Details

analyze499.0ms (3.7%)

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)

sample7.0s (51.4%)

Results

4.7s	4080×	body	1024	valid
1.3s	2123×	body	512	valid
616.0ms	387×	body	2048	valid
337.0ms	1666×	body	256	valid

preprocess23.0ms (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)

simplify13.0ms (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
▶	61.2b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	5.9b	(log.f64 (+.f64 1 x))
✓	5.9b	(log.f64 (-.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series14.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	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))

rewrite66.0ms (0.5%)

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 (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 exp.f64 (log.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 +.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 exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.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 exp.f64 (log.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))))))))

Outputs

((#(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 exp.f64 (log.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 +.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 exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.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 exp.f64 (log.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))))))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
543×	`associate-/r*_binary64`
337×	`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
(*.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))))
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))))
-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
(*.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))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(+.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 -1/3 (pow.f64 x 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 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) (neg.f64 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 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (/.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 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.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 (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 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 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 1/2 (*.f64 x x)))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 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 1/2 (*.f64 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)))
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 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 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 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) 1/3 (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 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 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 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 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 1/2 (*.f64 x x))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 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 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.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 1/2 (*.f64 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 1/2 (*.f64 x x))))
-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))
(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 (-.f64 (.f64 (pow.f64 x 3) -5/12) 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 1 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (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 (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 2 (.f64 x (neg.f64 (log.f64 x)))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (.f64 (.f64 x x) (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2)))))))
(+.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 -2 (log.f64 x)) x) (+.f64 (-.f64 (-.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (.f64 x x)) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (.f64 x x) (.f64 (log.f64 x) (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x))))) (/.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))))
(-.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 2 (.f64 x (neg.f64 (log.f64 x)))) (-.f64 (+.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 1/3 (.f64 (pow.f64 x 3) (neg.f64 (log.f64 x))))) (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (.f64 (.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (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 2 (.f64 x (neg.f64 (log.f64 x)))) (-.f64 (-.f64 (+.f64 (/.f64 1/2 (.f64 (.f64 x x) (neg.f64 (log.f64 x)))) (/.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)))) (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 (.f64 -1/2 (+.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))))))))))
(+.f64 (/.f64 (/.f64 -2 (log.f64 x)) x) (+.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (.f64 x x)) (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 -1/3 (log.f64 x)) (pow.f64 x 3)) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (.f64 x x)))))) (+.f64 (/.f64 (/.f64 (log.f64 -1) x) (.f64 (log.f64 x) (log.f64 x))) (.f64 (/.f64 1 (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 -2 (log.f64 x)) (/.f64 (log.f64 -1) (.f64 (log.f64 x) (log.f64 x)))) (.f64 x x)) (/.f64 (+.f64 (/.f64 -1/2 (log.f64 x)) (-.f64 (-.f64 (/.f64 2 (.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 (/.f64 (/.f64 -1/2 (log.f64 x)) (log.f64 x)) (+.f64 (log.f64 x) (log.f64 -1))))) (pow.f64 x 3))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.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))))
(+.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)))
(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 (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 -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))))
(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 (/.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))))) x)) x) (/.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 -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))))))
(-.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))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 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))
0.0ms	x	@	inf	(log1p.f64 (neg.f64 x))
0.0ms	x	@	-inf	(log1p.f64 (neg.f64 x))

rewrite81.0ms (0.6%)

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	15
1	124	11
2	1717	11

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

566×	`fma-def_binary64`
542×	`associate-/r*_binary64`
339×	`associate-+l+_binary64`
331×	`associate--r+_binary64`
321×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1427
1	489	1304
2	1745	1207

Stop Event

1×	node limit

Counts

69 → 92

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))))))
(*.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))))

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

eval300.0ms (2.2%)

Compiler: Compiled 5598 to 3975 computations (29% saved)

prune52.0ms (0.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	226	7	233
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	227	8	235

