
Time bar (total: 18.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 5 computations (28.6% saved)
ival-log: 19.0ms (39.1% of total)ival-div: 15.0ms (30.9% of total)ival-sinh: 12.0ms (24.7% of total)const: 1.0ms (2.1% of total)backward-pass: 1.0ms (2.1% of total)| 2.1s | 5943× | 2 | valid |
| 2.1s | 7727× | 5 | exit |
| 329.0ms | 2002× | 1 | valid |
| 22.0ms | 311× | 0 | valid |
ival-log: 1.3s (48.2% of total)backward-pass: 651.0ms (23.5% of total)ival-sinh: 428.0ms (15.4% of total)ival-div: 340.0ms (12.3% of total)const: 18.0ms (0.6% of total)| 2× | egg-herbie |
| 2948× | sum3-define |
| 1890× | fnmadd-define |
| 1622× | fmsub-define |
| 1576× | fma-define |
| 1560× | fnmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 26 | 18 |
| 2 | 64 | 18 |
| 3 | 177 | 16 |
| 4 | 532 | 16 |
| 5 | 1670 | 16 |
| 6 | 3814 | 16 |
| 7 | 6287 | 16 |
| 0 | 4 | 5 |
| 1 | 10 | 5 |
| 2 | 23 | 5 |
| 3 | 50 | 5 |
| 4 | 94 | 5 |
| 5 | 192 | 5 |
| 6 | 430 | 5 |
| 7 | 889 | 5 |
| 8 | 2240 | 5 |
| 9 | 4650 | 5 |
| 10 | 5755 | 5 |
| 11 | 6231 | 5 |
| 12 | 6435 | 5 |
| 13 | 6989 | 5 |
| 14 | 7369 | 5 |
| 15 | 7723 | 5 |
| 16 | 7755 | 5 |
| 17 | 7779 | 5 |
| 0 | 7779 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
(log (/ (sinh x) x)) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log (/ (sinh (neg x)) (neg x))) |
(log (/ (sinh x) x)) |
(neg (log (/ (sinh (neg x)) (neg x)))) |
(neg (log (/ (sinh x) x))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 141 | 0 | - | 0 | - | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 177.0ms | 384× | 2 | valid |
| 46.0ms | 112× | 1 | valid |
| 1.0ms | 16× | 0 | valid |
Compiled 34 to 14 computations (58.8% saved)
ival-log: 74.0ms (62% of total)ival-sinh: 20.0ms (16.8% of total)backward-pass: 13.0ms (10.9% of total)ival-div: 12.0ms (10.1% of total)const: 1.0ms (0.8% of total)Compiled 6 to 4 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (sinh.f64 x) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1890× | fnmadd-define |
| 1622× | fmsub-define |
| 1576× | fma-define |
| 1560× | fnmsub-define |
| 1344× | fmm-def |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 1 | 10 | 12 |
| 2 | 23 | 12 |
| 3 | 50 | 12 |
| 4 | 94 | 12 |
| 5 | 192 | 12 |
| 6 | 430 | 12 |
| 7 | 889 | 12 |
| 8 | 2240 | 12 |
| 9 | 4650 | 12 |
| 10 | 5755 | 12 |
| 11 | 6231 | 12 |
| 12 | 6435 | 12 |
| 13 | 6989 | 12 |
| 14 | 7369 | 12 |
| 15 | 7723 | 12 |
| 16 | 7755 | 12 |
| 17 | 7779 | 12 |
| 0 | 7779 | 12 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
(sinh x) |
x |
| Outputs |
|---|
(log (/ (sinh x) x)) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/ (sinh x) x) |
(/.f64 (sinh.f64 x) x) |
(sinh x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| ✓ | accuracy | 100.0% | (/.f64 (sinh.f64 x) x) |
| ✓ | accuracy | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 86.0ms | 192× | 2 | valid |
| 11.0ms | 56× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 14 to 5 computations (64.3% saved)
ival-log: 36.0ms (52.3% of total)ival-sinh: 20.0ms (29% of total)backward-pass: 7.0ms (10.2% of total)ival-div: 6.0ms (8.7% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log (/ (sinh x) x))> |
#<alt (/ (sinh x) x)> |
#<alt (sinh x)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | -inf | (log (/ (sinh x) x)) |
| 33.0ms | x | @ | inf | (log (/ (sinh x) x)) |
| 2.0ms | x | @ | 0 | (log (/ (sinh x) x)) |
| 0.0ms | x | @ | 0 | (/ (sinh x) x) |
| 0.0ms | x | @ | 0 | (sinh x) |
| 1× | batch-egg-rewrite |
| 3826× | *-lowering-*.f32 |
| 3826× | *-lowering-*.f64 |
| 3712× | /-lowering-/.f32 |
| 3712× | /-lowering-/.f64 |
| 1780× | frac-times |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 1 | 20 | 11 |
| 2 | 123 | 11 |
| 3 | 956 | 11 |
| 0 | 8631 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (/ (sinh x) x)) |
(/ (sinh x) x) |
(sinh x) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))) |
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (*.f64 x #s(literal -2 binary64)))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(-.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) (log.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x))) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(neg.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 (sinh.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x))))))) |
(/.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (sinh.f64 x) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)))))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (sinh.f64 x) x)) #s(literal 1 binary64))) |
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(/.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
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(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/4 binary64)) |
(*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
| 1× | egg-herbie |
| 2088× | *-lowering-*.f32 |
| 2088× | *-lowering-*.f64 |
| 1980× | sum4-define |
| 1912× | fma-lowering-fma.f32 |
| 1912× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 392 |
| 1 | 163 | 350 |
| 2 | 471 | 347 |
| 3 | 1530 | 347 |
| 4 | 3322 | 347 |
| 5 | 5867 | 347 |
| 6 | 7331 | 347 |
| 0 | 8086 | 347 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
Compiled 8530 to 1483 computations (82.6% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 407 | 7 | 414 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 407 | 8 | 415 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ▶ | 97.5% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| ▶ | 97.2% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ▶ | 97.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| ▶ | 50.2% | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| 50.6% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 50.4% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
Compiled 216 to 138 computations (36.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| 2972× | fma-define |
| 2160× | fma-lowering-fma.f32 |
| 2160× | fma-lowering-fma.f64 |
| 684× | sum3-define |
| 624× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 217 |
| 1 | 98 | 192 |
| 2 | 337 | 192 |
| 3 | 835 | 192 |
| 4 | 1827 | 192 |
| 5 | 3189 | 192 |
| 6 | 3392 | 192 |
| 7 | 3417 | 192 |
| 8 | 3417 | 192 |
| 9 | 3811 | 192 |
| 10 | 3811 | 192 |
| 0 | 3811 | 192 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))) |
x |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))) |
1/6 |
(* (* x x) (+ -1/180 (* (* x x) 1/2835))) |
(* x x) |
(+ -1/180 (* (* x x) 1/2835)) |
-1/180 |
(* (* x x) 1/2835) |
1/2835 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
x |
(* x (+ 1/6 (* (* x x) -1/180))) |
(+ 1/6 (* (* x x) -1/180)) |
1/6 |
(* (* x x) -1/180) |
(* x x) |
-1/180 |
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
(* x x) |
x |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
1/6 |
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))) |
-1/180 |
