
Time bar (total: 10.0s)
| 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)
| 530.0ms | 7 212× | 1 | valid |
| 88.0ms | 549× | 2 | valid |
| 25.0ms | 495× | 0 | valid |
ival-sin: 217.0ms (50.6% of total)ival-sub: 80.0ms (18.6% of total)adjust: 72.0ms (16.8% of total)ival-<: 37.0ms (8.6% of total)ival-and: 10.0ms (2.3% of total)exact: 10.0ms (2.3% of total)ival-assert: 3.0ms (0.7% of total)| 1× | 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 | 5 | 13 |
| 1 | 15 | 11 |
| 2 | 46 | 8 |
| 3 | 103 | 8 |
| 4 | 135 | 8 |
| 5 | 137 | 8 |
| 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) |
(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 |
| 33.0ms | 452× | 1 | valid |
| 3.0ms | 26× | 2 | valid |
| 1.0ms | 34× | 0 | valid |
Compiled 28 to 16 computations (42.9% saved)
ival-sin: 13.0ms (53.8% of total)adjust: 6.0ms (24.8% of total)ival-sub: 5.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 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) |
| 18.0ms | 226× | 1 | valid |
| 2.0ms | 13× | 2 | valid |
| 1.0ms | 17× | 0 | valid |
Compiled 9 to 5 computations (44.4% saved)
ival-sin: 9.0ms (65.6% of total)ival-sub: 3.0ms (21.9% of total)adjust: 2.0ms (14.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 | @ | -inf | (- (sin x) x) |
| 0.0ms | x | @ | 0 | (sin 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) (neg.f64 x)) |
(+.f64 (neg.f64 x) (sin.f64 x)) |
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (-.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (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 x (neg.f64 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) (neg.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 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.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 #s(literal 0 binary64) (neg.f64 (+.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))) (neg.f64 (+.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)))) |
(-.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))) (+.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 (pow.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 2 binary64)) (*.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 (pow.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 (pow.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 2 binary64)) (*.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)))))))))) |
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(/.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))) (neg.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 (/.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 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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 (neg.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) (neg.f64 (+.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)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (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 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(* (pow x 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) |
(neg.f64 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) |
(neg.f64 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 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (- (* 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)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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) |
(sin x) |
(sin.f64 x) |
Compiled 7 791 to 591 computations (92.4% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 13 | 198 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 185 | 14 | 199 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 3.4% | (fma.f64 (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))))) (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))))))) |
| 3.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 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)))) (*.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)))) #s(literal 1 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)))) (/.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))))) | |
| 3.4% | (/.f64 (-.f64 (*.f64 #s(literal 1 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)))) (*.f64 x (*.f64 x x)))) (*.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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 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)))) (pow.f64 (sin.f64 x) #s(literal 3 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)))) (*.f64 x (*.f64 x x))))) | |
| 65.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 64.6% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 64.2% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| ▶ | 63.6% | (-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| 61.9% | (-.f64 x x) | |
| ▶ | 99.2% | (*.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)))) |
| ▶ | 99.0% | (*.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))))) |
| 98.4% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) | |
| 97.4% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ▶ | 6.4% | (neg.f64 x) |
Compiled 673 to 267 computations (60.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sin.f64 x) |
| ✓ | cost-diff | 0 | (pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 128 | (-.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)))) |
| ✓ | cost-diff | 14656 | (fma.f64 (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))))) (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))))))) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.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 | (*.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))))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) |
| ✓ | cost-diff | 256 | (-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 13 888× | accelerator-lowering-fma.f32 |
| 13 888× | accelerator-lowering-fma.f64 |
| 3 392× | *-lowering-*.f32 |
| 3 392× | *-lowering-*.f64 |
| 2 522× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 371 |
| 1 | 153 | 361 |
| 2 | 455 | 358 |
| 3 | 1140 | 358 |
| 4 | 2712 | 344 |
| 5 | 5114 | 344 |
| 6 | 7408 | 344 |
| 0 | 8009 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120) |
(* x (+ (* x (* x 1/362880)) -1/5040)) |
(+ (* x (* x 1/362880)) -1/5040) |
(* x 1/362880) |
1/362880 |
-1/5040 |
1/120 |
-1/6 |
(neg x) |
x |
(- (+ (* (* x x) (* -1/6 x)) x) x) |
(+ (* (* x x) (* -1/6 x)) x) |
(* x x) |
x |
(* -1/6 x) |
-1/6 |
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) |
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 |
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
(pow (sin x) 3) |
(sin x) |
x |
3 |
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
1 |
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))) |
(+ (* x (+ x (sin x))) 1/2) |
(+ x (sin x)) |
1/2 |
(* 1/2 (cos (+ x x))) |
(cos (+ x x)) |
(+ x x) |
(neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) |
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
(* x (* x x)) |
(* x x) |
| Outputs |
|---|
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
x |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x (+ (* x (* x 1/362880)) -1/5040)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) |
(+ (* x (* x 1/362880)) -1/5040) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(neg x) |
(neg.f64 x) |
x |
(- (+ (* (* x x) (* -1/6 x)) x) x) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+ (* (* x x) (* -1/6 x)) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x x) |
(*.f64 x x) |
x |
(* -1/6 x) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
x |
(* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))) |
