
Time bar (total: 10.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 1.0s | 8 256× | 0 | valid |
ival-div: 281.0ms (38.1% of total)ival-sin: 239.0ms (32.4% of total)ival-mult: 208.0ms (28.2% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 1 504× | unsub-neg |
| 992× | distribute-lft-in |
| 920× | distribute-rgt-in |
| 632× | div-sub |
| 602× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 87 | 75 |
| 2 | 252 | 75 |
| 3 | 911 | 75 |
| 4 | 2899 | 75 |
| 5 | 4942 | 75 |
| 6 | 5886 | 75 |
| 7 | 5983 | 75 |
| 8 | 6028 | 75 |
| 9 | 6069 | 75 |
| 10 | 6119 | 75 |
| 11 | 6659 | 75 |
| 12 | 6917 | 75 |
| 13 | 6929 | 75 |
| 14 | 6929 | 75 |
| 15 | 6929 | 75 |
| 16 | 7087 | 75 |
| 17 | 7207 | 75 |
| 18 | 7339 | 75 |
| 19 | 7395 | 75 |
| 20 | 7395 | 75 |
| 21 | 7395 | 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 x (sin.f64 y)) (*.f64 y z)) |
(abs y)
(negabs z)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 1 | (1.7969580571737207e-67 7.131716975776131e+265 5.755664240467577e-11) | 2 | (2.544829466273223e-233 8.35299943158868e+84 8.479282917138412e-210) | (/.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 | 20 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 45 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 19 | 2 |
| - | 1 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 19 | 0 | 2 |
| - | 1 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 20 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 512× | 0 | valid |
Compiled 72 to 32 computations (55.6% saved)
ival-sin: 25.0ms (71.4% of total)ival-div: 7.0ms (20% of total)ival-mult: 3.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 11 to 7 computations (36.4% 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 | 384 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 40× | lower-*.f32 |
| 38× | lower-*.f64 |
| 30× | lower-/.f32 |
| 26× | lower-/.f64 |
| 14× | *-commutative |
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 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 27.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-div: 11.0ms (57.6% of total)ival-sin: 6.0ms (31.4% of total)ival-mult: 2.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)> |
#<alt (*.f64 x (/.f64 (sin.f64 y) y))> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (sin.f64 y)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | (/ (sin y) y) |
| 2.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 2.0ms | x | @ | 0 | (/ (* x (/ (sin y) y)) z) |
| 1.0ms | y | @ | inf | (/ (* x (/ (sin y) y)) z) |
| 1.0ms | y | @ | -inf | (/ (* x (/ (sin y) y)) z) |
| 1× | egg-herbie |
| 13 374× | lower-fma.f64 |
| 13 374× | lower-fma.f32 |
| 6 064× | lower-*.f64 |
| 6 064× | lower-*.f32 |
| 2 056× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 522 | 614 |
| 3 | 1575 | 606 |
| 4 | 2557 | 606 |
| 5 | 4182 | 606 |
| 6 | 4856 | 606 |
| 7 | 5087 | 606 |
| 8 | 5589 | 606 |
| 0 | 8789 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 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 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 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 (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(* y (+ 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 (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
| 1× | batch-egg-rewrite |
| 3 156× | lower-*.f32 |
| 3 154× | lower-*.f64 |
| 2 052× | lower-/.f32 |
| 2 048× | lower-/.f64 |
| 1 672× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 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 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(/.f64 x (/.f64 (*.f64 y z) (sin.f64 y))) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 z x) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (*.f64 y (neg.f64 z))) |
(/.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 z (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 x) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal -1 binary64)) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(/.f64 (/.f64 x z) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (/.f64 x (*.f64 y z)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64))) (*.f64 (neg.f64 z) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) y))) |
(/.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y)))) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y)))) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (/.f64 (*.f64 y z) (sin.f64 (neg.f64 y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) y))) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z))) (*.f64 (neg.f64 z) (*.f64 x (sin.f64 y)))) (*.f64 (neg.f64 z) (*.f64 y (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y z)) (*.f64 (neg.f64 z) (neg.f64 (*.f64 x (sin.f64 y))))) (*.f64 (neg.f64 z) (*.f64 y z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 2 binary64))) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64)))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) z)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (/.f64 x (*.f64 y z)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (neg.f64 (/.f64 x (*.f64 y z)))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 y) z)) x) (neg.f64 y)) |
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) (*.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 z)))) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (sin.f64 y) (/.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 (/.f64 x z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (sin.f64 (neg.f64 y)) (neg.f64 (/.f64 x (*.f64 y z)))) |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (neg.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64))) |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 (sin.f64 (neg.f64 y)) (/.f64 (neg.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (/.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 y (neg.f64 z)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) (*.f64 y (neg.f64 z))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y (neg.f64 z))) #s(literal -1 binary64)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y (neg.f64 z))) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 x z))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 z x))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 x (sin.f64 y)) z))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 y (*.f64 x (sin.f64 y))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (neg.f64 (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 x (*.f64 y z))) (sin.f64 (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (sin.f64 y) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (/.f64 (sin.f64 y) z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (*.f64 x (sin.f64 y))))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 (/.f64 z (sin.f64 y)))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 z z)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)) (neg.f64 (*.f64 z z))) z) |
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(*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 (neg.f64 y))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #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 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 (sin.f64 (neg.f64 y)) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (sin.f64 (neg.f64 y))) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #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 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 (neg.f64 y))) |
