
Time bar (total: 11.5s)
| 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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 8 to 7 computations (12.5% saved)
| 560.0ms | 8 256× | 0 | valid |
ival-sin: 213.0ms (61.5% of total)ival-mult: 64.0ms (18.5% of total)ival-div: 61.0ms (17.6% of total)ival-true: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)| 2× | egg-herbie |
| 630× | times-frac |
| 300× | associate-*r* |
| 288× | associate-*l* |
| 182× | unsub-neg |
| 180× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 38 |
| 1 | 49 | 38 |
| 2 | 125 | 38 |
| 3 | 331 | 38 |
| 4 | 1120 | 38 |
| 5 | 1825 | 38 |
| 6 | 1918 | 38 |
| 7 | 1952 | 38 |
| 8 | 1980 | 38 |
| 9 | 1992 | 38 |
| 10 | 1992 | 38 |
| 0 | 5 | 6 |
| 1 | 8 | 6 |
| 2 | 10 | 6 |
| 3 | 12 | 6 |
| 4 | 13 | 6 |
| 0 | 13 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* x (/ (sin y) y)) |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
| Inputs |
|---|
(* x (/ (sin y) y)) |
(* (neg x) (/ (sin y) y)) |
(* x (/ (sin (neg y)) (neg y))) |
(neg (* (neg x) (/ (sin y) y))) |
(neg (* x (/ (sin (neg y)) (neg y)))) |
(* y (/ (sin x) x)) |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/ (* x (sin y)) y) |
(* (neg x) (/ (sin y) y)) |
(* (sin y) (/ x (neg y))) |
(* x (/ (sin (neg y)) (neg y))) |
(/ (* x (sin y)) y) |
(neg (* (neg x) (/ (sin y) y))) |
(/ (* x (sin y)) y) |
(neg (* x (/ (sin (neg y)) (neg y)))) |
(* (sin y) (/ x (neg y))) |
(* y (/ (sin x) x)) |
(/ (* y (sin x)) x) |
(abs y)
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 43.0ms | 512× | 0 | valid |
Compiled 48 to 24 computations (50% saved)
ival-sin: 16.0ms (52.4% of total)ival-mult: 10.0ms (32.7% of total)ival-div: 4.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
Found 3 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)) |
| 12× | *-lowering-*.f32 |
| 12× | *-lowering-*.f64 |
| 6× | *-commutative |
| 6× | /-lowering-/.f32 |
| 6× | /-lowering-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 14 |
| 1 | 8 | 14 |
| 2 | 10 | 14 |
| 3 | 12 | 14 |
| 4 | 13 | 14 |
| 0 | 13 | 14 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (/ (sin y) y)) |
x |
(/ (sin y) y) |
(sin y) |
y |
| Outputs |
|---|
(* x (/ (sin y) y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
x |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
y |
Found 3 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) |
| 19.0ms | 256× | 0 | valid |
Compiled 16 to 7 computations (56.3% saved)
ival-sin: 6.0ms (65.3% of total)ival-div: 2.0ms (21.8% of total)ival-mult: 2.0ms (21.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ (sin y) y))> |
#<alt (/ (sin y) y)> |
#<alt (sin y)> |
| Outputs |
|---|
#<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)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | 0 | (* x (/ (sin y) y)) |
| 1.0ms | y | @ | inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | -inf | (* x (/ (sin y) y)) |
| 1.0ms | x | @ | inf | (* x (/ (sin y) y)) |
| 1× | batch-egg-rewrite |
| 836× | *-lowering-*.f32 |
| 836× | *-lowering-*.f64 |
| 718× | /-lowering-/.f32 |
| 718× | /-lowering-/.f64 |
| 220× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (sin y) y)) |
(/ (sin y) y) |
(sin y) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(fma.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (sin.f64 y)))) |
(/.f64 x (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sin.f64 y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 x (-.f64 #s(literal 0 binary64) y))) (sin.f64 y)) |
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 x (-.f64 #s(literal 0 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(*.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)) x)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (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 (*.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) |
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y (sin.f64 y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 (sin.f64 y) y) |
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y)))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y (sin.f64 y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (sin.f64 y))) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (sin.f64 y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal 1 binary64)) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) #s(literal -1 binary64)) (*.f64 (sin.f64 y) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (*.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (*.f64 y (sin.f64 y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y))) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y)) |
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y) #s(literal -1 binary64)) |
(*.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 (/.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)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) y)))) |
(sin.f64 y) |
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(neg.f64 (sin.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (sin.f64 y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.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 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (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 #s(literal 2 binary64) y)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) y)))) #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 y)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 16 120× | accelerator-lowering-fma.f32 |
| 16 120× | accelerator-lowering-fma.f64 |
| 4 374× | *-lowering-*.f32 |
| 4 374× | *-lowering-*.f64 |
| 2 386× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* 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) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
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 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 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 y (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 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)))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) |
(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) |
Compiled 2 347 to 438 computations (81.3% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 12 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 189 | 13 | 202 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) | |
| 91.8% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) | |
| 87.5% | (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 48.5% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) | |
| 92.0% | (/.f64 (*.f64 x (sin.f64 y)) y) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) | |
| ▶ | 87.6% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ▶ | 91.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ▶ | 54.1% | (*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| 54.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| ▶ | 99.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ▶ | 54.7% | x |
Compiled 290 to 195 computations (32.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (*.f64 x (sin.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ✓ | cost-diff | -64 | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y y #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 944× | accelerator-lowering-fma.f32 |
| 944× | accelerator-lowering-fma.f64 |
| 488× | *-lowering-*.f32 |
| 488× | *-lowering-*.f64 |
| 382× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 1 | 66 | 97 |
| 2 | 169 | 97 |
| 3 | 445 | 97 |
| 4 | 905 | 97 |
| 5 | 964 | 97 |
| 6 | 1068 | 97 |
| 7 | 1098 | 97 |
| 8 | 1116 | 97 |
| 9 | 1182 | 97 |
| 10 | 1195 | 97 |
| 0 | 1195 | 92 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (* (/ 1 y) (sin y))) |
x |
(* (/ 1 y) (sin y)) |
(/ 1 y) |
1 |
y |
(sin y) |
x |
(* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)) |
x |
(+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1) |
(+ (* y y) 0) |
y |
0 |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(+ (* y 1/120) 0) |
1/120 |
-1/6 |
1 |
(* (/ x y) (sin y)) |
(/ x y) |
x |
y |
(sin y) |
(* (/ 1 y) (* x (sin y))) |
(/ 1 y) |
1 |
y |
(* x (sin y)) |
x |
(sin y) |
| Outputs |
|---|
(* x (* (/ 1 y) (sin y))) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
