
Time bar (total: 9.2s)
| 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)
| 507.0ms | 7 207× | 1 | valid |
| 82.0ms | 539× | 2 | valid |
| 23.0ms | 510× | 0 | valid |
ival-sin: 206.0ms (49.6% of total)ival-sub: 87.0ms (20.9% of total)adjust: 58.0ms (14% of total)ival-<: 40.0ms (9.6% of total)ival-and: 11.0ms (2.6% of total)exact: 11.0ms (2.6% of total)ival-assert: 3.0ms (0.7% 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 |
|---|---|---|---|---|---|
| 102 | 0 | - | 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 | 102 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 102 | 0 |
| - | 0 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 102 | 0 | 0 |
| - | 0 | 0 | 154 |
| number | freq |
|---|---|
| 0 | 154 |
| 1 | 102 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 450× | 1 | valid |
| 5.0ms | 34× | 2 | valid |
| 1.0ms | 28× | 0 | valid |
Compiled 28 to 16 computations (42.9% saved)
ival-sin: 14.0ms (57.4% of total)ival-sub: 6.0ms (24.6% of total)adjust: 4.0ms (16.4% 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 |
|---|---|---|
| ▶ | 65.2% | (-.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 | 65.2% | (-.f64 (sin.f64 x) x) |
| 15.0ms | 225× | 1 | valid |
| 2.0ms | 17× | 2 | valid |
| 1.0ms | 14× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 7.0ms (62.4% of total)adjust: 2.0ms (17.8% of total)ival-sub: 2.0ms (17.8% 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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 7 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 191 | 8 | 199 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (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)) |
| ▶ | 98.7% | (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)) |
| ▶ | 63.7% | (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) x) |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| ▶ | 62.2% | (-.f64 x x) |
| ▶ | 6.5% | (-.f64 #s(literal 0 binary64) x) |
| 98.6% | (*.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)))) |
Compiled 175 to 109 computations (37.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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 | -64 | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 x 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)) |
| 16 602× | accelerator-lowering-fma.f32 |
| 16 602× | accelerator-lowering-fma.f64 |
| 3 686× | *-lowering-*.f32 |
| 3 686× | *-lowering-*.f64 |
| 2 446× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 134 |
| 1 | 76 | 134 |
| 2 | 189 | 126 |
| 3 | 547 | 126 |
| 4 | 1386 | 126 |
| 5 | 2713 | 126 |
| 6 | 4852 | 126 |
| 7 | 7279 | 126 |
| 0 | 8153 | 115 |
| 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 x) |
x |
(+ (* (* x x) (* -1/6 x)) 0) |
(* x x) |
x |
(* -1/6 x) |
-1/6 |
0 |
(- (+ (* 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 |
| Outputs |
|---|
(+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
(fma.f64 x (fma.f64 x (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)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) |
(fma.f64 x (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)) #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 x) |
#s(literal 0 binary64) |
x |
(+ (* (* x x) (* -1/6 x)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* -1/6 x) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) x) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 0 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) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 65.3% | (-.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 x x) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 x x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) 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 | 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 | 99.5% | (*.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))) |
| 82.0ms | 225× | 1 | valid |
| 6.0ms | 9× | 3 | valid |
| 4.0ms | 8× | 2 | valid |
| 3.0ms | 14× | 0 | valid |
Compiled 135 to 28 computations (79.3% saved)
ival-mult: 28.0ms (39.2% of total)const: 17.0ms (23.8% of total)ival-add: 13.0ms (18.2% of total)adjust: 8.0ms (11.2% of total)ival-sub: 4.0ms (5.6% 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 (+ (* (* 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 x)> |
#<alt (+ (* (* x x) (* -1/6 x)) 0)> |
#<alt (* x x)> |
#<alt (* -1/6 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 x) (+ (* x (* x -1/5040)) 1/120)) -1/6))> |
| 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 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<alt 0> |
#<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 (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 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 (* -1/6 (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 (* -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))))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) 0) |
| 1.0ms | x | @ | -inf | (- (+ (* x (+ (* -1/6 (* x x)) 1)) 0) 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 | @ | 0 | (* -1/6 x) |
| 1× | batch-egg-rewrite |
| 4 230× | accelerator-lowering-fma.f32 |
| 4 230× | accelerator-lowering-fma.f64 |
| 4 030× | *-lowering-*.f32 |
| 4 030× | *-lowering-*.f64 |
| 3 856× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 110 |
| 1 | 180 | 102 |
| 2 | 1621 | 102 |
| 0 | 8327 | 91 |
| 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 x) |
(+ (* (* x x) (* -1/6 x)) 0) |
(* x x) |
(* -1/6 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 -1/5040)) 1/120)) -1/6)) |
| Outputs |
|---|
(+.f64 (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(-.f64 (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)))) |
(-.f64 (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (*.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)))) (*.f64 x (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64))) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)))) (/.f64 (fma.f64 (*.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)))) (*.f64 x (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64))))) |
(fma.f64 x (*.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)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #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))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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 (neg.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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 (*.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 (neg.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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 (neg.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)) (neg.f64 (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)))) |
(/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 (*.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 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 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))) |
(*.f64 (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)) x) |
| 1× | egg-herbie |
| 8 294× | accelerator-lowering-fma.f32 |
| 8 294× | accelerator-lowering-fma.f64 |
| 3 678× | *-lowering-*.f32 |
| 3 678× | *-lowering-*.f64 |
| 1 742× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1044 |
| 1 | 169 | 1026 |
| 2 | 475 | 1026 |
| 3 | 1553 | 1026 |
| 4 | 4683 | 1026 |
| 5 | 7715 | 1026 |
| 0 | 8069 | 967 |
| 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) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(* -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)) |
