
Time bar (total: 11.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.4% | 49.6% | 0% | 0% | 0% | 0 |
| 100% | 50.4% | 0% | 49.6% | 0% | 0% | 0% | 1 |
Compiled 12 to 9 computations (25% saved)
| 644.0ms | 7 092× | 1 | valid |
| 112.0ms | 812× | 2 | valid |
| 16.0ms | 352× | 0 | valid |
ival-sin: 254.0ms (47.2% of total)ival-sub: 96.0ms (17.8% of total)ival-<: 86.0ms (16% of total)adjust: 78.0ms (14.5% of total)ival-and: 11.0ms (2% of total)exact: 10.0ms (1.9% of total)ival-assert: 3.0ms (0.6% of total)| 2× | egg-herbie |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 32× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 17 | 13 |
| 2 | 50 | 12 |
| 3 | 102 | 12 |
| 4 | 132 | 12 |
| 5 | 134 | 12 |
| 0 | 3 | 4 |
| 1 | 5 | 4 |
| 2 | 10 | 4 |
| 3 | 16 | 4 |
| 4 | 24 | 4 |
| 5 | 39 | 4 |
| 6 | 72 | 4 |
| 7 | 96 | 4 |
| 8 | 138 | 4 |
| 9 | 155 | 4 |
| 10 | 167 | 4 |
| 0 | 167 | 4 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (sin x) x) |
| Outputs |
|---|
(- (sin x) x) |
(-.f64 (sin.f64 x) x) |
| Inputs |
|---|
(- (sin x) x) |
(- (sin (neg x)) (neg x)) |
(neg (- (sin (neg x)) (neg x))) |
| Outputs |
|---|
(- (sin x) x) |
(- (sin (neg x)) (neg x)) |
(- x (sin x)) |
(neg (- (sin (neg x)) (neg x))) |
(- (sin x) x) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 82 | 3 | (3.0055221576456266e-108) | 0 | - | (-.f64 (sin.f64 x) x) |
| 0 | 0 | - | 0 | - | (sin.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sin.f64 x) x) | cancellation | 85 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 0 |
| - | 3 | 171 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 0 | 0 |
| - | 3 | 0 | 171 |
| number | freq |
|---|---|
| 0 | 171 |
| 1 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 418× | 1 | valid |
| 9.0ms | 66× | 2 | valid |
| 1.0ms | 28× | 0 | valid |
Compiled 28 to 16 computations (42.9% saved)
ival-sin: 14.0ms (59.6% of total)ival-sub: 5.0ms (21.3% of total)adjust: 4.0ms (17% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.0% | (-.f64 (sin.f64 x) x) |
Compiled 5 to 3 computations (40% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (sin.f64 x) x) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 32× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 7 |
| 1 | 5 | 7 |
| 2 | 10 | 7 |
| 3 | 16 | 7 |
| 4 | 24 | 7 |
| 5 | 39 | 7 |
| 6 | 72 | 7 |
| 7 | 96 | 7 |
| 8 | 138 | 7 |
| 9 | 155 | 7 |
| 10 | 167 | 7 |
| 0 | 167 | 7 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (sin x) x) |
(sin x) |
x |
| Outputs |
|---|
(- (sin x) x) |
(-.f64 (sin.f64 x) x) |
(sin x) |
(sin.f64 x) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sin.f64 x) |
| ✓ | accuracy | 71.0% | (-.f64 (sin.f64 x) x) |
| 90.0ms | 209× | 1 | valid |
| 4.0ms | 33× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sub: 79.0ms (89.6% of total)ival-sin: 7.0ms (7.9% of total)adjust: 2.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (sin x) x)> |
#<alt (sin x)> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
#<alt (sin x)> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- (sin x) x) |
| 0.0ms | x | @ | inf | (- (sin x) x) |
| 0.0ms | x | @ | 0 | (sin x) |
| 0.0ms | x | @ | -inf | (- (sin x) x) |
| 0.0ms | x | @ | inf | (sin x) |
| 1× | batch-egg-rewrite |
| 4 646× | /-lowering-/.f32 |
| 4 646× | /-lowering-/.f64 |
| 4 252× | accelerator-lowering-fma.f32 |
| 4 252× | accelerator-lowering-fma.f64 |
| 3 550× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 6 |
| 1 | 18 | 6 |
| 2 | 146 | 6 |
| 3 | 1494 | 6 |
| 0 | 8327 | 6 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (sin x) x) |
(sin x) |
| Outputs |
|---|
(+.f64 (sin.f64 x) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64))) |
(-.f64 (sin.f64 x) x) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 x (sin.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)) (+.f64 x (sin.f64 x)))) |
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (neg.f64 (*.f64 x (sin.f64 x))))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x))) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 x (sin.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 x (*.f64 x x))) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 x (sin.f64 x))) (pow.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (*.f64 x x)) (pow.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(*.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x)))) |
(*.f64 (+.f64 x (sin.f64 x)) (*.f64 (-.f64 (sin.f64 x) x) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))) |
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 x (sin.f64 x)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (sin.f64 x))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x)))) (-.f64 (sin.f64 x) x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (+.f64 x (sin.f64 x))) (-.f64 (*.f64 x (+.f64 x (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x (+.f64 x (sin.f64 x)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64))) |
(sin.f64 x) |
(pow.f64 (sin.f64 x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 12 140× | accelerator-lowering-fma.f32 |
| 12 140× | accelerator-lowering-fma.f64 |
| 3 244× | *-lowering-*.f32 |
| 3 244× | *-lowering-*.f64 |
| 2 514× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 949 | 152 |
| 4 | 2043 | 140 |
| 5 | 3944 | 140 |
| 0 | 8028 | 128 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (/ (sin x) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
(sin x) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* x (- (/ (sin x) x) 1)) |
(-.f64 (sin.f64 x) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(-.f64 (sin.f64 x) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
(sin x) |
(sin.f64 x) |
Compiled 7 866 to 593 computations (92.5% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 15 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 183 | 16 | 199 |
| Status | Accuracy | Program |
|---|---|---|
| 97.8% | (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) | |
| 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| 2.5% | (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) | |
| ▶ | 98.1% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
| ▶ | 6.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| 70.2% | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| ▶ | 69.3% | (-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| 69.0% | (-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) | |
| ▶ | 69.1% | (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| 3.1% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) | |
| ✓ | 71.0% | (-.f64 (sin.f64 x) x) |
| 68.0% | (-.f64 x x) | |
| ▶ | 6.5% | (-.f64 #s(literal 0 binary64) x) |
| 5.8% | (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) | |
| 98.1% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
Compiled 663 to 351 computations (47.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 192 | (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
| 13 682× | accelerator-lowering-fma.f32 |
