Details

analyze728.0ms (8.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.1s (69.3%)

Results

4.1s	4145×	body	1024	valid
1.1s	2062×	body	512	valid
560.0ms	421×	body	2048	valid
327.0ms	1628×	body	256	valid

preprocess15.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	33	10
5	43	10
6	57	10
7	73	10
8	77	10
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	33	10
5	43	10
6	57	10
7	73	10
8	77	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler: Compiled 16 to 12 computations (25% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	60.7b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	7.0b	(log.f64 (-.f64 1 x))
✓	7.0b	(log.f64 (+.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
2.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms	x	@	0	(log.f64 (+.f64 1 x))
1.0ms	x	@	-inf	(log.f64 (+.f64 1 x))
1.0ms	x	@	inf	(log.f64 (+.f64 1 x))

rewrite70.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
815×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
800×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	167	18
2	2184	18

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

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

Outputs

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

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
544×	`associate-/r*_binary64`
338×	`associate--r+_binary64`
321×	`times-frac_binary64`
244×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1636
1	559	1496
2	1946	1399

Stop Event

1×	node limit

Counts

107 → 141

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 x) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(.f64 x (+.f64 (.f64 -1/2 x) -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(-.f64 (fma.f64 -1/2 (.f64 x x) (.f64 (pow.f64 x 3) -1/3)) x)
(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (-.f64 (.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 x (.f64 x -1/2) (-.f64 (fma.f64 (pow.f64 x 3) -1/3 (.f64 -1/4 (pow.f64 x 4))) x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (log.f64 x) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 -1) (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 (/.f64 1/2 x) x))
(-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 (/.f64 1/2 x) x))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (.f64 (pow.f64 x 3) -5/12))) -1)
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 (pow.f64 x 3) -5/12 (neg.f64 x)) -1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) -5/12 (-.f64 -1 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(*.f64 (/.f64 1 (log.f64 x)) (+.f64 (log.f64 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x))))
(-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 (/.f64 (log.f64 -1) x) (*.f64 (log.f64 x) (log.f64 x)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x))))) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (.f64 -1/2 (/.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (.f64 x x)))))
(+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (-.f64 (-.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (log.f64 x) (log.f64 x))) (.f64 x x)) (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 -1/2 (log.f64 x)) (.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (.f64 x x)) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (log.f64 x) (.f64 x (.f64 x (log.f64 x))))) (/.f64 (/.f64 (log.f64 -1) x) (*.f64 (log.f64 x) (log.f64 x))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(-.f64 (+.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/3 (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1/2 (/.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (.f64 x x)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x)))))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))))))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))))) (-.f64 (/.f64 2 (.f64 x (neg.f64 (log.f64 x)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (pow.f64 x 3) (.f64 (log.f64 x) (log.f64 x)))) (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (log.f64 x) (log.f64 x))) (.f64 x x)) (-.f64 (-.f64 (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 (.f64 x x) (neg.f64 (log.f64 x))))) (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (log.f64 x))))) (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))))))
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(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
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(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (neg.f64 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3))))))
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(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (.f64 x x))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
1.0ms	x	@	inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms	x	@	0	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
418×	`add-sqr-sqrt_binary64`
412×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	124	8
2	1717	8

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

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

Outputs

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

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-/r*_binary64`
450×	`fma-def_binary64`
313×	`times-frac_binary64`
287×	`associate-+l+_binary64`
287×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	1206
1	411	1099
2	1481	1006
3	7806	1006

Stop Event

1×	node limit

Counts

42 → 53

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1 x (.f64 -5/12 (pow.f64 x 3)))) -1)
(fma.f64 -1/2 (*.f64 x x) (+.f64 (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)) -1))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(*.f64 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2)) x))
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(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (-.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) (.f64 x x))))

eval99.0ms (1.1%)

Compiler: Compiled 5086 to 3676 computations (27.7% saved)

prune30.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	190	6	196

Error

Counts

196 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.7b	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
▶	0.7b	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
▶	1.0b	(-.f64 -1 x)
	1.7b	-1
▶	62.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.2%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
✓	0.0b	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
✓	0.4b	(*.f64 -1/3 x)
	7.0b	(log.f64 (+.f64 1 x))

