
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 10 to 8 computations (20% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1.2s | 3945× | 1 | valid |
| 249.0ms | 4311× | 0 | valid |
ival-exp: 763.0ms (67.6% of total)ival-div: 166.0ms (14.7% of total)ival-sub: 75.0ms (6.6% of total)ival-neg: 65.0ms (5.8% of total)backward-pass: 48.0ms (4.2% of total)const: 12.0ms (1.1% of total)| 2× | egg-herbie |
| 344× | fmsub-define |
| 342× | fnmsub-define |
| 340× | fnmadd-define |
| 318× | fnmadd-define |
| 286× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 40 | 24 |
| 2 | 92 | 24 |
| 3 | 201 | 24 |
| 4 | 476 | 24 |
| 5 | 964 | 24 |
| 6 | 1250 | 24 |
| 7 | 1349 | 24 |
| 0 | 7 | 8 |
| 1 | 18 | 8 |
| 2 | 36 | 8 |
| 3 | 66 | 8 |
| 4 | 119 | 8 |
| 5 | 209 | 8 |
| 6 | 361 | 8 |
| 7 | 621 | 8 |
| 8 | 988 | 8 |
| 9 | 1158 | 8 |
| 10 | 1176 | 8 |
| 0 | 1176 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2)) |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(fnmsub (exp x) -1/2 (/ 1/2 (exp x))) |
(/ (- (exp (neg x)) (exp (neg (neg x)))) 2) |
(fnmsub (exp x) 1/2 (/ -1/2 (exp x))) |
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) 2)) |
(fnmsub (exp x) -1/2 (/ 1/2 (exp x))) |
(negabs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 131 | 0 | - | 0 | - | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 81.0ms | 260× | 1 | valid |
| 19.0ms | 252× | 0 | valid |
Compiled 59 to 23 computations (61% saved)
ival-exp: 48.0ms (69.9% of total)ival-div: 6.0ms (8.7% of total)ival-neg: 5.0ms (7.3% of total)ival-sub: 5.0ms (7.3% of total)backward-pass: 4.0ms (5.8% of total)const: 1.0ms (1.5% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.4% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | -64 | (exp.f64 (neg.f64 x)) |
| ✓ | cost-diff | -64 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| ✓ | cost-diff | -64 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| 318× | fnmadd-define |
| 286× | fmsub-define |
| 284× | fnmsub-define |
| 276× | fma-lowering-fma.f32 |
| 276× | fma-lowering-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 1 | 18 | 23 |
| 2 | 36 | 23 |
| 3 | 66 | 23 |
| 4 | 119 | 23 |
| 5 | 209 | 23 |
| 6 | 361 | 23 |
| 7 | 621 | 23 |
| 8 | 988 | 23 |
| 9 | 1158 | 23 |
| 10 | 1176 | 23 |
| 0 | 1176 | 23 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(- (exp x) (exp (neg x))) |
(exp x) |
x |
(exp (neg x)) |
(neg x) |
2 |
| Outputs |
|---|
(/ (- (exp x) (exp (neg x))) 2) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp x) |
(exp.f64 x) |
x |
(exp (neg x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
2 |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 52.4% | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 57.0ms | 130× | 1 | valid |
| 8.0ms | 126× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 37.0ms (78.4% of total)ival-div: 4.0ms (8.5% of total)ival-neg: 2.0ms (4.2% of total)ival-sub: 2.0ms (4.2% of total)backward-pass: 2.0ms (4.2% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp x)> |
#<alt (/ (- (exp x) (exp (neg x))) 2)> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (exp (neg x))> |
#<alt (neg x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp 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) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (neg x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 1/2 (- (exp x) (exp (* -1 x))))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (neg x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt (- (exp x) (exp (* -1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* x (- (* 1/2 x) 1)))> |
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (neg x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (exp (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | 0 | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (/ (- (exp x) (exp (neg x))) 2) |
| 0.0ms | x | @ | inf | (neg x) |
| 0.0ms | x | @ | 0 | (exp x) |
| 1× | batch-egg-rewrite |
| 1610× | /-lowering-/.f32 |
| 1610× | /-lowering-/.f64 |
| 1604× | *-lowering-*.f32 |
| 1604× | *-lowering-*.f64 |
| 580× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 42 | 13 |
| 2 | 301 | 13 |
| 0 | 3272 | 13 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp x) |
(/ (- (exp x) (exp (neg x))) 2) |
(- (exp x) (exp (neg x))) |
(exp (neg x)) |
(neg x) |
| Outputs |
|---|
(exp.f64 x) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+.f64 (sinh.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))))) |
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) #s(literal 4 binary64))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64)))) |
(-.f64 (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (exp.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) #s(literal 4 binary64)) (sinh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (sinh.f64 x)))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #s(literal 4 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 #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 4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (neg.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 8 binary64))) (+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))))) |
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(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (+.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x))) |
(*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (cosh.f64 x) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x))) |
(*.f64 #s(literal 4 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64)))) (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (cosh.f64 x)) (sinh.f64 x)) (+.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal -3 binary64))))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 x #s(literal -2 binary64))))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) |
| 1× | egg-herbie |
| 2098× | +-lowering-+.f64 |
| 2098× | +-lowering-+.f32 |
| 2008× | *-lowering-*.f32 |
| 2008× | *-lowering-*.f64 |
| 1618× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 321 |
| 1 | 222 | 288 |
| 2 | 670 | 285 |
| 3 | 1946 | 285 |
| 4 | 2964 | 285 |
| 5 | 5512 | 285 |
| 6 | 6306 | 285 |
| 0 | 8211 | 285 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp 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) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (neg x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
(- (exp x) (exp (* -1 x))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (neg x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 1/2 (- (exp x) (exp (* -1 x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2)))))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (neg x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(- (exp x) (exp (* -1 x))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (neg x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp (* -1 x)) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
Compiled 5672 to 874 computations (84.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 6 | 320 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 315 | 6 | 321 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.2% | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
| 90.8% | (*.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)))))))) | |
| ▶ | 89.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
| ▶ | 82.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| ▶ | 100.0% | (sinh.f64 x) |
| ▶ | 53.5% | x |
