Details

analyze97.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.7s (51.4%)

Results

1.3s	2578×	body	1024	valid
660.0ms	1249×	body	2048	valid
380.0ms	3118×	body	256	valid
375.0ms	1263×	body	512	valid
31.0ms	48×	body	4096	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

72.18%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	72.18%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.86%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	0	(log.f64 (+.f64 x (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 x (hypot.f64 1 x)))

rewrite77.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1952	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 1 (*.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))))))

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1204×	`distribute-lft-in`
1028×	`distribute-rgt-in`
850×	`associate-+l-`
770×	`associate-r`
762×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	971
1	288	915
2	966	895
3	3862	895

Stop Event

1×	node limit

Counts

33 → 72

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6)))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (-.f64 (log.f64 1/2) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(log1p.f64 (-.f64 (hypot.f64 1 x) (-.f64 1 x)))

eval23.0ms (0.4%)

Compiler: Compiled 1046 to 770 computations (26.4% saved)

prune21.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	6	73

Error

0.09%

Counts

73 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.19%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	53.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	70.28%	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
▶	75.62%	(+.f64 (log.f64 2) (log.f64 x))
✓	72.18%	(log.f64 (+.f64 x (hypot.f64 1 x)))
	51.17%	x

Compiler

Compiled 45 to 35 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.15%	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series68.0ms (1.3%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
17.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))
9.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2022	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 x))) 2) (cbrt.f64 (log.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (.f64 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))))))

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-r`
1080×	`associate-l`
892×	`associate-+r+`
592×	`associate-+l+`
574×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1429
1	233	1035
2	799	1015
3	4518	1015

Stop Event

1×	node limit

Counts

43 → 45

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(.f64 (log.f64 (.f64 2 x)) 1)
(.f64 1 (log.f64 (.f64 2 x)))
(.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 (log.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(log.f64 (*.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (*.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 x))) 1))
(log1p.f64 (-.f64 (*.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(.f64 (log.f64 (.f64 2 x)) 1)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(.f64 1 (log.f64 (.f64 2 x)))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(.f64 (cbrt.f64 (log.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 2))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 2 x))) 2) (cbrt.f64 (log.f64 (*.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (log.f64 x) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(.f64 (log.f64 (.f64 2 x)) (/.f64 (log.f64 (/.f64 2 x)) (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (log.f64 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 (/.f64 2 x)) (pow.f64 (log.f64 x) 2)))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (+.f64 1 (-.f64 (*.f64 2 x) 1)))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 2 x))) 1))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(log1p.f64 (-.f64 (*.f64 2 x) 1))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 1 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 2 x))

localize22.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.16%	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

Compiler

Compiled 20 to 16 computations (20% saved)

series46.0ms (0.9%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
16.0ms	x	@	inf	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
0.0ms	x	@	-inf	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

rewrite91.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`*-commutative`
702×	`associate-*r/`
624×	`unswap-sqr`
520×	`associate-*l/`
466×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	208	11
2	2520	11

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) (-.f64 1 (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -1 (*.f64 1/2 x)))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 1/2) 0) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 -1 x)) 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(neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (+.f64 1 (/.f64 -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 -1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))))))

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1902×	`distribute-lft-in`
1882×	`distribute-rgt-in`
480×	`associate-+l+`
456×	`+-commutative`
390×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	5057
1	746	4745
2	3536	4703

Stop Event

1×	node limit

Counts

97 → 153

Calls

Call 1

Inputs
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(-.f64 0 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) (-.f64 1 (log.f64 1/2)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(-.f64 (+.f64 (log.f64 1/2) 0) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (exp.f64 (log1p.f64 (log.f64 1/2)))) 1)
(-.f64 (+.f64 (log.f64 1/2) (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))) 1)
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) 0) (log.f64 x))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(.f64 (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (log.f64 (/.f64 -1/2 x)))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (.f64 (log.f64 1/2) (log.f64 (/.f64 -1/2 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (-.f64 (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1/2 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))))) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3/2) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/6) (pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/6))
(/.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))) (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 1 (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (log.f64 (/.f64 -1 (*.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (log.f64 (/.f64 -1/2 x))))
(/.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (/.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))) (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (/.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))) (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))) (+.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))))
(/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (neg.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))
(/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) 1) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (neg.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))))) 1) (neg.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (+.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) 1) (log.f64 (/.f64 -1 (*.f64 1/2 x))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) 1) (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(log.f64 (/.f64 -1/2 x))
(log.f64 (-.f64 (+.f64 1 (/.f64 -1/2 x)) 1))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))