(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 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) |
(* -1/6 (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)) |
(* -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)))))) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 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 x (*.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)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.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)))) |
(* -1/5040 (pow x 7)) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 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 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.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 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(* -1/5040 (pow x 7)) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) #s(literal 0 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 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.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 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
-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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(* -1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 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))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
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 (*.f64 x x) #s(literal -1/5040 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 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 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* -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 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 (*.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 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.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))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(* (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))) (*.f64 (*.f64 x (*.f64 x 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 #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)))))) (*.f64 (*.f64 x (*.f64 x 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 #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)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(* (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))) (*.f64 (*.f64 x (*.f64 x 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 #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)))))) (*.f64 (*.f64 x (*.f64 x 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 #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)))))) (*.f64 (*.f64 x (*.f64 x 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) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(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 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
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 (* -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 (* -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)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1/6 (pow x 3)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/6 x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 0 binary64)) |
(* 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)) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (+.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)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (+.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)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* -1/5040 (pow x 5)) |
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (+.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)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(fma.f64 (+.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)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
Compiled 72 131 to 3 045 computations (95.8% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 394 | 17 | 1 411 |
| Fresh | 0 | 2 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 397 | 22 | 1 419 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) | |
| 19.4% | (fma.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 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) | |
| ▶ | 45.1% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| ▶ | 98.2% | (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)) |
| 98.7% | (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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)))) #s(literal 0 binary64)) | |
| ▶ | 98.7% | (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 binary64)) |
| 98.6% | (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (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)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))) #s(literal 0 binary64)) | |
| ✓ | 98.7% | (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)) |
| ▶ | 97.6% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
| 22.1% | (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) | |
| 14.8% | (/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal -1/216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))) | |
| 63.7% | (-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| 21.0% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)))) | |
| 97.6% | (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) | |
| 97.6% | (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) | |
| 98.6% | (*.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)))) | |
| 98.6% | (*.f64 x (*.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)))) | |
| 98.2% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) | |
| 6.5% | (neg.f64 x) | |
| ▶ | 62.2% | #s(literal 0 binary64) |
Compiled 933 to 419 computations (55.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 192 | (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
| ✓ | cost-diff | 192 | (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1152 | (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (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)) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | -64 | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) |
| ✓ | cost-diff | 192 | (-.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)))) |
| ✓ | cost-diff | 1920 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))) |
| 11 514× | accelerator-lowering-fma.f32 |
| 11 514× | accelerator-lowering-fma.f64 |
| 4 712× | *-lowering-*.f32 |
| 4 712× | *-lowering-*.f64 |
| 3 342× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 490 |
| 1 | 166 | 452 |
| 2 | 633 | 396 |
| 3 | 3153 | 394 |
| 0 | 8904 | 354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))))) 0) |
x |
(* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))) |
(/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))) |
(* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) |
(+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) |
(* x (+ (* x x) 0)) |
(+ (* x x) 0) |
0 |
(* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120)))) |
(* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(+ (* (+ (* x x) 0) -1/5040) 1/120) |
-1/5040 |
1/120 |
(* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
-1/216 |
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
(- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))) |
1/36 |
(* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6) |
-1/6 |
0 |
(+ (* x (* -1/6 (* x x))) 0) |
x |
(* -1/6 (* x x)) |
-1/6 |
(* x x) |