x |
(* (/ 1 y) (sin y)) |
(/.f64 (sin.f64 y) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(sin y) |
(sin.f64 y) |
x |
(* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)) |
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
x |
(+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ (* y y) 0) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
0 |
#s(literal 0 binary64) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(+ (* y 1/120) 0) |
(fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* (/ x y) (sin y)) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(sin y) |
(sin.f64 y) |
(* (/ 1 y) (* x (sin y))) |
(fma.f64 (sin.f64 y) (/.f64 x y) #s(literal 0 binary64)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* x (sin y)) |
(fma.f64 x (sin.f64 y) #s(literal 0 binary64)) |
x |
(sin y) |
(sin.f64 y) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 x (sin.f64 y)) |
| ✓ | accuracy | 91.9% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 87.6% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 96.6% | (*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
| 57.0ms | 256× | 0 | valid |
Compiled 107 to 25 computations (76.6% saved)
ival-mult: 18.0ms (43.7% of total)const: 7.0ms (17% of total)ival-sin: 6.0ms (14.6% of total)ival-add: 5.0ms (12.1% of total)ival-div: 4.0ms (9.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* (/ 1 y) (sin y))> |
#<alt (/ 1 y)> |
#<alt (sin y)> |
#<alt (* x (* (/ 1 y) (sin y)))> |
#<alt (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)> |
#<alt (+ (* y y) 0)> |
#<alt (+ (* y (+ (* y 1/120) 0)) -1/6)> |
#<alt (+ (* y 1/120) 0)> |
#<alt (/ x y)> |
#<alt (* (/ x y) (sin y))> |
#<alt (* (/ 1 y) (* x (sin y)))> |
#<alt (* x (sin y))> |
#<alt (* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1))> |
| Outputs |
|---|
#<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 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 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 (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) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (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 (pow y 2)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 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 (/ (* 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> |
#<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 (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 (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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<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) (* 1/120 (* x (pow y 2))))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (+ (* y y) 0) |
| 1.0ms | x | @ | -inf | (/ x y) |
| 1.0ms | x | @ | 0 | (* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)) |
| 0.0ms | y | @ | inf | (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1) |
| 0.0ms | x | @ | inf | (* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)) |
| 1× | batch-egg-rewrite |
| 13 226× | accelerator-lowering-fma.f32 |
| 13 226× | accelerator-lowering-fma.f64 |
| 5 702× | *-lowering-*.f32 |
| 5 702× | *-lowering-*.f64 |
| 3 406× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 77 |
| 1 | 129 | 75 |
| 2 | 1085 | 75 |
| 0 | 8748 | 70 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (/ 1 y) (sin y)) |
(/ 1 y) |
(sin y) |
(* x (* (/ 1 y) (sin y))) |
(+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1) |
(+ (* y y) 0) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(+ (* y 1/120) 0) |
(/ x y) |
(* (/ x y) (sin y)) |
(* (/ 1 y) (* x (sin y))) |
(* x (sin y)) |
(* x (+ (* (+ (* y y) 0) (+ (* y (+ (* y 1/120) 0)) -1/6)) 1)) |
| Outputs |
|---|
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(neg.f64 (*.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 (/.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))) |
(/.f64 (sin.f64 y) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y))) y) |
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (sin.f64 y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) |
(pow.f64 y #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) x)))) (*.f64 x (-.f64 x (*.f64 y (*.f64 y (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) x)))))))) |
(*.f64 (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 19 924× | accelerator-lowering-fma.f32 |
| 19 924× | accelerator-lowering-fma.f64 |
| 4 650× | *-lowering-*.f32 |
| 4 650× | *-lowering-*.f64 |
| 2 182× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1522 |
| 1 | 212 | 1522 |
| 2 | 544 | 1460 |
| 3 | 1613 | 1450 |
| 4 | 3131 | 1450 |
| 5 | 6652 | 1450 |
| 0 | 8198 | 1351 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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 (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) (- (* 1/120 (pow y 2)) 1/6))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (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) |
(pow y 2) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 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) |
(/ (* 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 |
(+ 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 (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 (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 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
| Outputs |
|---|
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 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 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 y (*.f64 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 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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
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(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(* 1/120 (* x (pow y 4))) |
(fma.f64 x (fma.f64 (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(* 1/120 (* x (pow y 4))) |
(fma.f64 x (fma.f64 (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
Compiled 26 495 to 2 558 computations (90.3% saved)
23 alts after pruning (18 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 093 | 15 | 1 108 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 098 | 23 | 1 121 |
| Status | Accuracy | Program |
|---|---|---|
| 54.1% | (fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) | |
| 54.1% | (fma.f64 (*.f64 y y) (*.f64 x (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))) x) | |
| 91.8% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) | |
| 87.5% | (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| ▶ | 92.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 87.9% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) | |
| ▶ | 53.5% | (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
| 54.1% | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) | |
| 54.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| ▶ | 43.6% | (*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | 87.6% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 51.4% | (*.f64 (/.f64 x y) y) | |
| 46.1% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) | |
| ▶ | 46.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
| ✓ | 91.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| 2.8% | (*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) | |
| ▶ | 54.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 99.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 54.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| ✓ | 54.7% | x |
Compiled 547 to 328 computations (40% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x) |
| ✓ | cost-diff | 384 | (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 3712 | (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
| ✓ | cost-diff | -64 | (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 1408 | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
| ✓ | cost-diff | -64 | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (sin.f64 y) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 7 734× | accelerator-lowering-fma.f32 |
| 7 734× | accelerator-lowering-fma.f64 |
| 3 610× | *-lowering-*.f32 |
| 3 610× | *-lowering-*.f64 |
| 2 924× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 246 |