Outputs
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 -1) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 x) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 0 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x)))) 1)
(log.f64 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (expm1.f64 (log1p.f64 (log.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) (-.f64 1 (log.f64 1/2)))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1) (log.f64 1/2))
(+.f64 (log.f64 1/2) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 x))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (log.f64 (/.f64 -2 x))) (/.f64 (pow.f64 (log.f64 1/2) 2) (log.f64 (/.f64 -2 x))))
(-.f64 (+.f64 (log.f64 1/2) 0) (log.f64 (neg.f64 x)))
(neg.f64 (-.f64 (log.f64 (neg.f64 x)) (log.f64 1/2)))
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (exp.f64 (log1p.f64 (log.f64 1/2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/2))) (-.f64 1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (expm1.f64 (log1p.f64 (log.f64 1/2))))
(-.f64 (+.f64 (log.f64 1/2) (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))) 1) (log.f64 1/2))
(+.f64 (log.f64 1/2) (expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (*.f64 2 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 1/2) (*.f64 2 (log.f64 (sqrt.f64 x)))))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) 0) (log.f64 x))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (-.f64 (+.f64 (log.f64 1/2) (log.f64 -1)) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(-.f64 (+.f64 (log.f64 -1) (log.f64 1/2)) (*.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 1/2) (*.f64 3 (log.f64 (cbrt.f64 x)))))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(log.f64 (/.f64 -1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(.f64 (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(.f64 (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))) (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (.f64 (log.f64 1/2) (log.f64 (/.f64 -1/2 x)))))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x))) (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 1/2) (log.f64 (/.f64 -1/2 x)) (pow.f64 (log.f64 (/.f64 -1 x)) 2))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -2 x)))) 2))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (*.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -2 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 3))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (-.f64 (*.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) 3) (pow.f64 (log.f64 (/.f64 -1 x)) 6))) (fma.f64 (log.f64 1/2) (.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (.f64 (log.f64 1/2) (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (pow.f64 (log.f64 (/.f64 -1 x)) 2))) (pow.f64 (log.f64 (/.f64 -1 x)) 4)))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (pow.f64 (.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -2 x)))) 3) (pow.f64 (log.f64 (/.f64 -1 x)) 6))) (fma.f64 (log.f64 1/2) (.f64 (-.f64 (.f64 (log.f64 1/2) (neg.f64 (log.f64 (/.f64 -2 x)))) (pow.f64 (log.f64 (/.f64 -1 x)) 2)) (neg.f64 (log.f64 (/.f64 -2 x)))) (pow.f64 (log.f64 (/.f64 -1 x)) 4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))
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(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))))
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(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 -2 x))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (log.f64 (/.f64 -2 x)))) (sqrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (sqrt.f64 (log.f64 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (hypot.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3/2) (pow.f64 (log.f64 1/2) 3/2))) (sqrt.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))) (hypot.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3/2) (pow.f64 (log.f64 1/2) 3/2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (/.f64 (cbrt.f64 (log.f64 (/.f64 -2 x))) (cbrt.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x))))))
(.f64 (/.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x)))) (cbrt.f64 (log.f64 (/.f64 -2 x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 -2 x)))) (cbrt.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (+.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 (/.f64 -1 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (*.f64 (log.f64 (/.f64 -2 x)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (/.f64 1 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 2) 3) (pow.f64 (pow.f64 (log.f64 1/2) 2) 3)) (.f64 (log.f64 (/.f64 -2 x)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (+.f64 (pow.f64 (log.f64 1/2) 4) (pow.f64 (.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (log.f64 (/.f64 -2 x))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (+.f64 (pow.f64 (log.f64 1/2) 4) (pow.f64 (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (log.f64 (/.f64 -2 x))) (+.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 4) (pow.f64 (log.f64 1/2) 4)) (pow.f64 (*.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x))))))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (*.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2))) (-.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)))) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (*.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)) (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (-.f64 (pow.f64 (log.f64 1/2) 6) (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) 3) (pow.f64 (pow.f64 (log.f64 1/2) 3) 3)) (.f64 (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)) (-.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 6) (pow.f64 (log.f64 1/2) 6)) (.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) 1) (log.f64 (/.f64 -1 (*.f64 1/2 x))))
(log.f64 (/.f64 -1/2 x))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (.f64 (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (.f64 1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 1/2))))
(/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -2 x))) (.f64 (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 1/2))) (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 x))))))
(/.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (*.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 x)))) (-.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 1/2)))) (log.f64 (/.f64 -2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) 1) (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (*.f64 1/2 x)))))))
(.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2)))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1/2 x))) 2)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1/2 x))) 3)
(log.f64 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3) 1/3)
(log.f64 (/.f64 -1/2 x))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1 (.f64 1/2 x)))) (neg.f64 (log.f64 (/.f64 -1 (*.f64 1/2 x))))))
(log.f64 (/.f64 -1/2 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -1 (.f64 1/2 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x))))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 -1 x)) 3) (pow.f64 (log.f64 1/2) 3)) (fma.f64 (log.f64 (/.f64 -1 x)) (log.f64 (/.f64 -2 x)) (pow.f64 (log.f64 1/2) 2))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 2))
(fabs.f64 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(log.f64 (-.f64 (+.f64 1 (/.f64 -1/2 x)) 1))
(log.f64 (+.f64 1 (+.f64 (/.f64 -1/2 x) -1)))
(log.f64 (+.f64 (/.f64 -1/2 x) 0))
(log.f64 (+.f64 0 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1/2 x)) 3))
(log.f64 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
(log.f64 (+.f64 1 (+.f64 (/.f64 -1/2 x) -1)))
(log.f64 (+.f64 (/.f64 -1/2 x) 0))
(log.f64 (+.f64 0 (/.f64 -1/2 x)))
(fma.f64 1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 1 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 -1 x))) (sqrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) 2) (cbrt.f64 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.22%	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))