(*.f64 (*.f64 x 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 (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -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 x) (+ (* x (* x -1/5040)) 1/120)) -1/6) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x -1/5040)) 1/120) |
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(sin x) |
(sin.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))) |
(fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) |
(+ (* x (+ x (sin x))) 1/2) |
(fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) |
(+ x (sin x)) |
(+.f64 x (sin.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(* 1/2 (cos (+ x x))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(cos (+ x x)) |
(cos.f64 (+.f64 x x)) |
(+ x x) |
(+.f64 x x) |
(neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (/.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))))) |
| ✓ | accuracy | 50.3% | (-.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)))) |
| ✓ | accuracy | 41.7% | (/.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))))) |
| ✓ | accuracy | 6.3% | (fma.f64 (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))))) (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))))))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/5040 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 | 99.8% | (*.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))))) |
| ✓ | 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))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal -1/6 binary64) x) |
| ✓ | accuracy | 65.2% | (-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| 149.0ms | 92× | 2 | valid |
| 123.0ms | 154× | 1 | valid |
| 3.0ms | 10× | 0 | valid |
Compiled 352 to 49 computations (86.1% saved)
ival-mult: 58.0ms (25% of total)ival-cos: 45.0ms (19.4% of total)ival-sin: 37.0ms (15.9% of total)adjust: 27.0ms (11.6% of total)ival-add: 23.0ms (9.9% of total)const: 21.0ms (9% of total)ival-div: 6.0ms (2.6% of total)ival-pow: 6.0ms (2.6% of total)ival-sub: 5.0ms (2.2% of total)ival-neg: 4.0ms (1.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)))> |
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))> |
#<alt (* x x)> |
#<alt (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)> |
#<alt (neg x)> |
#<alt (- (+ (* (* x x) (* -1/6 x)) x) x)> |
#<alt (+ (* (* x x) (* -1/6 x)) x)> |
#<alt (* -1/6 x)> |
#<alt (* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))))> |
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))> |
#<alt (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6))> |
#<alt (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)> |
#<alt (+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))))> |
#<alt (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))> |
#<alt (pow (sin x) 3)> |
#<alt (sin x)> |
#<alt (* x 1/362880)> |
#<alt (* x -1/5040)> |
#<alt (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))> |
#<alt (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1/6 (pow x 3))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1/6 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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 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> |
#<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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (sin x) x) 1))> |
#<alt (* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))> |
#<alt (* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)) (/ (pow (sin x) 3) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2))))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow (sin x) 3) (+ (* -1 (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))) x)) (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2))))> |
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (sin x) x)))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))> |
#<alt (* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (sin x) x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x))))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (* -1/2 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))> |
#<alt (* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<alt (pow (sin x) 3)> |
#<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)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* -1/5040 x)> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* 1/18 (pow x 2))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))))> |
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))))> |
#<alt x> |
#<alt (* -1 (* x (- (/ (sin x) x) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1)))> |
#<alt (/ 1/3 (pow x 2))> |
#<alt (/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2))> |
#<alt (/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))> |
#<alt (/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))> |
#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
| 1.0ms | x | @ | inf | (+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
| 1.0ms | x | @ | -inf | (+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
| 1.0ms | x | @ | -inf | (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
| 1.0ms | x | @ | inf | (* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
| 1× | batch-egg-rewrite |
| 4 486× | *-lowering-*.f32 |
| 4 486× | *-lowering-*.f64 |
| 3 868× | accelerator-lowering-fma.f32 |
| 3 868× | accelerator-lowering-fma.f64 |
| 3 748× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 260 |
| 1 | 307 | 220 |
| 2 | 2662 | 220 |
| 0 | 8373 | 197 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6))) |
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6)) |
(* x x) |
(+ (* (* x x) (+ (* x (* x (+ (* x (* x 1/362880)) -1/5040))) 1/120)) -1/6) |
(neg x) |
(- (+ (* (* x x) (* -1/6 x)) x) x) |
(+ (* (* x x) (* -1/6 x)) x) |
(* -1/6 x) |
(* x (* x (* x (+ (* (* x x) (+ (* x (* x -1/5040)) 1/120)) -1/6)))) |
(* 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) |
(+ (* (pow (sin x) 3) (/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))))) (neg (/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))))) |
(- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x)))) |
(pow (sin x) 3) |
(sin x) |
(* x 1/362880) |
(* x -1/5040) |
(/ (* x (* x x)) (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
(/ 1 (- (+ (* x (+ x (sin x))) 1/2) (* 1/2 (cos (+ x x))))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
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(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64))) (*.f64 (sin.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sin.f64 x))) |
(sin.f64 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(*.f64 #s(literal 1/362880 binary64) x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(*.f64 #s(literal -1/5040 binary64) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 x x) (/.f64 x (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) x) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))))) |
(pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 17 324× | accelerator-lowering-fma.f32 |
| 17 324× | accelerator-lowering-fma.f64 |
| 5 540× | +-lowering-+.f64 |
| 5 540× | +-lowering-+.f32 |
| 4 606× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 2583 |
| 1 | 946 | 2528 |
| 2 | 2928 | 2463 |
| 0 | 8323 | 2347 |
| 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)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
(* -1/6 (pow x 3)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(* -1/6 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)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 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 |
(- (* 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))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* -1 x) |
(* x (- (/ (sin x) x) 1)) |
(* x (- (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))) |