(* x (* x (+ 1/2835 (* (* x x) -1/37800)))) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(+ 1/2835 (* (* x x) -1/37800)) |
1/2835 |
(* (* x x) -1/37800) |
-1/37800 |
(log (+ (* 1/6 (* x x)) 1)) |
(+ (* 1/6 (* x x)) 1) |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
1 |
| Outputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
x |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -1/180 (* (* x x) 1/2835))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ -1/180 (* (* x x) 1/2835)) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x x) 1/2835) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
1/2835 |
#s(literal 1/2835 binary64) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
x |
(* x (+ 1/6 (* (* x x) -1/180))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
(+ 1/6 (* (* x x) -1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -1/180) |
(*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
(* x x) |
(*.f64 x x) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
-1/180 |
#s(literal -1/180 binary64) |
(* x (* x (+ 1/2835 (* (* x x) -1/37800)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(+ 1/2835 (* (* x x) -1/37800)) |
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
1/2835 |
#s(literal 1/2835 binary64) |
(* (* x x) -1/37800) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
-1/37800 |
#s(literal -1/37800 binary64) |
(log (+ (* 1/6 (* x x)) 1)) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ (* 1/6 (* x x)) 1) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(* 1/6 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
1 |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 52.6% | (log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ✓ | accuracy | 99.3% | (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
| 515.0ms | 192× | 2 | valid |
| 132.0ms | 56× | 1 | valid |
| 4.0ms | 8× | 0 | valid |
Compiled 263 to 29 computations (89% saved)
ival-mult: 91.0ms (31.3% of total)backward-pass: 67.0ms (23.1% of total)ival-add: 59.0ms (20.3% of total)...c/correct-round.rkt:119:19: 37.0ms (12.7% of total)ival-log: 37.0ms (12.7% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))> |
#<alt (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))> |
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))> |
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/2835)))> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (* x (* x (+ 1/6 (* (* x x) -1/180))))> |
#<alt (* x (+ 1/6 (* (* x x) -1/180)))> |
#<alt (+ 1/6 (* (* x x) -1/180))> |
#<alt (* (* x x) -1/180)> |
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))> |
#<alt (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))> |
#<alt (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))> |
#<alt (log (+ (* 1/6 (* x x)) 1))> |
#<alt (+ (* 1/6 (* x x)) 1)> |
#<alt (* (* x x) 1/2835)> |
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))> |
#<alt (* (* x x) -1/37800)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 6))> |
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/2835 (pow x 4))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))> |
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))> |
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<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) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* 1/2835 x)> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ (* 1/6 (* x x)) 1)) |
| 1.0ms | x | @ | inf | (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))) |
| 1.0ms | x | @ | inf | (* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
| 1.0ms | x | @ | inf | (log (+ (* 1/6 (* x x)) 1)) |
| 0.0ms | x | @ | 0 | (* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))) |
| 1× | batch-egg-rewrite |
| 4340× | *-lowering-*.f32 |
| 4340× | *-lowering-*.f64 |
| 3036× | /-lowering-/.f32 |
| 3036× | /-lowering-/.f64 |
| 2558× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 1 | 185 | 136 |
| 2 | 1649 | 136 |
| 0 | 9100 | 136 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))) |
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))) |
(* (* x x) (+ -1/180 (* (* x x) 1/2835))) |
(* 1/6 (* x x)) |
(* x x) |
(* x (* x (+ 1/6 (* (* x x) -1/180)))) |
(* x (+ 1/6 (* (* x x) -1/180))) |
(+ 1/6 (* (* x x) -1/180)) |
(* (* x x) -1/180) |
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))) |
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) |
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))) |
(log (+ (* 1/6 (* x x)) 1)) |
(+ (* 1/6 (* x x)) 1) |
(* (* x x) 1/2835) |
(* x (+ 1/2835 (* (* x x) -1/37800))) |
(* (* x x) -1/37800) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) x))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
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(-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(fma.f64 x #s(literal 1/2835 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/37800 binary64)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 #s(literal 1/2835 binary64) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) x (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x #s(literal -1/37800 binary64)) (*.f64 x x) (*.f64 x #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/37800 binary64) (*.f64 x #s(literal 1/2835 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))))) (+.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64)))) (+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal 1/37800 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) x) (+.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64))) x) (+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal 1/37800 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64))))) (neg.f64 (+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal 1/37800 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/22785532875 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/2835 binary64) (*.f64 #s(literal 1/37800 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) x) |
(*.f64 x (*.f64 x #s(literal -1/37800 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/37800 binary64)) x) |
| 1× | egg-herbie |
| 3974× | +-lowering-+.f64 |
| 3974× | +-lowering-+.f32 |
| 3204× | *-lowering-*.f32 |
| 3204× | *-lowering-*.f64 |
| 1630× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 1920 |
| 1 | 409 | 1622 |
| 2 | 1181 | 1602 |
| 3 | 3689 | 1602 |
| 0 | 8068 | 1602 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (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)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
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) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 (pow x 2)) |
(* 1/2835 x) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* -1/37800 (pow x 3)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
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(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))) |
