (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) | |
| ✓ | 90.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| ▶ | 51.9% | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
| 11.3% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) | |
| ✓ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 57.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| 87.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| 51.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) | |
| 45.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) | |
| ▶ | 45.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
| ✓ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
| ▶ | 91.4% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
| ▶ | 46.6% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
Compiled 650 to 470 computations (27.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 2 | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 6 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 1 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) | |
| cost-diff | 0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| cost-diff | 0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 338 |
| 0 | 71 | 323 |
| 1 | 134 | 310 |
| 2 | 269 | 280 |
| 3 | 542 | 278 |
| 4 | 1344 | 275 |
| 5 | 3312 | 275 |
| 6 | 5230 | 275 |
| 7 | 7233 | 275 |
| 0 | 8053 | 272 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
x |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 z y) |
z |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) |
(/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
x |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
x |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 z y) |
z |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z)))) |
(*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) |
(*.f64 (/.f64 x y) #s(approx (/ (sin y) z) (/.f64 y z))) |
(/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (neg.f64 z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) z) |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.662948687610644 | (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x) | |
| accuracy | 28.379125898950996 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) | |
| accuracy | 31.590942746466574 | #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) | |
| accuracy | 31.71410699031256 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 0.8809951715004247 | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) | |
| accuracy | 32.247805051457306 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) | |
| accuracy | 0.8809951715004247 | (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) | |
| accuracy | 8.623372254013493 | (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) | |
| accuracy | 31.82338147836219 | #s(approx (/ (sin y) z) (/.f64 y z)) | |
| accuracy | 0.0 | (*.f64 z y) | |
| accuracy | 0.0 | (*.f64 x y) | |
| accuracy | 9.722335687370608 | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) | |
| accuracy | 31.817545466276595 | #s(approx (* (sin y) x) (*.f64 x y)) | |
| accuracy | 0.0 | (sin.f64 y) | |
| accuracy | 0.0 | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) | |
| accuracy | 0.8809951715004247 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| accuracy | 7.689927197314355 | (/.f64 (sin.f64 y) (*.f64 z y)) |
| 97.0ms | 256× | 0 | valid |
Compiled 212 to 43 computations (79.7% saved)
ival-mult: 24.0ms (35.5% of total)ival-div: 18.0ms (26.6% of total)ival-sin: 9.0ms (13.3% of total)const: 9.0ms (13.3% of total)ival-add: 5.0ms (7.4% of total)ival-sub: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 z y) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) |
(/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x y) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ 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)) |
(/ 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)) |
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)))) |
(* 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))))))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ -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)) |
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))) |
(/ (sin y) (* y z)) |
(sin y) |
(/ (sin y) z) |
(* -1 (/ (sin y) (* y z))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(/ -1 (pow z 2)) |
(/ 1 (pow z 2)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (- 0 (* (/ -1 z) (/ -1 z))) (+ 0 (/ -1 z))) (- 0 (* (/ -1 z) (/ -1 z))) (* (/ -1 z) (/ -1 z)) (+ 0 (/ -1 z)) (/ (* x (/ (sin y) y)) z) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x)) |
| 3.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (- 0 (* (/ -1 z) (/ -1 z))) (+ 0 (/ -1 z))) (- 0 (* (/ -1 z) (/ -1 z))) (* (/ -1 z) (/ -1 z)) (+ 0 (/ -1 z)) (/ (* x (/ (sin y) y)) z) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x)) |
| 3.0ms | z | @ | 0 | ((* (/ (sin y) y) (/ x z)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (- 0 (* (/ -1 z) (/ -1 z))) (+ 0 (/ -1 z))) (- 0 (* (/ -1 z) (/ -1 z))) (* (/ -1 z) (/ -1 z)) (+ 0 (/ -1 z)) (/ (* x (/ (sin y) y)) z) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x)) |
| 3.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (- 0 (* (/ -1 z) (/ -1 z))) (+ 0 (/ -1 z))) (- 0 (* (/ -1 z) (/ -1 z))) (* (/ -1 z) (/ -1 z)) (+ 0 (/ -1 z)) (/ (* x (/ (sin y) y)) z) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x)) |
| 2.0ms | z | @ | inf | ((* (/ (sin y) y) (/ x z)) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (sin y) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* x y) (* z y) (* (/ (sin y) y) (/ x z)) (* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ (- 0 (* (/ -1 z) (/ -1 z))) (+ 0 (/ -1 z))) (- 0 (* (/ -1 z) (/ -1 z))) (* (/ -1 z) (/ -1 z)) (+ 0 (/ -1 z)) (/ (* x (/ (sin y) y)) z) (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (* (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 590 |
| 1 | 423 | 590 |
| 2 | 1181 | 554 |
| 3 | 3558 | 536 |
| 4 | 7803 | 536 |
| 0 | 8742 | 485 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x y) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/ 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)) |
(/ 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)) |
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)))) |
(* 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))))))) |
(* y z) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ -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)) |
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))) |
(/ (sin y) (* y z)) |
(sin y) |
(/ (sin y) z) |
(* -1 (/ (sin y) (* y z))) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* 1/120 (/ (pow y 4) z)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(/ -1 (pow z 2)) |