| 1 | 135 | 242 |
| 2 | 367 | 234 |
| 3 | 1391 | 228 |
| 4 | 4762 | 202 |
| 5 | 6199 | 202 |
| 6 | 7470 | 202 |
| 0 | 8090 | 182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin y) x) y) |
(* (sin y) x) |
(sin y) |
y |
x |
(* x (+ (* y (* y -1/6)) 1)) |
x |
(+ (* y (* y -1/6)) 1) |
y |
(* y -1/6) |
-1/6 |
1 |
(* (/ 1 y) (* y x)) |
(/ 1 y) |
1 |
y |
(* y x) |
x |
(* (/ x y) (* y (+ (* -1/6 (* y y)) 1))) |
(/ x y) |
x |
y |
(* y (+ (* -1/6 (* y y)) 1)) |
(+ (* -1/6 (* y y)) 1) |
-1/6 |
(* y y) |
1 |
(* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
(+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) |
(+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) |
(+ (* y y) 0) |
y |
0 |
(+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(+ (* y 1/120) 0) |
1/120 |
-1/6 |
-1 |
(* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x) |
(/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) |
1 |
(+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) |
(+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
x |
| Outputs |
|---|
(/ (* (sin y) x) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(* (sin y) x) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
y |
x |
(* x (+ (* y (* y -1/6)) 1)) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
x |
(+ (* y (* y -1/6)) 1) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
y |
(* y -1/6) |
(fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(* (/ 1 y) (* y x)) |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* y x) |
(fma.f64 y x #s(literal 0 binary64)) |
x |
(* (/ x y) (* y (+ (* -1/6 (* y y)) 1))) |
(fma.f64 x (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/ x y) |
(/.f64 x y) |
x |
y |
(* y (+ (* -1/6 (* y y)) 1)) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* -1/6 (* y y)) 1) |
(fma.f64 y (fma.f64 y #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
(fma.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) |
(fma.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/14400 binary64) #s(literal -1/360 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) |
(+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* y y) 0) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
0 |
#s(literal 0 binary64) |
(+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/14400 binary64) #s(literal -1/360 binary64)) #s(literal 1/36 binary64)) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(+ (* y 1/120) 0) |
(fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
-1 |
#s(literal -1 binary64) |
(* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x) |
(/.f64 x (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
(/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) |
(fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) |
(+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
(fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) |
| ✓ | accuracy | 99.7% | (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 96.0% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x) |
| ✓ | accuracy | 69.7% | (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 75.2% | (*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 81.0% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 y #s(literal -1/6 binary64)) |
| ✓ | accuracy | 96.7% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 (sin.f64 y) x) |
| ✓ | accuracy | 92.1% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 84.0ms | 256× | 0 | valid |
Compiled 266 to 43 computations (83.8% saved)
ival-mult: 27.0ms (41.8% of total)ival-add: 14.0ms (21.7% of total)const: 9.0ms (13.9% of total)ival-div: 7.0ms (10.8% of total)ival-sin: 7.0ms (10.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (* (sin y) x) y)> |
#<alt (* (sin y) x)> |
#<alt (sin y)> |
#<alt (+ (* y (* y -1/6)) 1)> |
#<alt (* x (+ (* y (* y -1/6)) 1))> |
#<alt (* y -1/6)> |
#<alt (* (/ 1 y) (* y x))> |
#<alt (/ 1 y)> |
#<alt (* y x)> |
#<alt (* (/ x y) (* y (+ (* -1/6 (* y y)) 1)))> |
#<alt (/ x y)> |
#<alt (+ (* -1/6 (* y y)) 1)> |
#<alt (* y (+ (* -1/6 (* y y)) 1))> |
#<alt (* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x))> |
#<alt (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)> |
#<alt (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)> |
#<alt (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)> |
#<alt (* y y)> |
#<alt (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)> |
#<alt (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1))> |
| Outputs |
|---|
#<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 (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 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))> |
#<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 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 (* 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 (* 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> |
#<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 (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt (* -1/6 y)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<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 (* 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 (* 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 (* 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> |
#<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 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 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 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> |
#<alt (+ x (* -1/6 (* x (pow y 2))))> |
#<alt (+ x (* (pow y 2) (- (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (+ x (* (pow y 2) (- (* 1/120 (* x (pow y 2))) (* 1/6 x))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (* 1/120 x)) (* -1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2)))))))> |
#<alt (* (pow y 4) (- (+ (* -1 (/ (+ (* -120 (- (* -1/3 x) (* -1/6 x))) (* -20 (- (* 10/3 x) (+ (* -20 (- (* -1/3 x) (* -1/6 x))) (* -1 x))))) (pow y 6))) (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4)))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2)))))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (* 1/120 x)) (* -1/6 (/ x (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2)))))))> |
#<alt (* (pow y 4) (- (+ (* -1 (/ (+ (* -120 (- (* -1/3 x) (* -1/6 x))) (* -20 (- (* 10/3 x) (+ (* -20 (- (* -1/3 x) (* -1/6 x))) (* -1 x))))) (pow y 6))) (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4)))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2)))))))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -1/360 (pow y 2)))> |
#<alt (+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360)))> |
#<alt (+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360)))> |
#<alt (* 1/14400 (pow y 4))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* 1/14400 (pow y 4))> |
#<alt (* (pow y 4) (- 1/14400 (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* -1 x)> |
#<alt (+ (* -1 x) (* 1/6 (* x (pow y 2))))> |
#<alt (+ (* -1 x) (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* 1/120 x) (* 1/36 x)))) (* -1/6 x))))> |
#<alt (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* 1/120 x) (* 1/36 x))) (* -1/720 x)))) (+ (* 1/120 x) (* 1/36 x)))) (* -1/6 x))))> |
#<alt (* 120 (/ x (pow y 4)))> |
#<alt (/ (+ (* 120 x) (* 2400 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -48000 x) (* -14400 x)) (pow y 4))) (* 120 x)) (* -2400 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -288000 x) (* 20 (+ (* -48000 x) (* -14400 x)))) (pow y 6))) (* 120 x)) (+ (* -48000 (/ x (pow y 4))) (+ (* -14400 (/ x (pow y 4))) (* -2400 (/ x (pow y 2)))))) (pow y 4))> |
#<alt (* 120 (/ x (pow y 4)))> |
#<alt (/ (+ (* 120 x) (* 2400 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -48000 x) (* -14400 x)) (pow y 4))) (* 120 x)) (* -2400 (/ x (pow y 2)))) (pow y 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -288000 x) (* 20 (+ (* -48000 x) (* -14400 x)))) (pow y 6))) (* 120 x)) (+ (* -48000 (/ x (pow y 4))) (+ (* -14400 (/ x (pow y 4))) (* -2400 (/ x (pow y 2)))))) (pow y 4))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt (/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1))> |
#<alt -1> |
#<alt (- (* 1/36 (pow y 4)) 1)> |