Compiler

Compiled 59 to 37 computations (37.3% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
1.0ms	x	@	0	(*.f64 -1/3 x)
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
1.0ms	x	@	0	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
670×	`fma-def_binary64`
329×	`fma-neg_binary64`
259×	`expm1-udef_binary64`
258×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	299	34
2	4340	34

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -1/3 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2)))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/27 (pow.f64 x 3) -1/8) (*.f64 x x)) (fma.f64 (*.f64 -1/3 x) (fma.f64 -1/3 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/9)) (*.f64 x x)) (+.f64 -1/2 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 -1/27 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 -1/3 x) (fma.f64 -1/3 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/9))) (+.f64 -1/2 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (fma.f64 -1/3 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/3 (pow.f64 x 3))) (exp.f64 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-1/3 x -1/2)) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 -1/3 x -1/2) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -1/3 x -1/2) 2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -1/3 x -1/2)))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (/.f64 (*.f64 x (sqrt.f64 (fma.f64 -1/3 x -1/2))) (sqrt.f64 (log1p.f64 x))) (neg.f64 (/.f64 x (log1p.f64 x))))))))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

711×	`times-frac_binary64`
518×	`fma-neg_binary64`
371×	`distribute-rgt-in_binary64`
341×	`distribute-lft-in_binary64`
272×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	896
1	256	886
2	783	814
3	3698	629

Stop Event

1×	node limit

Counts

154 → 154

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x))))))
(.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -1/3 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -1/3)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/3))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 (pow.f64 x 3) -1/6 (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x))
(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))
(+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))))
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (.f64 x (+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x)))))))
(-.f64 (+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x))))))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))))
(-.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (/.f64 1/9 (.f64 (log.f64 x) (log.f64 x)))) (-.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (log.f64 x)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (neg.f64 (log.f64 x)))))
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x)))
(.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))
(*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))
(+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))))
(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))
(fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (*.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (.f64 x (+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x)))))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))))
(-.f64 (+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (/.f64 1/9 (.f64 (log.f64 x) (log.f64 x)))) (-.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (fma.f64 x (.f64 x (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x)))) (.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)))) (+.f64 (-.f64 (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (log.f64 x)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/3 (log.f64 x)) (log.f64 x)) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 -1 (log.f64 x)))) (neg.f64 (log.f64 x)))))
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (log.f64 x) 2)) (/.f64 -1/3 (pow.f64 (log.f64 x) 3))) (-.f64 (/.f64 -1 (log.f64 x)) (/.f64 1/6 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
1.0ms	x	@	-inf	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
1.0ms	x	@	0	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
677×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	148	11
2	1802	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))

Outputs

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

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-def_binary64`
597×	`fma-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
286×	`unsub-neg_binary64`
273×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	118
1	28	112
2	54	105
3	131	89
4	350	89
5	1025	89
6	2389	89
7	4360	89
8	5359	89
9	6309	89
10	6684	89
11	7120	89

Stop Event

1×	node limit

Counts

35 → 32

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(+.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval106.0ms (1.2%)

Compiler: Compiled 5236 to 3487 computations (33.4% saved)

prune34.0ms (0.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	226	3	229
Fresh	0	1	1
Picked	1	0	1
Done	0	4	4
Total	227	8	235

Error

Counts

235 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
✓	62.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
▶	0.7b	(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.7b	(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
✓	1.0b	(-.f64 -1 x)
▶	0.7b	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
	1.7b	-1

Compiler

Compiled 80 to 58 computations (27.5% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`unpow-prod-down_binary64`
421×	`log-prod_binary64`
419×	`fma-def_binary64`
307×	`exp-prod_binary64`
269×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	180	11
2	2537	11

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (/.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (pow.f64 (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2) 3) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 (-.f64 -1 x) x) (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 2) (*.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) 2)) (+.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 1/4 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (sqrt.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 -1 x)) (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 -1 x) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))))))