(/ 1 (pow z 2)) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 x y) |
(/ (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) z) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) z) |
(/ 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 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) 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)) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (/.f64 x z)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(fma.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)) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y (/.f64 #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 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) 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)) (fma.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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y) |
(* y z) |
(*.f64 z y) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1/6 binary64) (/.f64 y z)) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) (/.f64 y z)) |
(* y (+ (* (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 3 binary64)) (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (/.f64 y z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(fma.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)) |
(fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal -1/120 binary64) y) y #s(literal 1/6 binary64)) (/.f64 #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 (fma.f64 (/.f64 (*.f64 y y) z) (fma.f64 (*.f64 #s(literal 1/5040 binary64) y) y #s(literal -1/120 binary64)) (/.f64 #s(literal 1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal -1 binary64) z)) |
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 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(sin y) |
(sin.f64 y) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* 1/120 (/ (pow y 4) z)) |
(*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) #s(literal 1/120 binary64)) |
(* (pow y 4) (- (* 1/120 (/ 1 z)) (* 1/6 (/ 1 (* (pow y 2) z))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y) |
(* (pow y 4) (- (+ (* 1/120 (/ 1 z)) (/ 1 (* (pow y 4) z))) (/ 1/6 (* (pow y 2) z)))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y) y (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 4 binary64)))) |
(* 1/120 (/ (* x (pow y 4)) z)) |
(*.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) #s(literal 1/120 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (* 1/120 (/ x z)))) |
(*.f64 (*.f64 x (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) z) y)) y) |
(* (pow y 4) (+ (* -1/6 (/ x (* (pow y 2) z))) (+ (* 1/120 (/ x z)) (/ x (* (pow y 4) z))))) |
(*.f64 (*.f64 (/.f64 x z) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))))) (pow.f64 y #s(literal 4 binary64))) |
(/ -1 (pow z 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 z z)) |
(/ 1 (pow z 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) z) |
(/ (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) z) |
(/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 302 |
| 0 | 71 | 275 |
| 1 | 261 | 242 |
| 0 | 1792 | 236 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 z y) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x) |
(/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) |
#s(approx (/ (sin y) z) (/.f64 y z)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x) |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) z)) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) z)) |
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) z)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (*.f64 z (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (*.f64 (neg.f64 z) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (*.f64 (neg.f64 z) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) z) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (*.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 z z))) |
(/.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (*.f64 z z)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) z) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) z)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 z)) |
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal -1 binary64)) z) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (neg.f64 z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) z) z)) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))) |
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) #s(literal -1 binary64)) z #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 z #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 2 binary64)) (neg.f64 z) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)) |
(+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 z #s(literal -1 binary64))) x)) |
#s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 z #s(literal -1 binary64))) x) |
(*.f64 x #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 z #s(literal -1 binary64)))) |
Compiled 13 647 to 1 849 computations (86.5% saved)
26 alts after pruning (18 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 431 | 10 | 441 |
| Fresh | 0 | 8 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 6 | 7 |
| Total | 435 | 26 | 461 |
| Status | Accuracy | Program |
|---|---|---|
| 38.9% | (/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) | |
| ✓ | 84.6% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 52.0% | (/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) | |
| ✓ | 93.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | 45.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
| 53.1% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 51.9% | (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) | |
| 10.0% | (*.f64 (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) | |
| 45.4% | (*.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) | |
| 11.3% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) | |
| ✓ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
| ✓ | 57.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| 87.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| 51.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) | |
| 45.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) | |
| 45.7% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) z))) x)) | |
| 45.3% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) | |
| 26.1% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))) x)) | |
| ✓ | 57.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
| 45.7% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 z))) x)) | |
| 40.3% | #s(approx (* (/ (sin y) y) (/ x z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)))) | |
| ✓ | 91.4% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
| 90.0% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) | |