| 13 682× | accelerator-lowering-fma.f64 |
| 3 476× | *-lowering-*.f32 |
| 3 476× | *-lowering-*.f64 |
| 2 782× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 316 |
| 1 | 130 | 300 |
| 2 | 385 | 296 |
| 3 | 1106 | 296 |
| 4 | 2979 | 296 |
| 5 | 6365 | 296 |
| 0 | 8321 | 268 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
x |
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) |
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(* x x) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
-1/6 |
0 |
(- 0 x) |
0 |
x |
(- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x) |
(+ (* x (+ (* -1/6 (* x x)) 1)) 0) |
x |
(+ (* -1/6 (* x x)) 1) |
-1/6 |
(* x x) |
1 |
0 |
(- (+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) x) |
(+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) |
x |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1) |
(* x x) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
-1/6 |
1 |
0 |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(pow (sin x) 4) |
(sin x) |
x |
4 |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x))) |
(+ x (sin x)) |
(+ (* (- 1 (cos (+ x x))) 1/2) (* x x)) |
(- 1 (cos (+ x x))) |
1 |
(cos (+ x x)) |
(+ x x) |
1/2 |
| Outputs |
|---|
(+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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 0 binary64)) |
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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 0 binary64)) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(fma.f64 x #s(literal -1/5040 binary64) #s(literal 0 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* -1/6 (* x x)) 1)) 0) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
x |
(+ (* -1/6 (* x x)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
0 |
#s(literal 0 binary64) |
(- (+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) x) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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)) #s(literal 0 binary64)) |
x |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #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 -1/5040)) 1/120) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(fma.f64 x #s(literal -1/5040 binary64) #s(literal 0 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
0 |
#s(literal 0 binary64) |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64))))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(sin x) |
(sin.f64 x) |
x |
4 |
#s(literal 4 binary64) |
(* x (* x (* x x))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x))) |
(*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64)))) |
(+ x (sin x)) |
(+.f64 x (sin.f64 x)) |
(+ (* (- 1 (cos (+ x x))) 1/2) (* x x)) |
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1/2 binary64))) |
(- 1 (cos (+ x x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) |
1 |
#s(literal 1 binary64) |
(cos (+ x x)) |
(cos.f64 (+.f64 x x)) |
(+ x x) |
(+.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 86.1% | (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 47.8% | (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) |
| ✓ | accuracy | 21.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 71.0% | (-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 71.0% | (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.4% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| 168.0ms | 217× | 1 | valid |
| 34.0ms | 33× | 2 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 309 to 44 computations (85.8% saved)
ival-mult: 47.0ms (28.1% of total)ival-cos: 31.0ms (18.5% of total)ival-add: 25.0ms (15% of total)const: 18.0ms (10.8% of total)adjust: 18.0ms (10.8% of total)ival-sub: 10.0ms (6% of total)ival-sin: 7.0ms (4.2% of total)ival-pow: 5.0ms (3% of total)ival-div: 3.0ms (1.8% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0)> |
#<alt (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)> |
#<alt (+ (* x (* x -1/5040)) 1/120)> |
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))> |
#<alt (- 0 x)> |
#<alt (- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x)> |
#<alt (+ (* x (+ (* -1/6 (* x x)) 1)) 0)> |
#<alt (+ (* -1/6 (* x x)) 1)> |
#<alt (* x x)> |
#<alt (- (+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) x)> |
#<alt (+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0)> |
#<alt (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)> |
#<alt (+ (* (- 1 (cos (+ x x))) 1/2) (* x x))> |
#<alt (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x))))> |
#<alt (- (pow (sin x) 4) (* x (* x (* x x))))> |
#<alt (pow (sin x) 4)> |
#<alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))> |
#<alt (- 1 (cos (+ x x)))> |
#<alt (* x (* x x))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* -1/3 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (* -1 (/ (+ (* -1/2 (- 1 (cos (* 2 x)))) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1/2 (- 1 (cos (* 2 x)))) (pow (sin x) 2)))) (+ (* -1/2 (* (sin x) (- 1 (cos (* 2 x))))) (* 1/2 (* (sin x) (- 1 (cos (* 2 x))))))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (- 1 (cos (* 2 x))) (pow x 2))) (/ (pow (sin x) 2) (pow x 2)))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) x))) (* -1 (sin x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin x) (- 1 (cos (neg (* -2 x))))) x)) (+ (* 1/2 (/ (* (sin x) (- 1 (cos (neg (* -2 x))))) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (* 1/2 (- 1 (cos (neg (* -2 x))))))) x))) (+ (* -1 (pow (sin x) 2)) (* 1/2 (- 1 (cos (neg (* -2 x))))))) x)) (* -1 (sin x))) x)))))> |
#<alt (* -2/3 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/5 (pow x 2)) 2/3))> |
#<alt (* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))> |
#<alt (* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3))> |
#<alt (* -1 (pow x 4))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* -1 (pow x 4))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1))> |
#<alt (pow x 4)> |
#<alt (* (pow x 4) (+ 1 (* -2/3 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))> |
#<alt (* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (pow (sin x) 4)> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* -2/3 (pow x 2))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3))))> |
#<alt (* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3))))> |
#<alt (- 1 (cos (* 2 x)))> |
#<alt (- 1 (cos (* 2 x)))> |
#<alt (- 1 (cos (* 2 x)))> |
#<alt (- 1 (cos (* 2 x)))> |
#<alt (- 1 (cos (neg (* -2 x))))> |
#<alt (- 1 (cos (neg (* -2 x))))> |
#<alt (- 1 (cos (neg (* -2 x))))> |
#<alt (- 1 (cos (neg (* -2 x))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
| 1.0ms | x | @ | 0 | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
| 1.0ms | x | @ | 0 | (- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x) |
| 1.0ms | x | @ | inf | (+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
| 1.0ms | x | @ | inf | (/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