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1352×	`fma-def_binary64`
597×	`fma-neg_binary64`
378×	`distribute-rgt-neg-in_binary64`
286×	`unsub-neg_binary64`
273×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	118
1	28	112
2	54	105
3	131	89
4	350	89
5	1025	89
6	2389	89
7	4360	89
8	5359	89
9	6309	89
10	6684	89
11	7120	89

Stop Event

1×	node limit

Counts

93 → 90

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(+.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
✓	0.4b	(*.f64 x -1/6)

Compiler

Compiled 38 to 24 computations (36.8% saved)

series3.0ms (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 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
0.0ms	x	@	-inf	(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`prod-diff_binary64`
451×	`log-prod_binary64`
364×	`fma-def_binary64`
297×	`pow-prod-down_binary64`
278×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	220	19
2	2855	19

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

772×	`distribute-rgt-neg-in_binary64`
667×	`distribute-lft-neg-in_binary64`
536×	`unswap-sqr_binary64`
514×	`associate-l_binary64`
467×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	203
1	52	199
2	114	190
3	372	171
4	1163	161
5	4048	161
6	7749	161

Stop Event

1×	node limit

Counts

164 → 153

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

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)
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x)))
(.f64 (.f64 x x) (fma.f64 -1/6 x -1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x -1/2))) x)
(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x)
(-.f64 (.f64 (.f64 x x) (fma.f64 -1/6 x -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x -1/2)))
(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x)))
(.f64 (.f64 x x) (fma.f64 -1/6 x -1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x -1/2))) x)
(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/6 x))) x)
(-.f64 (.f64 (.f64 x x) (fma.f64 -1/6 x -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 -1/6 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x (fma.f64 -1/6 x -1/2) -1) -1)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
	0.0b	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
	0.4b	(*.f64 -1/3 x)

Compiler

Compiled 51 to 29 computations (43.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))

1.0ms

inf

(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))

0.0ms

(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
562×	`fma-def_binary64`
339×	`pow2_binary64`
279×	`fma-neg_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	259	19
2	3870	19

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

689×	`times-frac_binary64`
502×	`fma-neg_binary64`
371×	`distribute-rgt-in_binary64`
340×	`distribute-lft-in_binary64`
270×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	749
1	252	739
2	770	676
3	3634	491

Stop Event

1×	node limit

Counts

73 → 80

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 x (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))) (.f64 1/6 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x))))))
(.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
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Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))
(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))
(*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2)))
(fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x))))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))))
(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x))))
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(*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))
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(fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
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(fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (*.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))))
(fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))))) (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (*.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (.f64 x (+.f64 (.f64 x (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x)))) (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2)))))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)) (+.f64 (.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (pow.f64 x 2)) (.f64 -1/3 (/.f64 (pow.f64 x 3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (.f64 1/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))) (.f64 (.f64 x x) (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))))) (/.f64 1/9 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 1/6 (pow.f64 (neg.f64 (log.f64 x)) 2)))) (neg.f64 (log.f64 x))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (pow.f64 (neg.f64 (log.f64 x)) 2)) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 x (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (/.f64 1/9 (.f64 (log.f64 x) (log.f64 x)))) (-.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (.f64 1/3 (/.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (-.f64 (.f64 1/2 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x)))) (/.f64 (-.f64 (/.f64 1 (neg.f64 (log.f64 x))) (-.f64 (/.f64 1/6 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 1/2 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x))))))
(+.f64 (+.f64 (fma.f64 x (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (.f64 (log.f64 x) (log.f64 x))))) (/.f64 (/.f64 1/9 (log.f64 x)) (log.f64 x))) (-.f64 (fma.f64 (.f64 x x) (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (log.f64 x))))) (/.f64 (+.f64 (/.f64 -1 (log.f64 x)) (+.f64 (/.f64 (+.f64 (/.f64 1/3 (.f64 (log.f64 x) (log.f64 x))) (/.f64 -1/2 (log.f64 x))) (neg.f64 (log.f64 x))) (/.f64 -1/6 (*.f64 (log.f64 x) (log.f64 x))))) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 x 3) (log.f64 x)) (/.f64 1/9 (pow.f64 (log.f64 x) 2))) (.f64 (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 2)) (/.f64 -1/2 (log.f64 x))) (-.f64 (.f64 x x) (/.f64 -1/2 (log.f64 x))))) (*.f64 (-.f64 (+.f64 (/.f64 -1 (log.f64 x)) (/.f64 -1/6 (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 1/3 (pow.f64 (log.f64 x) 3)) (/.f64 -1/2 (pow.f64 (log.f64 x) 2)))) (-.f64 (/.f64 1 (log.f64 x)) x)))