0 |
(+ (* (* x (* x x)) (+ (* x (* x 1/120)) -1/6)) 0) |
(* x (* x x)) |
x |
(* x x) |
(+ (* x (* x 1/120)) -1/6) |
(* x 1/120) |
1/120 |
-1/6 |
0 |
(+ (* (/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))) (* -1/6 x)) 0) |
(/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))) |
1 |
(/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0)) |
(- (+ (* x x) 0) 0) |
(+ (* x x) 0) |
x |
0 |
(- (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(* (+ (* x x) 0) (+ (* x x) 0)) |
(* -1/6 x) |
-1/6 |
| Outputs |
|---|
(+ (* x (* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))))) 0) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.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 (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)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 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)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) #s(literal 0 binary64)) |
x |
(* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.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 (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)) (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 0 binary64)) #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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 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)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) |
(/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.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 (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)) (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 0 binary64)) #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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 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)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) |
(* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.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 (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)) (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 0 binary64)) #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) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.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 (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)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/216 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) |
(* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120)))) |
(fma.f64 x (fma.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 (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)) (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 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(fma.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 (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 0 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) -1/5040) 1/120) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
(* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
(fma.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 0 binary64)) |
-1/216 |
#s(literal -1/216 binary64) |
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 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)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1/36 binary64)) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(fma.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)) (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 0 binary64)) |
(* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
(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)) |
(- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/720 binary64)) #s(literal 0 binary64)) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6) |
(*.f64 x (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/720 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(+ (* x (* -1/6 (* x x))) 0) |
(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)) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
0 |
#s(literal 0 binary64) |
(+ (* (* x (* x x)) (+ (* x (* x 1/120)) -1/6)) 0) |
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 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)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* x (* x 1/120)) -1/6) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(* x 1/120) |
(*.f64 x #s(literal 1/120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(+ (* (/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))) (* -1/6 x)) 0) |
(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)) |
(/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))) |
(fma.f64 x x #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(- (+ (* x x) 0) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
(+ (* x x) 0) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
0 |
#s(literal 0 binary64) |
(- (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* x x) 0) (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) |
| ✓ | accuracy | 42.3% | (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (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)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))))) |
| ✓ | accuracy | 99.4% | (*.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)) |
| 180.0ms | 256× | 0 | valid |
Compiled 679 to 49 computations (92.8% saved)
ival-mult: 71.0ms (45.7% of total)const: 66.0ms (42.5% of total)ival-add: 9.0ms (5.8% of total)ival-div: 5.0ms (3.2% of total)ival-sub: 3.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))> |
#<alt (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))> |
#<alt (* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))))> |
#<alt (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))> |
#<alt (+ (* x (* -1/6 (* x x))) 0)> |
#<alt (* -1/6 (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (* x (* x x)) (+ (* x (* x 1/120)) -1/6)) 0)> |
#<alt (* x 1/120)> |
#<alt (* x (* x x))> |
#<alt (/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0)))> |
#<alt (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))> |
#<alt (- (+ (* x x) 0) 0)> |
#<alt (- (* (+ (* x x) 0) (+ (* x x) 0)) 0)> |
#<alt (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)> |
#<alt (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x)> |
#<alt (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))> |
#<alt (+ (* x (* x 1/120)) -1/6)> |
#<alt (* -1/6 x)> |
#<alt (* (+ (* x x) 0) (+ (* 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 1/36> |
#<alt (+ 1/36 (* 1/720 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2)))))> |
#<alt (* -1/30240 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240))> |
#<alt (* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240))> |
#<alt (* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240))> |
#<alt (* -1/30240 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240))> |
#<alt (* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240))> |
#<alt (* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240))> |
#<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 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 (* -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 (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (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 (pow x 2)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 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)> |
#<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 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (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 (pow x 2)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* -1/720 x)> |