Error

Counts

235 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
	40.5b	(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
▶	1.0b	(-.f64 -1 x)
▶	59.9b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
	1.5b	-1
▶	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
▶	0.8b	(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 155 to 113 computations (27.1% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 29 computations (43.1% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
2.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
1.0ms	x	@	inf	(*.f64 -1/3 x)
1.0ms	x	@	0	(*.f64 -1/3 x)
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
578×	`fma-def_binary64`
339×	`pow2_binary64`
308×	`fma-neg_binary64`
234×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	260	34
2	3852	34

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

Outputs

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

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

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

711×	`times-frac_binary64`
514×	`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	3686	629

Stop Event

1×	node limit

Counts

156 → 157

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))))
(+.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))))))
(*.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)))

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

localize5.0ms (0%)

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

localize9.0ms (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)

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

rewrite55.0ms (0.4%)

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 exp.f64 (log.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))))))))

simplify93.0ms (0.7%)

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)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
	0.4b	(*.f64 -1/3 x)
	5.9b	(log.f64 (+.f64 1 x))

Compiler

Compiled 59 to 37 computations (37.3% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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	@	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 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
0.0ms	x	@	0	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))

rewrite115.0ms (0.8%)

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	34
1	299	30
2	4341	30

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

711×	`times-frac_binary64`
514×	`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	3686	629

Stop Event

1×	node limit

Counts

138 → 139

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))))
(+.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))))))
(*.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)))

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

localize47.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
✓	0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
✓	3.0b	(log.f64 (-.f64 1 (*.f64 x x)))
	5.9b	(log.f64 (-.f64 1 x))

Compiler

Compiled 54 to 27 computations (50% saved)

series23.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
6.0ms	x	@	-inf	(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
2.0ms	x	@	0	(log.f64 (-.f64 1 (*.f64 x x)))
2.0ms	x	@	-inf	(log.f64 (-.f64 1 (*.f64 x x)))
1.0ms	x	@	inf	(log.f64 (-.f64 1 (*.f64 x x)))

rewrite129.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`prod-diff_binary64`
446×	`log-prod_binary64`
346×	`fma-def_binary64`
244×	`pow2_binary64`
168×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	268	17
2	3633	17

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs
(log.f64 (-.f64 1 (*.f64 x x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 1 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))

Outputs

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

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

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-def_binary64`
401×	`associate-+l+_binary64`
353×	`associate-/r*_binary64`
328×	`times-frac_binary64`
232×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	172	2241
1	572	1777
2	2012	1458

Stop Event

1×	node limit

Counts

219 → 253

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 8)))))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
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 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (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 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (/.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x))))
(+.f64 (/.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x)))))
(+.f64 (/.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (.f64 1/3 (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))))) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)) (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))))))