rewrite62.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1597	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1088×	`distribute-rgt-out`
1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
892×	`log-prod`
638×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	99	209
2	322	143
3	1696	143
4	6830	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

Outputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)
✓	0.08%	(*.f64 3/40 (pow.f64 x 5))
	0.22%	(*.f64 -1/6 (pow.f64 x 3))
✓	31.76%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series2.0ms (0%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
0.0ms	x	@	0	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

rewrite122.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1000×	`distribute-rgt-in`
966×	`distribute-lft-in`
838×	`associate-*l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	300	57
2	3761	57

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (*.f64 3/40 (pow.f64 x 5)) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)) (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (/.f64 (*.f64 9/1600 (pow.f64 x 10)) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (*.f64 3/40 (pow.f64 x 5)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 6) 1/36)) (*.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/36) 3) (pow.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) 3))) (+.f64 (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))) (*.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))) (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))))))

simplify163.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-+r+`
1114×	`+-commutative`
780×	`associate-r`
772×	`associate-/l*`
678×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	14103
1	1468	13133
2	7441	13133

Stop Event

1×	node limit

Counts

199 → 284

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
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(/.f64 (/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (+.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) 1) (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
x
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 x x (.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (.f64 (pow.f64 x 5) -3/40))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)))
(+.f64 (-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (/.f64 (fma.f64 x x (.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (.f64 (pow.f64 x 5) -3/40))))
(-.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.f64 3/40 (pow.f64 x 5) x)))
(+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(-.f64 (+.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (+.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 3/40 (pow.f64 x 5))) 1) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) (expm1.f64 (log1p.f64 x))))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 6) 1/36 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2)) (fma.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (.f64 (pow.f64 x 6) 1/36))) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 6) 1/36)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 -1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (-.f64 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 1/1296) (.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2) (.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (.f64 1/6 (pow.f64 x 3))))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (.f64 19683/262144000000000 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3))) (.f64 (fma.f64 x (+.f64 x (.f64 (pow.f64 x 5) -3/40)) (.f64 9/1600 (pow.f64 x 10))) (+.f64 (pow.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) (.f64 -27/64000 (pow.f64 (pow.f64 x 5) 3))) (*.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (.f64 19683/262144000000000 (pow.f64 (pow.f64 (pow.f64 x 5) 3) 3))) (.f64 (fma.f64 x (+.f64 x (.f64 (pow.f64 x 5) -3/40)) (.f64 9/1600 (pow.f64 x 10))) (+.f64 (pow.f64 x 6) (+.f64 (.f64 729/4096000000 (pow.f64 (pow.f64 x 10) 3)) (.f64 (pow.f64 x 3) (*.f64 -27/64000 (pow.f64 (pow.f64 x 5) 3)))))))