#<alt (- (* (pow y 4) (+ 1/36 (* -1/360 (pow y 2)))) 1)> |
#<alt (- (* (pow y 4) (+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360)))) 1)> |
#<alt (* 1/14400 (pow y 8))> |
#<alt (* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8)))))> |
#<alt (* 1/14400 (pow y 8))> |
#<alt (* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8)))))> |
#<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 (* -1/6 y)> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<alt -1> |
#<alt (- (* 1/6 (pow y 2)) 1)> |
#<alt (- (* (pow y 2) (+ 1/6 (* -13/360 (pow y 2)))) 1)> |
#<alt (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/135 (pow y 2)) 13/360)))) 1)> |
#<alt (/ 120 (pow y 4))> |
#<alt (/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4))> |
#<alt (/ 120 (pow y 4))> |
#<alt (/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4))> |
#<alt (/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 250.0ms | x | @ | 0 | (* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
| 3.0ms | y | @ | inf | (* y (+ (* -1/6 (* y y)) 1)) |
| 1.0ms | y | @ | inf | (* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
| 1.0ms | x | @ | inf | (* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
| 1.0ms | y | @ | inf | (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x) |
| 1× | batch-egg-rewrite |
| 4 528× | accelerator-lowering-fma.f32 |
| 4 528× | accelerator-lowering-fma.f64 |
| 4 058× | /-lowering-/.f32 |
| 4 058× | /-lowering-/.f64 |
| 3 094× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 177 |
| 1 | 278 | 147 |
| 2 | 2427 | 145 |
| 0 | 8131 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (sin y) x) y) |
(* (sin y) x) |
(sin y) |
(+ (* y (* y -1/6)) 1) |
(* x (+ (* y (* y -1/6)) 1)) |
(* y -1/6) |
(* (/ 1 y) (* y x)) |
(/ 1 y) |
(* y x) |
(* (/ x y) (* y (+ (* -1/6 (* y y)) 1))) |
(/ x y) |
(+ (* -1/6 (* y y)) 1) |
(* y (+ (* -1/6 (* y y)) 1)) |
(* (+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) (* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x)) |
(+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
(* (/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) x) |
(+ (* (+ (* (+ (* y y) 0) (+ (* y y) 0)) 0) (+ (* (+ (* y (+ (* y 1/120) 0)) -1/6) (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1) |
(* y y) |
(+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0) |
(/ 1 (+ (* y (+ (* y (+ (* y (+ (* y 1/120) 0)) -1/6)) 0)) -1)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (-.f64 #s(literal 0 binary64) y))) |
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x)) y)) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) y) |
(/.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 y x)) |
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64))) (neg.f64 (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 x y)) |
(*.f64 x (*.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(*.f64 (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 1 binary64)) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(+.f64 x (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(+.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) x) |
(+.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) x) |
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 x y)) x) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) (-.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) x))) |
(fma.f64 y (/.f64 x y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 y (*.f64 (*.f64 y #s(literal -1/6 binary64)) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (*.f64 y x) (*.f64 y #s(literal -1/6 binary64)) x) |
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) y) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 x y) y (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)) x x) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 x y) x) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (fma.f64 y y #s(literal 0 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) x))) (fma.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) x) (-.f64 (*.f64 (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 0 binary64)))) (*.f64 x x)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64))))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 15 732× | accelerator-lowering-fma.f32 |
| 15 732× | accelerator-lowering-fma.f64 |
| 4 578× | *-lowering-*.f32 |
| 4 578× | *-lowering-*.f64 |
| 4 008× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2999 |
| 1 | 663 | 2911 |
| 2 | 1993 | 2753 |
| 3 | 6066 | 2750 |
| 0 | 8215 | 2554 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 (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 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)) |
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) |
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)) |
(* 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)))) |
(* 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 |
(+ 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)))) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
(* -1/6 y) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 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) |
(* 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)))) |
(* 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 |
(+ 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 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) |
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)) |
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 |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (- (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(+ x (* (pow y 2) (- (* 1/120 (* x (pow y 2))) (* 1/6 x)))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (* 1/120 x)) (* -1/6 (/ x (pow y 2))))) |
(* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2))))))) |
(* (pow y 4) (- (+ (* -1 (/ (+ (* -120 (- (* -1/3 x) (* -1/6 x))) (* -20 (- (* 10/3 x) (+ (* -20 (- (* -1/3 x) (* -1/6 x))) (* -1 x))))) (pow y 6))) (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4)))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2))))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (* 1/120 x)) (* -1/6 (/ x (pow y 2))))) |
(* (pow y 4) (- (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2))))))) |
(* (pow y 4) (- (+ (* -1 (/ (+ (* -120 (- (* -1/3 x) (* -1/6 x))) (* -20 (- (* 10/3 x) (+ (* -20 (- (* -1/3 x) (* -1/6 x))) (* -1 x))))) (pow y 6))) (+ (* -1/3 (/ x (pow y 2))) (+ (* 1/120 x) (* 10/3 (/ x (pow y 4)))))) (+ (* -20 (/ (- (* -1/3 x) (* -1/6 x)) (pow y 4))) (+ (* -1 (/ x (pow y 4))) (* -1/6 (/ x (pow y 2))))))) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ (* x (- (* (pow y 4) (pow (- (* 1/120 (pow y 2)) 1/6) 2)) 1)) (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
1/36 |
(+ 1/36 (* -1/360 (pow y 2))) |
(+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360))) |
(+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360))) |
(* 1/14400 (pow y 4)) |
(* (pow y 4) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* 1/14400 (pow y 4)) |
(* (pow y 4) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* -1 x) |
(+ (* -1 x) (* 1/6 (* x (pow y 2)))) |
(+ (* -1 x) (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* 1/120 x) (* 1/36 x)))) (* -1/6 x)))) |
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/6 (+ (* 1/120 x) (* 1/36 x))) (* -1/720 x)))) (+ (* 1/120 x) (* 1/36 x)))) (* -1/6 x)))) |
(* 120 (/ x (pow y 4))) |
(/ (+ (* 120 x) (* 2400 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -48000 x) (* -14400 x)) (pow y 4))) (* 120 x)) (* -2400 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -288000 x) (* 20 (+ (* -48000 x) (* -14400 x)))) (pow y 6))) (* 120 x)) (+ (* -48000 (/ x (pow y 4))) (+ (* -14400 (/ x (pow y 4))) (* -2400 (/ x (pow y 2)))))) (pow y 4)) |
(* 120 (/ x (pow y 4))) |
(/ (+ (* 120 x) (* 2400 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -48000 x) (* -14400 x)) (pow y 4))) (* 120 x)) (* -2400 (/ x (pow y 2)))) (pow y 4)) |
(/ (- (+ (* -1 (/ (+ (* -288000 x) (* 20 (+ (* -48000 x) (* -14400 x)))) (pow y 6))) (* 120 x)) (+ (* -48000 (/ x (pow y 4))) (+ (* -14400 (/ x (pow y 4))) (* -2400 (/ x (pow y 2)))))) (pow y 4)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