Outputs
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (.f64 -1 (pow.f64 x 2)))
(fma.f64 -1/2 (pow.f64 x 4) (neg.f64 (*.f64 x x)))
(fma.f64 -1/2 (pow.f64 x 4) (*.f64 x (neg.f64 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (neg.f64 (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (pow.f64 x 4) (.f64 -1/3 (pow.f64 x 6))) (.f64 x x))
(-.f64 (fma.f64 -1/3 (pow.f64 x 6) (.f64 -1/2 (pow.f64 x 4))) (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 4)) (+.f64 (.f64 -1/3 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (.f64 x x) (.f64 -1/4 (pow.f64 x 8)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1/4 (pow.f64 x 8) (*.f64 x (neg.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (fma.f64 -1/4 (pow.f64 x 8) (.f64 -1/3 (pow.f64 x 6))) (.f64 x x)))
(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (*.f64 -2 (neg.f64 (log.f64 x))))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 -1) (*.f64 2 (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 1 x)))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (/.f64 1 (.f64 x x)))
(+.f64 (log.f64 -1) (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (log.f64 x)) (/.f64 -1 (.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (.f64 -2 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/2 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 2 (log.f64 x)) (+.f64 (+.f64 (log.f64 -1) (/.f64 -1 (.f64 x x))) (/.f64 -1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -2 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4))) (/.f64 1/3 (pow.f64 x 6))))
(+.f64 (+.f64 (+.f64 (log.f64 -1) (.f64 2 (log.f64 x))) (/.f64 -1/2 (pow.f64 x 4))) (+.f64 (/.f64 -1 (.f64 x x)) (/.f64 -1/3 (pow.f64 x 6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 (*.f64 x x)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 -1 (*.f64 x x)))
(+.f64 (log.f64 -1) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(+.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1/2 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1/2 (pow.f64 x 4)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (*.f64 x x) -1/2 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 (*.f64 x x) -1/2 (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 (*.f64 x x) -1/2 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/4 x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 4) -1/4 (fma.f64 1/3 (pow.f64 x 3) x)))
(-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (/.f64 1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 1 x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x)) (neg.f64 (log.f64 (/.f64 -1 x))))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1) (/.f64 1 x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1) (/.f64 1 x)) (log.f64 (/.f64 -1 x)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (/.f64 1/2 (*.f64 x x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x)))))
-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 (*.f64 x x) -1/2 (fma.f64 -1 x -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)
(+.f64 -1 (fma.f64 (.f64 x x) -1/2 (-.f64 (.f64 (pow.f64 x 3) -5/12) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 (pow.f64 x 3) -5/12 (-.f64 -1 x)))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (neg.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x))
(+.f64 1 (/.f64 (log.f64 -1) (log.f64 x)))
(+.f64 (/.f64 (log.f64 -1) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))) (+.f64 (/.f64 (log.f64 -1) (pow.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) (/.f64 1 (-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (*.f64 -1 (log.f64 (/.f64 1 x))))))) x))))
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(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) x)) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))))) (.f64 x x)))
(-.f64 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) x) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (-.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))) (*.f64 x x))))
(+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))))) (*.f64 x x))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))))) (.f64 x x))) (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (-.f64 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3)) (/.f64 (*.f64 1/3 (log.f64 (/.f64 -1 x))) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))) (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) x))
(-.f64 (-.f64 (/.f64 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (/.f64 -1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) x) (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (-.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))) (.f64 x x)))) (/.f64 (+.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3))) (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 1/3 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))))) (-.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 4)))) (pow.f64 x 3)))

eval379.0ms (2.8%)

Compiler: Compiled 17434 to 10586 computations (39.3% saved)

prune476.0ms (3.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	679	5	684
Fresh	1	1	2
Picked	1	0	1
Done	1	4	5
Total	682	10	692

Error

Counts

692 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
▶	40.5b	(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
▶	0.4b	(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
▶	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
▶	0.8b	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
	1.5b	-1
✓	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
▶	0.8b	(-.f64 (fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) -1) x)
✓	1.0b	(-.f64 -1 x)

Compiler

Compiled 183 to 130 computations (29% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (neg.f64 x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
	0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x)))
	3.0b	(log.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 46 to 19 computations (58.7% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))

2.0ms

-inf

(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))

1.0ms

(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))

rewrite67.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`pow1_binary64`
862×	`add-log-exp_binary64`
860×	`expm1-log1p-u_binary64`
859×	`log1p-expm1-u_binary64`
112×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	218	8
2	3192	8

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))

Outputs

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

599×	`sub-neg_binary64`
472×	`fma-def_binary64`
417×	`unsub-neg_binary64`
320×	`times-frac_binary64`
313×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1694
1	372	1283
2	1369	992
3	6367	939

Stop Event

1×	node limit

Counts

47 → 58

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

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

localize22.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`prod-diff_binary64`
424×	`log-prod_binary64`
387×	`fma-def_binary64`
283×	`pow-prod-down_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	181	11
2	2467	11