(* x (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x))))) (pow x 3))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (+ (/ (sin x) x) (+ (/ (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2))))) (pow x 3)) (/ (pow (sin x) 3) (pow x 3))))))) (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (pow (sin x) 3) (+ (* -1 (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))))) x)) (* 1/2 (cos (neg (* -2 x))))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -1/2 (pow x 2)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* 19/360 (pow x 2)) 1/2)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 19/360 (* -17/5040 (pow x 2)))) 1/2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) |
(* (pow x 2) (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (sin x) x))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (sin x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (sin x)) (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x))) x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
(pow (sin x) 3) |
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) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* -1/5040 x) |
(* 1/3 x) |
(* x (+ 1/3 (* 1/18 (pow x 2)))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2)))))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2)))))))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1))) |
(/ 1/3 (pow x 2)) |
(/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2)) |
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2)) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 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 (*.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 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 binary64))) |
(* 1/362880 (pow x 8)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 8 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 |
#s(literal -1/6 binary64) |
(- (* 1/120 (pow x 2)) 1/6) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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)) |
(* 1/362880 (pow x 6)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/362880 (pow x 6)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
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(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (* -1/2 (pow x 2)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 13/120 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2)))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -41/3024 binary64) #s(literal 13/120 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
(pow (sin x) 3) |
(pow.f64 (sin.f64 x) #s(literal 3 binary64)) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) 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) |
(sin x) |
(sin.f64 x) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* -1/5040 x) |
(*.f64 x #s(literal -1/5040 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* 1/18 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 1/3 binary64))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 11/3240 binary64) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) |
(* x (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2)))))))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/27216 binary64) #s(literal 11/3240 binary64))) #s(literal 1/18 binary64)) #s(literal 1/3 binary64))) |
x |
(* x (+ 1 (* -1 (/ (sin x) x)))) |
(-.f64 x (*.f64 x (/.f64 (sin.f64 x) x))) |
(* x (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x))))) |
(*.f64 x (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x))))) |
x |
(* -1 (* x (- (/ (sin x) x) 1))) |
(-.f64 x (*.f64 x (/.f64 (sin.f64 x) x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- 1/2 (* 1/2 (cos (neg (* -2 x))))) x)) (/ (pow (sin x) 2) x)) (sin x)) x)) 1))) |
(fma.f64 x (/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)) x) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x)) (/ (* (sin x) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (+ (* -1 (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) (pow (sin x) 2))) x)) (sin x)) x)) 1))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))) x))) |
(/ 1/3 (pow x 2)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(/ (+ 1/3 (* 1/18 (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/18 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* 11/3240 (pow x 2))))) (pow x 2)) |
(/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 11/3240 binary64) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ (+ 1/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 11/3240 (* -1/27216 (pow x 2))))))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/27216 binary64) #s(literal 11/3240 binary64))) #s(literal 1/18 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (*.f64 x x)) |
(/ (- (+ 1 (* 1/2 (/ (cos (* 2 x)) (pow x 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (sin x) (- 1/2 (* 1/2 (cos (* 2 x)))))) (* (sin x) (- (* 1/2 (cos (* 2 x))) (+ 1/2 (* -1 (pow (sin x) 2)))))) (pow x 3))) (* 1/2 (/ (cos (* 2 x)) (pow x 2))))) (+ (* -1 (/ (pow (sin x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (sin x) x)))) (pow x 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (-.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (sin.f64 x) (+.f64 (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (sin x) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) x)) x)) (*.f64 x x)) |
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (sin x) (- (* 1/2 (cos (neg (* -2 x)))) (+ 1/2 (* -1 (pow (sin x) 2))))) x)) (+ (* 1/2 (cos (neg (* -2 x)))) (/ (* (sin x) (- 1/2 (* 1/2 (cos (neg (* -2 x)))))) x))) (+ 1/2 (* -1 (pow (sin x) 2)))) x)) (* -1 (sin x))) x))) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 x) x) (-.f64 (+.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal -2 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (fma.f64 (cos.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x)))) x)) (*.f64 x x)) |
Compiled 55 800 to 3 113 computations (94.4% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 137 | 20 | 1 157 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 142 | 29 | 1 171 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.6% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| 97.4% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) | |
| 3.4% | (fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) | |
| 3.4% | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) | |
| 21.0% | (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64))) | |
| 90.4% | (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)) | |
| 99.2% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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))) | |
| 65.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 64.6% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 64.2% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 63.6% | (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| ▶ | 61.9% | (-.f64 x x) |
| 90.4% | (*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) | |
| 99.0% | (*.f64 (*.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))) (*.f64 x x)) | |
| 98.4% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| ▶ | 99.2% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
| 99.0% | (*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))) | |
| 99.2% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) | |
| 97.4% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| ▶ | 99.0% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| 99.0% | (*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) 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))))) | |
| 99.0% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) | |