| 1× | batch-egg-rewrite |
| 2 018× | accelerator-lowering-fma.f32 |
| 2 018× | accelerator-lowering-fma.f64 |
| 1 470× | *-lowering-*.f32 |
| 1 470× | *-lowering-*.f64 |
| 1 022× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 225 |
| 1 | 314 | 203 |
| 0 | 3015 | 181 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(+ (* x (* x -1/5040)) 1/120) |
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) |
(- 0 x) |
(- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x) |
(+ (* x (+ (* -1/6 (* x x)) 1)) 0) |
(+ (* -1/6 (* x x)) 1) |
(* x x) |
(- (+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) x) |
(+ (* x (+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1)) 0) |
(+ (* (* x x) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) 1) |
(+ (* (- 1 (cos (+ x x))) 1/2) (* x x)) |
(/ (- (pow (sin x) 4) (* x (* x (* x x)))) (* (+ x (sin x)) (+ (* (- 1 (cos (+ x x))) 1/2) (* x x)))) |
(- (pow (sin x) 4) (* x (* x (* x x)))) |
(pow (sin x) 4) |
(* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(- 1 (cos (+ x x))) |
(* x (* x x)) |
| Outputs |
|---|
(+.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(+.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(+.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(+.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) x) (*.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)))) |
(-.f64 (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)))) |
(-.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 8 binary64)))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 8 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 12 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (pow.f64 (sin.f64 x) #s(literal 8 binary64))))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))) |
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (sin.f64 x)))) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (sin.f64 x))) #s(literal 4 binary64)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x #s(literal -1/6 binary64))) |
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 x #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) x (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (-.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))))) |
(fma.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 #s(literal 0 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) |
(fma.f64 #s(literal -1 binary64) (cos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 #s(literal 0 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 #s(literal 0 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 11 894× | accelerator-lowering-fma.f32 |
| 11 894× | accelerator-lowering-fma.f64 |
| 3 714× | *-lowering-*.f32 |
| 3 714× | *-lowering-*.f64 |
| 2 758× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 2228 |
| 1 | 706 | 2176 |
| 2 | 2036 | 2138 |
| 3 | 6108 | 2082 |
| 0 | 8469 | 1974 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -1/3 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 x))) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (* -1 (/ (+ (* -1/2 (- 1 (cos (* 2 x)))) (pow (sin x) 2)) (pow x 2))) (+ 1 (* -1 (/ (sin x) x))))) |
(* x (- (* -1 (/ (+ (* -1 (* (sin x) (+ (* -1/2 (- 1 (cos (* 2 x)))) (pow (sin x) 2)))) (+ (* -1/2 (* (sin x) (- 1 (cos (* 2 x))))) (* 1/2 (* (sin x) (- 1 (cos (* 2 x))))))) (pow x 3))) (+ 1 (+ (* -1 (/ (sin x) x)) (+ (* -1/2 (/ (- 1 (cos (* 2 x))) (pow x 2))) (/ (pow (sin x) 2) (pow x 2))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin x) 2) x)) (* 1/2 (/ (- 1 (cos (neg (* -2 x)))) x))) (* -1 (sin x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin x) (- 1 (cos (neg (* -2 x))))) x)) (+ (* 1/2 (/ (* (sin x) (- 1 (cos (neg (* -2 x))))) x)) (/ (* (sin x) (+ (* -1 (pow (sin x) 2)) (* 1/2 (- 1 (cos (neg (* -2 x))))))) x))) (+ (* -1 (pow (sin x) 2)) (* 1/2 (- 1 (cos (neg (* -2 x))))))) x)) (* -1 (sin x))) x))))) |
(* -2/3 (pow x 6)) |
(* (pow x 6) (- (* 1/5 (pow x 2)) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)) |
(* (pow x 6) (- (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* 62/14175 (pow x 2)) 34/945)))) 2/3)) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* -1 (pow x 4)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(pow x 4) |
(* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(pow (sin x) 4) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 5)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3)))) |
(- 1 (cos (* 2 x))) |
(- 1 (cos (* 2 x))) |
(- 1 (cos (* 2 x))) |
(- 1 (cos (* 2 x))) |
(- 1 (cos (neg (* -2 x)))) |
(- 1 (cos (neg (* -2 x)))) |
(- 1 (cos (neg (* -2 x)))) |
(- 1 (cos (neg (* -2 x)))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1/5040 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (pow x 4)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 4) (- (/ (pow (sin x) 4) (pow x 4)) 1)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(* (pow x 4) (+ 1 (* -2/3 (pow x 2)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 1 binary64))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal -2/3 binary64))) #s(literal 1 binary64))) |
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3)))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -34/945 binary64) #s(literal 1/5 binary64))) #s(literal -2/3 binary64))) #s(literal 1 binary64))) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(pow (sin x) 4) |
(pow.f64 (sin.f64 x) #s(literal 4 binary64)) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64))) |
(* 2 (pow x 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 2 (* -2/3 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* 4/45 (pow x 2)) 2/3)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/45 (* -2/315 (pow x 2)))) 2/3)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))) |
(- 1 (cos (* 2 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (* 2 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (* 2 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (* 2 x))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(- 1 (cos (neg (* -2 x)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64)))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 33 859 to 2 135 computations (93.7% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 966 | 20 | 986 |
| Fresh | 3 | 7 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 973 | 29 | 1 002 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.1% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
| 97.6% | (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) | |
| 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| 2.5% | (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) | |
| 98.1% | (fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| ▶ | 98.0% | (fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
| ▶ | 98.1% | (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
| 16.5% | (fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) | |