(sin.f64 y) |
(fma.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 (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (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 (neg.f64 y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 y)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 y) (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)) #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)) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(neg.f64 (sin.f64 (neg.f64 y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) (sin.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) (*.f64 #s(literal 0 binary64) (sin.f64 (neg.f64 y)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y))))) #s(literal -1 binary64)) (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 y))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal 1/2 binary64))) |
Compiled 5 538 to 1 030 computations (81.4% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 16 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 413 | 17 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 87.7% | (/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) | |
| 86.6% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) z) | |
| ✓ | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 49.9% | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) | |
| ▶ | 86.7% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ▶ | 48.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| 49.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 89.9% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| 49.0% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) | |
| 89.2% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) | |
| ▶ | 96.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 85.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 85.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) | |
| ▶ | 84.8% | (*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
| 82.0% | (*.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) | |
| 40.4% | #s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) | |
| ▶ | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 467 to 289 computations (38.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (sin.f64 (neg.f64 y)) |
| ✓ | cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) |
| ✓ | cost-diff | 256 | (*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 (sin.f64 y) y) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 6 184× | lower-fma.f32 |
| 6 178× | lower-fma.f64 |
| 2 750× | unsub-neg |
| 2 424× | lower-*.f32 |
| 2 408× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 212 |
| 0 | 56 | 209 |
| 1 | 111 | 208 |
| 2 | 240 | 208 |
| 3 | 565 | 208 |
| 4 | 1291 | 208 |
| 5 | 1970 | 208 |
| 6 | 2912 | 208 |
| 7 | 3420 | 208 |
| 8 | 4523 | 208 |
| 9 | 5873 | 208 |
| 10 | 6324 | 208 |
| 11 | 6411 | 208 |
| 12 | 6425 | 208 |
| 13 | 6437 | 208 |
| 14 | 6530 | 208 |
| 15 | 6826 | 208 |
| 16 | 6848 | 208 |
| 17 | 6848 | 208 |
| 18 | 6848 | 208 |
| 19 | 6848 | 208 |
| 20 | 7520 | 208 |
| 21 | 7820 | 208 |
| 22 | 7820 | 208 |
| 23 | 7820 | 208 |
| 24 | 7828 | 208 |
| 0 | 7828 | 208 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(sin.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
#s(literal -1 binary64) |
(*.f64 y z) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
(fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 y z) |
z |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)) |
(sin.f64 (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
#s(literal -1 binary64) |
(*.f64 y z) |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal -1 binary64) (*.f64 y z)) |
| ✓ | accuracy | 93.0% | (*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
| ✓ | accuracy | 92.4% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 86.8% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 92.5% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| ✓ | accuracy | 47.7% | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (/.f64 (sin.f64 y) y) |
| ✓ | accuracy | 96.9% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 89.0ms | 256× | 0 | valid |
Compiled 166 to 32 computations (80.7% saved)
ival-mult: 27.0ms (38% of total)ival-sin: 22.0ms (31% of total)const: 9.0ms (12.7% of total)ival-div: 8.0ms (11.3% of total)ival-add: 3.0ms (4.2% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))> |
#<alt (/.f64 (sin.f64 y) y)> |
#<alt (sin.f64 y)> |
#<alt (/.f64 x z)> |
#<alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))> |
#<alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z)> |
#<alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))> |
#<alt (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))> |
#<alt (*.f64 x (sin.f64 y))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x))> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)> |
#<alt (sin.f64 (neg.f64 y))> |
#<alt (neg.f64 y)> |
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))> |
#<alt (/.f64 #s(literal -1 binary64) (*.f64 y z))> |
| Outputs |
|---|
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* -1/5040 (pow y 6))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (* -1 y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (* -1 y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (* -1 y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (* -1 y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ (* x (sin (neg y))) (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 (/ x (* y z)))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/6 (pow y 2)) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))> |
#<alt (* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))> |
#<alt (sin (neg y))> |
#<alt (sin (neg y))> |
#<alt (sin (neg y))> |
#<alt (sin (neg y))> |
#<alt (sin (* -1 y))> |
#<alt (sin (* -1 y))> |
#<alt (sin (* -1 y))> |
#<alt (sin (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow y 2)))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* -1/5040 (pow y 2))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
#<alt (/ -1 (* y z))> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (* (sin (neg y)) (* (/ -1 (* y z)) x)) |
| 1.0ms | z | @ | 0 | (* (sin (neg y)) (* (/ -1 (* y z)) x)) |
| 1.0ms | x | @ | 0 | (* (sin (neg y)) (* (/ -1 (* y z)) x)) |
| 1.0ms | z | @ | inf | (* (sin (neg y)) (* (/ -1 (* y z)) x)) |
| 1.0ms | x | @ | 0 | (* (/ -1 (* y z)) x) |
| 1× | egg-herbie |
| 13 762× | lower-fma.f64 |
| 13 762× | lower-fma.f32 |
| 5 034× | lower-*.f64 |
| 5 034× | lower-*.f32 |
| 2 506× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 2959 |
| 1 | 333 | 2959 |
| 2 | 926 | 2889 |
| 3 | 2779 | 2845 |
| 4 | 5209 | 2845 |
| 5 | 6914 | 2845 |
| 0 | 8375 | 2765 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y 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 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* 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 (neg y)) |