| ✓ | 99.0% | (*.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))))) |
| 98.4% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) | |
| ▶ | 30.3% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
| 97.3% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 97.4% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 6.4% | (neg.f64 x) |
Compiled 1 260 to 570 computations (54.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
| ✓ | cost-diff | 1600 | (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 256 | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| ✓ | cost-diff | 192 | (-.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
| 11 502× | accelerator-lowering-fma.f32 |
| 11 502× | accelerator-lowering-fma.f64 |
| 3 550× | *-lowering-*.f32 |
| 3 550× | *-lowering-*.f64 |
| 3 332× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 376 |
| 1 | 136 | 346 |
| 2 | 408 | 336 |
| 3 | 1338 | 330 |
| 4 | 4199 | 328 |
| 0 | 8865 | 301 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))) |
x |
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))) |
(* x x) |
-1/6 |
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) |
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)) |
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120) |
(+ (* x (* x 1/362880)) -1/5040) |
(* x 1/362880) |
1/362880 |
-1/5040 |
1/120 |
(- x x) |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(neg x) |
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))) |
x |
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))) |
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)) |
(+ (* x (* x -1/5040)) 1/120) |
(* x -1/5040) |
-1/5040 |
1/120 |
(* x (* x x)) |
(* x x) |
(* x -1/6) |
-1/6 |
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))) |
x |
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))) |
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))) |
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))) |
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) |
(/ 1/120 (* x x)) |
1/120 |
(* x x) |
(- -1/5040 (/ 1/6 (* (* x x) (* x x)))) |
-1/5040 |
(/ 1/6 (* (* x x) (* x x))) |
1/6 |
(* (* x x) (* x x)) |
| Outputs |
|---|
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
x |
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x x) |
(*.f64 x x) |
-1/6 |
#s(literal -1/6 binary64) |
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) |
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) |
(+ (* x (* x 1/362880)) -1/5040) |
(fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
(- x x) |
#s(literal 0 binary64) |
x |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(neg x) |
(neg.f64 x) |
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))) |
(*.f64 (*.f64 x 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)))) |
x |
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -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 (* x -1/5040)) 1/120) |
(fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))) |
x |
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))) |
(*.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))) |
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* 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)))))) |
(/ 1/120 (* x x)) |
(/.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
1/120 |
#s(literal 1/120 binary64) |
(* x x) |
(*.f64 x x) |
(- -1/5040 (/ 1/6 (* (* x x) (* x x)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(/ 1/6 (* (* x x) (* x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | accuracy | 55.5% | (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
| ✓ | accuracy | 31.6% | (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 65.3% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.7% | (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| 217.0ms | 226× | 1 | valid |
| 11.0ms | 13× | 2 | valid |
| 5.0ms | 17× | 0 | valid |
Compiled 398 to 45 computations (88.7% saved)
ival-mult: 125.0ms (63.6% of total)const: 27.0ms (13.7% of total)ival-add: 18.0ms (9.2% of total)adjust: 14.0ms (7.1% of total)ival-div: 6.0ms (3.1% of total)ival-sub: 3.0ms (1.5% of total)ival-neg: 2.0ms (1% 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) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))> |
#<alt (* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))))> |
#<alt (* x x)> |
#<alt (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))> |
#<alt (- x x)> |
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) (neg x))> |
#<alt (+ (* x (* x -1/6)) 1)> |
#<alt (* x -1/6)> |
#<alt (neg x)> |
#<alt (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))> |
#<alt (* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))))> |
#<alt (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))> |
#<alt (+ (* x (* x -1/5040)) 1/120)> |
#<alt (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))> |
#<alt (* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))))> |
#<alt (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))> |
#<alt (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))> |
#<alt (* x 1/362880)> |
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))> |
#<alt (* x (* x x))> |
#<alt (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x)))))> |
#<alt (* (* x x) (* x x))> |
| Outputs |
|---|
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<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 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1/6 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1/6 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 (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt 1/120> |
#<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> |
#<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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 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 (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<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 4))> |
#<alt (/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))> |
#<alt (/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4))> |
#<alt -1/5040> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt -1/5040> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) 1/5040)> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))> |
#<alt (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)> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
| 2.0ms | x | @ | -inf | (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)) |
| 1.0ms | x | @ | 0 | (+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 1× | batch-egg-rewrite |
| 5 782× | *-lowering-*.f32 |
| 5 782× | *-lowering-*.f64 |
| 4 874× | accelerator-lowering-fma.f32 |
| 4 874× | accelerator-lowering-fma.f64 |
| 3 650× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 291 |
| 1 | 274 | 265 |
| 2 | 2420 | 257 |
| 0 | 9378 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))))) |
(* x (+ (* (* x x) -1/6) (* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))))) |
(* x x) |
(* (* x x) (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)))) |
(- x x) |
(+ (* (+ (* x (* x -1/6)) 1) x) (neg x)) |
(+ (* x (* x -1/6)) 1) |
(* x -1/6) |
(neg x) |
(+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)) |
(* x (* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6)))) |
(* x (+ (* (+ (* x (* x -1/5040)) 1/120) (* x (* x x))) (* x -1/6))) |
(+ (* x (* x -1/5040)) 1/120) |
(* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))) |
(* x (* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))))) |
(* x (* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x))))) |
(* x (* (+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) (* (* x x) (* x x)))) |
(* x 1/362880) |
(* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) |
(* x (* x x)) |