(/ x (- (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)) 1)) |
-1 |
(- (* 1/36 (pow y 4)) 1) |
(- (* (pow y 4) (+ 1/36 (* -1/360 (pow y 2)))) 1) |
(- (* (pow y 4) (+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360)))) 1) |
(* 1/14400 (pow y 8)) |
(* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8))))) |
(* 1/14400 (pow y 8)) |
(* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8))))) |
(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) |
(* -1/6 y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 3)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
-1 |
(- (* 1/6 (pow y 2)) 1) |
(- (* (pow y 2) (+ 1/6 (* -13/360 (pow y 2)))) 1) |
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/135 (pow y 2)) 13/360)))) 1) |
(/ 120 (pow y 4)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4)) |
(/ 120 (pow y 4)) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4)) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4)) |
| Outputs |
|---|
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
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#s(literal -1 binary64) |
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(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/36 binary64) #s(literal -1 binary64)) |
(- (* (pow y 4) (+ 1/36 (* -1/360 (pow y 2)))) 1) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/360 binary64) #s(literal 1/36 binary64)) #s(literal -1 binary64)) |
(- (* (pow y 4) (+ 1/36 (* (pow y 2) (- (* 1/14400 (pow y 2)) 1/360)))) 1) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/14400 binary64) #s(literal -1/360 binary64)) #s(literal 1/36 binary64)) #s(literal -1 binary64)) |
(* 1/14400 (pow y 8)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 y y))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal -1/360 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8))))) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 8 binary64)))))) |
(* 1/14400 (pow y 8)) |
(*.f64 #s(literal 1/14400 binary64) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- 1/14400 (* 1/360 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal -1/360 binary64) (*.f64 y y))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (* 1/360 (/ 1 (pow y 2))))) |
(*.f64 (+.f64 #s(literal 1/14400 binary64) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal -1/360 binary64) (*.f64 y y)))) (pow.f64 y #s(literal 8 binary64))) |
(* (pow y 8) (- (+ 1/14400 (/ 1/36 (pow y 4))) (+ (* 1/360 (/ 1 (pow y 2))) (/ 1 (pow y 8))))) |
(*.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (+.f64 (/.f64 #s(literal -1/360 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 8 binary64)))))) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(*.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) |
(* 1/120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* 1/120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(*.f64 (*.f64 y y) (*.f64 y (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
-1 |
#s(literal -1 binary64) |
(- (* 1/6 (pow y 2)) 1) |
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) |
(- (* (pow y 2) (+ 1/6 (* -13/360 (pow y 2)))) 1) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -13/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/135 (pow y 2)) 13/360)))) 1) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal 1/135 binary64) #s(literal -13/360 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) |
(/ 120 (pow y 4)) |
(/.f64 #s(literal 120 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4)) |
(/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4)) |
(/.f64 (+.f64 #s(literal 120 binary64) (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (/.f64 #s(literal 62400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 #s(literal 62400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (/.f64 #s(literal 1536000 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ 120 (pow y 4)) |
(/.f64 #s(literal 120 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (* 2400 (/ 1 (pow y 2)))) (pow y 4)) |
(/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (/ 62400 (pow y 4)))) (pow y 4)) |
(/.f64 (+.f64 #s(literal 120 binary64) (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 y y)) (/.f64 #s(literal 62400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/ (+ 120 (+ (* 2400 (/ 1 (pow y 2))) (+ (* 1536000 (/ 1 (pow y 6))) (/ 62400 (pow y 4))))) (pow y 4)) |
(/.f64 (+.f64 (/.f64 #s(literal 62400 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal 2400 binary64) (*.f64 y y))) (/.f64 #s(literal 1536000 binary64) (pow.f64 y #s(literal 6 binary64))))) (*.f64 (*.f64 y y) (*.f64 y y))) |
Compiled 47 325 to 2 706 computations (94.3% saved)
34 alts after pruning (26 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 093 | 15 | 1 108 |
| Fresh | 2 | 11 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 097 | 34 | 1 131 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.0% | (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
| 54.1% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) | |
| 54.1% | (fma.f64 (*.f64 y y) (*.f64 x (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))) x) | |
| 54.0% | (fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) | |
| 54.0% | (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) | |
| 54.1% | (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) | |
| ▶ | 91.8% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
| 87.5% | (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 46.2% | (/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) | |
| ✓ | 92.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 46.9% | (/.f64 (*.f64 y x) y) | |
| 87.9% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 52.0% | (/.f64 y (/.f64 y x)) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 54.1% | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
| 54.0% | (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) | |
| 4.3% | (*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| 4.3% | (*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) | |
| ✓ | 87.6% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 51.4% | (*.f64 (/.f64 x y) y) | |
| ✓ | 46.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
| ✓ | 91.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| ▶ | 43.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 2.8% | (*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) | |
| ✓ | 54.0% | (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 99.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 54.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| ▶ | 2.8% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| 64.0% | (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) | |
| ✓ | 54.7% | x |
Compiled 704 to 448 computations (36.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | cost-diff | 1024 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 0 | (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 y y #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
| ✓ | cost-diff | -64 | (*.f64 y y) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | cost-diff | 0 | (sin.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
| ✓ | cost-diff | 832 | (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
| 5 568× | accelerator-lowering-fma.f32 |
| 5 568× | accelerator-lowering-fma.f64 |
| 2 480× | *-lowering-*.f32 |
| 2 480× | *-lowering-*.f64 |
| 1 802× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 1 | 88 | 155 |
| 2 | 249 | 152 |
| 3 | 800 | 150 |
| 4 | 1778 | 149 |
| 5 | 4368 | 149 |
| 6 | 7638 | 149 |
| 0 | 8148 | 139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ x (/ -1 (sin y))) (- 0 y)) |
(/ x (/ -1 (sin y))) |
x |
(/ -1 (sin y)) |
-1 |
(sin y) |
y |
(- 0 y) |
0 |
(* x (* -1/6 (* y y))) |
x |
(* -1/6 (* y y)) |
-1/6 |
(* y y) |
y |
(+ (* (+ (* y y) 0) (* -1/6 x)) x) |
(+ (* y y) 0) |
y |
0 |
(* -1/6 x) |
-1/6 |
x |
(* (+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) x) |
(+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) |
y |
(* y (+ (* y (+ (* y 1/120) 0)) -1/6)) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(+ (* y 1/120) 0) |
1/120 |
0 |
-1/6 |
1 |
x |
(* (* (/ 1 y) x) (* y (+ (* -1/6 (* y y)) 1))) |