(sin (neg y)) |
(sin (neg y)) |
(sin (neg y)) |
(sin (* -1 y)) |
(sin (* -1 y)) |
(sin (* -1 y)) |
(sin (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
(/ -1 (* y z)) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ (* (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 y y) (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
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(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(+ (* (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 y y) (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (/.f64 x z)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (* -1 y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ (* x (sin (neg y))) (* y z))) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 (/ x (* y z))) |
(/.f64 x (*.f64 z (neg.f64 y))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64))) |
(sin (neg y)) |
(sin.f64 (neg.f64 y)) |
(sin (neg y)) |
(sin.f64 (neg.f64 y)) |
(sin (neg y)) |
(sin.f64 (neg.f64 y)) |
(sin (neg y)) |
(sin.f64 (neg.f64 y)) |
(sin (* -1 y)) |
(sin.f64 (neg.f64 y)) |
(sin (* -1 y)) |
(sin.f64 (neg.f64 y)) |
(sin (* -1 y)) |
(sin.f64 (neg.f64 y)) |
(sin (* -1 y)) |
(sin.f64 (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/5040 binary64))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/5040 binary64))) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
(/ -1 (* y z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z y)) |
| 1× | batch-egg-rewrite |
| 8 344× | lower-fma.f32 |
| 8 338× | lower-fma.f64 |
| 5 902× | lower-*.f32 |
| 5 886× | lower-*.f64 |
| 3 262× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 163 |
| 0 | 56 | 160 |
| 1 | 189 | 159 |
| 2 | 1117 | 159 |
| 0 | 8799 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 x (sin.f64 y)) |
(*.f64 y z) |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x) |
(sin.f64 (neg.f64 y)) |
(neg.f64 y) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y (neg.f64 z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z))) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y (neg.f64 z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y (neg.f64 z))))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (*.f64 y (neg.f64 z))))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal 1/14400 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/604800 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) (*.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/604800 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)))))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/604800 binary64)))))) |
(*.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal 1/604800 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))))))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))) |
(*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 y (*.f64 y (*.f64 (*.f64 y y) #s(literal 1/25401600 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (*.f64 y (*.f64 y #s(literal -1/5040 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y (neg.f64 z))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 y z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) z) |
(/.f64 (/.f64 #s(literal -1 binary64) z) y) |
(pow.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 y (neg.f64 z)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y (neg.f64 z)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
Compiled 20 579 to 1 780 computations (91.4% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 314 | 13 | 1 327 |
| Fresh | 8 | 3 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 323 | 21 | 1 344 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ✓ | 86.7% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | 48.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| 41.3% | (/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) | |
| 89.9% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| 82.0% | (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) | |
| ▶ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
| 51.0% | (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) | |
| ▶ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) | |
| 89.2% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) | |
| ✓ | 96.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 51.0% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
| 85.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| ▶ | 85.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| 50.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) | |
| 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 53.8% | (*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) | |
| ✓ | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ▶ | 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
Compiled 504 to 309 computations (38.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y z)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) |
| ✓ | cost-diff | 384 | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 y y)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
| ✓ | cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
| ✓ | 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) x)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 y (sin.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y (sin.f64 y)) z) |
| ✓ | cost-diff | 384 | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 470× | lower-*.f32 |
| 452× | lower-*.f64 |
| 444× | times-frac |
| 338× | associate-*r* |
| 292× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 0 | 53 | 182 |
| 1 | 95 | 176 |
| 2 | 167 | 176 |
| 3 | 372 | 176 |
| 4 | 584 | 176 |
| 5 | 785 | 176 |
| 6 | 895 | 176 |
| 7 | 1022 | 176 |
| 8 | 1026 | 176 |
| 9 | 1027 | 176 |
| 0 | 1027 | 176 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
z |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(/.f64 x z) |
x |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 y (/.f64 z (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
#s(approx (* x (/ (sin y) y)) (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
#s(literal -1/6 binary64) |
(*.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
z |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(*.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) (/.f64 x (*.f64 y z))) |
(/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) |
(/.f64 #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) y) |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(/.f64 x z) |
x |
z |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 y z)) |
| ✓ | accuracy | 86.6% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | accuracy | 99.8% | (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) |
| ✓ | accuracy | 96.9% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
| ✓ | accuracy | 47.8% | #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
| ✓ | accuracy | 92.5% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
| ✓ | accuracy | 83.6% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 47.9% | #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) z) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) z) x) |
| ✓ | accuracy | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 y (sin.f64 y)) z) |