| 98.1% | (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) | |
| 97.8% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) | |
| 97.6% | (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| ✓ | 6.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| 70.2% | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) | |
| 4.2% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 18.4% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 69.3% | (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) | |
| ▶ | 69.3% | (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
| 3.1% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) | |
| 69.0% | (-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) | |
| 69.3% | (-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) | |
| ✓ | 71.0% | (-.f64 (sin.f64 x) x) |
| 68.0% | (-.f64 x x) | |
| 14.6% | (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) | |
| 98.1% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) | |
| 97.8% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) | |
| 98.1% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) | |
| 97.6% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) | |
| ▶ | 6.5% | (neg.f64 x) |
Compiled 1 341 to 650 computations (51.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) |
| ✓ | cost-diff | 64 | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x x #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 1728 | (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 14 664× | accelerator-lowering-fma.f32 |
| 14 664× | accelerator-lowering-fma.f64 |
| 4 076× | *-lowering-*.f32 |
| 4 076× | *-lowering-*.f64 |
| 2 524× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 771 |
| 1 | 165 | 728 |
| 2 | 615 | 590 |
| 3 | 3358 | 590 |
| 4 | 4550 | 590 |
| 5 | 7287 | 590 |
| 0 | 8172 | 523 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
x |
(/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)))) |
(* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) |
(+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) |
(* x (* x (+ (* x (* x -1/5040)) 1/120))) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
(* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0))))) |
(* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))) |
(* x (* x (+ (* x x) 0))) |
(* x (+ (* x x) 0)) |
(+ (* x x) 0) |
0 |
-1/216 |
(- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))) |
(+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) |
(* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120))) |
1/36 |
(* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)) |
(* (+ (* x (* x -1/5040)) 1/120) -1/6) |
-1/6 |
(neg x) |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (- 0 x)) |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(- 0 x) |
0 |
(- (+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) x) |
(+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) |
(* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) |
(+ (* x x) 0) |
x |
0 |
(+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
-1/6 |
(+ (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6))) 0) |
x |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6)) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) |
(+ (* x x) 0) |
0 |
(* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120))) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
-1/36 |
(+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6) |
1/6 |
| Outputs |
|---|
(+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64))) |
x |
(/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64))) |
(* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) #s(literal 0 binary64)) |
(+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) |
(* x (* x (+ (* x (* x -1/5040)) 1/120))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
(* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0))))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x (+ (* x x) 0))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
-1/216 |
#s(literal -1/216 binary64) |
(- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/36 binary64)) |
(* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/30240 binary64) #s(literal -1/720 binary64)) #s(literal 0 binary64)) |
(* (+ (* x (* x -1/5040)) 1/120) -1/6) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/30240 binary64) #s(literal -1/720 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (- 0 x)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
(- (+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) x) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6))) 0) |
(fma.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
x |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6)) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)))) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) |
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/36 |
#s(literal -1/36 binary64) |
(+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 71.0% | (-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 71.0% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 98.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| 181.0ms | 209× | 1 | valid |
| 54.0ms | 33× | 2 | valid |
| 5.0ms | 14× | 0 | valid |
Compiled 731 to 53 computations (92.7% saved)
ival-mult: 65.0ms (37.1% of total)const: 39.0ms (22.3% of total)ival-add: 27.0ms (15.4% of total)adjust: 17.0ms (9.7% of total)ival-sub: 12.0ms (6.9% of total)ival-neg: 9.0ms (5.1% of total)ival-div: 6.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)))> |
#<alt (* (+ (* x (* x -1/5040)) 1/120) -1/6)> |
#<alt (+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0)> |
#<alt (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))> |
#<alt (neg x)> |
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) (- 0 x))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (* x -1/6)> |
#<alt (- 0 x)> |
#<alt (- (+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) x)> |
#<alt (+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x)> |
#<alt (+ (* x x) 0)> |
#<alt (* x (+ (* x (* x -1/5040)) 1/120))> |
#<alt (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6))> |
#<alt (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36)> |
#<alt (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))> |
#<alt (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))> |
#<alt (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6))> |
#<alt (+ (* x (* x -1/5040)) 1/120)> |
#<alt (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0))> |
| Outputs |
|---|
#<alt 1/36> |
#<alt (+ 1/36 (* 1/720 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2)))))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -1/302400 (pow x 2)))))))> |
#<alt (* 1/25401600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* 1/25401600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt -1/720> |
#<alt (- (* 1/30240 (pow x 2)) 1/720)> |
#<alt (- (* 1/30240 (pow x 2)) 1/720)> |