eval181.0ms (2.1%)

Compiler: Compiled 8439 to 5522 computations (34.6% saved)

prune54.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	396	3	399
Fresh	1	0	1
Picked	0	1	1
Done	2	4	6
Total	399	8	407

Error

Counts

407 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
✓	62.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
	1.7b	-1
▶	0.7b	(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.0b	(-.f64 -1 x)
✓	0.7b	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
▶	0.7b	(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))

Compiler

Compiled 78 to 55 computations (29.5% saved)

localize11.0ms (0.1%)

Compiler: Compiled 28 to 18 computations (35.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
✓	0.0b	(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
	0.4b	(*.f64 x -1/6)

Compiler

Compiled 35 to 25 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
1.0ms	x	@	-inf	(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
1.0ms	x	@	0	(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
0.0ms	x	@	0	(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
0.0ms	x	@	-inf	(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
450×	`prod-diff_binary64`
318×	`pow-prod-down_binary64`
287×	`pow2_binary64`
239×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	225	23
2	2984	23

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 x x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -1/2) 1) (*.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 (*.f64 -1/6 (*.f64 x x)) 3)) (+.f64 (pow.f64 (*.f64 x -1/2) 2) (-.f64 (pow.f64 (*.f64 -1/6 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x -1/2) 2) (pow.f64 (*.f64 -1/6 (*.f64 x x)) 2)) (-.f64 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/216 (pow.f64 x 3) -1/8) x) (fma.f64 (*.f64 x -1/6) (fma.f64 x -1/6 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) x) (+.f64 -1/2 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 -1/216 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -1/6) (fma.f64 x -1/6 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 (*.f64 x x) 1/36))) (+.f64 -1/2 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/6 (*.f64 x x))) (exp.f64 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/6 -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/6 -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/2 (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/6) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 x (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 x x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) x (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (*.f64 x x)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/6 (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)) (*.f64 (cbrt.f64 (*.f64 x -1/6)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/6)) (*.f64 (sqrt.f64 (*.f64 x -1/6)) x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/2) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) 1 (*.f64 (*.f64 -1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (cbrt.f64 (*.f64 x -1/2)) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -1/6 (*.f64 x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (*.f64 x x))) (sqrt.f64 (*.f64 -1/6 (*.f64 x x))) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 1/36))) (cbrt.f64 (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1/6 (*.f64 x x)))))))

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

824×	`distribute-rgt-neg-in_binary64`
712×	`distribute-lft-neg-in_binary64`
564×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
470×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	272
1	57	268
2	122	250
3	370	213
4	1168	203
5	4111	203
6	7852	203

Stop Event

1×	node limit

Counts

114 → 107

Calls

Call 1

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

Outputs
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
(+.f64 (.f64 -1/2 x) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 -1/2 x (.f64 -1/6 (.f64 x x)))
(.f64 x (+.f64 -1/2 (.f64 x -1/6)))
(*.f64 x (fma.f64 x -1/6 -1/2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x)
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/6))))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x))) x)
(-.f64 (.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) x)
(-.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x)
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/6))))
(.f64 (.f64 x x) (fma.f64 x -1/6 -1/2))
(.f64 x (.f64 x (fma.f64 x -1/6 -1/2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (.f64 -1/2 (.f64 x x))) x)
(-.f64 (.f64 x (.f64 x (+.f64 -1/2 (*.f64 x -1/6)))) x)
(-.f64 (.f64 (.f64 x x) (fma.f64 x -1/6 -1/2)) x)
(*.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1))
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 -1/2 x) -1) x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -1/6 -1/2) -1) x)
(fma.f64 x (fma.f64 x (fma.f64 x -1/6 -1/2) -1) -1)

eval47.0ms (0.5%)