#<alt (* x (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* x (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* x (- (* 1/30240 (pow x 2)) 1/720))> |
#<alt (* 1/30240 (pow x 3))> |
#<alt (* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/30240 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)))> |
#<alt (* -1/216 x)> |
#<alt (* x (- (* 1/1728000 (pow x 6)) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216))> |
#<alt (* x (- (* (pow x 6) (+ 1/1728000 (* (pow x 2) (- (* 1/1016064000 (pow x 2)) 1/24192000)))) 1/216))> |
#<alt (* -1/128024064000 (pow x 13))> |
#<alt (* (pow x 13) (- (* 1/1016064000 (/ 1 (pow x 2))) 1/128024064000))> |
#<alt (* (pow x 13) (- (* 1/1016064000 (/ 1 (pow x 2))) (+ 1/128024064000 (/ 1/24192000 (pow x 4)))))> |
#<alt (* (pow x 13) (- (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/1728000 (/ 1 (pow x 6)))) (+ 1/128024064000 (/ 1/24192000 (pow x 4)))))> |
#<alt (* -1/128024064000 (pow x 13))> |
#<alt (* -1 (* (pow x 13) (- 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (- (+ 1/128024064000 (/ 1/24192000 (pow x 4))) (* 1/1016064000 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 13) (- (+ 1/128024064000 (/ 1/24192000 (pow x 4))) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/1728000 (/ 1 (pow x 6)))))))> |
#<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 -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))) |
| 1.0ms | x | @ | inf | (* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))) |
| 0.0ms | x | @ | -inf | (+ (* (* x (* x x)) (+ (* x (* x 1/120)) -1/6)) 0) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))) |
| 0.0ms | x | @ | 0 | (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))) |
| 1× | batch-egg-rewrite |
| 6 298× | accelerator-lowering-fma.f32 |
| 6 298× | accelerator-lowering-fma.f64 |
| 4 182× | *-lowering-*.f32 |
| 4 182× | *-lowering-*.f64 |
| 3 318× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 260 |
| 1 | 298 | 234 |
| 2 | 2832 | 234 |
| 0 | 9140 | 210 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))) |
(- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))) |
(* x (/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6)))))) |
(/ (* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) (- 1/36 (* x (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6))))) |
(+ (* x (* -1/6 (* x x))) 0) |
(* -1/6 (* x x)) |
(* x x) |
(+ (* (* x (* x x)) (+ (* x (* x 1/120)) -1/6)) 0) |
(* x 1/120) |
(* x (* x x)) |
(/ 1 (/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0))) |
(/ (- (+ (* x x) 0) 0) (- (* (+ (* x x) 0) (+ (* x x) 0)) 0)) |
(- (+ (* x x) 0) 0) |
(- (* (+ (* x x) 0) (+ (* x x) 0)) 0) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) -1/6) |
(* (+ (* (* x (+ (* x x) 0)) (* (* x (+ (* x x) 0)) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (* (+ (* (+ (* x x) 0) -1/5040) 1/120) (+ (* (+ (* x x) 0) -1/5040) 1/120))))) -1/216) x) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(+ (* x (* x 1/120)) -1/6) |
(* -1/6 x) |
(* (+ (* x x) 0) (+ (* x x) 0)) |
| Outputs |
|---|
(+.f64 (*.f64 (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64))) |
(+.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64)) (*.f64 (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) |
(+.f64 (fma.f64 (*.f64 x (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 x (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 (fma.f64 x x #s(literal 0 binary64)) (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 x (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) |
(-.f64 (fma.f64 (*.f64 x (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 x (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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x #s(literal -1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))))) (-.f64 (*.f64 (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64)) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 x (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 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (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) #s(literal 1/36 binary64))))) |
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(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) |
(*.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 2 binary64))) |
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
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(*.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 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)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(*.f64 (pow.f64 (/.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)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
| 1× | egg-herbie |
| 16 836× | accelerator-lowering-fma.f32 |
| 16 836× | accelerator-lowering-fma.f64 |
| 4 790× | *-lowering-*.f32 |
| 4 790× | *-lowering-*.f64 |
| 3 344× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 179 | 1650 |
| 1 | 445 | 1650 |
| 2 | 1194 | 1650 |
| 3 | 3187 | 1650 |
| 4 | 6861 | 1650 |
| 0 | 8042 | 1603 |
| 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))))) |
1/36 |
(+ 1/36 (* 1/720 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2))))) |
(* -1/30240 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(* -1/30240 (pow x 4)) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(* -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 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)))))) |
(* -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)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (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) |
(pow x 2) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 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) |
(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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (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) |
(pow x 2) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -1/720 x) |
(* x (- (* 1/30240 (pow x 2)) 1/720)) |
(* x (- (* 1/30240 (pow x 2)) 1/720)) |
(* x (- (* 1/30240 (pow x 2)) 1/720)) |
(* 1/30240 (pow x 3)) |
(* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/30240 (* 1/720 (/ 1 (pow x 2))))) |
(* 1/30240 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240))) |
(* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240))) |
(* -1 (* (pow x 3) (- (* 1/720 (/ 1 (pow x 2))) 1/30240))) |
(* -1/216 x) |
(* x (- (* 1/1728000 (pow x 6)) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* -1/24192000 (pow x 2)))) 1/216)) |
(* x (- (* (pow x 6) (+ 1/1728000 (* (pow x 2) (- (* 1/1016064000 (pow x 2)) 1/24192000)))) 1/216)) |
(* -1/128024064000 (pow x 13)) |
(* (pow x 13) (- (* 1/1016064000 (/ 1 (pow x 2))) 1/128024064000)) |
(* (pow x 13) (- (* 1/1016064000 (/ 1 (pow x 2))) (+ 1/128024064000 (/ 1/24192000 (pow x 4))))) |
(* (pow x 13) (- (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/1728000 (/ 1 (pow x 6)))) (+ 1/128024064000 (/ 1/24192000 (pow x 4))))) |
(* -1/128024064000 (pow x 13)) |
(* -1 (* (pow x 13) (- 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (- (+ 1/128024064000 (/ 1/24192000 (pow x 4))) (* 1/1016064000 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 13) (- (+ 1/128024064000 (/ 1/24192000 (pow x 4))) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/1728000 (/ 1 (pow x 6))))))) |
(* 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))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