#<alt (- (* 1/30240 (pow x 2)) 1/720)> |
#<alt (* 1/30240 (pow x 2))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/30240 (pow x 2))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<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 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))> |
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* -1/5040 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt -1/36> |
#<alt (- (* 1/14400 (pow x 4)) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)> |
#<alt (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36)> |
#<alt (* 1/25401600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/25401600 (pow x 8))> |
#<alt (* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/14400 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/14400 (* -1/302400 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))> |
#<alt (* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400))))> |
#<alt (* 1/25401600 (pow x 6))> |
#<alt (* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* 1/25401600 (pow x 6))> |
#<alt (* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* 1/30240 (pow x 4))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/30240 (pow x 4))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/36 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))> |
#<alt (* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))> |
#<alt (* 1/25401600 (pow x 10))> |
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/25401600 (pow x 10))> |
#<alt (* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
| 1.0ms | x | @ | 0 | (+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
| 0.0ms | x | @ | inf | (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))) |
| 0.0ms | x | @ | -inf | (+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
| 0.0ms | x | @ | -inf | (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))) |
| 1× | batch-egg-rewrite |
| 4 182× | accelerator-lowering-fma.f32 |
| 4 182× | accelerator-lowering-fma.f64 |
| 3 464× | /-lowering-/.f32 |
| 3 464× | /-lowering-/.f64 |
| 3 124× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 497 |
| 1 | 352 | 244 |
| 2 | 3642 | 242 |
| 0 | 8794 | 213 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))) |
(* (+ (* x (* x -1/5040)) 1/120) -1/6) |
(+ (* x (/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6))))) 0) |
(/ (* (+ (* (* x (* x (+ (* x (* x -1/5040)) 1/120))) (* (+ (* x (* x -1/5040)) 1/120) (* (+ (* x (* x -1/5040)) 1/120) (* x (* x (+ (* x x) 0)))))) -1/216) (+ (* x x) 0)) (- (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) 1/36) (* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)))) |
(neg x) |
(+ (* (+ (* x (* x -1/6)) 1) x) (- 0 x)) |
(+ (* x (* x -1/6)) 1) |
(* x -1/6) |
(- 0 x) |
(- (+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) x) |
(+ (* (* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) x) x) |
(+ (* x x) 0) |
(* x (+ (* x (* x -1/5040)) 1/120)) |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) 1/6)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) |
(* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120))) |
(* (+ (* x x) 0) (* (+ (* x (* x -1/5040)) 1/120) -1/6)) |
(* (+ (* x x) 0) (+ (* x (* x (+ (* x (* x -1/5040)) 1/120))) -1/6)) |
(+ (* x (* x -1/5040)) 1/120) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* x (* x -1/5040)) 1/120)) (* x (+ (* x (* x -1/5040)) 1/120)))) -1/36) (+ (* x x) 0)) |
| Outputs |
|---|
(+.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) |
(+.f64 #s(literal 1/36 binary64) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) |
(+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))))) |
(+.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64))) |
(+.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)))))) (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/216 binary64))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64))))))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/1296 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) |
| 1× | egg-herbie |
| 11 142× | accelerator-lowering-fma.f32 |
| 11 142× | accelerator-lowering-fma.f64 |
| 3 910× | *-lowering-*.f32 |
| 3 910× | *-lowering-*.f64 |
| 2 940× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 2140 |
| 1 | 395 | 2134 |
| 2 | 1066 | 2134 |
| 3 | 3250 | 2134 |
| 4 | 6576 | 2134 |
| 0 | 8090 | 2041 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/36 |
(+ 1/36 (* 1/720 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -1/302400 (pow x 2))))))) |
(* 1/25401600 (pow x 8)) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2))))) |
(* 1/25401600 (pow x 8)) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2))))) |
-1/720 |
(- (* 1/30240 (pow x 2)) 1/720) |
(- (* 1/30240 (pow x 2)) 1/720) |
(- (* 1/30240 (pow x 2)) 1/720) |
(* 1/30240 (pow x 2)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* 1/30240 (pow x 2)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* -1/5040 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 3) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
-1/36 |
(- (* 1/14400 (pow x 4)) 1/36) |
(- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36) |
(- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36) |
(* 1/25401600 (pow x 8)) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/25401600 (pow x 8)) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/14400 (pow x 2)) |
(* (pow x 2) (+ 1/14400 (* -1/302400 (pow x 2)))) |
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) |
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) |
(* 1/25401600 (pow x 6)) |
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* 1/25401600 (pow x 6)) |
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720)) |
(* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720)) |
(* (pow x 2) (- (* 1/30240 (pow x 2)) 1/720)) |
(* 1/30240 (pow x 4)) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* 1/30240 (pow x 4)) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/36 (pow x 2)) |
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36)) |
(* 1/25401600 (pow x 10)) |
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/25401600 (pow x 10)) |
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
| Outputs |
|---|
1/36 |
#s(literal 1/36 binary64) |
(+ 1/36 (* 1/720 (pow x 2))) |
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* 11/302400 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 11/302400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* (pow x 2) (+ 11/302400 (* -1/302400 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/302400 binary64)) #s(literal 11/302400 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) |
(* 1/25401600 (pow x 8)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))))) |
(* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))))) |
(* 1/25401600 (pow x 8)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/25401600 (/ 11/302400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))))) |