(* -1/37800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
(* -1/37800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/72 binary64))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/72 binary64) (*.f64 (*.f64 x x) #s(literal 1/648 binary64)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/72 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/648 binary64) (*.f64 (*.f64 x x) #s(literal -1/5184 binary64)))))))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal 1/6 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(+.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x)))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -18 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 (*.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) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.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) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* 1/2835 x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* -1/37800 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* -1/37800 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))))) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
Compiled 24356 to 1970 computations (91.9% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 12 | 837 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 827 | 18 | 845 |
| Status | Accuracy | Program |
|---|---|---|
| 15.8% | (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) | |
| 97.0% | (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) | |
| ▶ | 96.9% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| ▶ | 97.5% | (+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 97.1% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) | |
| 23.7% | (*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| 97.1% | (*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) #s(literal 1/6 binary64))))))) | |
| ✓ | 97.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| 97.4% | (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) | |
| ▶ | 97.2% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 97.1% | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
| 97.2% | (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) | |
| ✓ | 97.5% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| ✓ | 97.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 97.2% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) | |
| ✓ | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.6% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| ▶ | 50.4% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
Compiled 1380 to 443 computations (67.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) |
| ✓ | cost-diff | 256 | (+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 3334× | *-lowering-*.f32 |
| 3334× | *-lowering-*.f64 |
| 1408× | +-lowering-+.f64 |
| 1408× | +-lowering-+.f32 |
| 1286× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 326 |
| 1 | 142 | 300 |
| 2 | 416 | 280 |
| 3 | 1160 | 276 |
| 4 | 2780 | 276 |
| 5 | 3675 | 276 |
| 6 | 5270 | 276 |
| 7 | 7124 | 276 |
| 0 | 8056 | 276 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6))) |
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) |
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) |
-1/180 |
(* (* x x) (+ 1/2835 (* (* x x) -1/37800))) |
(* x x) |
x |
(+ 1/2835 (* (* x x) -1/37800)) |
1/2835 |
(* (* x x) -1/37800) |
-1/37800 |
(* (* x x) (* x x)) |
(* x (* x 1/6)) |
(* x 1/6) |
1/6 |
(* (* x 1/6) x) |
(* x 1/6) |
x |
1/6 |
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))) |
x |
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))) |
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) |
(- 1/36 (* 1/32400 (* (* x x) (* x x)))) |
1/36 |
(* 1/32400 (* (* x x) (* x x))) |
1/32400 |
(* (* x x) (* x x)) |
(* x x) |
(+ 1/6 (* 1/180 (* x x))) |
1/6 |
(* 1/180 (* x x)) |
1/180 |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) |
(* x x) |
x |
(+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))) |
1/216 |
(* (* x (* x x)) (* -1/5832000 (* x (* x x)))) |
(* x (* x x)) |
(* -1/5832000 (* x (* x x))) |
-1/5832000 |
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))) |
1/36 |
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)) |
(* x (* x -1/180)) |
(* x -1/180) |
-1/180 |
(- (* x (* x -1/180)) 1/6) |
1/6 |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
1 |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x x) |
x |
(+ 1/6 (* (* x x) 1/120)) |
1/6 |
(* (* x x) 1/120) |
1/120 |
| Outputs |
|---|
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) |
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) |
(+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) |
-1/180 |
#s(literal -1/180 binary64) |
(* (* x x) (+ 1/2835 (* (* x x) -1/37800))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/2835 (* (* x x) -1/37800)) |
(+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))) |
1/2835 |
#s(literal 1/2835 binary64) |
(* (* x x) -1/37800) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
-1/37800 |
#s(literal -1/37800 binary64) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x 1/6)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x 1/6) x) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)))) #s(literal -1/36 binary64))) (+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
x |
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64))))) |
(- 1/36 (* 1/32400 (* (* x x) (* x x)))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/32400 binary64)))) |
1/36 |
#s(literal 1/36 binary64) |
(* 1/32400 (* (* x x) (* x x))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)))) |
1/32400 |
#s(literal 1/32400 binary64) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* 1/180 (* x x))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/180 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
1/180 |
#s(literal 1/180 binary64) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64))))))) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))) |
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64)))) |
1/216 |
#s(literal 1/216 binary64) |
(* (* x (* x x)) (* -1/5832000 (* x (* x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* -1/5832000 (* x (* x x))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5832000 binary64))) |
-1/5832000 |
#s(literal -1/5832000 binary64) |
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64))))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 1/32400 binary64)) #s(literal 1/1080 binary64)))) |
(* x (* x -1/180)) |
(*.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
(* x -1/180) |
(*.f64 #s(literal -1/180 binary64) x) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* x (* x -1/180)) 1/6) |
(+.f64 (*.f64 #s(literal -1/180 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(log1p.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 52.6% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) |