| ✓ | accuracy | 99.7% | (/.f64 y (sin.f64 y)) |
| ✓ | accuracy | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 74.0ms | 256× | 0 | valid |
Compiled 145 to 29 computations (80% saved)
ival-div: 22.0ms (39.8% of total)ival-mult: 17.0ms (30.7% of total)ival-sin: 7.0ms (12.7% of total)const: 6.0ms (10.8% of total)ival-add: 2.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z))> |
#<alt (*.f64 (/.f64 y (sin.f64 y)) z)> |
#<alt (/.f64 y (sin.f64 y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) z) x)> |
#<alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x))> |
#<alt (/.f64 #s(literal 1 binary64) z)> |
#<alt (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z)> |
#<alt #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)> |
#<alt (*.f64 x (*.f64 y y))> |
#<alt (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z))> |
#<alt (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)> |
#<alt #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))> |
#<alt (*.f64 y z)> |
#<alt (*.f64 (sin.f64 y) x)> |
| Outputs |
|---|
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt z> |
#<alt (+ z (* 1/6 (* (pow y 2) z)))> |
#<alt (+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))> |
#<alt (+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z))))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt (/ (* y z) (sin y))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))> |
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt (/ y (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ x z)> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ 1 z)> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (/ 1 (* y z))> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (+ (* -1/6 (* x (* y y))) x) |
| 1.0ms | y | @ | -inf | (* (/ y (sin y)) z) |
| 1.0ms | x | @ | inf | (+ (* -1/6 (* x (* y y))) x) |
| 0.0ms | y | @ | inf | (* (/ y (sin y)) z) |
| 0.0ms | y | @ | -inf | (/ y (sin y)) |
| 1× | egg-herbie |
| 25 202× | lower-fma.f64 |
| 25 202× | lower-fma.f32 |
| 5 954× | lower-*.f64 |
| 5 954× | lower-*.f32 |
| 5 152× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 3120 |
| 1 | 391 | 3083 |
| 2 | 1212 | 3017 |
| 3 | 3536 | 2994 |
| 0 | 8125 | 2892 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(/ 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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(/ 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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (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 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y y))) y) z) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
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(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (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 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y y))) y) z) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 y (*.f64 y y)) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* -1/6 (pow y 3)) |
(*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ (* (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 x z) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y y))) y) z) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 y (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
(* x (sin y)) |
(*.f64 x (sin.f64 y)) |
| 1× | batch-egg-rewrite |
| 6 694× | lower-fma.f32 |
| 6 690× | lower-fma.f64 |
| 5 272× | lower-*.f32 |
| 5 254× | lower-*.f64 |
| 2 832× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 158 |
| 0 | 53 | 144 |
| 1 | 170 | 144 |
| 2 | 929 | 144 |
| 3 | 7588 | 144 |
| 0 | 8250 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
#s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 y (*.f64 x (sin.f64 y))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)))) |
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(*.f64 (/.f64 (*.f64 x (sin.f64 y)) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 (sin.f64 y) (*.f64 y z))) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x z))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 x (neg.f64 y)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (pow.f64 (/.f64 z (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sin.f64 y)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 (/.f64 x y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (/.f64 x z) (neg.f64 y))) |
(*.f64 (/.f64 (/.f64 x z) (neg.f64 y)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) (*.f64 y z)))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 z))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 y z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (pow.f64 (*.f64 z (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (neg.f64 y))) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (*.f64 y (neg.f64 z))) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y z)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) z) |
(pow.f64 (*.f64 y z) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 y z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) y)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y z))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 z))) |
(neg.f64 (*.f64 y (neg.f64 z))) |
(/.f64 y (/.f64 #s(literal 1 binary64) z)) |
(/.f64 z (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(/.f64 (*.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(/.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 (*.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 z) (neg.f64 y)) |
(*.f64 (neg.f64 z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 z)) |
(*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) |
(*.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) |
Compiled 21 475 to 1 962 computations (90.9% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 299 | 10 | 1 309 |
| Fresh | 1 | 10 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 300 | 30 | 1 330 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ✓ | 86.7% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | 48.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| ▶ | 41.3% | (/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
| ▶ | 89.9% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 82.0% | (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) | |
| 34.1% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) | |
| 34.8% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) | |
| ✓ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
| ▶ | 35.3% | (/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
| 10.3% | (/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) | |
| ▶ | 51.0% | (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
| ✓ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 65.7% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) | |
| 65.7% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) | |
| 65.7% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) | |
| 89.2% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) | |
| ✓ | 96.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 31.4% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) | |
| ✓ | 51.0% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