Stop Event

1×	node limit

Counts

1 → 145

Calls

Call 1

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

Outputs

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

simplify111.0ms (0.8%)

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

157 → 154

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)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

series11.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(-.f64 (fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) -1) x)
2.0ms	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 -1/6)
1.0ms	x	@	inf	(*.f64 x -1/6)

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`prod-diff_binary64`
508×	`log-prod_binary64`
355×	`fma-def_binary64`
337×	`pow-prod-down_binary64`
292×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	225	27
2	3072	27

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

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simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	320
1	59	316
2	122	298
3	353	261
4	1154	251
5	4077	251
6	7818	251

Stop Event

1×	node limit

Counts

219 → 202

Calls

Call 1

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

localize55.0ms (0.4%)

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) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
	0.0b	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x)))
	0.4b	(*.f64 -1/3 x)
✓	5.9b	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

Compiler

Compiled 66 to 40 computations (39.4% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
1.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
1.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
1.0ms	x	@	-inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
1.0ms	x	@	inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`fma-def_binary64`
400×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`
224×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	334	22
2	5120	22

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) -1) 1)))) (#(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 *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 x)))) (/.f64 1 (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 x)))) (+.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 x))))) (neg.f64 (+.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 x) -1) 3)) (+.f64 1 (fma.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1) (neg.f64 (+.f64 (log1p.f64 x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log1p.f64 x) -1) (+.f64 (log1p.f64 x) -1))) (-.f64 1 (+.f64 (log1p.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(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 pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (log1p.f64 x)) (hypot.f64 (log1p.f64 x) (sqrt.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log1p.f64 x)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2)) (cbrt.f64 (+.f64 1 (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) (sqrt.f64 (+.f64 1 (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 x)) 2) (+.f64 (log1p.f64 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 x)))) (/.f64 1 (+.f64 (log1p.f64 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (-.f64 1 (log1p.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (log1p.f64 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simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-neg_binary64`
411×	`fma-def_binary64`
370×	`distribute-rgt-in_binary64`
366×	`sub-neg_binary64`
341×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	935
1	341	899
2	1032	836
3	4514	651

Stop Event

1×	node limit

Counts

141 → 155

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
✓	0.0b	(pow.f64 (log1p.f64 (neg.f64 x)) 3)
✓	0.0b	(pow.f64 (log1p.f64 x) 3)
✓	40.3b	(/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3))

Compiler

Compiled 40 to 20 computations (50% saved)

series23.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3))
7.0ms	x	@	inf	(/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3))
1.0ms	x	@	inf	(pow.f64 (log1p.f64 (neg.f64 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (log1p.f64 x) 3)
1.0ms	x	@	-inf	(pow.f64 (log1p.f64 (neg.f64 x)) 3)

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
654×	`add-log-exp_binary64`
654×	`expm1-log1p-u_binary64`
652×	`log1p-expm1-u_binary64`
637×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	219	31
2	2714	31

Stop Event

1×	node limit

Counts

4 → 115

Calls

Call 1

Inputs
(/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3))
(pow.f64 (log1p.f64 x) 3)
(pow.f64 (log1p.f64 (neg.f64 x)) 3)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log1p.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 2) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 x) 3/2) (pow.f64 (log1p.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) 3) (pow.f64 (sqrt.f64 (log1p.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 3) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log1p.f64 x) 2) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log1p.f64 x) 2) 1) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log1p.f64 x) 2) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 x) 3)))))))
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simplify592.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
507×	`fma-neg_binary64`
419×	`associate-+r+_binary64`
369×	`associate-/r*_binary64`
367×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	465	5936
1	1700	5213
2	7733	5211