Compiled 142 to 92 computations (35.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 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 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
| ✓ | 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 | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (sinh.f64 x) |
| 2760× | *-lowering-*.f32 |
| 2760× | *-lowering-*.f64 |
| 1504× | fma-define |
| 1164× | fma-lowering-fma.f32 |
| 1164× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 150 |
| 1 | 86 | 133 |
| 2 | 234 | 130 |
| 3 | 640 | 130 |
| 4 | 1076 | 130 |
| 5 | 1508 | 130 |
| 6 | 2347 | 130 |
| 7 | 5205 | 130 |
| 0 | 8203 | 130 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh x) |
x |
x |
(* x (+ 1 (* x (* x 1/6)))) |
x |
(+ 1 (* x (* x 1/6))) |
1 |
(* x (* x 1/6)) |
(* x 1/6) |
1/6 |
(* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))) |
x |
(+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120))))) |
1 |
(* x (* x (+ 1/6 (* (* x x) 1/120)))) |
(* x (+ 1/6 (* (* x x) 1/120))) |
(+ 1/6 (* (* x x) 1/120)) |
1/6 |
(* (* x x) 1/120) |
(* x x) |
1/120 |
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2) |
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) |
x |
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))) |
2 |
(* (* x x) (+ 1/3 (* x (* x 1/60)))) |
(* x x) |
(+ 1/3 (* x (* x 1/60))) |
1/3 |
(* x (* x 1/60)) |
(* x 1/60) |
1/60 |
| Outputs |
|---|
(sinh x) |
(sinh.f64 x) |
x |
x |
(* x (+ 1 (* x (* x 1/6)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
x |
(+ 1 (* x (* x 1/6))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (* x 1/6)) |
(*.f64 x (*.f64 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 (* x (* x (+ 1/6 (* (* x x) 1/120)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
x |
(+ 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/120 binary64))))) |
(* x (+ 1/6 (* (* x x) 1/120))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
(+ 1/6 (* (* x x) 1/120)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) 1/120) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* x x) |
(*.f64 x x) |
1/120 |
#s(literal 1/120 binary64) |
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
x |
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
2 |
#s(literal 2 binary64) |
(* (* x x) (+ 1/3 (* x (* x 1/60)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/3 (* x (* x 1/60))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x (* x 1/60)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* x 1/60) |
(*.f64 x #s(literal 1/60 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/60 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/60 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (sinh.f64 x) |
| 86.0ms | 256× | 0 | valid |
Compiled 178 to 27 computations (84.8% saved)
ival-mult: 22.0ms (43.2% of total)...c/correct-round.rkt:119:19: 15.0ms (29.5% of total)ival-add: 10.0ms (19.6% of total)ival-div: 2.0ms (3.9% of total)ival-sinh: 2.0ms (3.9% of total)const: 1.0ms (2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sinh x)> |
#<alt (* x (+ 1 (* x (* x 1/6))))> |
#<alt (+ 1 (* x (* x 1/6)))> |
#<alt (* x (* x 1/6))> |
#<alt (* x 1/6)> |
#<alt (* x (+ 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 (+ 1/6 (* (* x x) 1/120)))> |
#<alt (/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2)> |
#<alt (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))))> |
#<alt (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))> |
#<alt (* (* x x) (+ 1/3 (* x (* x 1/60))))> |
#<alt (* (* x x) 1/120)> |
#<alt (* x (* x 1/60))> |
#<alt (* x 1/60)> |
| Outputs |
|---|
#<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))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (/ 1 (pow x 2))))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (/ 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 (* 1/6 (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 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 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<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 (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt 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 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* 1/3 (pow x 2))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))> |
#<alt (* 1/60 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 1/60 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60)))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (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 (* 1/120 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
#<alt (* 1/60 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))) |
| 1.0ms | x | @ | -inf | (sinh x) |
| 1.0ms | x | @ | inf | (sinh x) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* x (* x 1/6)))) |
| 0.0ms | x | @ | inf | (* x (+ 1 (* x (* x (+ 1/6 (* (* x x) 1/120)))))) |
| 1× | batch-egg-rewrite |
| 3588× | *-lowering-*.f32 |
| 3588× | *-lowering-*.f64 |
| 3262× | /-lowering-/.f32 |
| 3262× | /-lowering-/.f64 |
| 1926× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 123 |
| 1 | 161 | 108 |
| 2 | 1318 | 106 |
| 0 | 8260 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sinh x) |
(* x (+ 1 (* x (* x 1/6)))) |
(+ 1 (* x (* x 1/6))) |
(* x (* x 1/6)) |
(* x 1/6) |
(* x (+ 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 (+ 1/6 (* (* x x) 1/120))) |
(/ (* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) 2) |
(* x (+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60)))))) |
(+ 2 (* (* x x) (+ 1/3 (* x (* x 1/60))))) |
(* (* x x) (+ 1/3 (* x (* x 1/60)))) |
(* (* x x) 1/120) |
(* x (* x 1/60)) |
(* x 1/60) |
| Outputs |
|---|
(+.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))) (*.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1/2 binary64)) |
(+.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x x) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) x) |
(*.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))) |
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216000 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3600 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 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 x (*.f64 x #s(literal 1/60 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(*.f64 #s(literal 1/60 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x #s(literal 1/60 binary64)) x) |
(*.f64 x #s(literal 1/60 binary64)) |
(*.f64 #s(literal 1/60 binary64) x) |
| 1× | egg-herbie |
| 4320× | *-lowering-*.f32 |
| 4320× | *-lowering-*.f64 |
| 2104× | +-lowering-+.f64 |
| 2104× | +-lowering-+.f32 |
| 1510× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 1512 |
| 1 | 298 | 1260 |
| 2 | 862 | 1204 |
| 3 | 3740 | 1198 |
| 4 | 7115 | 1198 |
| 0 | 8001 | 1198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 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)))) |
(* 1/6 (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) |
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 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
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))))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* x (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 3)) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
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 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* 2 x) |
(* x (+ 2 (* 1/3 (pow x 2)))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 5)) |