| ✓ | accuracy | 99.6% | (*.f64 x #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.5% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.4% | (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
| ✓ | accuracy | 99.4% | (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| 583.0ms | 192× | 2 | valid |
| 90.0ms | 56× | 1 | valid |
| 13.0ms | 8× | 0 | valid |
Compiled 426 to 47 computations (89% saved)
ival-mult: 119.0ms (33.4% of total)...c/correct-round.rkt:119:19: 85.0ms (23.8% of total)backward-pass: 55.0ms (15.4% of total)ival-add: 41.0ms (11.5% of total)ival-log: 37.0ms (10.4% of total)ival-sub: 10.0ms (2.8% of total)ival-div: 9.0ms (2.5% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6)))> |
#<alt (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x)))> |
#<alt (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800))))> |
#<alt (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))> |
#<alt (* (* x 1/6) x)> |
#<alt (* x 1/6)> |
#<alt (* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))))> |
#<alt (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))> |
#<alt (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x)> |
#<alt (- 1/36 (* 1/32400 (* (* x x) (* x x))))> |
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))))> |
#<alt (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))> |
#<alt (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))> |
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x))))))> |
#<alt (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))> |
#<alt (* x x)> |
#<alt (* (* x x) -1/37800)> |
#<alt (* (* x x) (* x x))> |
#<alt (* 1/180 (* x x))> |
#<alt (* x -1/180)> |
#<alt (* (* x x) 1/120)> |
#<alt (+ 1/6 (* (* x x) 1/120))> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt -1/180> |
#<alt (- (* 1/2835 (pow x 2)) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))> |
#<alt (* 1/2835 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* -1/37800 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 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 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))> |
#<alt (* 1/36 x)> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* -1/32400 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* -1/32400 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt 1/36> |
#<alt (+ 1/36 (* 1/1080 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))> |
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))))> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2))))))> |
#<alt (* 1/1080 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* 1/32400 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2)))))> |
#<alt (* 1/216 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))> |
#<alt (* -1/5832000 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* -1/5832000 (pow x 8))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))> |
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))> |
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))> |
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (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 (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (* -1/37800 (pow x 2))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (pow x 2)))> |
#<alt (+ 1/6 (* 1/120 (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 (* 1/120 (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)))))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | inf | (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))) |
| 1.0ms | x | @ | 0 | (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))) |
| 1.0ms | x | @ | 0 | (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
| 1.0ms | x | @ | inf | (* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))) |
| 1.0ms | x | @ | inf | (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) |
| 1× | batch-egg-rewrite |
| 4322× | *-lowering-*.f32 |
| 4322× | *-lowering-*.f64 |
| 2976× | /-lowering-/.f32 |
| 2976× | /-lowering-/.f64 |
| 1894× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 233 |
| 1 | 278 | 196 |
| 2 | 2503 | 188 |
| 0 | 9312 | 188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) (* x (* x 1/6))) |
(* (+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) (* (* x x) (* x x))) |
(+ -1/180 (* (* x x) (+ 1/2835 (* (* x x) -1/37800)))) |
(* (* x x) (+ 1/2835 (* (* x x) -1/37800))) |
(* (* x 1/6) x) |
(* x 1/6) |
(* x (/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x))))) |
(/ (* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) (+ 1/6 (* 1/180 (* x x)))) |
(* (- 1/36 (* 1/32400 (* (* x x) (* x x)))) x) |
(- 1/36 (* 1/32400 (* (* x x) (* x x)))) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) (+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)))) |
(+ 1/36 (* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6))) |
(* (* x (* x -1/180)) (- (* x (* x -1/180)) 1/6)) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* -1/5832000 (* x (* x x)))))) |
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x x) |
(* (* x x) -1/37800) |
(* (* x x) (* x x)) |
(* 1/180 (* x x)) |
(* x -1/180) |
(* (* x x) 1/120) |
(+ 1/6 (* (* x x) 1/120)) |
| Outputs |
|---|
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.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 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64))))))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 x x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 x (*.f64 x #s(literal -1/37800 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(*.f64 #s(literal -1/37800 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal -1/37800 binary64)) x) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x) |
(*.f64 #s(literal -1/180 binary64) x) |
(*.f64 x #s(literal -1/180 binary64)) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/120 binary64)) x) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x))))) |
| 1× | egg-herbie |
| 2676× | *-lowering-*.f32 |
| 2676× | *-lowering-*.f64 |
| 2408× | +-lowering-+.f64 |
| 2408× | +-lowering-+.f32 |
| 1550× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 2284 |
| 1 | 469 | 1951 |
| 2 | 1297 | 1933 |
| 3 | 3696 | 1867 |
| 0 | 8122 | 1867 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
-1/180 |
(- (* 1/2835 (pow x 2)) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/2835 (pow x 2)) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 4)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* 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)) |
(* 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)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 3)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2)))))) |
(* 1/36 x) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* -1/32400 (pow x 5)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* -1/32400 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
1/36 |