| 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 (*.f64 x 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 x (*.f64 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 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.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 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 11/302400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))))) |
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 (* -1/30240 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) |
(+ 1/36 (* (pow x 2) (+ 1/720 (* -1/30240 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/30240 binary64)) #s(literal 1/720 binary64)) #s(literal 1/36 binary64)) |
(* -1/30240 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -1/30240 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/30240 binary64))) |
(* (pow x 4) (- (* 1/720 (/ 1 (pow x 2))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 4) (- (+ (/ 1/36 (pow x 4)) (* 1/720 (/ 1 (pow x 2)))) 1/30240)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/30240 binary64) (/.f64 #s(literal 1/720 binary64) (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* -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 (*.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 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 (* -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)))) |
(* -1/5040 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(* 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 x (*.f64 x (fma.f64 (*.f64 x 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 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 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)) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 binary64)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(fma.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)) #s(literal 0 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)))))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
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(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #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)) |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Compiled 83 913 to 4 665 computations (94.4% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 548 | 11 | 1 559 |
| Fresh | 4 | 10 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 555 | 26 | 1 581 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) | |
| ▶ | 40.6% | (fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ▶ | 97.6% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| 97.4% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| ✓ | 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| 45.1% | (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)) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) | |
| 98.2% | (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) #s(literal 0 binary64)) | |
| ▶ | 98.7% | (fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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)))) #s(literal 0 binary64)) |
| 98.6% | (fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (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)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))) #s(literal 0 binary64)) | |
| ✓ | 98.7% | (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)) |
| ✓ | 97.6% | (fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
| 22.1% | (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) | |
| 98.2% | (/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) | |
| 40.0% | (/.f64 (*.f64 (*.f64 x #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 x #s(literal 0 binary64))) | |
| 63.7% | (-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| 14.7% | (*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) | |
| 98.2% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) | |
| 98.2% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) | |
| 97.6% | (*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) | |
| 98.6% | (*.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)))) | |
| 98.6% | (*.f64 x (*.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)))) | |
| ▶ | 98.2% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| 97.6% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ▶ | 6.5% | (neg.f64 x) |
| ✓ | 62.2% | #s(literal 0 binary64) |
Compiled 912 to 435 computations (52.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1856 | (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | -64 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | -64 | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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)))) |
| ✓ | cost-diff | 64 | (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| 9 052× | accelerator-lowering-fma.f32 |
| 9 052× | accelerator-lowering-fma.f64 |
| 5 804× | *-lowering-*.f32 |
| 5 804× | *-lowering-*.f64 |
| 1 800× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 384 |
| 1 | 138 | 360 |
| 2 | 492 | 328 |
| 3 | 2578 | 326 |
| 4 | 4002 | 326 |
| 5 | 5021 | 326 |
| 6 | 6330 | 326 |
| 7 | 7953 | 326 |
| 0 | 8391 | 293 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)))) 0) |
x |
(* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))) |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) |
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) |
(+ (* x x) 0) |
0 |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
(+ (* (+ (* x x) 0) -1/5040) 1/120) |
-1/5040 |
1/120 |
-1/36 |
(+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6) |
1/6 |
(neg x) |
x |
(* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) |
x |
(* x (* x (+ (* x (* x 1/120)) -1/6))) |
(* x (+ (* x (* x 1/120)) -1/6)) |
(+ (* x (* x 1/120)) -1/6) |
(* x 1/120) |
1/120 |
-1/6 |
(+ (* (/ 1 (/ 1 (* x x))) (* -1/6 x)) 0) |
(/ 1 (/ 1 (* x x))) |
1 |
(/ 1 (* x x)) |
(* x x) |
x |
(* -1/6 x) |
-1/6 |
0 |
(+ (* (/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) (+ (* x (* x 1/120)) -1/6)) 0) |
(/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) |
(* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) |
(+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) |
x |
(+ (* x (+ (* x x) 0)) 0) |
(+ (* x x) 0) |
0 |
(+ (* x (* x 1/120)) -1/6) |
(* x 1/120) |
1/120 |
-1/6 |
| Outputs |
|---|
(+ (* x (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)))) 0) |
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #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) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64))) |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)) |
(/.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64))) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) |
(fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/36 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(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 (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) |
(+ (* (+ (* x x) 0) -1/5040) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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) 0) -1/5040) 1/120))) 1/6) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) |
(fma.f64 (fma.f64 x (fma.f64 x #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 1/120)) -1/6))) |
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(* x (+ (* x (* x 1/120)) -1/6)) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(+ (* x (* x 1/120)) -1/6) |
(fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(* x 1/120) |
(fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* (/ 1 (/ 1 (* x x))) (* -1/6 x)) 0) |