(+ (/ 1/120 (* x x)) (- -1/5040 (/ 1/6 (* (* x x) (* x x))))) |
(* (* x x) (* x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (neg.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x (*.f64 x x))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (neg.f64 x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x)) |
(*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)) |
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x x)) |
| 1× | egg-herbie |
| 10 856× | accelerator-lowering-fma.f32 |
| 10 856× | accelerator-lowering-fma.f64 |
| 4 054× | *-lowering-*.f32 |
| 4 054× | *-lowering-*.f64 |
| 1 754× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 2212 |
| 1 | 285 | 2212 |
| 2 | 803 | 2212 |
| 3 | 2371 | 2200 |
| 4 | 6352 | 2188 |
| 0 | 8257 | 2050 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
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)) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* -1/6 (pow x 2))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6)) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1/6 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1/6 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)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
1/120 |
(+ 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 |
(- (* 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))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 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)))))) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(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 4)) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
-1/5040 |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
-1/5040 |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(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 |
|---|
(* -1/6 (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 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 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))) |
(* 1/362880 (pow x 8)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* 1/362880 (pow x 8)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.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 (*.f64 x 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 9 binary64))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 9 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) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* -1/5040 (pow x 2)))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))) |
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (*.f64 x x) (*.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)))) |
(* (pow x 4) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(*.f64 (*.f64 x x) (*.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)))) |
(* 1/362880 (pow x 8)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/362880 (pow x 8)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/362880 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/362880 binary64) (/.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (*.f64 x x)))) |
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)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow x 2))) |
(fma.f64 #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) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1/5040 (pow x 5)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))))) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1/6 (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 (*.f64 x 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 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1/5040 (pow x 7)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
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(- (* 1/120 (pow x 2)) 1/6) |
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(* -1/5040 (pow x 5)) |
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(* 1/362880 x) |
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(* 1/362880 x) |
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(* 1/362880 x) |
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(* 1/362880 x) |
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(* 1/362880 x) |
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(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) |
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(* 1/362880 (pow x 6)) |
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(* 1/362880 (pow x 6)) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(pow x 3) |
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(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 4)) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 4)) |
(/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(/ (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) (pow x 4)) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
-1/5040 |
#s(literal -1/5040 binary64) |
(- (* 1/120 (/ 1 (pow x 2))) 1/5040) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))) |
(+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(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 47 722 to 3 996 computations (91.6% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 200 | 8 | 1 208 |
| Fresh | 3 | 18 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 206 | 31 | 1 237 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| 97.4% | (fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) | |
| 3.4% | (fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) | |
| 3.4% | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) | |
| 21.0% | (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64))) | |
| 90.4% | (/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)) | |
| 65.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 64.6% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 64.2% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 63.6% | (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| ▶ | 90.4% | (*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
| 99.0% | (*.f64 (*.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))) (*.f64 x x)) | |
| 98.4% | (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) | |
| 30.3% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))))) | |
| ▶ | 98.5% | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 99.0% | (*.f64 x (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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)))) | |
| ▶ | 99.2% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
| 97.4% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| ✓ | 99.0% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| 99.2% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))))) | |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) | |
| 24.1% | (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))))) | |
| ▶ | 99.0% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
| ✓ | 99.0% | (*.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))))) |
| 29.7% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) | |
| 30.6% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/120 binary64)))))) | |
| 97.3% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 97.4% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 6.4% | (neg.f64 x) |
| ▶ | 61.9% | #s(literal 0 binary64) |
Compiled 1 211 to 583 computations (51.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | cost-diff | 64 | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) |
| ✓ | cost-diff | 3392 | (*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
| ✓ | cost-diff | 640 | (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) 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 | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
| 13 286× | accelerator-lowering-fma.f32 |