| 85.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 41.0% | (*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) | |
| ✓ | 85.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| 50.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) | |
| 50.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) | |
| ▶ | 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
| ✓ | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ✓ | 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
Compiled 925 to 509 computations (45% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) |
| ✓ | cost-diff | 0 | #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
| ✓ | cost-diff | 960 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | cost-diff | 0 | #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
| ✓ | 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 y z) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | #s(approx (* x (sin y)) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 z x) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 z x) y) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 384 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 10 338× | lower-fma.f32 |
| 10 328× | lower-fma.f64 |
| 4 426× | lower-*.f32 |
| 4 400× | lower-*.f64 |
| 1 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 336 |
| 0 | 72 | 326 |
| 1 | 135 | 323 |
| 2 | 275 | 323 |
| 3 | 994 | 323 |
| 4 | 2733 | 311 |
| 0 | 8029 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#s(approx (* x (sin y)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(*.f64 y z) |
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)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
x |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 y z) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x) |
(*.f64 x (*.f64 y y)) |
x |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
z |
| Outputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 (*.f64 y z) x) |
(/.f64 z x) |
z |
x |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 y x)) (*.f64 y z)) |
#s(approx (* x (sin y)) (*.f64 x y)) |
#s(approx (* x (sin y)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 y z) |
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)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) (/.f64 x (*.f64 y z))) |
(*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
(*.f64 x #s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y))) |
x |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
#s(approx (sin y) (fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(fma.f64 (*.f64 y y) (*.f64 y #s(literal -1/6 binary64)) y) |
#s(literal -1/6 binary64) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(*.f64 y z) |
z |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/6 binary64)) x)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) z) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
#s(approx (* x (/ (sin y) y)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/6 binary64)) x)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/6 binary64)) x)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/6 binary64)) x)) |
#s(literal -1 binary64) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x) |
(fma.f64 (*.f64 y x) (*.f64 y #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 y y)) |
(*.f64 y (*.f64 y x)) |
x |
(*.f64 y y) |
y |
#s(literal 1/6 binary64) |
(*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(*.f64 y #s(literal -1/6 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.5% | (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
| ✓ | accuracy | 83.6% | (*.f64 x (*.f64 y y)) |
| ✓ | accuracy | 47.9% | #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
| ✓ | accuracy | 37.8% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
| ✓ | accuracy | 86.8% | (/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
| ✓ | accuracy | 47.8% | #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 96.9% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
| ✓ | accuracy | 47.7% | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 86.8% | (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
| ✓ | accuracy | 47.9% | #s(approx (* x (sin y)) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 z x) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 94.2% | (*.f64 (/.f64 z x) y) |
| ✓ | accuracy | 93.0% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 90.0ms | 256× | 0 | valid |
Compiled 243 to 40 computations (83.5% saved)
ival-mult: 25.0ms (37.8% of total)ival-div: 21.0ms (31.7% of total)const: 7.0ms (10.6% of total)ival-sin: 7.0ms (10.6% of total)ival-add: 5.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y))> |
#<alt (sin.f64 y)> |
#<alt (*.f64 (/.f64 z x) y)> |
#<alt (/.f64 z x)> |
#<alt (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z))> |
#<alt #s(approx (* x (sin y)) (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (*.f64 y z)> |
#<alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z))> |
#<alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))> |
#<alt (*.f64 y y)> |
#<alt (/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z))> |
#<alt (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)))> |
#<alt #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))> |
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)> |
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))> |
#<alt (/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z)> |
#<alt #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))> |
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x))> |
#<alt (*.f64 x (*.f64 y y))> |
#<alt (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x)> |
| Outputs |
|---|
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ (* y z) x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ z x)> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (* y z)> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt (/ (sin y) y)> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (+ 1 (* -1/6 (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))> |
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt (* x (sin y))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt (sin y)> |
#<alt y> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* y (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))> |
#<alt (* -1/6 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))) (* -1 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (- (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4))))))> |
#<alt (* (pow y 2) (- (+ (* -6 (/ (- (* 6 x) (* 6 (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)))) (pow y 6))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4))))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))) (* -1 (/ x (pow y 2)))))> |
#<alt (* (pow y 2) (- (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4))))))> |
#<alt (* (pow y 2) (- (+ (* -6 (/ (- (* 6 x) (* 6 (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)))) (pow y 6))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4))))))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ x z)> |
#<alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))> |