(/.f64 (/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) 1) (-.f64 (*.f64 3/40 (pow.f64 x 5)) x))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (sqrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (sqrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (.f64 (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x)))) (cbrt.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x)))
(-.f64 (/.f64 (.f64 9/1600 (pow.f64 x 10)) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (.f64 (/.f64 x (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) x))
(/.f64 (fma.f64 x x (.f64 (pow.f64 x 10) -9/1600)) (+.f64 x (.f64 (pow.f64 x 5) -3/40)))
(/.f64 (/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (+.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x))) (-.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (neg.f64 (sqrt.f64 x))) (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x x)) (*.f64 (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (sqrt.f64 x)) (fma.f64 (sqrt.f64 3/40) (pow.f64 x 5/2) (neg.f64 (sqrt.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) 1) (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 5) -3/40)) (.f64 9/1600 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) (sqrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5))))))) (sqrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 5) -3/40)) (.f64 9/1600 (pow.f64 x 10))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5)))))) (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (.f64 3/40 (pow.f64 x 5)))))))) (cbrt.f64 (+.f64 (.f64 9/1600 (pow.f64 x 10)) (.f64 x (-.f64 x (*.f64 3/40 (pow.f64 x 5)))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 27/64000 (pow.f64 (pow.f64 x 5) 3))) (fma.f64 9/1600 (pow.f64 x 10) (.f64 x (+.f64 x (*.f64 -3/40 (pow.f64 x 5))))))
(/.f64 (fma.f64 27/64000 (pow.f64 (pow.f64 x 5) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 5) -3/40)) (.f64 9/1600 (pow.f64 x 10))))
(pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 1)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 2)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 3)
(fma.f64 3/40 (pow.f64 x 5) x)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3) 1/3)
(fma.f64 3/40 (pow.f64 x 5) x)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 2))
(fabs.f64 (fma.f64 3/40 (pow.f64 x 5) x))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(fma.f64 3/40 (pow.f64 x 5) x)
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 5) x) 3))
(fma.f64 3/40 (pow.f64 x 5) x)
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 5) x)) 1))
(fma.f64 3/40 (pow.f64 x 5) x)
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 5) x)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (pow.f64 x 5) 3/40 x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 x (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 5)) x)
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) (.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) x)
(+.f64 (pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2) x)
(+.f64 x (pow.f64 (*.f64 (sqrt.f64 3/40) (pow.f64 x 5/2)) 2))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)
(fma.f64 (cbrt.f64 (.f64 9/1600 (pow.f64 x 10))) (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 3/40 (pow.f64 x 5)))
(fma.f64 3/40 (pow.f64 x 5) x)

eval381.0ms (7.2%)

Compiler: Compiled 15207 to 12198 computations (19.8% saved)

prune98.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	507	3	510
Fresh	0	1	1
Picked	0	1	1
Done	2	2	4
Total	509	7	516

Error

Counts

516 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.62%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
✓	53.19%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	53.56%	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	70.2%	(log.f64 (/.f64 -1/2 x))
✓	72.18%	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	75.54%	(log.f64 (*.f64 2 x))
	51.17%	x

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize12.0ms (0.2%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.22%	(*.f64 -1/6 (pow.f64 x 3))
✓	1.03%	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Compiler