(* (pow x 8) (- (+ 1/25401600 (+ (/ 11/302400 (pow x 4)) (* 1/720 (/ 1 (pow x 6))))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/720 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))))) |
-1/720 |
#s(literal -1/720 binary64) |
(- (* 1/30240 (pow x 2)) 1/720) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(- (* 1/30240 (pow x 2)) 1/720) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(- (* 1/30240 (pow x 2)) 1/720) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* 1/30240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/30240 binary64))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* 1/30240 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/30240 binary64))) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* (pow x 2) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/30240 binary64)) #s(literal -1/720 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/5040 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/30240 binary64) (/.f64 #s(literal -1/720 binary64) (*.f64 x x)))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/5040 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/36 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/36 binary64)) |
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) |
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -1/302400 binary64) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) |
(* (pow x 2) (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/25401600 binary64) #s(literal -1/302400 binary64)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) |
(* 1/25401600 (pow x 10)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64)))))) (pow.f64 x #s(literal 10 binary64))) |
(* 1/25401600 (pow x 10)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64))) |
(* (pow x 10) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(*.f64 (+.f64 #s(literal 1/25401600 binary64) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64)))))) (pow.f64 x #s(literal 10 binary64))) |
Compiled 175 643 to 6 913 computations (96.1% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 525 | 13 | 2 538 |
| Fresh | 8 | 14 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 537 | 30 | 2 567 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.1% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| 2.5% | (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) | |
| 98.1% | (fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| 52.2% | (fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) | |
| 98.1% | (fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) | |
| 97.8% | (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) | |
| ▶ | 16.5% | (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
| 97.8% | (fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) | |
| 97.6% | (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| ✓ | 6.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| 70.2% | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) | |
| 14.5% | (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) | |
| 48.2% | (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) | |
| 4.2% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 98.1% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 69.3% | (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) | |
| 69.3% | (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) | |
| 69.0% | (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) | |
| 3.1% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) | |
| ✓ | 71.0% | (-.f64 (sin.f64 x) x) |
| 68.0% | (-.f64 x x) | |
| ▶ | 98.1% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ▶ | 98.1% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 97.8% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) | |
| 97.6% | (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) | |
| 97.6% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 6.5% | (neg.f64 x) |
| ▶ | 5.0% | x |
Compiled 1 252 to 630 computations (49.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 2880 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| 26 018× | accelerator-lowering-fma.f32 |
| 26 018× | accelerator-lowering-fma.f64 |
| 4 650× | +-lowering-+.f64 |
| 4 650× | +-lowering-+.f32 |
| 2 032× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 279 |
| 1 | 137 | 263 |
| 2 | 518 | 261 |
| 3 | 1856 | 257 |
| 4 | 4830 | 257 |
| 0 | 8166 | 234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (* x x)) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(* x (* x x)) |
x |
(* x x) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
-1/6 |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(neg x) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120) |
(* x (+ (* x (* x 1/362880)) -1/5040)) |
(+ (* x (* x 1/362880)) -1/5040) |
(* x 1/362880) |
1/362880 |
-1/5040 |
1/120 |
-1/6 |
(+ (* x (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))))) 0) |
x |
(* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x)))))) |
(* (* x x) (* x (* x (* x x)))) |
(* x x) |
(* x (* x (* x x))) |
(* x (* x x)) |
(+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))) |
(+ -1/5040 (/ 1/120 (* x x))) |
-1/5040 |
(/ 1/120 (* x x)) |
1/120 |
(/ -1/6 (* x (* x (* x x)))) |
-1/6 |
0 |
| Outputs |
|---|
(* (* x (* x x)) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) |
(* x (+ (* x (* x 1/362880)) -1/5040)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) |
(+ (* x (* x 1/362880)) -1/5040) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* x (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))))) 0) |
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* (* x x) (* x (* x (* x x)))) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* x x) |
(*.f64 x x) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))) |
(+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+ -1/5040 (/ 1/120 (* x x))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(/ 1/120 (* x x)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
1/120 |
#s(literal 1/120 binary64) |
(/ -1/6 (* x (* x (* x x)))) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
| ✓ | accuracy | 57.8% | (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| ✓ | accuracy | 19.2% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 71.0% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| 147.0ms | 209× | 1 | valid |
| 39.0ms | 33× | 2 | valid |
| 4.0ms | 14× | 0 | valid |
Compiled 300 to 42 computations (86% saved)
ival-mult: 55.0ms (45.5% of total)ival-add: 23.0ms (19% of total)const: 20.0ms (16.5% of total)adjust: 13.0ms (10.8% of total)ival-div: 6.0ms (5% of total)ival-neg: 2.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)> |
#<alt (+ (* x (* x -1/5040)) 1/120)> |
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) (neg x))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (* x -1/6)> |
#<alt (neg x)> |