(* (pow x 5) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 1/60))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (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)) |
(* 1/120 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
(* 1/60 x) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 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 x (*.f64 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))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 1/6 (pow x 3)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* (pow x 3) (+ 1/6 (/ 1 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (*.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)) |
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(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
(* 1/60 x) |
(*.f64 x #s(literal 1/60 binary64)) |
Compiled 20147 to 1741 computations (91.4% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 636 | 13 | 649 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 638 | 17 | 655 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) | |
| 57.3% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.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))))))) 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)))))) | |
| ▶ | 89.2% | (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
| 89.2% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) | |
| 52.2% | (*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))) | |
| ▶ | 57.0% | (*.f64 x (+.f64 #s(literal 1 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 1/1728000 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))))))) |
| 89.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) | |
| 90.8% | (*.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)))))))) | |
| ▶ | 90.8% | (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
| 89.2% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) | |
| ✓ | 82.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| ▶ | 41.2% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| 41.1% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| 34.6% | (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| ▶ | 34.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 53.5% | x |
Compiled 719 to 334 computations (53.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (+.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)))) |
| ✓ | cost-diff | 128 | (/.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 1/1728000 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))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 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 1/1728000 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)))))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 #s(literal 1 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 1/1728000 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))))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
| ✓ | 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 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 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 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
| ✓ | cost-diff | 0 | (+.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 x (*.f64 x #s(literal 1/5040 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
| 3520× | *-lowering-*.f32 |
| 3520× | *-lowering-*.f64 |
| 2000× | +-lowering-+.f64 |
| 2000× | +-lowering-+.f32 |
| 1720× | fma-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 367 |
| 1 | 148 | 309 |
| 2 | 550 | 302 |
| 3 | 1649 | 296 |
| 4 | 2907 | 296 |
| 5 | 4378 | 295 |
| 6 | 6758 | 295 |
| 7 | 7816 | 295 |
| 0 | 8031 | 295 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))) |
1 |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))) |
(* x x) |
(+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))) |
1/6 |
(* (* x x) (+ 1/120 (* x (* x 1/5040)))) |
(+ 1/120 (* x (* x 1/5040))) |
1/120 |
(* x (* x 1/5040)) |
(* x 1/5040) |
1/5040 |
(* 1/6 (* x (* x x))) |
1/6 |
(* x (* x x)) |
x |
(* x x) |
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
x |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(* x x) |
(+ 1/6 (* (* x x) 1/120)) |
1/6 |
(* (* x x) 1/120) |
1/120 |
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))) |
x |
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))) |
2 |
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))) |
(* (* x x) (+ 1/3 (* (* x x) 1/60))) |
(* x x) |
(+ 1/3 (* (* x x) 1/60)) |
1/3 |
(* (* x x) 1/60) |
1/60 |
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))) |
x |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))) |
1 |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) |
(* x x) |
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) |
1/216 |
(* (* x (* x x)) (* (* x (* x x)) 1/1728000)) |
(* x (* x x)) |
(* (* x (* x x)) 1/1728000) |
1/1728000 |
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))) |
1/36 |
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)) |
(* (* x x) 1/120) |
1/120 |
(+ (* (* x x) 1/120) -1/6) |
-1/6 |
| Outputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))) |
(+.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 x (*.f64 x #s(literal 1/5040 binary64)))))))) |
1 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ 1/120 (* x (* x 1/5040)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(+ 1/120 (* x (* x 1/5040))) |
(+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) |
1/120 |
#s(literal 1/120 binary64) |
(* x (* x 1/5040)) |
(*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
(* x 1/5040) |
(*.f64 x #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
(* 1/6 (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))) |
x |
(* (* 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) |
(+ 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) |
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))) |
x |
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))) |
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))) |
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
(* (* x x) (+ 1/3 (* (* x x) 1/60))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
(* x x) |
(*.f64 x x) |
(+ 1/3 (* (* x x) 1/60)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) 1/60) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
1/60 |
#s(literal 1/60 binary64) |
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))))) |
x |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))))))) |
1 |
#s(literal 1 binary64) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))))) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))))) |
(* x x) |
(*.f64 x x) |
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) |
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))))) |
1/216 |
#s(literal 1/216 binary64) |
(* (* x (* x x)) (* (* x (* x x)) 1/1728000)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (* x (* x x)) 1/1728000) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
1/1728000 |
#s(literal 1/1728000 binary64) |
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))) |
(+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)))) |
1/36 |
#s(literal 1/36 binary64) |
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64))) |
(* (* x x) 1/120) |
(*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(+ (* (* x x) 1/120) -1/6) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) |
-1/6 |