| 13 286× | accelerator-lowering-fma.f64 |
| 5 352× | *-lowering-*.f32 |
| 5 352× | *-lowering-*.f64 |
| 1 690× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 392 |
| 1 | 133 | 344 |
| 2 | 427 | 304 |
| 3 | 1383 | 302 |
| 4 | 4929 | 300 |
| 5 | 6088 | 300 |
| 6 | 6341 | 300 |
| 7 | 6609 | 300 |
| 8 | 7070 | 300 |
| 9 | 7781 | 300 |
| 0 | 8033 | 270 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))) |
x |
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)) |
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) |
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)) |
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120) |
(* x x) |
(+ (* x (* x 1/362880)) -1/5040) |
(* x 1/362880) |
1/362880 |
-1/5040 |
1/120 |
-1/6 |
0 |
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6))) |
(* x x) |
x |
(* x (+ (* x (* x 1/120)) -1/6)) |
(+ (* x (* x 1/120)) -1/6) |
(* x 1/120) |
1/120 |
-1/6 |
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))) |
x |
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))) |
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))) |
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)) |
(* (* x (* x -1/5040)) x) |
(* x (* x -1/5040)) |
(* x -1/5040) |
-1/5040 |
(+ (* x (* x 1/120)) -1/6) |
(* x 1/120) |
1/120 |
-1/6 |
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x))) |
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
(+ (* (+ (* x (* x -1/6)) 1) x) x) |
(+ (* x (* x -1/6)) 1) |
x |
(* x -1/6) |
-1/6 |
1 |
(+ (* x (* (* x x) -1/6)) 0) |
(* (* x x) -1/6) |
(* x x) |
0 |
(/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)) |
| Outputs |
|---|
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))) |
(*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
x |
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
(+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) |
(* x x) |
(*.f64 x x) |
(+ (* x (* x 1/362880)) -1/5040) |
(fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) |
(* x 1/362880) |
(*.f64 x #s(literal 1/362880 binary64)) |
1/362880 |
#s(literal 1/362880 binary64) |
-1/5040 |
#s(literal -1/5040 binary64) |
1/120 |
#s(literal 1/120 binary64) |
-1/6 |
#s(literal -1/6 binary64) |
0 |
#s(literal 0 binary64) |
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(* x (+ (* x (* x 1/120)) -1/6)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+ (* x (* x 1/120)) -1/6) |
(fma.f64 x (*.f64 x #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) |
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
x |
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) |
(* (* x (* x -1/5040)) x) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/5040 binary64)))) |
(* x (* x -1/5040)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* x -1/5040) |
(*.f64 x #s(literal -1/5040 binary64)) |
-1/5040 |
#s(literal -1/5040 binary64) |
(+ (* x (* x 1/120)) -1/6) |
(fma.f64 x (*.f64 x #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) |
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))) |
(+ (* (+ (* x (* x -1/6)) 1) x) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) |
(+ (* x (* x -1/6)) 1) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
x |
(* x -1/6) |
(*.f64 x #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* x (* (* x x) -1/6)) 0) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(* (* x x) -1/6) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* x x) |
(*.f64 x x) |
0 |
#s(literal 0 binary64) |
(/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)))) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/6 binary64)) |
| ✓ | accuracy | 92.8% | (*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 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 | 99.8% | (*.f64 (*.f64 x 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 | 99.9% | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 99.3% | (*.f64 x #s(literal 1/362880 binary64)) |
| 80.0ms | 256× | 0 | valid |
Compiled 334 to 44 computations (86.8% saved)
ival-mult: 39.0ms (63.4% of total)const: 11.0ms (17.9% of total)ival-add: 8.0ms (13% of total)ival-div: 2.0ms (3.2% 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 (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)))> |
#<alt (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))> |
#<alt (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6)> |
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))> |
#<alt (* (* x x) (* x (+ (* x (* x 1/120)) -1/6)))> |
#<alt (* x x)> |
#<alt (* x (+ (* x (* x 1/120)) -1/6))> |
#<alt (+ (* x (* x 1/120)) -1/6)> |
#<alt (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))> |
#<alt (* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))))> |
#<alt (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))> |
#<alt (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))> |
#<alt (* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x)))> |
#<alt (+ (* (+ (* x (* x -1/6)) 1) x) x)> |
#<alt (+ (* x (* (* x x) -1/6)) 0)> |
#<alt (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0))> |
#<alt (* x 1/362880)> |
#<alt (* x 1/120)> |
#<alt (* x (* x -1/5040))> |
#<alt (* x -1/6)> |
#<alt (* (* x x) -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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 9))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 8))> |
#<alt (* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt -1/6> |
#<alt (- (* 1/120 (pow x 2)) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)> |
#<alt (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/362880 (pow x 6))> |
#<alt (* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))))> |
#<alt (* 1/120 x)> |
#<alt (* x (+ 1/120 (* -1/5040 (pow x 2))))> |
#<alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040))))> |
#<alt (* 1/362880 (pow x 5))> |
#<alt (* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4))))))> |
#<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 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 (* 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 -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> |
#<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 (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 7))> |
#<alt (* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/5040 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))> |
#<alt (* -1/6 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 (* 2 x)> |
#<alt (* x (+ 2 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 2 (* -1/6 (pow x 2))))> |
#<alt (* x (+ 2 (* -1/6 (pow x 2))))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))> |
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))> |
#<alt (* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6))> |
#<alt (* -1/6 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/6 (* 2 (/ 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 (* -1/3 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))> |
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))> |
#<alt (* (pow x 4) (- (* 1/36 (pow x 2)) 1/3))> |
#<alt (* 1/36 (pow x 6))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/36 (pow x 6))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/362880 x)> |
#<alt (* 1/120 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 (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (pow x 2))> |
#<alt (* -1/5040 (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 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))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
| 0.0ms | x | @ | -inf | (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
| 0.0ms | x | @ | inf | (* (* x x) (* x (+ (* x (* x 1/120)) -1/6))) |
| 0.0ms | x | @ | 0 | (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
| 0.0ms | x | @ | -inf | (* x 1/120) |