#<alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) (* y z))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))> |
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ (* x (sin y)) y)> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ -1 (* x (+ 1 (* 1/6 (pow y 2)))))> |
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))> |
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))> |
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))> |
#<alt (/ 1 (* x (- (* -1/6 (pow y 2)) 1)))> |
#<alt (/ -1 x)> |
#<alt (- (* 1/6 (/ (pow y 2) x)) (/ 1 x))> |
#<alt (- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))> |
#<alt (- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))> |
#<alt (/ -6 (* x (pow y 2)))> |
#<alt (/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))> |
#<alt (/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))> |
#<alt (/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))> |
#<alt (/ -6 (* x (pow y 2)))> |
#<alt (/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2))> |
#<alt (/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2))> |
#<alt (/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (pow y 2))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow y 2))))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))> |
#<alt x> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | -inf | (* x y) |
| 3.0ms | x | @ | 0 | (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) |
| 1.0ms | x | @ | -inf | (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) |
| 1.0ms | y | @ | 0 | (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) |
| 1.0ms | x | @ | inf | (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) |
| 1× | egg-herbie |
| 10 960× | lower-fma.f64 |
| 10 960× | lower-fma.f32 |
| 4 288× | lower-*.f64 |
| 4 288× | lower-*.f32 |
| 1 766× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 3929 |
| 1 | 533 | 3899 |
| 2 | 1593 | 3835 |
| 3 | 5293 | 3792 |
| 0 | 8235 | 3632 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* 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))))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
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) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (/ (* x (* (+ 1 (* -1/6 (pow y 2))) (- (* -1/6 (pow y 2)) 1))) (+ 1 (* 1/6 (pow y 2))))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))) (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (- (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4)))))) |
(* (pow y 2) (- (+ (* -6 (/ (- (* 6 x) (* 6 (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)))) (pow y 6))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4)))))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (- (+ (* -1/6 x) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))) (* -1 (/ x (pow y 2))))) |
(* (pow y 2) (- (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4)))))) |
(* (pow y 2) (- (+ (* -6 (/ (- (* 6 x) (* 6 (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)))) (pow y 6))) (+ (* -1/6 x) (+ (* 6 (/ x (pow y 4))) (* 6 (/ (+ (* -1/6 x) (* 1/6 x)) (pow y 2)))))) (+ (* -1 (/ x (pow y 2))) (* 6 (/ (- (* 6 (+ (* -1/6 x) (* 1/6 x))) (* -1 x)) (pow y 4)))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
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)))))) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/ -1 x) |
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(/ -6 (* x (pow y 2))) |
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2)) |
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2)) |
(/ -6 (* x (pow y 2))) |
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2)) |
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2)) |
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (pow y 2)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* -1/6 (* x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* -1/6 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
| Outputs |
|---|
(/ x z) |
(/.f64 x z) |
(+ (* -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)) |
(fma.f64 (*.f64 y y) (*.f64 (/.f64 x z) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (/.f64 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 y y) (*.f64 (/.f64 (*.f64 x (*.f64 y y)) z) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 x z))) |
(/ (* x (sin y)) (* y z)) |
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(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 z y)) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 x (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) x) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ (* x (sin y)) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 (* x (+ 1 (* 1/6 (pow y 2))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ 1 (* x (- (* -1/6 (pow y 2)) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* 1/6 (/ (pow y 2) x)) (/ 1 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64))) |
(- (* (pow y 2) (+ (* -1/36 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/216 (/ (pow y 2) x)) (* 1/36 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x)) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (/.f64 #s(literal 1/216 binary64) x) (/.f64 #s(literal -1/36 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(/ -6 (* x (pow y 2))) |
(/.f64 #s(literal -6 binary64) (*.f64 x (*.f64 y y))) |
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (*.f64 y y)) |
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))) (*.f64 y y)) |
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64)))))) (*.f64 y y)) |
(/ -6 (* x (pow y 2))) |
(/.f64 #s(literal -6 binary64) (*.f64 x (*.f64 y y))) |
(/ (- (* 36 (/ 1 (* x (pow y 2)))) (* 6 (/ 1 x))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (*.f64 y y)) |
(/ (- (/ 36 (* x (pow y 2))) (+ (* 6 (/ 1 x)) (/ 216 (* x (pow y 4))))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (+.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))))) (*.f64 y y)) |
(/ (- (+ (* 1296 (/ 1 (* x (pow y 6)))) (/ 36 (* x (pow y 2)))) (+ (* 6 (/ 1 x)) (* 216 (/ 1 (* x (pow y 4)))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 36 binary64) (*.f64 x (*.f64 y y))) (/.f64 #s(literal -6 binary64) x)) (+.f64 (/.f64 #s(literal -216 binary64) (*.f64 x (*.f64 (*.f64 y y) (*.f64 y y)))) (/.f64 #s(literal 1296 binary64) (*.f64 x (pow.f64 y #s(literal 6 binary64)))))) (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (pow y 2)) |
(*.f64 x (*.f64 y y)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1 (* x (- (* 1/6 (pow y 2)) 1))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* -1/6 (* x (pow y 2))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) x) |
| 1× | batch-egg-rewrite |
| 6 882× | lower-fma.f32 |
| 6 872× | lower-fma.f64 |
| 4 492× | lower-*.f32 |
| 4 466× | lower-*.f64 |
| 3 574× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 251 |
| 0 | 72 | 263 |
| 1 | 245 | 243 |
| 2 | 1437 | 183 |
| 0 | 8794 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#s(approx (* x (sin y)) (*.f64 x y)) |
(*.f64 x y) |
(*.f64 y 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 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) |
#s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
#s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) |