#s(literal -1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (*.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))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 66.6% | (/.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 1/1728000 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))))) |
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
| 190.0ms | 256× | 0 | valid |
Compiled 460 to 44 computations (90.4% saved)
...c/correct-round.rkt:119:19: 48.0ms (37.2% of total)ival-add: 41.0ms (31.8% of total)ival-mult: 31.0ms (24% of total)ival-div: 8.0ms (6.2% of total)const: 1.0ms (0.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))> |
#<alt (* x x)> |
#<alt (* 1/6 (* x (* x x)))> |
#<alt (* x (* x x))> |
#<alt (* x (* (* x x) (+ 1/6 (* (* x x) 1/120))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) 1/120)))> |
#<alt (+ 1/6 (* (* x x) 1/120))> |
#<alt (/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))))> |
#<alt (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))> |
#<alt (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))> |
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/60)))> |
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))))> |
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))> |
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))> |
#<alt (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))> |
#<alt (* (* x x) (+ 1/120 (* x (* x 1/5040))))> |
#<alt (* x (* x 1/5040))> |
#<alt (* (* x x) 1/120)> |
#<alt (* (* x x) 1/60)> |
#<alt (* (* x (* x x)) 1/1728000)> |
#<alt (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))> |
| Outputs |
|---|
#<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 (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<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 (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 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 (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (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 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)))))> |
#<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 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt 1> |
#<alt (+ 1 (* -1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6)))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4))> |
#<alt 2> |
#<alt (+ 2 (* 1/3 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2)))))> |
#<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 (* 1/120 (pow x 2))))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120)))> |
#<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 1/36> |
#<alt (+ 1/36 (* -1/720 (pow x 2)))> |
#<alt (+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))> |
#<alt (+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)))> |
#<alt (* 1/14400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/14400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (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 (* 1/120 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* -1/720 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))> |
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))> |
#<alt (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))> |
#<alt (* 1/14400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* 1/14400 (pow x 4))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))) |
| 1.0ms | x | @ | inf | (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))) |
| 0.0ms | x | @ | 0 | (* 1/6 (* x (* x x))) |
| 1× | batch-egg-rewrite |
| 3534× | fma-lowering-fma.f32 |
| 3534× | fma-lowering-fma.f64 |
| 3046× | *-lowering-*.f32 |
| 3046× | *-lowering-*.f64 |
| 1976× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 248 |
| 1 | 292 | 187 |
| 2 | 2737 | 183 |
| 0 | 8191 | 183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040))))))) |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* x (* x 1/5040)))))) |
(* x x) |
(* 1/6 (* x (* x x))) |
(* x (* x x)) |
(* x (* (* x x) (+ 1/6 (* (* x x) 1/120)))) |
(* (* x x) (+ 1/6 (* (* x x) 1/120))) |
(+ 1/6 (* (* x x) 1/120)) |
(/ x (/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))))) |
(/ 2 (+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60))))) |
(+ 2 (* (* x x) (+ 1/3 (* (* x x) 1/60)))) |
(* (* x x) (+ 1/3 (* (* x x) 1/60))) |
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))))) |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))))) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) (+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)))) |
(+ 1/36 (* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6))) |
(* (* x x) (+ 1/120 (* x (* x 1/5040)))) |
(* x (* x 1/5040)) |
(* (* x x) 1/120) |
(* (* x x) 1/60) |
(* (* x (* x x)) 1/1728000) |
(* (* (* x x) 1/120) (+ (* (* x x) 1/120) -1/6)) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x (*.f64 x x)) x) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) x x) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) x) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x x) x) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (-.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))) |
(fma.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))))) |
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(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) (-.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/720 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/36 binary64))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 x (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64)))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/120 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64))) |
(*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) #s(literal -1/720 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x) (*.f64 x #s(literal 1/120 binary64))) |
(*.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)) #s(literal 1/120 binary64)) |
| 1× | egg-herbie |
| 3432× | *-lowering-*.f32 |
| 3432× | *-lowering-*.f64 |
| 2246× | +-lowering-+.f64 |
| 2246× | +-lowering-+.f32 |
| 1710× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 2388 |
| 1 | 459 | 1995 |
| 2 | 1334 | 1973 |
| 3 | 4035 | 1923 |
| 4 | 7930 | 1923 |
| 0 | 8300 | 1923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
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))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 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) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 3) (+ 1/6 (* 1/120 (pow x 2)))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* 1/6 (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))))) |
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))))) |
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 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
1 |
(+ 1 (* -1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -1/540 (pow x 2)))) 1/6))) |
(/ 120 (pow x 4)) |
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4)) |
(/ 120 (pow x 4)) |
(/ (- 120 (* 2400 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 120 (/ 33600 (pow x 4))) (* 2400 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 120 (/ 33600 (pow x 4))) (+ (* 2400 (/ 1 (pow x 2))) (* 384000 (/ 1 (pow x 6))))) (pow x 4)) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* (pow x 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow x 2))) (/ 2 (pow x 4))))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* (pow x 2) (+ 1/3 (* 1/60 (pow x 2)))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* 1/60 (pow x 4)) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/60 (* 1/3 (/ 1 (pow x 2))))) |