(+ 1/36 (* -1/32400 (pow x 4))) |
(+ 1/36 (* -1/32400 (pow x 4))) |
(+ 1/36 (* -1/32400 (pow x 4))) |
(* -1/32400 (pow x 4)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* -1/32400 (pow x 4)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2))))) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))))) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))))) |
(* (pow x 4) (+ 1/32400 (+ (/ 1/36 (pow x 4)) (* 1/1080 (/ 1 (pow x 2)))))) |
(* 1/1080 (pow x 2)) |
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))) |
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))) |
(* (pow x 2) (+ 1/1080 (* 1/32400 (pow x 2)))) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* 1/32400 (pow x 4)) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/32400 (* 1/1080 (/ 1 (pow x 2))))) |
(* 1/216 (pow x 2)) |
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* -1/5832000 (pow x 8)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* -1/5832000 (pow x 8)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 1/5832000)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180)))) |
(+ (log 1/120) (* -4 (log (/ 1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
(+ (log 1/120) (* -4 (log (/ -1 x)))) |
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4))) |
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(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) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(* -1/37800 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
1/6 |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+ 1/6 (* 1/120 (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))))) |
(* 1/120 (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))))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)) |
(*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 8)) |
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (*.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
-1/180 |
#s(literal -1/180 binary64) |
(- (* 1/2835 (pow x 2)) 1/180) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180) |
(+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) |
(* -1/37800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/37800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/2835 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2835 binary64)) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* -1/37800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* -1/37800 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))) |
(* 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)) |
(* 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)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
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1/36 |
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1 |
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(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 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) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(* -1/37800 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/37800 binary64)) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(pow x 4) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(+ 1/6 (* 1/120 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
Compiled 36203 to 2342 computations (93.5% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1021 | 8 | 1029 |
| Fresh | 5 | 4 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1029 | 18 | 1047 |
| Status | Accuracy | Program |
|---|---|---|
| 15.7% | (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| ▶ | 97.1% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
| 97.1% | (/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| 97.1% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) | |
| 95.4% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))))) | |
| ✓ | 97.5% | (+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ▶ | 97.1% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
| ▶ | 23.7% | (*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | 97.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ✓ | 97.2% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| ▶ | 97.4% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
| ✓ | 97.5% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| ✓ | 97.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 97.4% | (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| ▶ | 97.2% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.6% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 1.8% | (log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
Compiled 764 to 336 computations (56% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 256 | (*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/180 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
| 6624× | *-lowering-*.f32 |
| 6624× | *-lowering-*.f64 |
| 2142× | /-lowering-/.f32 |
| 2142× | /-lowering-/.f64 |
| 2132× | cube-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 197 |
| 1 | 87 | 170 |
| 2 | 201 | 170 |
| 3 | 395 | 170 |
| 4 | 634 | 170 |
| 5 | 847 | 170 |
| 6 | 1271 | 170 |
| 7 | 1468 | 170 |
| 8 | 2597 | 170 |
| 9 | 3015 | 170 |
| 10 | 3602 | 170 |
| 11 | 4259 | 170 |
| 12 | 4944 | 170 |
| 13 | 5581 | 170 |
| 14 | 5930 | 170 |
| 15 | 6110 | 170 |
| 16 | 6298 | 170 |
| 17 | 6497 | 170 |
| 18 | 7280 | 170 |
| 0 | 8423 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))) |
x |
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))) |
(* x 1/36) |
1/36 |
(+ 1/6 (* 1/180 (* x x))) |
1/6 |
(* 1/180 (* x x)) |
1/180 |
(* x x) |
(* (+ 1/6 (* x (* x -1/180))) (* x x)) |
(+ 1/6 (* x (* x -1/180))) |
1/6 |
(* x (* x -1/180)) |
x |
(* x -1/180) |
-1/180 |
(* x x) |
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x)))) |
(+ -1/180 (/ 1/6 (* x x))) |
-1/180 |
(/ 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(* x (* x (* x x))) |
(* x (* x x)) |
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180))) |
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) |
x |
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))) |
(+ 1/36 (* (* x (* x (* x x))) -1/32400)) |
1/36 |
(* (* x (* x (* x x))) -1/32400) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
-1/32400 |
(+ 1/6 (* (* x x) 1/180)) |
1/6 |
(* (* x x) 1/180) |
1/180 |
(log (+ 1 (* x (* x 1/6)))) |
(* x (* x 1/6)) |
x |
(* x 1/6) |
1/6 |
| Outputs |
|---|
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))) |
(/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
x |
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))) |
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(* x 1/36) |
(*.f64 x #s(literal 1/36 binary64)) |
1/36 |
#s(literal 1/36 binary64) |
(+ 1/6 (* 1/180 (* x x))) |
(+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* 1/180 (* x x)) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
1/180 |
#s(literal 1/180 binary64) |
(* x x) |
(*.f64 x x) |