(fma.f64 #s(literal -1/6 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(/ 1 (/ 1 (* x x))) |
(fma.f64 x x #s(literal 0 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1 (* x x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) |
(* x x) |
(fma.f64 x x #s(literal 0 binary64)) |
x |
(* -1/6 x) |
(fma.f64 x #s(literal -1/6 binary64) #s(literal 0 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(+ (* (/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) (+ (* x (* x 1/120)) -1/6)) 0) |
(fma.f64 (fma.f64 x (fma.f64 x #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) 0)) 0)) 0) x) (+ (* x x) 0)) |
(fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) |
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) |
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
x |
(+ (* x (+ (* x x) 0)) 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) |
(+ (* x (* x 1/120)) -1/6) |
(fma.f64 x (fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) #s(literal -1/6 binary64)) |
(* x 1/120) |
(fma.f64 x #s(literal 1/120 binary64) #s(literal 0 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 42.8% | (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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)))) |
| ✓ | accuracy | 99.6% | (*.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 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) |
| ✓ | accuracy | 99.3% | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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) (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))) |
| 92.0ms | 256× | 0 | valid |
Compiled 405 to 45 computations (88.9% saved)
ival-mult: 29.0ms (39.5% of total)const: 22.0ms (29.9% of total)ival-add: 14.0ms (19.1% of total)ival-div: 6.0ms (8.2% of total)ival-neg: 1.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (+ (* x x) 0) -1/5040) 1/120)> |
#<alt (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)))> |
#<alt (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))> |
#<alt (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36)> |
#<alt (neg x)> |
#<alt (+ (* x (* x 1/120)) -1/6)> |
#<alt (* x (* x (* x (+ (* x (* x 1/120)) -1/6))))> |
#<alt (* x (* x (+ (* x (* x 1/120)) -1/6)))> |
#<alt (* x (+ (* x (* x 1/120)) -1/6))> |
#<alt (/ 1 (/ 1 (* x x)))> |
#<alt (+ (* (/ 1 (/ 1 (* x x))) (* -1/6 x)) 0)> |
#<alt (/ 1 (* x x))> |
#<alt (* x x)> |
#<alt (/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0))> |
#<alt (+ (* (/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) (+ (* x (* x 1/120)) -1/6)) 0)> |
#<alt (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0)> |
#<alt (+ (* x (+ (* x x) 0)) 0)> |
#<alt (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x)> |
#<alt (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))> |
#<alt (* x 1/120)> |
#<alt (* -1/6 x)> |
| Outputs |
|---|
#<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 (* -1/6 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 -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 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> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/120 (* 1/6 (/ 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) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 x)> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* x (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<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 (* -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 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ 1 (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 (pow x 2)> |
#<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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<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 (* -1/36 x)> |
#<alt (* x (- (* 1/14400 (pow x 4)) 1/36))> |
#<alt (* x (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36))> |
#<alt (* x (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36))> |
#<alt (* 1/25401600 (pow x 9))> |
#<alt (* (pow x 9) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))> |
#<alt (* 1/25401600 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) 1/25401600)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) (+ 1/25401600 (/ 1/14400 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/25401600 (/ 1/14400 (pow x 4))))))> |
#<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 (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 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 (* -1/6 x)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* (/ 1 (/ 1 (* x x))) (* -1/6 x)) 0) |
| 0.0ms | x | @ | inf | (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))) |
| 0.0ms | x | @ | 0 | (* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))) |
| 0.0ms | x | @ | -inf | (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) |
| 0.0ms | x | @ | inf | (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)) |
| 1× | batch-egg-rewrite |
| 3 972× | *-lowering-*.f32 |
| 3 972× | *-lowering-*.f64 |
| 3 656× | /-lowering-/.f32 |
| 3 656× | /-lowering-/.f64 |
| 3 416× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 234 |
| 1 | 277 | 162 |
| 2 | 2996 | 162 |
| 0 | 8511 | 147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ (* x x) 0) -1/5040) 1/120) |
(* x (/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6))) |
(/ (* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) (+ (* x (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) 1/6)) |
(+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) |
(neg x) |
(+ (* x (* x 1/120)) -1/6) |
(* x (* x (* x (+ (* x (* x 1/120)) -1/6)))) |
(* x (* x (+ (* x (* x 1/120)) -1/6))) |
(* x (+ (* x (* x 1/120)) -1/6)) |
(/ 1 (/ 1 (* x x))) |
(+ (* (/ 1 (/ 1 (* x x))) (* -1/6 x)) 0) |
(/ 1 (* x x)) |
(* x x) |
(/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) |
(+ (* (/ (* (+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) x) (+ (* x x) 0)) (+ (* x (* x 1/120)) -1/6)) 0) |
(+ (* x (+ (* x (+ (* x x) 0)) 0)) 0) |
(+ (* x (+ (* x x) 0)) 0) |
(* (+ (* (+ (* x x) 0) (* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)))) -1/36) x) |
(* (* x (+ (* (+ (* x x) 0) -1/5040) 1/120)) (* x (+ (* (+ (* x x) 0) -1/5040) 1/120))) |
(* x 1/120) |
(* -1/6 x) |
| Outputs |
|---|
(+.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 0 binary64)) #s(literal 1/120 binary64)) |
(+.f64 #s(literal 1/120 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 0 binary64))) |
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(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)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 0 binary64)) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 #s(literal -1/5040 binary64) x) x #s(literal 1/120 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 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)) #s(literal 1/25401600 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))))) |
(/.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 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)) #s(literal 1/25401600 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 0 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64)) (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)) #s(literal 1/14400 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 0 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))) (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/128024064000 binary64) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/604800 binary64))))) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #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)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) (-.f64 #s(literal 0 binary64) x)) x) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.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 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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)))) |