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 (* 1/120 (pow x 2)))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 5) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 5)) |
(* (pow x 5) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 2))) 1/120))) |
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))))) |
1/36 |
(+ 1/36 (* -1/720 (pow x 2))) |
(+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))) |
(+ 1/36 (* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/14400 (/ 1/36 (pow x 4))) (* 1/720 (/ 1 (pow x 2))))) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (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)) |
(* 1/120 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* -1/720 (pow x 2)) |
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)) |
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)) |
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* 1/14400 (pow x 4)) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(* 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 x (*.f64 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)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
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(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* (pow x 2) (- (* 1/14400 (pow x 2)) 1/720)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* 1/14400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* 1/14400 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
(* (pow x 4) (- 1/14400 (* 1/720 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) |
Compiled 34308 to 2753 computations (92% saved)
23 alts after pruning (19 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1138 | 15 | 1153 |
| Fresh | 5 | 4 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1147 | 23 | 1170 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) | |
| 55.7% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) | |
| 40.9% | (/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| 41.1% | (/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) | |
| ▶ | 41.1% | (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| 89.2% | (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) | |
| 90.8% | (+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) | |
| 41.2% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) | |
| 34.6% | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| ▶ | 34.6% | (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
| ▶ | 92.6% | (*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
| 90.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) | |
| ▶ | 90.8% | (*.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)))))))) |
| 90.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) | |
| ✓ | 82.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| 41.2% | (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) | |
| 4.9% | (*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64)))))))) | |
| ▶ | 41.1% | (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| 41.1% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| 41.1% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| ✓ | 34.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 53.5% | x |
Compiled 931 to 443 computations (52.4% saved)
| 1× | egg-herbie |
Found 19 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) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))) |
| ✓ | cost-diff | 0 | (+.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))))))) |
| ✓ | cost-diff | 0 | (*.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)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) |
| ✓ | cost-diff | 128 | (/.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 1/1728000 binary64))))) #s(literal 1/36 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
| 7302× | fma-define |
| 7092× | fma-lowering-fma.f32 |
| 7092× | fma-lowering-fma.f64 |
| 2112× | *-lowering-*.f32 |
| 2112× | *-lowering-*.f64 |
Useful iterations: 12 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 264 |
| 1 | 127 | 221 |
| 2 | 390 | 211 |
| 3 | 1178 | 205 |
| 4 | 2126 | 205 |
| 5 | 3169 | 203 |
| 6 | 4441 | 202 |
| 7 | 5628 | 202 |
| 8 | 6035 | 202 |
| 9 | 6090 | 202 |
| 10 | 6090 | 202 |
| 11 | 6102 | 202 |
| 12 | 6102 | 199 |
| 0 | 9249 | 199 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))) |
x |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)) |
1 |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) |
(* x x) |
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) |
1/216 |
(* (* x (* x x)) (* (* x (* x x)) 1/1728000)) |
(* x (* x x)) |
(* (* x (* x x)) 1/1728000) |
1/1728000 |
1/36 |
(* (* x x) (* x 1/6)) |
(* x x) |
x |
(* x 1/6) |
1/6 |
(* x (* (* x x) (* x (* x 1/120)))) |
x |
(* (* x x) (* x (* x 1/120))) |
(* x x) |
(* x (* x 1/120)) |
(* x 1/120) |
1/120 |
(/ x (/ 2 (* x (* x (* (* x x) 1/60))))) |
x |
(/ 2 (* x (* x (* (* x x) 1/60)))) |
2 |
(* x (* x (* (* x x) 1/60))) |
(* x (* (* x x) 1/60)) |
(* (* x x) 1/60) |
(* x x) |
1/60 |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
1 |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(* x x) |
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) |
1/6 |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
(+ 1/120 (* (* x x) 1/5040)) |
1/120 |
(* (* x x) 1/5040) |
1/5040 |
| Outputs |
|---|
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64))))))) |
x |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64)))))) |
1 |
#s(literal 1 binary64) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/48000 binary64))))) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) |
(* x x) |
(*.f64 x x) |
(+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))) |
(+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))) |
1/216 |
#s(literal 1/216 binary64) |
(* (* x (* x x)) (* (* x (* x x)) 1/1728000)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* (* x (* x x)) 1/1728000) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) |
1/1728000 |
#s(literal 1/1728000 binary64) |
1/36 |
#s(literal 1/36 binary64) |
(* (* x x) (* x 1/6)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (* (* x x) (* x (* x 1/120)))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 120 binary64)) |
x |
(* (* x x) (* x (* x 1/120))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 120 binary64)) |
(* x x) |
(*.f64 x x) |
(* x (* x 1/120)) |
(/.f64 (*.f64 x x) #s(literal 120 binary64)) |
(* x 1/120) |
(/.f64 x #s(literal 120 binary64)) |
1/120 |
#s(literal 1/120 binary64) |
(/ x (/ 2 (* x (* x (* (* x x) 1/60))))) |
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 120 binary64)) |
x |
(/ 2 (* x (* x (* (* x x) 1/60)))) |
(/.f64 (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x x))) x) |
2 |
#s(literal 2 binary64) |
(* x (* x (* (* x x) 1/60))) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))) |
(* x (* (* x x) 1/60)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* (* x x) 1/60) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* x x) |
(*.f64 x x) |
1/60 |
#s(literal 1/60 binary64) |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) |
(*.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)))))))) |
x |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
(+.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 |
#s(literal 1 binary64) |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(*.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)))))) |