Compiler: Compiled 2058 to 1388 computations (32.6% saved)

prune20.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	128	8	136

Error

Counts

136 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
✓	62.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
	1.7b	-1
✓	0.7b	(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.0b	(-.f64 -1 x)
✓	0.7b	(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
✓	0.7b	(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))

Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes20.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

3 calls:

10.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`
0.0b	1	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`

Compiler

Compiled 134 to 92 computations (31.3% saved)

regimes11.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
(-.f64 (fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) -1/2) -1) x)
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log1p.f64 x))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 99 to 66 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 -1 x)
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(+.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)

Outputs
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 45 to 32 computations (28.9% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.7b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`distribute-rgt-neg-in_binary64`
32×	`cancel-sign-sub-inv_binary64`
22×	`distribute-lft-neg-in_binary64`
20×	`distribute-lft-neg-out_binary64`
16×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	45
1	33	45
2	51	45
3	80	45
4	111	45
5	145	45
6	176	45
7	210	45
8	235	45
9	253	45
10	257	45

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (.f64 x (.f64 x -1/2))))
(-.f64 -1 (+.f64 x (.f64 x (.f64 x 1/2))))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 -1 x)
-1

Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`sub-neg_binary64`
6×	`fma-def_binary64`
5×	`+-commutative_binary64`
4×	`associate-+l-_binary64`
3×	`associate--r+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	14	10
2	19	10
3	25	10
4	33	10
5	43	10
6	57	10
7	73	10
8	77	10

Stop Event

1×

saturated

Compiler

Compiled 34 to 26 computations (23.5% saved)

end36.0ms (0.4%)

Compiler: Compiled 32 to 22 computations (31.3% saved)

Iter	Nodes	Cost
0	18	45
1	33	45
2	51	45
3	80	45
4	111	45
5	145	45
6	176	45
7	210	45
8	235	45
9	253	45
10	257	45

Iter	Nodes	Cost
0	18	45
1	33	45
2	51	45
3	80	45
4	111	45
5	145	45
6	176	45
7	210	45
8	235	45
9	253	45
10	257	45

Details

analyze728.0ms (8.3%)

sample6.1s (69.3%)

preprocess15.0ms (0.2%)

simplify10.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.2%)

series8.0ms (0.1%)

rewrite70.0ms (0.8%)

simplify62.0ms (0.7%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite43.0ms (0.5%)

simplify69.0ms (0.8%)

eval99.0ms (1.1%)

prune30.0ms (0.3%)

localize3.0ms (0%)

localize16.0ms (0.2%)

localize25.0ms (0.3%)

series9.0ms (0.1%)

rewrite84.0ms (1%)

simplify60.0ms (0.7%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite53.0ms (0.6%)

simplify97.0ms (1.1%)

eval106.0ms (1.2%)

prune34.0ms (0.4%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.7%)

simplify98.0ms (1.1%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite69.0ms (0.8%)

simplify72.0ms (0.8%)

localize18.0ms (0.2%)

series2.0ms (0%)

rewrite67.0ms (0.8%)

simplify54.0ms (0.6%)

eval181.0ms (2.1%)

prune54.0ms (0.6%)

localize11.0ms (0.1%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite69.0ms (0.8%)

simplify73.0ms (0.8%)

eval47.0ms (0.5%)

prune20.0ms (0.2%)

regimes20.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify11.0ms (0.1%)

soundness11.0ms (0.1%)

end36.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	18	45
1	33	45
2	51	45
3	80	45
4	111	45
5	145	45
6	176	45
7	210	45
8	235	45
9	253	45
10	257	45