Stop Event

1×	node limit

Counts

163 → 188

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -3 x) 1)
(-.f64 (+.f64 (.f64 -3 x) (.f64 -9/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (.f64 -21/4 (pow.f64 x 3)) (+.f64 (.f64 -3 x) (*.f64 -9/2 (pow.f64 x 2)))) 1)
(.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 3) (pow.f64 (log.f64 (/.f64 1 x)) 3)))
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(+.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))))
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Outputs
-1
(-.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x -1)
(-.f64 (+.f64 (.f64 -3 x) (.f64 -9/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -3 x (.f64 -9/2 (.f64 x x))) -1)
(fma.f64 -3 x (fma.f64 -9/2 (*.f64 x x) -1))
(fma.f64 -3 x (fma.f64 x (*.f64 x -9/2) -1))
(-.f64 (+.f64 (.f64 -21/4 (pow.f64 x 3)) (+.f64 (.f64 -3 x) (*.f64 -9/2 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -21/4 (pow.f64 x 3) (fma.f64 -3 x (.f64 -9/2 (.f64 x x)))) -1)
(fma.f64 -21/4 (pow.f64 x 3) (fma.f64 -3 x (fma.f64 -9/2 (*.f64 x x) -1)))
(fma.f64 -21/4 (pow.f64 x 3) (fma.f64 -3 x (fma.f64 x (*.f64 x -9/2) -1)))
(.f64 -1 (/.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) 3) (pow.f64 (log.f64 (/.f64 1 x)) 3)))
(neg.f64 (/.f64 (pow.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)))
(/.f64 (neg.f64 (pow.f64 (+.f64 (log.f64 x) (log.f64 -1)) 3)) (pow.f64 (neg.f64 (log.f64 x)) 3))
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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))) (.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))))))
(-.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 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) 1/2 (-.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)))

eval719.0ms (5.3%)

Compiler: Compiled 30929 to 20063 computations (35.1% saved)

prune190.0ms (1.4%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1099	2	1101
Fresh	1	0	1
Picked	0	1	1
Done	0	8	8
Total	1100	11	1111

Error

Counts

1111 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
✓	40.5b	(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
✓	0.4b	(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
✓	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
✓	0.8b	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	1.5b	(cbrt.f64 -1)
✓	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
▶	0.8b	(+.f64 (.f64 x (.f64 x (fma.f64 x -1/6 -1/2))) (-.f64 -1 x))
✓	0.8b	(-.f64 (fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) -1) x)
✓	1.0b	(-.f64 -1 x)

Compiler

Compiled 128 to 91 computations (28.9% saved)

localize5.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 26 computations (31.6% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite554.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
422×	`fma-def_binary64`
371×	`exp-prod_binary64`
345×	`pow-prod-down_binary64`
283×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	223	34
2	2966	34

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs

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

simplify299.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

824×	`distribute-rgt-neg-in_binary64`
715×	`distribute-lft-neg-in_binary64`
560×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
471×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	419
1	57	415
2	122	388
3	370	333
4	1167	323
5	4102	323
6	7841	323

Stop Event

1×	node limit

Counts

175 → 158

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

eval99.0ms (0.7%)

Compiler: Compiled 2823 to 1936 computations (31.4% saved)

prune42.0ms (0.3%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	1	0	1
Done	0	10	10
Total	157	12	169

Error

Counts

169 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x) (log1p.f64 x))
✓	40.5b	(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 3) (pow.f64 (log1p.f64 x) 3)))
✓	0.4b	(/.f64 (log1p.f64 (neg.f64 x)) (-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log1p.f64 (neg.f64 x))))
✓	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (-.f64 (+.f64 1 (log1p.f64 x)) 1))
✓	1.0b	(-.f64 -1 x)
	0.8b	(-.f64 -1 (-.f64 x (.f64 (fma.f64 x -1/6 -1/2) (.f64 x x))))
✓	0.8b	(-.f64 (+.f64 (.f64 x (.f64 x -1/2)) -1) x)
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.5b	(cbrt.f64 -1)
	0.8b	(+.f64 (.f64 x (+.f64 (.f64 (.f64 x -1/6) x) (.f64 -1/2 x))) (-.f64 -1 x))
✓	62.5b	(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -1/3 x))) x) (log.f64 (+.f64 1 x)))
✓	0.8b	(-.f64 (fma.f64 x (.f64 x (+.f64 -1/2 (.f64 x -1/6))) -1) x)