(* x x) |
(*.f64 x x) |
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))) |
(+.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))))) |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(+ 1/120 (* (* x x) 1/5040)) |
(+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))) |
1/120 |
#s(literal 1/120 binary64) |
(* (* x x) 1/5040) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
1/5040 |
#s(literal 1/5040 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.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)))))))) |
| ✓ | accuracy | 99.9% | (*.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)))))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x #s(literal 1/120 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 1/120 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 99.4% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) |
| ✓ | accuracy | 99.7% | (/.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 1/1728000 binary64))))) #s(literal 1/36 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)) |
| 114.0ms | 256× | 0 | valid |
Compiled 338 to 38 computations (88.8% saved)
ival-mult: 34.0ms (47.7% of total)...c/correct-round.rkt:119:19: 26.0ms (36.5% of total)ival-add: 6.0ms (8.4% of total)ival-div: 5.0ms (7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)))> |
#<alt (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))> |
#<alt (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)> |
#<alt (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000))))> |
#<alt (* (* x x) (* x 1/6))> |
#<alt (* x x)> |
#<alt (* x 1/6)> |
#<alt (* x (* (* x x) (* x (* x 1/120))))> |
#<alt (* (* x x) (* x (* x 1/120)))> |
#<alt (* x (* x 1/120))> |
#<alt (/ x (/ 2 (* x (* x (* (* x x) 1/60)))))> |
#<alt (/ 2 (* x (* x (* (* x x) 1/60))))> |
#<alt (* x (* x (* (* x x) 1/60)))> |
#<alt (* x (* (* x x) 1/60))> |
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))> |
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))> |
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))> |
#<alt (* (* x (* x x)) 1/1728000)> |
#<alt (* x (* x x))> |
#<alt (* x 1/120)> |
#<alt (* (* x x) 1/60)> |
#<alt (* (* x x) 1/5040)> |
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/6 (pow x 2))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))> |
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))))> |
#<alt (* 1/48000 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* 1/48000 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000)))> |
#<alt 1> |
#<alt (+ 1 (* 1/6 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))> |
#<alt (* 1/48000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* 1/48000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))> |
#<alt (* 1/48000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* 1/48000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6)))))> |
#<alt (* 1/216 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))> |
#<alt (* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6))))> |
#<alt (* 1/1728000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* 1/1728000 (pow x 8))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 4))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (* 1/120 (pow x 5))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (/ 120 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 4))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<alt (* 1/60 (pow x 3))> |
#<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 (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 7))> |
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))> |
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))> |
#<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 (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/5040 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (* 1/1728000 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/120 x)> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/60 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/5040 (pow x 2))> |
#<alt (* 1/120 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* 1/5040 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))) |
| 0.0ms | x | @ | 0 | (* x (* (* x x) (* x (* x 1/120)))) |
| 0.0ms | x | @ | inf | (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))) |
| 0.0ms | x | @ | 0 | (* (* x x) (* x (* x 1/120))) |
| 1× | batch-egg-rewrite |
| 3654× | *-lowering-*.f32 |
| 3654× | *-lowering-*.f64 |
| 2672× | /-lowering-/.f32 |
| 2672× | /-lowering-/.f64 |
| 2404× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 205 |
| 1 | 213 | 174 |
| 2 | 1704 | 161 |
| 0 | 8469 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36))) |
(+ 1 (/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36)) |
(/ (* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) 1/36) |
(* (* x x) (+ 1/216 (* (* x (* x x)) (* (* x (* x x)) 1/1728000)))) |
(* (* x x) (* x 1/6)) |
(* x x) |
(* x 1/6) |
(* x (* (* x x) (* x (* x 1/120)))) |
(* (* x x) (* x (* x 1/120))) |
(* x (* x 1/120)) |
(/ x (/ 2 (* x (* x (* (* x x) 1/60))))) |
(/ 2 (* x (* x (* (* x x) 1/60)))) |
(* x (* x (* (* x x) 1/60))) |
(* x (* (* x x) 1/60)) |
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) |
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))) |
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))) |
(* (* x (* x x)) 1/1728000) |
(* x (* x x)) |
(* x 1/120) |
(* (* x x) 1/60) |
(* (* x x) 1/5040) |
(* (* x x) (+ 1/120 (* (* x x) 1/5040))) |
| Outputs |
|---|
(+.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))) |
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (/.f64 (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))) |
(fma.f64 x (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64))) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))))) |
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) #s(literal 1/36 binary64)) x) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) #s(literal 1/36 binary64)) x) |
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(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (*.f64 x x)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/1728000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64)))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/14400 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/25401600 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/128024064000 binary64))) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) |
(*.f64 (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x) |
| 1× | egg-herbie |
| 2494× | *-lowering-*.f32 |
| 2494× | *-lowering-*.f64 |
| 1538× | +-lowering-+.f64 |
| 1538× | +-lowering-+.f32 |
| 1402× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 1876 |
| 1 | 347 | 1691 |
| 2 | 1000 | 1664 |
| 3 | 2930 | 1660 |
| 4 | 5184 | 1660 |
| 0 | 8440 | 1660 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))) |
(* 1/48000 (pow x 9)) |
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* 1/48000 (pow x 9)) |
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))) |
(* 1/48000 (pow x 8)) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* 1/48000 (pow x 8)) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* (pow x 8) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))) |
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))) |
(* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))) |
(* 1/48000 (pow x 8)) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* 1/48000 (pow x 8)) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(* 1/216 (pow x 2)) |