(*.f64 x (*.f64 y y)) |
(fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (neg.f64 (/.f64 x (*.f64 y z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (neg.f64 z)) x)) (*.f64 (sin.f64 y) (neg.f64 (/.f64 x (*.f64 y z))))) |
(neg.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 x (*.f64 y z))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (neg.f64 (/.f64 x (*.f64 y z)))))) |
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 z x))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (neg.f64 y))) |
(neg.f64 (/.f64 (/.f64 (sin.f64 y) y) (/.f64 (neg.f64 z) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 z))) y)) |
(/.f64 (sin.f64 y) (/.f64 (*.f64 y z) x)) |
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) (*.f64 x (neg.f64 (sin.f64 y))))) |
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (*.f64 y (neg.f64 z)) x)) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 z))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 (neg.f64 z) x)) |
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z)))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) (neg.f64 (/.f64 x (*.f64 y z))))) |
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 x (*.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) (/.f64 x z))) |
(*.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) (*.f64 y z)) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 z))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #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) y) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 z)))) |
(*.f64 (/.f64 x (neg.f64 z)) (neg.f64 (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.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 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) y))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x)))))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x) (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)))) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) x) (/.f64 (*.f64 x (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 (*.f64 x (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 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x) (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) x) (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (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 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) x)) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) x) (/.f64 (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 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) x) (/.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (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 x x)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 x)) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (neg.f64 x)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 y y) #s(literal 1/6 binary64))) x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/216 binary64)))))) (/.f64 (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 1/36 binary64)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))) |
Compiled 39 278 to 2 667 computations (93.2% saved)
35 alts after pruning (22 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 477 | 8 | 1 485 |
| Fresh | 1 | 14 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 1 480 | 35 | 1 515 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 92.5% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ✓ | 86.7% | (/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
| ✓ | 48.9% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) z) |
| 10.1% | (/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) | |
| ✓ | 89.9% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 82.0% | (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) | |
| 32.8% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) | |
| 34.1% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) | |
| 34.8% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) | |
| ✓ | 49.9% | (/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
| 10.3% | (/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) | |
| ✓ | 51.0% | (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
| ✓ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 65.7% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) | |
| 65.7% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) | |
| 65.7% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) | |
| 48.0% | (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) | |
| 89.2% | (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) | |
| ✓ | 96.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 49.7% | (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) | |
| 31.4% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) | |
| ✓ | 51.0% | (*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
| 85.1% | (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) | |
| 41.0% | (*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) | |
| ✓ | 85.8% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| 50.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) | |
| 49.9% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) | |
| 50.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) | |
| ✓ | 53.0% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
| 13.3% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) | |
| 49.8% | (*.f64 x (*.f64 (/.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))))) | |
| ✓ | 57.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 57.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ✓ | 57.2% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
Compiled 1 309 to 523 computations (60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #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))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) z) y) |
(*.f64 (sin.f64 (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) z) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 34.0ms | y |
| 34.0ms | x |
| 14.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | z |
| 13.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 96.8% | 1 | y |
| 99.8% | 2 | z |
| 96.8% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #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))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 13.0ms | x |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | z |
| 96.8% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #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))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
5 calls:
| 14.0ms | z |
| 13.0ms | x |
| 12.0ms | y |
| 12.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 11.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | x |
| 96.8% | 1 | y |
| 96.8% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.8% | 1 | z |
Compiled 32 to 22 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #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))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
6 calls:
| 16.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 16.0ms | y |
| 13.0ms | z |
| 11.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
| 89.2% | 1 | x |