(pow.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 (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 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (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))))) |
(*.f64 x (*.f64 x (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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)) (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 x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 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)))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (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)))))) |
(*.f64 (*.f64 (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)))) x) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/6 binary64)) |
| 1× | egg-herbie |
| 10 038× | accelerator-lowering-fma.f32 |
| 10 038× | accelerator-lowering-fma.f64 |
| 4 236× | *-lowering-*.f32 |
| 4 236× | *-lowering-*.f64 |
| 1 826× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1734 |
| 1 | 309 | 1734 |
| 2 | 865 | 1734 |
| 3 | 2451 | 1734 |
| 4 | 6079 | 1734 |
| 0 | 8293 | 1671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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))))) |
(* -1/6 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)))))) |
-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 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 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* 1/120 (pow x 2)) 1/6) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1/6 x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(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)) |
(* -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 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (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) |
(pow x 2) |
(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) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(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) |
(* -1/36 x) |
(* x (- (* 1/14400 (pow x 4)) 1/36)) |
(* x (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(* x (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36)) |
(* 1/25401600 (pow x 9)) |
(* (pow x 9) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(* 1/25401600 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) 1/25401600))) |
(* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) (+ 1/25401600 (/ 1/14400 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/25401600 (/ 1/14400 (pow x 4)))))) |
(* 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))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 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) |
(* -1/6 x) |
| Outputs |
|---|
1/120 |
#s(literal 1/120 binary64) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(+ 1/120 (* -1/5040 (pow x 2))) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 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 #s(literal 1/120 binary64) (*.f64 x x) #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 #s(literal -1/5040 binary64) (*.f64 x 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 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) |
(* (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))) (*.f64 (*.f64 x (*.f64 x 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 (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.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))))) |
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(*.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)) |
(* -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 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* 1/120 (pow x 5)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.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 3) |
(*.f64 x (*.f64 x x)) |
(* -1/36 x) |
(*.f64 x #s(literal -1/36 binary64)) |
(* x (- (* 1/14400 (pow x 4)) 1/36)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64) #s(literal -1/36 binary64))) |
(* x (- (* (pow x 4) (+ 1/14400 (* -1/302400 (pow x 2)))) 1/36)) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/302400 binary64)) #s(literal 1/14400 binary64)) #s(literal -1/36 binary64))) |
(* x (- (* (pow x 4) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) 1/36)) |
(*.f64 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 9)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* (pow x 9) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* 1/25401600 (pow x 9)) |
(*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) 1/25401600))) |
(fma.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 9) (- (* 1/302400 (/ 1 (pow x 2))) (+ 1/25401600 (/ 1/14400 (pow x 4)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* -1 (* (pow x 9) (- (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/25401600 (/ 1/14400 (pow x 4)))))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) |
(* 1/14400 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/14400 binary64))) |
(* (pow x 2) (+ 1/14400 (* -1/302400 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/302400 binary64)) #s(literal 1/14400 binary64)))) |
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) |
(*.f64 (*.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))) |
(* (pow x 2) (+ 1/14400 (* (pow x 2) (- (* 1/25401600 (pow x 2)) 1/302400)))) |
(*.f64 (*.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))) |
(* 1/25401600 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/25401600 (pow x 6)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/25401600 binary64)) |
(* (pow x 6) (- 1/25401600 (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (- (+ 1/25401600 (/ 1/14400 (pow x 4))) (* 1/302400 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/25401600 binary64) (/.f64 #s(literal -1/302400 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* 1/120 x) |
(*.f64 #s(literal 1/120 binary64) x) |
(* -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)) |
Compiled 103 232 to 5 507 computations (94.7% saved)
24 alts after pruning (18 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 311 | 10 | 2 321 |
| Fresh | 8 | 8 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 2 323 | 24 | 2 347 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) x)) | |
| 97.4% | (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) | |
| 39.4% | (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) | |
| ✓ | 97.6% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
| 45.1% | (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)) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) | |
| 98.2% | (fma.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 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)))) #s(literal 0 binary64)) | |
| ✓ | 98.7% | (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)) |
| 40.0% | (/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) | |
| 40.0% | (/.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 #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) | |
| 97.6% | (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) | |
| 96.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal -1/6 binary64)))) | |