| 1× | batch-egg-rewrite |
| 8 116× | accelerator-lowering-fma.f32 |
| 8 116× | accelerator-lowering-fma.f64 |
| 5 010× | *-lowering-*.f32 |
| 5 010× | *-lowering-*.f64 |
| 4 162× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 281 |
| 1 | 246 | 245 |
| 2 | 2042 | 227 |
| 0 | 8529 | 203 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x))) |
(* (+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) (* x x)) |
(+ (* x (* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120))) -1/6) |
(* x (+ (* (* x x) (+ (* x (* x 1/362880)) -1/5040)) 1/120)) |
(* (* x x) (* x (+ (* x (* x 1/120)) -1/6))) |
(* x x) |
(* x (+ (* x (* x 1/120)) -1/6)) |
(+ (* x (* x 1/120)) -1/6) |
(+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)) |
(* x (* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))))) |
(* x (* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6)))) |
(* x (+ (* (* (* x (* x -1/5040)) x) x) (+ (* x (* x 1/120)) -1/6))) |
(* (* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) (/ 1 (+ (* (+ (* x (* x -1/6)) 1) x) x))) |
(+ (* (+ (* x (* x -1/6)) 1) x) x) |
(+ (* x (* (* x x) -1/6)) 0) |
(* (+ (* (+ (* x (* x -1/6)) 1) x) x) (+ (* x (* (* x x) -1/6)) 0)) |
(* x 1/362880) |
(* x 1/120) |
(* x (* x -1/5040)) |
(* x -1/6) |
(* (* x x) -1/6) |
| Outputs |
|---|
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)))) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
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(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 x #s(literal -1/6 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) |
(*.f64 x #s(literal 1/362880 binary64)) |
(*.f64 #s(literal 1/362880 binary64) x) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/5040 binary64)) x) |
(*.f64 x #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) x) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 x (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) x) |
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
| 1× | egg-herbie |
| 14 464× | accelerator-lowering-fma.f32 |
| 14 464× | accelerator-lowering-fma.f64 |
| 4 782× | *-lowering-*.f32 |
| 4 782× | *-lowering-*.f64 |
| 3 572× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2092 |
| 1 | 377 | 2092 |
| 2 | 1086 | 2092 |
| 3 | 3269 | 2092 |
| 0 | 8226 | 2022 |
| 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)) |
(* 1/362880 (pow x 9)) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 9)) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 8)) |
(* (pow x 8) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 8) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
-1/6 |
(- (* 1/120 (pow x 2)) 1/6) |
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6) |
(- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/362880 (pow x 6)) |
(* (pow x 6) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(* 1/120 x) |
(* x (+ 1/120 (* -1/5040 (pow x 2)))) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* x (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) |
(* 1/362880 (pow x 5)) |
(* (pow x 5) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(* 1/362880 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(* -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 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) |
(* 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))) |
-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 |
(- (* 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))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 7)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 7)) |
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/5040 (pow x 6)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(* -1/6 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)) |
(* 2 x) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 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)) |
(* -1/3 (pow x 4)) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/362880 x) |
(* 1/120 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) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (pow x 2)) |
(* -1/5040 (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 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)) |
| Outputs |
|---|
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/362880 (pow x 9)) |
(*.f64 #s(literal 1/362880 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 6 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 #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 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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6)) |
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(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal -1/5040 binary64) (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 7 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 #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 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (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 (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* -1/5040 (pow x 6)) |
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (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 (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* x (- (* 1/120 (pow x 2)) 1/6)) |
(*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* x (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) |
(* -1/5040 (pow x 5)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) 1/5040)) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 5) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* -1/5040 (pow x 5)) |
(*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)) |
(* -1 (* (pow x 5) (- 1/5040 (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* -1 (* (pow x 5) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x 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 (*.f64 x x) (*.f64 x x)))))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(* x (+ 2 (* -1/6 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 2 (/ 1 (pow x 2))) 1/6)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/6 (* 2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/6 (pow x 3)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(* -1/3 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/3 binary64))) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/3 binary64))) |
(* (pow x 4) (- (* 1/36 (pow x 2)) 1/3)) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/3 binary64))) |
(* 1/36 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* 1/36 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/36 binary64)) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* (pow x 6) (- 1/36 (* 1/3 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/36 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/362880 x) |
(*.f64 x #s(literal 1/362880 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/5040 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/5040 binary64))) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 x) |
(*.f64 #s(literal -1/6 binary64) x) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
Compiled 79 962 to 4 399 computations (94.5% saved)
31 alts after pruning (22 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 868 | 9 | 1 877 |
| Fresh | 8 | 13 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 877 | 31 | 1 908 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| 56.1% | (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) | |
| 3.4% | (fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) | |
| 3.4% | (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) | |
| 98.4% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) | |
| 65.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) | |