Compiler

Compiled 144 to 102 computations (29.2% saved)

regimes24.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
4.0ms	(/.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 201 to 127 computations (36.8% saved)

regimes13.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 126 to 82 computations (34.9% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 42 to 29 computations (31% saved)

regimes7.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(cbrt.f64 -1)
-1
-1

Outputs
(cbrt.f64 -1)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.5b	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`cancel-sign-sub-inv_binary64`
52×	`distribute-rgt-neg-in_binary64`
40×	`distribute-lft-neg-out_binary64`
33×	`distribute-rgt-neg-out_binary64`
32×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	70
1	47	70
2	68	70
3	95	70
4	127	70
5	155	70
6	193	70
7	289	70
8	362	70
9	421	70
10	449	70

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 55 to 40 computations (27.3% saved)

soundness10.0ms (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)

end48.0ms (0.4%)

Compiler: Compiled 49 to 34 computations (30.6% saved)

Iter	Nodes	Cost
0	26	70
1	47	70
2	68	70
3	95	70
4	127	70
5	155	70
6	193	70
7	289	70
8	362	70
9	421	70
10	449	70

Iter	Nodes	Cost
0	26	70
1	47	70
2	68	70
3	95	70
4	127	70
5	155	70
6	193	70
7	289	70
8	362	70
9	421	70
10	449	70

Details

analyze499.0ms (3.7%)

sample7.0s (51.4%)

preprocess23.0ms (0.2%)

simplify13.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series14.0ms (0.1%)

rewrite66.0ms (0.5%)

simplify79.0ms (0.6%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite81.0ms (0.6%)

simplify52.0ms (0.4%)

eval300.0ms (2.2%)

prune52.0ms (0.4%)

localize20.0ms (0.1%)

series9.0ms (0.1%)

rewrite95.0ms (0.7%)

simplify71.0ms (0.5%)

localize5.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite55.0ms (0.4%)

simplify93.0ms (0.7%)

localize42.0ms (0.3%)

series5.0ms (0%)

rewrite115.0ms (0.8%)

simplify88.0ms (0.6%)

localize47.0ms (0.3%)

series23.0ms (0.2%)

rewrite129.0ms (0.9%)

simplify75.0ms (0.5%)

eval379.0ms (2.8%)

prune476.0ms (3.5%)

localize43.0ms (0.3%)

series4.0ms (0%)

rewrite67.0ms (0.5%)

simplify96.0ms (0.7%)

localize22.0ms (0.2%)

series2.0ms (0%)

rewrite87.0ms (0.6%)

simplify111.0ms (0.8%)

localize31.0ms (0.2%)

series11.0ms (0.1%)

rewrite96.0ms (0.7%)

simplify89.0ms (0.7%)

localize55.0ms (0.4%)

series7.0ms (0%)

rewrite96.0ms (0.7%)

simplify66.0ms (0.5%)

localize20.0ms (0.1%)

series23.0ms (0.2%)

rewrite79.0ms (0.6%)

simplify592.0ms (4.3%)

eval719.0ms (5.3%)

prune190.0ms (1.4%)

localize5.0ms (0%)

localize31.0ms (0.2%)

series7.0ms (0%)

rewrite554.0ms (4.1%)

simplify299.0ms (2.2%)

eval99.0ms (0.7%)

prune42.0ms (0.3%)

regimes24.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

simplify14.0ms (0.1%)

soundness10.0ms (0.1%)

end48.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	26	70
1	47	70
2	68	70
3	95	70
4	127	70
5	155	70
6	193	70
7	289	70
8	362	70
9	421	70
10	449	70