(* (+ 1/6 (* x (* x -1/180))) (* x x)) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(+ 1/6 (* x (* x -1/180))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x -1/180)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
x |
(* x -1/180) |
(*.f64 x #s(literal -1/180 binary64)) |
-1/180 |
#s(literal -1/180 binary64) |
(* x x) |
(*.f64 x x) |
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x)))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(+ -1/180 (/ 1/6 (* x x))) |
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
-1/180 |
#s(literal -1/180 binary64) |
(/ 1/6 (* x x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) |
x |
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))) |
(*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))) |
(+ 1/36 (* (* x (* x (* x x))) -1/32400)) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x (* x (* x x))) -1/32400) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-1/32400 |
#s(literal -1/32400 binary64) |
(+ 1/6 (* (* x x) 1/180)) |
(+.f64 (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) 1/180) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
1/180 |
#s(literal 1/180 binary64) |
(log (+ 1 (* x (* x 1/6)))) |
(log1p.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
(* x (* x 1/6)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
x |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.4% | (*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal -1/180 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 99.8% | (*.f64 x #s(literal 1/36 binary64)) |
| 4.2s | 192× | 5 | exit |
| 79.0ms | 56× | 1 | valid |
| 6.0ms | 8× | 0 | valid |
Compiled 244 to 32 computations (86.9% saved)
backward-pass: 125.0ms (41.1% of total)ival-mult: 58.0ms (19.1% of total)...c/correct-round.rkt:119:19: 36.0ms (11.8% of total)compiled-spec: 32.0ms (10.5% of total)ival-log: 23.0ms (7.6% of total)ival-div: 15.0ms (4.9% of total)ival-add: 15.0ms (4.9% of total)const: 1.0ms (0.3% of total)| Inputs |
|---|
#<alt (* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))))> |
#<alt (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))> |
#<alt (* x 1/36)> |
#<alt (+ 1/6 (* 1/180 (* x x)))> |
#<alt (* (+ 1/6 (* x (* x -1/180))) (* x x))> |
#<alt (+ 1/6 (* x (* x -1/180)))> |
#<alt (* x (* x -1/180))> |
#<alt (* x -1/180)> |
#<alt (* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x))))> |
#<alt (+ -1/180 (/ 1/6 (* x x)))> |
#<alt (/ 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180)))> |
#<alt (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))))> |
#<alt (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))> |
#<alt (+ 1/36 (* (* x (* x (* x x))) -1/32400))> |
#<alt (log (+ 1 (* x (* x 1/6))))> |
#<alt (* x (* x 1/6))> |
#<alt (* x 1/6)> |
#<alt (* 1/180 (* x x))> |
#<alt (* x (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* (* x (* x (* x x))) -1/32400)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))> |
#<alt 5> |
#<alt (- 5 (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))> |
#<alt 5> |
#<alt (- 5 (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2))))> |
#<alt (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180))))> |
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180))))> |
#<alt (/ 5 x)> |
#<alt (/ (- 5 (* 150 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x)> |
#<alt (/ 5 x)> |
#<alt (* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x))> |
#<alt (* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x))> |
#<alt (* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x))> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt (* 1/36 x)> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/180 (pow x 2)))> |
#<alt (+ 1/6 (* 1/180 (pow x 2)))> |
#<alt (+ 1/6 (* 1/180 (pow x 2)))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt 1/6> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (+ 1/6 (* -1/180 (pow x 2)))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 (pow x 2))> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* -1/180 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2))> |
#<alt -1/180> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt -1/180> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt (- (* 1/6 (/ 1 (pow x 2))) 1/180)> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (/ 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* -1/180 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))> |
#<alt (* 1/36 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* -1/32400 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* -1/32400 (pow x 6))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* 1/36 x)> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))> |
#<alt (* -1/32400 (pow x 5))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* -1/32400 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))> |
#<alt 1/36> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (+ 1/36 (* -1/32400 (pow x 4)))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))> |
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))> |
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 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 (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (* 1/180 (pow x 2))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (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 (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
#<alt (* -1/32400 (pow x 4))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180))) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | 0 | (* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))) |
| 0.0ms | x | @ | inf | (* x 1/36) |
| 0.0ms | x | @ | -inf | (* x 1/36) |
| 1× | batch-egg-rewrite |
| 3654× | /-lowering-/.f32 |
| 3654× | /-lowering-/.f64 |
| 3418× | *-lowering-*.f32 |
| 3418× | *-lowering-*.f64 |
| 1888× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 159 |
| 1 | 190 | 134 |
| 2 | 1379 | 134 |
| 0 | 8436 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ (* x 1/36) (+ 1/6 (* 1/180 (* x x))))) |
(/ (* x 1/36) (+ 1/6 (* 1/180 (* x x)))) |
(* x 1/36) |
(+ 1/6 (* 1/180 (* x x))) |
(* (+ 1/6 (* x (* x -1/180))) (* x x)) |
(+ 1/6 (* x (* x -1/180))) |
(* x (* x -1/180)) |
(* x -1/180) |
(* (+ -1/180 (/ 1/6 (* x x))) (* x (* x (* x x)))) |
(+ -1/180 (/ 1/6 (* x x))) |
(/ 1/6 (* x x)) |
(* x x) |
(/ (* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) (+ 1/6 (* (* x x) 1/180))) |
(* x (* x (+ 1/36 (* (* x (* x (* x x))) -1/32400)))) |
(* x (+ 1/36 (* (* x (* x (* x x))) -1/32400))) |
(+ 1/36 (* (* x (* x (* x x))) -1/32400)) |
(log (+ 1 (* x (* x 1/6)))) |
(* x (* x 1/6)) |
(* x 1/6) |
(* 1/180 (* x x)) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* (* x (* x (* x x))) -1/32400) |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal -1/36 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 (*.f64 x #s(literal -1/36 binary64)) x))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