(* (/ 1 y) x) |
(/ 1 y) |
1 |
y |
x |
(* y (+ (* -1/6 (* y y)) 1)) |
(+ (* -1/6 (* y y)) 1) |
-1/6 |
(* y y) |
| Outputs |
|---|
(/ (/ x (/ -1 (sin y))) (- 0 y)) |
(fma.f64 x (/.f64 (sin.f64 y) y) #s(literal 0 binary64)) |
(/ x (/ -1 (sin y))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (sin.f64 y) #s(literal 0 binary64))) |
x |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
-1 |
#s(literal -1 binary64) |
(sin y) |
(sin.f64 y) |
y |
(- 0 y) |
(-.f64 #s(literal 0 binary64) y) |
0 |
#s(literal 0 binary64) |
(* x (* -1/6 (* y y))) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 y (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* -1/6 (* y y)) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
(+ (* (+ (* y y) 0) (* -1/6 x)) x) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* y y) 0) |
(fma.f64 y y #s(literal 0 binary64)) |
y |
0 |
#s(literal 0 binary64) |
(* -1/6 x) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(* (+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) x) |
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
y |
(* y (+ (* y (+ (* y 1/120) 0)) -1/6)) |
(fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(+ (* y 1/120) 0) |
(fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
0 |
#s(literal 0 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
x |
(* (* (/ 1 y) x) (* y (+ (* -1/6 (* y y)) 1))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (/ 1 y) x) |
(/.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
x |
(* y (+ (* -1/6 (* y y)) 1)) |
(fma.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ (* -1/6 (* y y)) 1) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) y) x) |
| ✓ | accuracy | 75.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 96.6% | (*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 100.0% | (fma.f64 y y #s(literal 0 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | accuracy | 96.6% | (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) |
| ✓ | accuracy | 90.0% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| ✓ | accuracy | 100.0% | (sin.f64 y) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal -1 binary64) (sin.f64 y)) |
| ✓ | accuracy | 99.6% | (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
| ✓ | accuracy | 92.1% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
| 68.0ms | 256× | 0 | valid |
Compiled 164 to 34 computations (79.3% saved)
ival-mult: 18.0ms (35.9% of total)ival-add: 8.0ms (16% of total)ival-sin: 8.0ms (16% of total)ival-div: 7.0ms (14% of total)const: 7.0ms (14% of total)ival-sub: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (/ -1 (sin y)))> |
#<alt (/ (/ x (/ -1 (sin y))) (- 0 y))> |
#<alt (/ -1 (sin y))> |
#<alt (sin y)> |
#<alt (* x (* -1/6 (* y y)))> |
#<alt (* -1/6 (* y y))> |
#<alt (* y y)> |
#<alt (+ (* (+ (* y y) 0) (* -1/6 x)) x)> |
#<alt (+ (* y y) 0)> |
#<alt (* -1/6 x)> |
#<alt (+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1)> |
#<alt (+ (* y (+ (* y 1/120) 0)) -1/6)> |
#<alt (+ (* y 1/120) 0)> |
#<alt (* (+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) x)> |
#<alt (* (* (/ 1 y) x) (* y (+ (* -1/6 (* y y)) 1)))> |
#<alt (* (/ 1 y) x)> |
#<alt (/ 1 y)> |
#<alt (+ (* -1/6 (* y y)) 1)> |
#<alt (* y (+ (* y (+ (* y 1/120) 0)) -1/6))> |
#<alt (* y (+ (* -1/6 (* y y)) 1))> |
| Outputs |
|---|
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))> |
#<alt (* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))> |
#<alt (* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin y)))> |
#<alt (* -1 (* x (sin 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 (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 y)> |
#<alt (/ (- (* -1/6 (pow y 2)) 1) y)> |
#<alt (/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y)> |
#<alt (/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y)> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (sin y))> |
#<alt (/ -1 (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 (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (* x (pow y 2)))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (pow y 2))> |
#<alt (* -1/6 (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 (pow y 2)> |
#<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 (+ 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 (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 (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<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) (- (* 1/120 (pow y 2)) 1/6)))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 4))> |
#<alt (* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (- (* 1/120 (pow y 2)) 1/6)> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 2))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 y)> |
#<alt (* 1/120 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) (* 1/120 (* x (pow y 2))))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* 1/120 (* x (pow y 4)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))> |
#<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 (+ 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 (* 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 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 (/ 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> |
#<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 (* -1/6 y)> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* y (- (* 1/120 (pow y 2)) 1/6))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))> |
#<alt (* 1/120 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<alt (* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120)))> |
#<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)))))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (* -1/6 (* y y))) |
| 0.0ms | x | @ | inf | (* x (* -1/6 (* y y))) |
| 0.0ms | y | @ | -inf | (/ -1 (sin y)) |
| 0.0ms | y | @ | inf | (/ -1 (sin y)) |
| 0.0ms | x | @ | 0 | (/ x (/ -1 (sin y))) |
| 1× | batch-egg-rewrite |
| 6 736× | accelerator-lowering-fma.f32 |
| 6 736× | accelerator-lowering-fma.f64 |
| 4 058× | *-lowering-*.f32 |
| 4 058× | *-lowering-*.f64 |
| 3 590× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 131 |
| 1 | 198 | 125 |
| 2 | 1691 | 123 |
| 0 | 8503 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ -1 (sin y))) |
(/ (/ x (/ -1 (sin y))) (- 0 y)) |
(/ -1 (sin y)) |
(sin y) |
(* x (* -1/6 (* y y))) |
(* -1/6 (* y y)) |
(* y y) |
(+ (* (+ (* y y) 0) (* -1/6 x)) x) |
(+ (* y y) 0) |
(* -1/6 x) |
(+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) |
(+ (* y (+ (* y 1/120) 0)) -1/6) |
(+ (* y 1/120) 0) |
(* (+ (* y (* y (+ (* y (+ (* y 1/120) 0)) -1/6))) 1) x) |
(* (* (/ 1 y) x) (* y (+ (* -1/6 (* y y)) 1))) |
(* (/ 1 y) x) |
(/ 1 y) |
(+ (* -1/6 (* y y)) 1) |
(* y (+ (* y (+ (* y 1/120) 0)) -1/6)) |
(* y (+ (* -1/6 (* y y)) 1)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (*.f64 x (sin.f64 y))) |
(neg.f64 (*.f64 x (sin.f64 y))) |
(/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y)))) |
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(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) y)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y) (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y))) |
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) y) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))) (neg.f64 (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) y)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y)) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (fma.f64 y y (-.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (*.f64 y (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64))) (-.f64 y (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y))) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (*.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 25 278× | accelerator-lowering-fma.f32 |
| 25 278× | accelerator-lowering-fma.f64 |
| 5 054× | *-lowering-*.f32 |
| 5 054× | *-lowering-*.f64 |
| 2 836× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 134 | 2178 |
| 1 | 373 | 2151 |
| 2 | 1030 | 2103 |
| 3 | 3229 | 2091 |
| 4 | 7231 | 2091 |
| 0 | 8128 | 1937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin y))) |