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6)))) |
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6)))) |
(* (pow x 2) (+ 1/216 (* 1/1728000 (pow x 6)))) |
(* 1/1728000 (pow x 8)) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* 1/1728000 (pow x 8)) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* (pow x 8) (+ 1/1728000 (* 1/216 (/ 1 (pow x 6))))) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(* 1/6 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(* 1/120 (pow x 5)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(/ 120 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 4)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
(* 1/60 (pow x 3)) |
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)))))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 7)) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
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))))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/5040 (pow x 6)) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(* 1/1728000 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/60 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/5040 (pow x 2)) |
(* 1/120 (pow x 2)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* 1/5040 (pow x 4)) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(* 1/48000 (pow x 9)) |
(*.f64 #s(literal 1/48000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(* (pow x 9) (+ 1/48000 (+ (* 1/6 (/ 1 (pow x 6))) (/ 1 (pow x 8))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(* 1/48000 (pow x 9)) |
(*.f64 #s(literal 1/48000 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 1/48000 (* 1/6 (/ 1 (pow x 6))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 6))) 1/48000))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/48000 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/48000 (pow x 6))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
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(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
(* 1/60 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64))) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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)))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/5040 (pow x 7)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) x))) |
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 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 (* (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))))))) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 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 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.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)))))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))) |
(*.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)))))) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/5040 (pow x 6)) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(* 1/1728000 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/120 x) |
(*.f64 x #s(literal 1/120 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/60 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/60 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/5040 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5040 binary64)) |
(* 1/120 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/120 binary64)) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* 1/5040 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) |
Compiled 25377 to 2009 computations (92.1% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 868 | 18 | 886 |
| Fresh | 10 | 4 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 881 | 28 | 909 |
| Status | Accuracy | Program |
|---|---|---|
| 27.7% | (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) | |
| 26.0% | (/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) | |
| 53.8% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) | |
| 41.1% | (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) | |
| 41.1% | (/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) | |
| 41.1% | (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) | |
| ✓ | 41.1% | (/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
| 92.6% | (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) | |
| 41.2% | (*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) | |
| 34.6% | (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) | |
| 41.1% | (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) | |
| 41.1% | (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) | |
| 34.6% | (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) | |
| ✓ | 34.6% | (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
| 55.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) | |
| 53.3% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) | |
| 92.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64)))) | |
| 92.5% | (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64)))) | |
| 92.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64))))) | |
| 92.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) | |
| ✓ | 82.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| 44.4% | (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) | |
| 42.6% | (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) | |
| 41.1% | (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) | |
| ✓ | 34.6% | (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
| 42.6% | (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) | |
| ✓ | 100.0% | (sinh.f64 x) |
| ✓ | 53.5% | x |
Compiled 1913 to 571 computations (70.2% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(*.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)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64)))) |
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.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))))))) 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)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64)))))))) |
(sinh.f64 x) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| Outputs |
|---|
(sinh.f64 x) |
3 calls:
| 17.0ms | x |
| 15.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 12.0ms | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
| 100.0% | 1 | (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(*.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)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64)))) |
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.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))))))) 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)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 #s(literal 1/5159780352000000000 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)))) #s(literal -1/216 binary64)))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
1 calls:
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(*.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)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64)))) |
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.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))))))) 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)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))))) |