(*.f64 (*.f64 x x) (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 (*.f64 x #s(literal -1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(neg.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(/.f64 x (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) #s(literal -1/36 binary64))) |
(/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))))) |
(/.f64 (*.f64 x #s(literal -1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))))) |
(/.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 #s(literal 1/36 binary64) (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 x #s(literal 1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (*.f64 x #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (*.f64 x #s(literal 1/36 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/36 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))))) |
(*.f64 #s(literal -1/36 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/36 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/5832000 binary64))))) (/.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/180 binary64))) #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/36 binary64))) |
(neg.f64 (*.f64 x #s(literal -1/36 binary64))) |
(*.f64 x #s(literal 1/36 binary64)) |
(*.f64 #s(literal 1/36 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/36 binary64))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/1296 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/1296 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 #s(literal 1/1296 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))))) (*.f64 (/.f64 #s(literal 1/1296 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))) (/.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal -1/1166400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/34012224000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/1296 binary64) (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/1049760000 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) #s(literal -1/36 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(+.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (neg.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))))) (+.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))))) (*.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64)))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x #s(literal 1/180 binary64))) |
(*.f64 #s(literal 1/180 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(*.f64 (*.f64 x #s(literal 1/180 binary64)) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 x #s(literal 4 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 x x)) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/32400 binary64))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -1/32400 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64)) |
(*.f64 #s(literal -1/32400 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/32400 binary64))) x) |
(*.f64 (*.f64 #s(literal -1/32400 binary64) x) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -1/32400 binary64) (*.f64 x x)) (*.f64 x x)) |
| 1× | egg-herbie |
| 2252× | *-lowering-*.f32 |
| 2252× | *-lowering-*.f64 |
| 2188× | +-lowering-+.f64 |
| 2188× | +-lowering-+.f32 |
| 1902× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 143 | 1834 |
| 1 | 414 | 1537 |
| 2 | 1128 | 1529 |
| 3 | 3255 | 1529 |
| 4 | 7983 | 1529 |
| 0 | 8566 | 1529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
5 |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
5 |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
(/ 5 x) |
(/ (- 5 (* 150 (/ 1 (pow x 2)))) x) |
(/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x) |
(/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x) |
(/ 5 x) |
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x)) |
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x)) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
(* 1/36 x) |
1/6 |
(+ 1/6 (* 1/180 (pow x 2))) |
(+ 1/6 (* 1/180 (pow x 2))) |
(+ 1/6 (* 1/180 (pow x 2))) |
(* 1/180 (pow x 2)) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/180 (pow x 2)) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 (pow x 2)) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* -1/180 x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(/ 1/6 (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 2)) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
-1/180 |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(- (* 1/6 (/ 1 (pow x 2))) 1/180) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* -1/180 (pow x 4)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(* 1/36 (pow x 2)) |
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4)))) |
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4)))) |
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4)))) |
(* -1/32400 (pow x 6)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* -1/32400 (pow x 6)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* 1/36 x) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* x (+ 1/36 (* -1/32400 (pow x 4)))) |
(* -1/32400 (pow x 5)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* -1/32400 (pow x 5)) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4)))))) |
1/36 |
(+ 1/36 (* -1/32400 (pow x 4))) |
(+ 1/36 (* -1/32400 (pow x 4))) |
(+ 1/36 (* -1/32400 (pow x 4))) |
(* -1/32400 (pow x 4)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* -1/32400 (pow x 4)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72)))) |
(+ (log 1/6) (* -2 (log (/ 1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(+ (log 1/6) (* -2 (log (/ -1 x)))) |
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4))) |
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4))) |
(* 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)) |
(* 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) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(* 1/180 (pow x 2)) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(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) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
(* -1/32400 (pow x 4)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/5400 binary64))))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5400 binary64) (*.f64 (*.f64 x x) #s(literal -1/162000 binary64)))))))) |
5 |
#s(literal 5 binary64) |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
(+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) |
5 |
#s(literal 5 binary64) |
(- 5 (* 150 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) |
(- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) |
(- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) |
(+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/5400 (pow x 2)) 1/180)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/5400 binary64)))))) |