(* -1 (* x (sin 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 (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 y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (sin y)) |
(/ -1 (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) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (* x (pow y 2))) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (pow y 2)) |
(* -1/6 (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) |
(pow y 2) |
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 (+ 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))) |
(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) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 y) |
(* 1/120 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) (* 1/120 (* x (pow y 2)))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* 1/120 (* x (pow y 4))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4))))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
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 (+ 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)))) |
(* 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 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) |
(/ 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 |
(+ 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)) |
(* -1/6 y) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(* 1/120 (pow y 3)) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* 1/120 (pow y 3)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
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))))) |
| Outputs |
|---|
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 x y)) |
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2))))) |
(*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))) |
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 x (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 (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2))))))))) |
(*.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) x))) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (sin y))) |
(fma.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (*.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)) x) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ (* x (sin y)) y) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1/6 (pow y 2)) 1) y) |
(fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* -7/360 (pow y 2)) 1/6)) 1) y) |
(fma.f64 y (fma.f64 (*.f64 y y) #s(literal -7/360 binary64) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (pow y 2)) 7/360)) 1/6)) 1) y) |
(fma.f64 y (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal -31/15120 binary64)) #s(literal -7/360 binary64)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
(/ -1 (sin y)) |
(/.f64 #s(literal -1 binary64) (sin.f64 y)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 y (fma.f64 y (*.f64 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 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) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
(*.f64 x (*.f64 y (*.f64 y #s(literal -1/6 binary64)))) |
(* -1/6 (* x (pow y 2))) |
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(fma.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
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 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow y 2)) |
(*.f64 y (*.f64 y #s(literal -1/6 binary64))) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 y #s(literal -1/6 binary64)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* y (- (* 1/120 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* 1/120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* 1/120 (pow y 3)) |
(*.f64 y (*.f64 (*.f64 y y) #s(literal 1/120 binary64))) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- (* 1/6 (/ 1 (pow y 2))) 1/120))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -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 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2))))) |
(fma.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
Compiled 38 237 to 3 685 computations (90.4% saved)
41 alts after pruning (32 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 594 | 16 | 1 610 |
| Fresh | 5 | 16 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 7 | 8 |
| Total | 1 603 | 41 | 1 644 |
| Status | Accuracy | Program |
|---|---|---|
| 54.0% | (fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) | |
| 54.1% | (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) | |
| 54.1% | (fma.f64 (*.f64 y y) (*.f64 x (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))) x) | |
| 54.0% | (fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) | |
| 56.4% | (/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y)) | |
| ✓ | 91.8% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
| 46.7% | (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) | |
| 87.5% | (/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) | |
| 46.2% | (/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) | |
| 2.8% | (/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 92.0% | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 46.9% | (/.f64 (*.f64 y x) y) | |
| 2.8% | (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) | |
| 87.9% | (/.f64 (sin.f64 y) (/.f64 y x)) | |
| 52.0% | (/.f64 y (/.f64 y x)) | |
| 51.9% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) | |
| 91.5% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) | |
| 46.1% | (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) | |
| 54.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| 54.1% | (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) | |
| 4.3% | (*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) | |
| 4.3% | (*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) | |
| ✓ | 87.6% | (*.f64 (/.f64 x y) (sin.f64 y)) |
| 51.4% | (*.f64 (/.f64 x y) y) | |
| ✓ | 46.7% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
| ✓ | 91.8% | (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
| 2.8% | (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) | |
| 4.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) | |
| 51.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) | |
| 2.8% | (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) | |
| 2.8% | (*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) | |
| 2.8% | (*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) | |
| ✓ | 99.8% | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 53.9% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 99.7% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
| 54.6% | (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) | |
| 2.8% | (*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) | |
| 2.8% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) | |
| ✓ | 2.8% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
| 64.0% | (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) | |
| ✓ | 54.7% | x |
Compiled 1 082 to 457 computations (57.8% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x y) (sin.f64 y)) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (sin.f64 y))) |
(/.f64 (sin.f64 y) (/.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) y))))) x) (*.f64 (sin.f64 y) (-.f64 #s(literal 0 binary64) y))) |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
4 calls:
| 17.0ms | x |
| 17.0ms | (/.f64 (sin.f64 y) y) |
| 16.0ms | y |
| 16.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 99.8% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
| Outputs |
|---|
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
4 calls:
| 36.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 23.0ms | y |
| 13.0ms | x |
| 12.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 1 | x |
| 64.0% | 1 | y |
| 64.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (*.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y)) |
4 calls:
| 14.0ms | (/.f64 (sin.f64 y) y) |
| 14.0ms | x |
| 12.0ms | y |
| 12.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | y |
| 63.7% | 2 | x |
| 64.6% | 2 | (/.f64 (sin.f64 y) y) |
| 63.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) |
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 y (fma.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 y y) (*.f64 x (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))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