#<alt (* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)> |
#<alt (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)> |
#<alt (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))))> |
#<alt (+ (* x (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))))) 0)> |
#<alt (* (* x x) (* x (* x (* x x))))> |
#<alt (* (* x (* x x)) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))> |
#<alt (* x 1/362880)> |
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))> |
#<alt (* x (+ (* x (* x 1/362880)) -1/5040))> |
#<alt (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x)))))> |
#<alt (/ 1/120 (* x x))> |
#<alt (/ -1/6 (* x (* x (* x x))))> |
| Outputs |
|---|
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<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 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt 1/120> |
#<alt (+ 1/120 (* -1/5040 (pow x 2)))> |
#<alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))> |
#<alt (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))> |
#<alt (* 1/362880 (pow x 4))> |
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 4))> |
#<alt (* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (pow x 6)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1/5040 x)> |
#<alt (* x (- (* 1/362880 (pow x 2)) 1/5040))> |
#<alt (* x (- (* 1/362880 (pow x 2)) 1/5040))> |
#<alt (* x (- (* 1/362880 (pow x 2)) 1/5040))> |
#<alt (* 1/362880 (pow x 3))> |
#<alt (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))> |
#<alt -1/5040> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt -1/5040> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ 1/120 (pow x 2))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
#<alt (/ -1/6 (pow x 4))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
| 0.0ms | x | @ | inf | (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x)))))) |
| 0.0ms | x | @ | 0 | (* (* x x) (* x (* x (* x x)))) |
| 0.0ms | x | @ | inf | (* x (+ (* x (* x 1/362880)) -1/5040)) |
| 0.0ms | x | @ | -inf | (* x 1/362880) |
| 1× | batch-egg-rewrite |
| 4 444× | /-lowering-/.f32 |
| 4 444× | /-lowering-/.f64 |
| 4 440× | *-lowering-*.f32 |
| 4 440× | *-lowering-*.f64 |
| 4 166× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 238 |
| 1 | 274 | 218 |
| 2 | 2764 | 216 |
| 0 | 8233 | 191 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x x)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(+ (* x (* x -1/5040)) 1/120) |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(+ (* x (* x -1/6)) 1) |
(* x -1/6) |
(neg x) |
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120) |
(* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x)))))) |
(+ (* x (* (* (* x x) (* x (* x (* x x)))) (+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))))) 0) |
(* (* x x) (* x (* x (* x x)))) |
(* (* x (* x x)) (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)) |
(* x 1/362880) |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(* x (+ (* x (* x 1/362880)) -1/5040)) |
(+ (+ -1/5040 (/ 1/120 (* x x))) (/ -1/6 (* x (* x (* x x))))) |
(/ 1/120 (* x x)) |
(/ -1/6 (* x (* x (* x x)))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(neg.f64 (*.f64 x (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (pow.f64 (+.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/6 binary64)) |
(+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/5040 binary64)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/5040 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/5040 binary64) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) x #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64))) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) #s(literal -1/216 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) #s(literal -1/216 binary64)) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) #s(literal -1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) #s(literal -1/216 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal -1/36 binary64)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) #s(literal -1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64)))) |
| 1× | egg-herbie |
| 9 782× | accelerator-lowering-fma.f32 |
| 9 782× | accelerator-lowering-fma.f64 |
| 3 626× | *-lowering-*.f32 |
| 3 626× | *-lowering-*.f64 |
| 2 058× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1950 |
| 1 | 267 | 1950 |
| 2 | 780 | 1950 |
| 3 | 2324 | 1950 |
| 4 | 6169 | 1950 |
| 0 | 8364 | 1835 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 4)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/5040 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
1/120 |
(+ 1/120 (* -1/5040 (pow x 2))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 4)) |
(* (pow x 4) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(pow x 6) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/5040 x) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(* 1/362880 (pow x 3)) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(/ -1/6 (pow x 4)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
-1/5040 |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
-1/5040 |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ 1/120 (pow x 2)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
(/ -1/6 (pow x 4)) |
| Outputs |
|---|
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(* -1/5040 (pow x 4)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1/5040 (pow x 4)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
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1/120 |
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(pow x 6) |
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(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
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(pow x 6) |
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(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
(pow x 6) |
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(pow x 6) |
(pow.f64 x #s(literal 6 binary64)) |
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(* -1/5040 (pow x 7)) |
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(fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64))) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* x (- (* 1/362880 (pow x 2)) 1/5040)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* 1/362880 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* 1/362880 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/362880 binary64))) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 0 binary64)) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4)) |
(/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ 1/120 (pow x 2)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -1/6 (pow x 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
Compiled 78 797 to 3 731 computations (95.3% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 548 | 8 | 1 556 |