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5400 (* -1/162000 (pow x 2)))) 1/180)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/5400 binary64) (*.f64 (*.f64 x x) #s(literal -1/162000 binary64)))))))) |
(/ 5 x) |
(/.f64 #s(literal 5 binary64) x) |
(/ (- 5 (* 150 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) x) |
(/ (- (+ 5 (/ 4500 (pow x 4))) (* 150 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
(/ (- (+ 5 (/ 4500 (pow x 4))) (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) x) |
(/ 5 x) |
(/.f64 #s(literal 5 binary64) x) |
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) 5) x)) |
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* 150 (/ 1 (pow x 2))) (+ 5 (/ 4500 (pow x 4)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
(* -1 (/ (- (+ (* 150 (/ 1 (pow x 2))) (* 135000 (/ 1 (pow x 6)))) (+ 5 (/ 4500 (pow x 4)))) x)) |
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -150 binary64) (*.f64 x x))) (/.f64 #s(literal 4500 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal -135000 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x)))))) x) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
(* 1/36 x) |
(*.f64 x #s(literal 1/36 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(+ 1/6 (* 1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(+ 1/6 (* 1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* 1/180 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/180 binary64)) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* (pow x 2) (+ 1/180 (* 1/6 (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(+ 1/6 (* -1/180 (pow x 2))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/180 binary64))) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* -1/180 x) |
(*.f64 x #s(literal -1/180 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* -1/180 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -1/180 binary64))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))))) |
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180)) |
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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)) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
(* -1/32400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -1/32400 binary64)))) |
Compiled 25503 to 2334 computations (90.8% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1029 | 7 | 1036 |
| Fresh | 3 | 4 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1035 | 19 | 1054 |
| Status | Accuracy | Program |
|---|---|---|
| 15.7% | (/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) | |
| 97.3% | (/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) | |
| 97.4% | (/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) | |
| ✓ | 97.5% | (+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| 23.7% | (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| ✓ | 97.1% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
| 49.1% | (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x)) | |
| ✓ | 97.4% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
| ✓ | 97.2% | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
| 97.2% | (*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) | |
| 97.5% | (*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) | |
| ✓ | 97.5% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
| ✓ | 97.1% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| 97.4% | (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| ✓ | 97.2% | (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | 50.7% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 50.6% | (log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) | |
| 1.8% | (log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| 4.3% | #s(literal 5 binary64) |
Compiled 1460 to 350 computations (76% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x)) |
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/5832000 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))) |
(log1p.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(log.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(log.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(log.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x #s(literal -1/37800 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(*.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64))))) (*.f64 (*.f64 x x) (*.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))) #s(literal 1/6 binary64))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
3 calls:
| 18.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 9.0ms | x |
| 7.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
| 97.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 97.5% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/180 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64)))) (*.f64 x #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) |
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))) x) (*.f64 x x)) |
(*.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
1 calls:
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/36 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/180 binary64))))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal -1/180 binary64)))) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 5 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 5 binary64) |
| Outputs |
|---|
#s(literal 5 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.3% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 30× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 41 |
| 1 | 42 | 41 |
| 2 | 54 | 41 |
| 3 | 65 | 41 |
| 4 | 71 | 41 |
| 5 | 74 | 41 |
| 6 | 75 | 41 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 5 binary64) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/180 binary64) (*.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))) |
(*.f64 x (*.f64 (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))) x)) |
(*.f64 x (*.f64 x (/.f64 #s(literal -1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/180 binary64))))))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 5 binary64) |
| 4340× | *-lowering-*.f32 |
| 4340× | *-lowering-*.f64 |
| 3654× | /-lowering-/.f32 |
| 3654× | /-lowering-/.f64 |
| 3418× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 156 |
| 1 | 185 | 136 |
| 2 | 1649 | 136 |
| 0 | 9100 | 136 |
| 0 | 167 | 2284 |
| 1 | 469 | 1951 |
| 2 | 1297 | 1933 |
| 3 | 3696 | 1867 |
| 0 | 8122 | 1867 |
| 0 | 59 | 392 |
| 1 | 163 | 350 |
| 2 | 471 | 347 |
| 3 | 1530 | 347 |
| 4 | 3322 | 347 |
| 5 | 5867 | 347 |
| 6 | 7331 | 347 |
| 0 | 8086 | 347 |
| 0 | 33 | 159 |
| 1 | 190 | 134 |
| 2 | 1379 | 134 |
| 0 | 8436 | 134 |
| 0 | 143 | 1834 |
| 1 | 414 | 1537 |
| 2 | 1128 | 1529 |
| 3 | 3255 | 1529 |
| 4 | 7983 | 1529 |
| 0 | 8566 | 1529 |
| 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 148 to 97 computations (34.5% saved)
(abs x)
Compiled 266 to 156 computations (41.4% saved)
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