2 calls:
| 13.0ms | y |
| 12.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 2 | (/.f64 (sin.f64 y) y) |
| 64.2% | 2 | y |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (*.f64 y (*.f64 y #s(literal -1/6 binary64))))) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
2 calls:
| 12.0ms | (/.f64 (sin.f64 y) y) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | (/.f64 (sin.f64 y) y) |
| 64.0% | 2 | y |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) y) (*.f64 y x) x) |
(*.f64 x (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 x y) (*.f64 y (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x y) (*.f64 y (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) y) |
| Outputs |
|---|
(fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) |
(/.f64 y (/.f64 y x)) |
1 calls:
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) |
(/.f64 y (/.f64 y x)) |
2 calls:
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | (/.f64 (sin.f64 y) y) |
| 64.0% | 2 | y |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (/.f64 y x)) |
(*.f64 y (*.f64 y (*.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 y (*.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(/.f64 y (/.f64 y x)) |
3 calls:
| 8.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 63.8% | 2 | (/.f64 (sin.f64 y) y) |
| 63.9% | 2 | y |
Compiled 17 to 11 computations (35.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(fma.f64 (*.f64 y #s(literal -1/6 binary64)) (*.f64 y x) x) |
(fma.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y x) |
(fma.f64 (*.f64 x (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/6 binary64) x) |
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -1/6 binary64) x) x) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) |
(*.f64 (/.f64 x y) y) |
2 calls:
| 6.0ms | y |
| 5.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | (/.f64 (sin.f64 y) y) |
| 63.8% | 2 | y |
Compiled 9 to 6 computations (33.3% saved)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 y x) y) |
| Outputs |
|---|
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x y) y) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 2 | y |
Compiled 3 to 2 computations (33.3% saved)
Total -33.5b remaining (-115.4%)
Threshold costs -33.5b (-115.4%)
| Inputs |
|---|
x |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 y y))) |
(*.f64 x (*.f64 (*.f64 y #s(literal -1/6 binary64)) y)) |
(*.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) y) y) |
(*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) x) #s(literal -1/6 binary64)) |
| Outputs |
|---|
x |
4 calls:
| 44.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 54.7% | 1 | x |
| 54.7% | 1 | (/.f64 (sin.f64 y) y) |
| 54.7% | 1 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.932639979244936 | 57428.78378244273 |
| 9.0ms | 128× | 0 | valid |
Compiled 299 to 186 computations (37.8% saved)
ival-sin: 4.0ms (66.5% of total)ival-div: 1.0ms (16.6% of total)ival-mult: 1.0ms (16.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.932639979244936 | 57428.78378244273 |
| 9.0ms | 128× | 0 | valid |
Compiled 259 to 154 computations (40.5% saved)
ival-sin: 4.0ms (67.1% of total)ival-div: 1.0ms (16.8% of total)ival-mult: 1.0ms (16.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 97.0ms | 3.932639979244936 | 57428.78378244273 |
| 92.0ms | 128× | 0 | valid |
Compiled 219 to 146 computations (33.3% saved)
ival-sin: 4.0ms (64.1% of total)ival-div: 1.0ms (16% of total)ival-mult: 1.0ms (16% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.932639979244936 | 57428.78378244273 |
| 9.0ms | 128× | 0 | valid |
Compiled 203 to 130 computations (36% saved)
ival-sin: 4.0ms (64.6% of total)ival-div: 1.0ms (16.2% of total)ival-mult: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 3.932639979244936 | 57428.78378244273 |
| 69.0ms | 128× | 0 | valid |
Compiled 203 to 138 computations (32% saved)
ival-sin: 64.0ms (96.8% of total)ival-div: 1.0ms (1.5% of total)ival-mult: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.932639979244936 | 57428.78378244273 |
| 9.0ms | 128× | 0 | valid |
Compiled 163 to 106 computations (35% saved)
ival-sin: 4.0ms (65.1% of total)ival-div: 1.0ms (16.3% of total)ival-mult: 1.0ms (16.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.932639979244936 | 57428.78378244273 |
| 14.0ms | 128× | 0 | valid |
Compiled 163 to 106 computations (35% saved)
ival-sin: 4.0ms (63.2% of total)ival-div: 1.0ms (15.8% of total)ival-mult: 1.0ms (15.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.932639979244936 | 57428.78378244273 |
| 9.0ms | 128× | 0 | valid |
Compiled 163 to 114 computations (30.1% saved)
ival-sin: 4.0ms (63.8% of total)ival-div: 1.0ms (15.9% of total)ival-mult: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 40× | *-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 16× | +-commutative_binary64 |
| 16× | neg-sub0_binary64 |
| 16× | neg-mul-1_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 206 |
| 1 | 77 | 206 |
| 2 | 88 | 206 |
| 3 | 102 | 206 |
| 4 | 118 | 205 |
| 5 | 131 | 205 |
| 6 | 135 | 205 |
| 7 | 136 | 205 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 y y) (*.f64 x (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))) x) (/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 y y) (*.f64 x (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))) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) (*.f64 (/.f64 x y) y)) |
(if (<=.f64 y #s(literal 3200 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y)) |
x |
| Outputs |
|---|
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64))) x)) |
(*.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y (fma.f64 y (fma.f64 y #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 y y) (*.f64 x (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))) x) (/.f64 (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) y))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 y y) (*.f64 x (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))) x) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 y #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) y)))) y)) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 y y) (*.f64 x (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))) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (fma.f64 y (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 9/2 binary64)) (*.f64 x (fma.f64 (*.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) (/.f64 y (/.f64 y x))) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) (*.f64 (/.f64 x y) y)) |
(if (<=.f64 y #s(literal 3200 binary64)) (fma.f64 (*.f64 x (*.f64 y #s(literal -1/6 binary64))) y x) (*.f64 y (/.f64 x y))) |
(if (<=.f64 y #s(literal 3200 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 x y) y)) |
(if (<=.f64 y #s(literal 3200 binary64)) (*.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (*.f64 y (/.f64 x y))) |
x |
| 25 278× | accelerator-lowering-fma.f32 |
| 25 278× | accelerator-lowering-fma.f64 |
| 19 924× | accelerator-lowering-fma.f32 |
| 19 924× | accelerator-lowering-fma.f64 |
| 16 120× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 306 |
| 1 | 118 | 306 |
| 2 | 310 | 296 |
| 3 | 910 | 294 |
| 4 | 1439 | 294 |
| 5 | 2227 | 294 |
| 6 | 3349 | 294 |
| 7 | 3639 | 294 |
| 8 | 4369 | 294 |
| 9 | 6831 | 294 |
| 0 | 8504 | 276 |
| 0 | 73 | 1522 |
| 1 | 212 | 1522 |
| 2 | 544 | 1460 |
| 3 | 1613 | 1450 |
| 4 | 3131 | 1450 |
| 5 | 6652 | 1450 |
| 0 | 8198 | 1351 |
| 0 | 5 | 12 |
| 1 | 16 | 12 |
| 2 | 69 | 12 |
| 3 | 331 | 12 |
| 0 | 1793 | 12 |
| 0 | 23 | 77 |
| 1 | 129 | 75 |
| 2 | 1085 | 75 |
| 0 | 8748 | 70 |
| 0 | 134 | 2178 |
| 1 | 373 | 2151 |
| 2 | 1030 | 2103 |
| 3 | 3229 | 2091 |
| 4 | 7231 | 2091 |
| 0 | 8128 | 1937 |
| 0 | 41 | 177 |
| 1 | 278 | 147 |
| 2 | 2427 | 145 |
| 0 | 8131 | 130 |
| 0 | 241 | 2999 |
| 1 | 663 | 2911 |
| 2 | 1993 | 2753 |
| 3 | 6066 | 2750 |
| 0 | 8215 | 2554 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 565 to 300 computations (46.9% saved)
(negabs x)
(abs y)
Compiled 528 to 186 computations (64.8% saved)
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