Compiled 40 to 33 computations (17.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1852×	`add-cube-cbrt`
1842×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	224	13
2	2791	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)))))

simplify90.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate--l+`
1212×	`associate-/r*`
1130×	`associate-+r-`
1122×	`associate-r`
1012×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1455
1	281	1381
2	911	1369
3	4579	1369

Stop Event

1×	node limit

Counts

59 → 57

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 (pow.f64 x 3) -1/6)
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(.f64 (.f64 x x) (*.f64 x -1/6))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2)))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2))))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 -1 (fma.f64 -1/6 (pow.f64 x 3) 1))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 1 (.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 x (.f64 (*.f64 x x) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 x x) (*.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (/.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(.f64 (.f64 -1/6 x) (*.f64 x x))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2))
(*.f64 -1/6 (pow.f64 x 3))
(.f64 (.f64 -1/6 (*.f64 x x)) x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 1))
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1))) (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) -1)))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 (*.f64 (pow.f64 x 3) 1/6) 2))
(/.f64 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 (pow.f64 x 3) 1/6 1) 1) (+.f64 2 (*.f64 (pow.f64 x 3) 1/6)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (fma.f64 -1/6 (pow.f64 x 3) -1)) (fma.f64 -1/6 (pow.f64 x 3) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -2) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2)) (fma.f64 -1/6 (pow.f64 x 3) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2) (fma.f64 -1/6 (pow.f64 x 3) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 2 (fma.f64 -1/6 (pow.f64 x 3) (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (fma.f64 -1/6 (pow.f64 x 3) 2))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) -1)
(*.f64 -1/6 (pow.f64 x 3))

eval41.0ms (0.8%)

Compiler: Compiled 1145 to 946 computations (17.4% saved)

prune21.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	71	7	78

Error

Counts

78 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.62%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
▶	53.56%	(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
✓	53.19%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	70.2%	(log.f64 (/.f64 -1/2 x))
✓	72.18%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	75.54%	(log.f64 (*.f64 2 x))
	51.17%	x

Compiler

Compiled 55 to 41 computations (25.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.17%	(.f64 (.f64 x x) (*.f64 x -1/6))
✓	0.54%	(*.f64 x -1/6)

Compiler

Compiled 25 to 12 computations (52% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x -1/6)
0.0ms	x	@	-inf	(*.f64 x -1/6)
0.0ms	x	@	inf	(*.f64 x -1/6)
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 x -1/6))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (*.f64 x -1/6))

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`add-sqr-sqrt`
1274×	`*-un-lft-identity`
1190×	`add-cube-cbrt`
1174×	`add-cbrt-cube`
1162×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	143	20
2	1700	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x -1/6)
(.f64 (.f64 x x) (*.f64 x -1/6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1684×	`log-prod`
1216×	`associate-r`
1038×	`associate-l`
948×	`associate-+r+`
942×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	460
1	151	460
2	552	460
3	3405	460

Stop Event

1×	node limit

Counts

46 → 24

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))

Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (pow.f64 (*.f64 x -1/6) 3) 1/3)
(*.f64 -1/6 x)
(sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))
(*.f64 -1/6 x)
(log.f64 (pow.f64 (exp.f64 -1/6) x))
(*.f64 -1/6 x)
(cbrt.f64 (pow.f64 (*.f64 x -1/6) 3))
(*.f64 -1/6 x)
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (.f64 x (sqrt.f64 (.f64 x -1/6))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 1/36))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))

eval5.0ms (0.1%)

Compiler: Compiled 251 to 165 computations (34.3% saved)

prune16.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	24	7	31

Error

Counts

31 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	53.62%	(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
✓	53.56%	(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
✓	53.19%	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	70.2%	(log.f64 (/.f64 -1/2 x))
✓	72.18%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	75.54%	(log.f64 (*.f64 2 x))
	51.17%	x

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes58.0ms (1.1%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

27.0ms	x
20.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0%	3	`x`
11.33%	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
11.33%	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 98 to 69 computations (29.6% saved)

bsearch73.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.000389066457227628	0.07320506836854643
57.0ms	-1.7488860319292047e+20	-2.0433906232050893e-7