| 64.6% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 64.2% | (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) | |
| 63.6% | (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) | |
| ✓ | 65.2% | (-.f64 (sin.f64 x) x) |
| 98.4% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x x))) | |
| 39.1% | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) | |
| 90.2% | (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) | |
| 99.0% | (*.f64 (*.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))) (*.f64 x x)) | |
| 30.3% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))))) | |
| 98.4% | (*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) | |
| 98.4% | (*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) | |
| ✓ | 98.5% | (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
| 97.4% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) | |
| ✓ | 99.2% | (*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
| 97.4% | (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) | |
| 99.0% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) | |
| ✓ | 99.0% | (*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| 99.2% | (*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))))) | |
| 98.4% | (*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) | |
| ✓ | 99.0% | (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
| ✓ | 99.0% | (*.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))))) |
| 97.3% | (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) | |
| 97.4% | (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 6.4% | (neg.f64 x) |
| ✓ | 61.9% | #s(literal 0 binary64) |
Compiled 1 815 to 529 computations (70.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.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))))) |
(*.f64 (*.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))) (*.f64 x x)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 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)))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64)) (-.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 0 binary64))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/120 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal -1/5040 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x)))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) #s(literal -1/216 binary64)) x) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64)) 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 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (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 (sin.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x 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 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))))) |
(fma.f64 (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))))) (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 (pow.f64 (sin.f64 x) #s(literal 3 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)))) (*.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)))) #s(literal 1 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)))) (/.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))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 (cos.f64 (+.f64 x x)) #s(literal -1/2 binary64) (fma.f64 x (+.f64 x (sin.f64 x)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 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)))) (*.f64 x (*.f64 x x)))) (*.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)))) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal 1 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)))) (pow.f64 (sin.f64 x) #s(literal 3 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)))) (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
2 calls:
| 35.0ms | x |
| 11.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.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))))) |
(*.f64 (*.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))) (*.f64 x x)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 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)))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x x))) |
| Outputs |
|---|
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.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))))) |
(*.f64 (*.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))) (*.f64 x x)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 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)))) |
| Outputs |
|---|
(*.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)))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.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))))) |
(*.f64 (*.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))) (*.f64 x x)) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/5040 binary64))) x) x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.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))) (*.f64 x x)) |
2 calls:
| 35.0ms | x |
| 5.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
(*.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))))) |
| Outputs |
|---|
(*.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))))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | x |
| 99.0% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.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))) |
(-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) x) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) |
(-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x) x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x) x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)) x (neg.f64 x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
2 calls:
| 4.0ms | x |
| 3.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
Total -36.2b remaining (-148.6%)
Threshold costs -36.2b (-148.6%)
| Inputs |
|---|
#s(literal 0 binary64) |
(neg.f64 x) |
(-.f64 x x) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (sin.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 1 | x |
| 61.9% | 1 | (-.f64 (sin.f64 x) x) |
Compiled 7 to 4 computations (42.9% saved)
| 1× | egg-herbie |
| 48× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 143 |
| 1 | 64 | 143 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.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))) (*.f64 x x)) |
(*.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))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))))))) |
(*.f64 x (*.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64))) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (*.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))) (*.f64 x x)) |
(*.f64 (*.f64 x 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)))) |
(*.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))))) |
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 0 binary64) |
| 14 464× | accelerator-lowering-fma.f32 |
| 14 464× | accelerator-lowering-fma.f64 |
| 12 140× | accelerator-lowering-fma.f32 |
| 12 140× | accelerator-lowering-fma.f64 |
| 10 856× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 2092 |
| 1 | 377 | 2092 |
| 2 | 1086 | 2092 |
| 3 | 3269 | 2092 |
| 0 | 8226 | 2022 |
| 0 | 43 | 291 |
| 1 | 274 | 265 |
| 2 | 2420 | 257 |
| 0 | 9378 | 228 |
| 0 | 47 | 170 |
| 1 | 121 | 164 |
| 2 | 313 | 164 |
| 3 | 949 | 152 |
| 4 | 2043 | 140 |
| 5 | 3944 | 140 |
| 0 | 8028 | 128 |
| 0 | 47 | 260 |
| 1 | 307 | 220 |
| 2 | 2662 | 220 |
| 0 | 8373 | 197 |
| 0 | 118 | 2212 |
| 1 | 285 | 2212 |
| 2 | 803 | 2212 |
| 3 | 2371 | 2200 |
| 4 | 6352 | 2188 |
| 0 | 8257 | 2050 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 368 to 170 computations (53.8% saved)
(negabs x)
Compiled 516 to 214 computations (58.5% saved)
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