| 63.7% | (-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| 98.2% | (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) | |
| 97.6% | (*.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x) | |
| 97.6% | (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) | |
| 98.6% | (*.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)))) | |
| 98.6% | (*.f64 x (*.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)))) | |
| 98.2% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) | |
| 97.6% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| ✓ | 98.2% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| 97.6% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 6.5% | (neg.f64 x) |
| ✓ | 62.2% | #s(literal 0 binary64) |
Compiled 1 147 to 350 computations (69.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) 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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (*.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)))) |
(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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x #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 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 #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 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)) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 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)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal -1/216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #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 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) 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)))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (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)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))) #s(literal 0 binary64)) |
(fma.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 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 binary64)) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 binary64)) |
2 calls:
| 13.0ms | x |
| 11.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) 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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (*.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)))) |
(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)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x #s(literal -1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x #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 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 #s(literal -1/6 binary64))) (fma.f64 x x #s(literal 0 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 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)) #s(literal -1/6 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) |
(*.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)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 x #s(literal -1/36 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)))) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/14400 binary64) #s(literal -1/36 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal -1/216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 1/36 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #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 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) 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)))) #s(literal 0 binary64)) |
(-.f64 (sin.f64 x) x) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -1/216 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (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)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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)))) #s(literal 0 binary64)) |
(fma.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 x (*.f64 x (*.f64 x x)))))) #s(literal 0 binary64)) |
| Outputs |
|---|
(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)) |
2 calls:
| 11.0ms | x |
| 10.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) 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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 x (*.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)))) |
| Outputs |
|---|
(*.f64 x (*.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)))) |
2 calls:
| 6.0ms | x |
| 6.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | x |
| 98.6% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) 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 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 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:
| 7.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 1 | x |
| 98.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x) x) |
(*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/6 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) #s(literal 0 binary64)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x x) 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 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.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 |
|---|
#s(literal 0 binary64) |
(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 (*.f64 x x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
2 calls:
| 3.0ms | (-.f64 (sin.f64 x) x) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | x |
| 97.6% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
Total -36.4b remaining (-150.4%)
Threshold costs -36.4b (-150.4%)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 x x) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | x |
| 62.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 147 |
| 1 | 70 | 147 |
| 2 | 81 | 147 |
| 3 | 93 | 147 |
| 4 | 106 | 147 |
| 5 | 113 | 147 |
| 6 | 117 | 147 |
| 7 | 118 | 147 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 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 x (*.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)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(fma.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64)) x) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 x (/.f64 (*.f64 x (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 x (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)) (*.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 -1/216 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.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 (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))))))) #s(literal 0 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 x (*.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)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 0 binary64) |
| 16 836× | accelerator-lowering-fma.f32 |
| 16 836× | accelerator-lowering-fma.f64 |
| 12 140× | accelerator-lowering-fma.f32 |
| 12 140× | accelerator-lowering-fma.f64 |
| 8 294× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 110 |
| 1 | 180 | 102 |
| 2 | 1621 | 102 |
| 0 | 8327 | 91 |
| 0 | 74 | 1044 |
| 1 | 169 | 1026 |
| 2 | 475 | 1026 |
| 3 | 1553 | 1026 |
| 4 | 4683 | 1026 |
| 5 | 7715 | 1026 |
| 0 | 8069 | 967 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 949 | 152 |
| 4 | 2043 | 140 |
| 5 | 3944 | 140 |
| 0 | 8028 | 128 |
| 0 | 179 | 1650 |
| 1 | 445 | 1650 |
| 2 | 1194 | 1650 |
| 3 | 3187 | 1650 |
| 4 | 6861 | 1650 |
| 0 | 8042 | 1603 |
| 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 |
Compiled 224 to 92 computations (58.9% saved)
(negabs x)
Compiled 878 to 280 computations (68.1% saved)
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