(*.f64 x (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) #s(literal 1/1296 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (*.f64 (*.f64 x x) #s(literal 36 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) (-.f64 x (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(*.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)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/1728000 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))) (/.f64 (*.f64 x x) #s(literal 1/36 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 binary64))))) #s(literal 1/36 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/1728000 binary64)) x)))) #s(literal 1/36 binary64)))) |
(+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 x x)) (+.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))) x) |
(*.f64 x (+.f64 #s(literal 1 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 1/1728000 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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.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))))))) 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)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) x)))) |
(*.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) |
(*.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)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))) x))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x #s(literal 1/5040 binary64))))))))) x) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64)))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) x) |
(/.f64 x (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 120 binary64) (/.f64 #s(literal -2400 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x)) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))) (*.f64 x (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/60 binary64)))))) |
(/.f64 x (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/60 binary64)))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64))))) |
(/.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 x #s(literal 1/60 binary64)))) x)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/120 binary64))))) x) |
(/.f64 x (/.f64 #s(literal 120 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) x) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) x) |
| Outputs |
|---|
x |
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.006301162573213e+43 | 2.167881680885435e+49 |
| 2.0ms | 2926987151860039000.0 | 1.2939652568760803e+29 |
| 2.0ms | 32× | 0 | valid |
Compiled 223 to 97 computations (56.5% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.006301162573213e+43 | 2.167881680885435e+49 |
| 1.0ms | 16× | 0 | valid |
Compiled 85 to 43 computations (49.4% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 7.768394374322041e-5 | 22145.243490470817 |
| 9.0ms | 144× | 0 | valid |
Compiled 301 to 163 computations (45.8% saved)
ival-exp: 3.0ms (54.6% of total)ival-sub: 1.0ms (18.2% of total)ival-div: 1.0ms (18.2% of total)ival-neg: 1.0ms (18.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.768394374322041e-5 | 22145.243490470817 |
| 9.0ms | 144× | 0 | valid |
Compiled 265 to 154 computations (41.9% saved)
ival-exp: 3.0ms (55.9% of total)ival-sub: 1.0ms (18.6% of total)ival-div: 1.0ms (18.6% of total)ival-neg: 1.0ms (18.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.768394374322041e-5 | 22145.243490470817 |
| 10.0ms | 144× | 0 | valid |
Compiled 247 to 163 computations (34% saved)
ival-exp: 3.0ms (45.4% of total)ival-neg: 2.0ms (30.3% of total)ival-sub: 1.0ms (15.1% of total)ival-div: 1.0ms (15.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.768394374322041e-5 | 22145.243490470817 |
| 10.0ms | 144× | 0 | valid |
Compiled 229 to 154 computations (32.8% saved)
ival-exp: 4.0ms (59% of total)ival-sub: 1.0ms (14.7% of total)ival-div: 1.0ms (14.7% of total)ival-neg: 1.0ms (14.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.768394374322041e-5 | 22145.243490470817 |
| 10.0ms | 144× | 0 | valid |
Compiled 121 to 82 computations (32.2% saved)
ival-exp: 4.0ms (63.2% of total)ival-sub: 1.0ms (15.8% of total)ival-div: 1.0ms (15.8% of total)ival-neg: 1.0ms (15.8% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 104× | *-commutative_binary64 |
| 54× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
| 34× | distribute-lft-neg-in_binary64 |
| 34× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 401 |
| 1 | 157 | 401 |
| 2 | 181 | 401 |
| 3 | 203 | 401 |
| 4 | 227 | 401 |
| 5 | 249 | 401 |
| 6 | 265 | 401 |
| 7 | 272 | 401 |
| 8 | 274 | 401 |
| 1× | saturated |
| Inputs |
|---|
(sinh.f64 x) |
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(if (<=.f64 x #s(literal 9/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
x |
| Outputs |
|---|
(sinh.f64 x) |
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64)))) (*.f64 x x)) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 5000000000000000000 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/5159780352000000000 binary64))))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal 1/216 binary64))))) #s(literal 1/36 binary64)))) (if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))) |
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 x x)) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 100000000000000008821361405306422640701865984 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal 1/2985984000000 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))))) (-.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))) #s(literal 1/36 binary64)))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/48000 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/48000 binary64)))))) |
(if (<=.f64 x #s(literal 9/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/48000 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x #s(literal 1/120 binary64)) x)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x #s(literal 1/120 binary64)))))))) |
(if (<=.f64 x #s(literal 3152519739159347/562949953421312 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 #s(literal 1/5040 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 3715469692580659/1125899906842624 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))) |
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
(if (<=.f64 x #s(literal 5 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/120 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) |
(if (<=.f64 x #s(literal 5404319552844595/2251799813685248 binary64)) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) |
x |
| 4320× | *-lowering-*.f32 |
| 4320× | *-lowering-*.f64 |
| 3654× | *-lowering-*.f32 |
| 3654× | *-lowering-*.f64 |
| 3588× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 205 |
| 1 | 213 | 174 |
| 2 | 1704 | 161 |
| 0 | 8469 | 161 |
| 0 | 89 | 1512 |
| 1 | 298 | 1260 |
| 2 | 862 | 1204 |
| 3 | 3740 | 1198 |
| 4 | 7115 | 1198 |
| 0 | 8001 | 1198 |
| 0 | 74 | 321 |
| 1 | 222 | 288 |
| 2 | 670 | 285 |
| 3 | 1946 | 285 |
| 4 | 2964 | 285 |
| 5 | 5512 | 285 |
| 6 | 6306 | 285 |
| 0 | 8211 | 285 |
| 0 | 150 | 2388 |
| 1 | 459 | 1995 |
| 2 | 1334 | 1973 |
| 3 | 4035 | 1923 |
| 4 | 7930 | 1923 |
| 0 | 8300 | 1923 |
| 0 | 7 | 17 |
| 1 | 42 | 13 |
| 2 | 301 | 13 |
| 0 | 3272 | 13 |
| 0 | 26 | 123 |
| 1 | 161 | 108 |
| 2 | 1318 | 106 |
| 0 | 8260 | 106 |
| 0 | 114 | 1876 |
| 1 | 347 | 1691 |
| 2 | 1000 | 1664 |
| 3 | 2930 | 1660 |
| 4 | 5184 | 1660 |
| 0 | 8440 | 1660 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 931 to 411 computations (55.9% saved)
(negabs x)
Compiled 840 to 214 computations (74.5% saved)
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