| 48.2% | #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
Compiled 1 278 to 549 computations (57% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.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 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 z))) x)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 53.0ms | (/.f64 (sin.f64 y) y) |
| 25.0ms | y |
| 10.0ms | z |
| 9.0ms | x |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 98.7% | 2 | y |
| 99.8% | 2 | z |
| 99.2% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.4% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.7% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.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 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 z))) x)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 19.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | z |
| 98.7% | 2 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.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 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 z))) x)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
5 calls:
| 24.0ms | z |
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 16.0ms | y |
| 8.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | y |
| 98.7% | 2 | (/.f64 (sin.f64 y) y) |
| 94.2% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.3% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 98.5% | 2 | z |
Compiled 20 to 24 computations (-20% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
(*.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 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(/.f64 (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) z) y) |
(*.f64 (neg.f64 #s(approx (* (sin y) x) (*.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (neg.f64 z))) x)) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
#s(approx (* (/ (sin y) y) (/ x z)) (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) z) (/.f64 #s(literal -1 binary64) z))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) z)))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))))) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (pow.f64 (*.f64 z z) #s(literal -1/2 binary64))) x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
6 calls:
| 7.0ms | x |
| 7.0ms | y |
| 7.0ms | z |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 62.3% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.5% | 2 | z |
| 59.6% | 2 | x |
| 61.1% | 2 | y |
| 61.9% | 3 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 #s(approx (/ (sin y) z) (/.f64 y z)) y) x)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
#s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 3.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 59.9% | 2 | y |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
1 calls:
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.4% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 98.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | y |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 2 | y |
| 59.9% | 2 | (/.f64 (sin.f64 y) y) |
| 57.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) z) (/.f64 #s(literal 1 binary64) z)) x)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
5 calls:
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 1 | z |
| 57.8% | 1 | x |
| 57.8% | 1 | (/.f64 (sin.f64 y) y) |
| 57.8% | 1 | y |
| 57.8% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 15 to 21 computations (-40% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 9.237754534030211e-53 | 9.933101046346058e-48 |
| 3.0ms | 32× | 0 | valid |
Compiled 43 to 45 computations (-4.7% saved)
ival-sin: 1.0ms (56.8% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.1404117496741926e-19 | 9.540726108226887e-16 |
| 6.0ms | 80× | 0 | valid |
Compiled 136 to 118 computations (13.2% saved)
ival-sin: 2.0ms (47.7% of total)ival-div: 1.0ms (23.9% of total)ival-mult: 1.0ms (23.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999876996 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 4.293513875278604e+22 | 2.9880197419461595e+23 |
| 8.0ms | 96× | 0 | valid |
Compiled 227 to 175 computations (22.9% saved)
ival-sin: 3.0ms (55.5% of total)ival-div: 1.0ms (18.5% of total)ival-mult: 1.0ms (18.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3e-323 |
| 0.0ms | -5.268425683762482e-282 | -2.0295322432797374e-307 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6e-323 | 1.1002e-318 |
| 0.0ms | -5.268425683762482e-282 | -2.0295322432797374e-307 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6e-323 | 1.1002e-318 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 317 |
| 1 | 85 | 317 |
| 2 | 99 | 317 |
| 3 | 111 | 317 |
| 4 | 114 | 317 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 5265614583427859/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1125899906828775/1125899906842624 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 y #s(literal 62000000000000004194304 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #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 5265614583427859/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 z #s(literal 7788445287802241/5192296858534827628530496329220096 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1125899906828775/1125899906842624 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1125899906828775/1125899906842624 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (sin.f64 y) (/.f64 x (*.f64 z y)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 y #s(literal 62000000000000004194304 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)))) |
(if (<=.f64 y #s(literal 62000000000000004194304 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) #s(approx (* (/ (sin y) y) (/ x z)) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 0 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 x y)) (*.f64 z y)) #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 | 40 | 189 |
| 0 | 57 | 189 |
| 1 | 204 | 181 |
| 2 | 1170 | 178 |
| 0 | 8260 | 175 |
| 0 | 62 | 230 |
| 1 | 181 | 230 |
| 2 | 523 | 210 |
| 3 | 1572 | 202 |
| 4 | 2546 | 202 |
| 5 | 4172 | 202 |
| 6 | 4839 | 202 |
| 7 | 5070 | 202 |
| 8 | 5570 | 202 |
| 0 | 8714 | 178 |
| 0 | 49 | 302 |
| 0 | 71 | 275 |
| 1 | 261 | 242 |
| 0 | 1792 | 236 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5332 | 20 |
| 0 | 8158 | 20 |
| 0 | 122 | 508 |
| 1 | 368 | 508 |
| 2 | 1005 | 478 |
| 3 | 3052 | 462 |
| 4 | 6749 | 462 |
| 0 | 8402 | 415 |
| 0 | 120 | 414 |
| 1 | 336 | 414 |
| 2 | 887 | 392 |
| 3 | 2661 | 384 |
| 4 | 5904 | 382 |
| 0 | 8236 | 345 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 660 to 319 computations (51.7% saved)
(negabs z)
(abs y)
Compiled 882 to 282 computations (68% saved)
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