| Fresh | 7 | 15 | 22 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 556 | 30 | 1 586 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.1% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| 2.5% | (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) | |
| 98.1% | (fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| 52.2% | (fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) | |
| 97.8% | (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) | |
| 16.5% | (fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) | |
| 16.0% | (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) | |
| 16.5% | (fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) | |
| ✓ | 6.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| 70.2% | (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) | |
| 48.2% | (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) | |
| 4.2% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) | |
| 98.1% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) | |
| 6.6% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) | |
| 69.3% | (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) | |
| 69.3% | (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) | |
| 69.0% | (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) | |
| 3.1% | (-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) | |
| ✓ | 71.0% | (-.f64 (sin.f64 x) x) |
| 68.0% | (-.f64 x x) | |
| ✓ | 98.1% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| 97.6% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) | |
| 98.1% | (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) | |
| ✓ | 98.1% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 97.6% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| 97.8% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) | |
| 97.6% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| ✓ | 6.5% | (neg.f64 x) |
| ✓ | 5.0% | x |
Compiled 1 832 to 547 computations (70.1% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
2 calls:
| 33.0ms | x |
| 12.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.8% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
2 calls:
| 22.0ms | x |
| 13.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.8% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (+.f64 x (sin.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (+.f64 x (sin.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64)) |
2 calls:
| 16.0ms | x |
| 14.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.8% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(fma.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) |
| Outputs |
|---|
(-.f64 (sin.f64 x) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
2 calls:
| 18.0ms | x |
| 14.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 99.8% | 2 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(-.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) x) x) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -6 binary64))))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) x) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) #s(literal 0 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
2 calls:
| 12.0ms | x |
| 11.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | x |
| 98.1% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) x) |
(-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x x) x) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
2 calls:
| 7.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | x |
| 97.8% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
2 calls:
| 10.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
| Outputs |
|---|
(-.f64 x x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | (-.f64 (sin.f64 x) x) |
| 68.0% | 1 | x |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
| Outputs |
|---|
(neg.f64 x) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.5% | 1 | x |
| 6.5% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.0% | 1 | x |
| 5.0% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.028044947654568664 | -1.505483834384619e-14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.028044947654568664 | -1.505483834384619e-14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.028044947654568664 | -1.505483834384619e-14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.028044947654568664 | -1.505483834384619e-14 |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
| 464× | distribute-lft-neg-in_binary64 |
| 376× | neg-mul-1_binary64 |
| 276× | neg-sub0_binary64 |
| 260× | distribute-lft-neg-out_binary64 |
| 234× | cancel-sign-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 425 |
| 1 | 125 | 425 |
| 2 | 171 | 425 |
| 3 | 220 | 424 |
| 4 | 268 | 424 |
| 5 | 304 | 424 |
| 6 | 384 | 424 |
| 7 | 554 | 424 |
| 8 | 708 | 424 |
| 9 | 804 | 424 |
| 10 | 1077 | 424 |
| 11 | 1274 | 424 |
| 12 | 1473 | 424 |
| 13 | 1590 | 424 |
| 14 | 1644 | 424 |
| 15 | 1662 | 424 |
| 16 | 1680 | 424 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (-.f64 (sin.f64 x) x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (-.f64 (sin.f64 x) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(-.f64 x x) |
(neg.f64 x) |
x |
| Outputs |
|---|
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 (sin.f64 x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) #s(literal 1/2 binary64) (*.f64 x (-.f64 x (sin.f64 x))))) (fma.f64 x (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (-.f64 (sin.f64 x) x) (fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (-.f64 (sin.f64 x) x) (fma.f64 x (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal 1/36 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) #s(literal 0 binary64))) |
(if (<=.f64 (-.f64 (sin.f64 x) x) #s(literal -5764607523034235/288230376151711744 binary64)) (-.f64 (sin.f64 x) x) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) |
(-.f64 x x) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
x |
| 12 140× | accelerator-lowering-fma.f32 |
| 12 140× | accelerator-lowering-fma.f64 |
| 11 894× | accelerator-lowering-fma.f32 |
| 11 894× | accelerator-lowering-fma.f64 |
| 11 142× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1950 |
| 1 | 267 | 1950 |
| 2 | 780 | 1950 |
| 3 | 2324 | 1950 |
| 4 | 6169 | 1950 |
| 0 | 8364 | 1835 |
| 0 | 42 | 225 |
| 1 | 314 | 203 |
| 0 | 3015 | 181 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 949 | 152 |
| 4 | 2043 | 140 |
| 5 | 3944 | 140 |
| 0 | 8028 | 128 |
| 0 | 154 | 2140 |
| 1 | 395 | 2134 |
| 2 | 1066 | 2134 |
| 3 | 3250 | 2134 |
| 4 | 6576 | 2134 |
| 0 | 8090 | 2041 |
| 0 | 246 | 2228 |
| 1 | 706 | 2176 |
| 2 | 2036 | 2138 |
| 3 | 6108 | 2082 |
| 0 | 8469 | 1974 |
| 0 | 3 | 6 |
| 1 | 18 | 6 |
| 2 | 146 | 6 |
| 3 | 1494 | 6 |
| 0 | 8327 | 6 |
| 0 | 49 | 497 |
| 1 | 352 | 244 |
| 2 | 3642 | 242 |
| 0 | 8794 | 213 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 520 to 133 computations (74.4% saved)
Compiled 1 722 to 470 computations (72.7% saved)
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