| 95.4% | 2 | y |
| 89.2% | 1 | z |
| 89.2% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 89.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 y y) (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y)) y)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #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))) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 y (*.f64 y (*.f64 (/.f64 x z) (fma.f64 y (*.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(approx (* x (/ (sin y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1/6 binary64) x)) (*.f64 (fma.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64))) x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (*.f64 x (*.f64 y (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)))))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 (/.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64)))) (*.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/6 binary64)) x) (neg.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal -1 binary64))))))) z) |
(*.f64 (/.f64 #s(approx (sin y) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/36 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) y) (/.f64 x z)) |
| Outputs |
|---|
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
6 calls:
| 12.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| 10.0ms | y |
| 10.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.7% | 1 | x |
| 65.7% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.7% | 1 | z |
| 65.7% | 1 | y |
| 65.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y)) x)) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (sin (neg y)) (neg.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) x)) |
(*.f64 x (*.f64 (/.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))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (* x (/ (sin y) y)) (fma.f64 y (*.f64 x (*.f64 y #s(literal -1/6 binary64))) x))) |
(/.f64 (*.f64 x #s(approx (sin y) #s(approx (+ (* -1/6 (* y (* y y))) y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))) (*.f64 y z)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(approx (sin y) (fma.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))) y))) |
(/.f64 (*.f64 x #s(approx (sin y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)) y))) (*.f64 y z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(approx (* x (sin y)) (*.f64 y x)) z))) |
| Outputs |
|---|
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
6 calls:
| 25.0ms | y |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | x |
| 6.0ms | z |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 1 | y |
| 65.7% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.7% | 1 | x |
| 65.7% | 1 | z |
| 65.7% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 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)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
6 calls:
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 2 | y |
| 59.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 57.4% | 1 | x |
| 59.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.4% | 2 | z |
| 60.1% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#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 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y))) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (* (/ -1 (+ (* (* x (* y y)) 1/6) x)) (* (+ (* x (* y (* y -1/6))) x) (* x (+ (* y (* y -1/6)) -1)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 y y))))) z) |
(/.f64 #s(approx (* x (/ (sin y) y)) #s(approx (+ (* -1/6 (* x (* y y))) x) (*.f64 y (*.f64 (*.f64 x y) #s(literal -1/6 binary64))))) z) |
| Outputs |
|---|
(/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 4.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | y |
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 59.7% | 2 | (/.f64 (sin.f64 y) y) |
| 59.7% | 2 | y |
Compiled 22 to 15 computations (31.8% 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 (/.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 3.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 1.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | x |
| 57.4% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 57.4% | 1 | z |
| 57.4% | 1 | y |
| 57.4% | 1 | (/.f64 (sin.f64 y) y) |
| 57.4% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 39 to 27 computations (30.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.7759886206741175e+55 | 5.016864006322344e+56 |
| 8.0ms | 112× | 0 | valid |
Compiled 182 to 125 computations (31.3% saved)
ival-sin: 3.0ms (61.2% of total)ival-div: 1.0ms (20.4% of total)ival-mult: 1.0ms (20.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.1067884408174017e-16 | 1.5255790817259825e-15 |
| 1.0ms | 16× | 0 | valid |
Compiled 38 to 29 computations (23.7% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9793330494698739 | 0.9999990603617345 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6335322236441.474 | 37344027895090360.0 |
| 12.0ms | 128× | 0 | valid |
Compiled 246 to 165 computations (32.9% saved)
ival-sin: 6.0ms (67.4% of total)ival-div: 2.0ms (22.5% of total)ival-mult: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0112e-319 | 1.2546552e-316 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 200 |
| 1 | 87 | 200 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 25999999999999999993885848993871559119691723206429769728 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(if (<=.f64 y #s(literal 36000000000000000 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 25999999999999999993885848993871559119691723206429769728 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2206763817411543/2251799813685248 binary64)) (*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 y (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) z)) |
(/.f64 x (*.f64 z #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 z (*.f64 (*.f64 y y) #s(literal 1/6 binary64)) z))) |
(if (<=.f64 y #s(literal 36000000000000000 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y)))) |
(if (<=.f64 y #s(literal 36000000000000000 binary64)) (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(approx (* (sin y) x) (*.f64 x y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* x (sin y)) (*.f64 x y)) (*.f64 y z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 25 202× | lower-fma.f64 |
| 25 202× | lower-fma.f32 |
| 13 762× | lower-fma.f64 |
| 13 762× | lower-fma.f32 |
| 13 374× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 522 | 614 |
| 3 | 1575 | 606 |
| 4 | 2557 | 606 |
| 5 | 4182 | 606 |
| 6 | 4856 | 606 |
| 7 | 5087 | 606 |
| 8 | 5589 | 606 |
| 0 | 8789 | 582 |
| 0 | 33 | 163 |
| 0 | 56 | 160 |
| 1 | 189 | 159 |
| 2 | 1117 | 159 |
| 0 | 8799 | 159 |
| 0 | 127 | 3120 |
| 1 | 391 | 3083 |
| 2 | 1212 | 3017 |
| 3 | 3536 | 2994 |
| 0 | 8125 | 2892 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 115 | 2959 |
| 1 | 333 | 2959 |
| 2 | 926 | 2889 |
| 3 | 2779 | 2845 |
| 4 | 5209 | 2845 |
| 5 | 6914 | 2845 |
| 0 | 8375 | 2765 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 573 to 273 computations (52.4% saved)
(negabs z)
(abs y)
Compiled 790 to 366 computations (53.7% saved)
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