Results

69.0ms

288×

body

256

valid

Compiler

Compiled 406 to 323 computations (20.4% saved)

regimes55.0ms (1%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (+.f64 x (hypot.f64 1 x)))

Calls

3 calls:

27.0ms	x
18.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.02%	3	`x`
11.35%	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
11.35%	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 85 to 59 computations (30.6% saved)

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.000389066457227628	0.07320506836854643
25.0ms	-1.7488860319292047e+20	-2.0433906232050893e-7

Results

35.0ms

288×

body

256

valid

Compiler

Compiled 334 to 233 computations (30.2% saved)

regimes29.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 2 x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x)
(+.f64 (log.f64 2) (log.f64 x))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 2 x))

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.51%	3	`x`

Compiler

Compiled 44 to 31 computations (29.5% saved)

bsearch48.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.07320506836854643	45.16911587693536
32.0ms	-1.7488860319292047e+20	-2.0433906232050893e-7

Results

44.0ms

304×

body

256

valid

Compiler

Compiled 337 to 238 computations (29.4% saved)

regimes13.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)
(log.f64 (*.f64 2 x))

Outputs
x
(log.f64 (*.f64 2 x))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
28.58%	2	`x`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch20.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.07320506836854643	45.16911587693536

Results

19.0ms

128×

body

256

valid

Compiler

Compiled 86 to 66 computations (23.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.7b remaining (-5.1%)

Threshold costs -1.7b (-5.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x)

Outputs
x

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
51.17%	1	`x`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	241
1	59	241

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5944751508129055/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7839866231326559/9223372036854775808) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (.f64 2 x))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x)))
x

Outputs
(if (<=.f64 x -5944751508129055/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5944751508129055/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4150517416584649/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7839866231326559/9223372036854775808) (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 7839866231326559/9223372036854775808) (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) (log.f64 (.f64 2 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) (log.f64 (.f64 x 2))))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 2 x)))
(if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2)))
x

Compiler

Compiled 98 to 69 computations (29.6% saved)

soundness84.0ms (1.6%)

Algorithm

4×	egg-herbie

Rules

1902×	`distribute-lft-in`
1882×	`distribute-rgt-in`
480×	`associate-+l+`
456×	`+-commutative`
390×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	274	5057
1	746	4745
2	3536	4703
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17

Stop Event

1×	saturated
1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 94 to 64 computations (31.9% saved)

end61.0ms (1.1%)

Compiler: Compiled 94 to 64 computations (31.9% saved)

Details

analyze97.0ms (1.8%)

sample2.7s (51.4%)

preprocess4.0ms (0.1%)

simplify20.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite77.0ms (1.5%)

simplify51.0ms (1%)

eval23.0ms (0.4%)

prune21.0ms (0.4%)

localize8.0ms (0.1%)

series68.0ms (1.3%)

rewrite60.0ms (1.1%)

simplify61.0ms (1.2%)

localize22.0ms (0.4%)

series46.0ms (0.9%)

rewrite91.0ms (1.7%)

simplify84.0ms (1.6%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite62.0ms (1.2%)

simplify56.0ms (1.1%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite122.0ms (2.3%)

simplify163.0ms (3.1%)

eval381.0ms (7.2%)

prune98.0ms (1.8%)

localize5.0ms (0.1%)

localize12.0ms (0.2%)

localize17.0ms (0.3%)

series1.0ms (0%)

rewrite70.0ms (1.3%)

simplify90.0ms (1.7%)

eval41.0ms (0.8%)

prune21.0ms (0.4%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (1.5%)

simplify47.0ms (0.9%)

eval5.0ms (0.1%)

prune16.0ms (0.3%)

regimes58.0ms (1.1%)

bsearch73.0ms (1.4%)

regimes55.0ms (1%)

bsearch38.0ms (0.7%)

regimes29.0ms (0.5%)

bsearch48.0ms (0.9%)

regimes13.0ms (0.3%)

bsearch20.0ms (0.4%)

regimes4.0ms (0.1%)

simplify7.0ms (0.1%)

soundness84.0ms (1.6%)

end61.0ms (1.1%)

Profiling