Details

analyze463.0ms (5.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
6.3%	3.1%	46.8%	50%	0%	0%	0%	5
9.4%	4.7%	45.3%	50%	0%	0%	0%	6
10.9%	5.5%	44.5%	50%	0%	0%	0%	7
11.7%	5.9%	44.1%	50%	0%	0%	0%	8
12.1%	6%	43.9%	50%	0%	0%	0%	9
12.3%	6.1%	43.8%	50%	0%	0%	0%	10
12.4%	6.2%	43.8%	50%	0%	0%	0%	11
12.5%	6.2%	43.7%	50%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.8s (64.4%)

Results

3.9s	4088×	body	1024	valid
1.1s	2117×	body	512	valid
496.0ms	395×	body	2048	valid
295.0ms	1656×	body	256	valid

Bogosity

preprocess16.0ms (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)

simplify8.0ms (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 → 3

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 23 to 16 computations (30.4% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize12.0ms (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)))
✓	4.2b	(log.f64 (+.f64 1 x))
✓	4.2b	(log.f64 (-.f64 1 x))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	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))
0.0ms	x	@	-inf	(log.f64 (-.f64 1 x))

rewrite51.0ms (0.6%)

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

Outputs

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

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

369×	`distribute-rgt-in_binary64`
335×	`fma-neg_binary64`
285×	`log-prod_binary64`
241×	`fma-def_binary64`
228×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	2407
1	881	2154
2	3695	1987

Stop Event

1×	node limit

Counts

107 → 205

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

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

rewrite39.0ms (0.4%)

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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))
((#(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 log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))))))

((#(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)))))))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-/r*_binary64`
607×	`fma-def_binary64`
478×	`associate-/l*_binary64`
435×	`associate-l_binary64`
211×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	1592
1	694	1424
2	2361	1282

Stop Event

1×	node limit

Counts

69 → 132

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

eval164.0ms (1.8%)

Compiler: Compiled 9362 to 6451 computations (31.1% saved)

prune43.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	332	5	337
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	332	7	339

Error

Counts

339 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶	0.8b	(-.f64 -1 x)
▶	0.0b	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
▶	0.4b	(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
▶	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
	1.7b	-1

Compiler

Compiled 57 to 44 computations (22.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (neg.f64 x))
✓	0.0b	(/.f64 1 (log1p.f64 x))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
502×	`expm1-log1p-u_binary64`
501×	`add-log-exp_binary64`
500×	`log1p-expm1-u_binary64`
490×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	156	14
2	1927	14

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-def_binary64`
633×	`times-frac_binary64`
406×	`associate-/l*_binary64`
303×	`unswap-sqr_binary64`
234×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2089
1	805	1884
2	2635	1771

Stop Event

1×	node limit

Counts

63 → 125

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)))
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(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 -1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/12 x) (+.f64 (.f64 1/24 (pow.f64 x 2)) (/.f64 1 x))))
(/.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))) (.f64 1/2 (/.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 (pow.f64 (log.f64 (/.f64 1 x)) 2))) (/.f64 1 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.f64 (/.f64 1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 2))))))))
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
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(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) -1) (neg.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (/.f64 1 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(pow.f64 (log1p.f64 x) -1)
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 x))))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 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) (-.f64 (.f64 -5/12 (pow.f64 x 3)) 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 1 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
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(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(-.f64 (+.f64 1 (/.f64 1 (log1p.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 1 (/.f64 1 (log1p.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (/.f64 1 (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) -2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) -1/2) (pow.f64 (log1p.f64 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) -1) (pow.f64 (sqrt.f64 (log1p.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (log1p.f64 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (/.f64 1 (log1p.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (log1p.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(pow.f64 (pow.f64 (log1p.f64 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(log.f64 (exp.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (log1p.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))
(exp.f64 (neg.f64 (log.f64 (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (log1p.f64 x)) 1))
(+.f64 (/.f64 1 (log1p.f64 x)) 0)
(/.f64 1 (log1p.f64 x))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x)
✓	0.0b	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x)))
✓	0.2b	(*.f64 -5/12 x)

Compiler

Compiled 49 to 30 computations (38.8% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x)))
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x)))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x)))
0.0ms	x	@	0	(*.f64 -5/12 x)
0.0ms	x	@	inf	(*.f64 -5/12 x)

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`fma-def_binary64`
501×	`log-prod_binary64`
362×	`exp-prod_binary64`
350×	`pow-prod-down_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	212	29
2	3033	29

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 25/144) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -5/12 x))) 2)) (cbrt.f64 (log.f64 (*.f64 -5/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -5/12 x)))) (sqrt.f64 (log.f64 (*.f64 -5/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 25/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -5/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -5/12 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -5/12 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -5/12 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -5/12 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -5/12 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -5/12 x)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (*.f64 x x)) (fma.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 25/144)) (*.f64 x x)) (+.f64 -1/2 (*.f64 5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2)))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 -5/12 x -1/2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 -5/12 x)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -5/12 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 x) x (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 -5/12 x -1/2))) 2) (cbrt.f64 (fma.f64 -5/12 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 -5/12 x -1/2))) 2) (cbrt.f64 (fma.f64 -5/12 x -1/2)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -5/12 x -1/2) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 -5/12 x -1/2) (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))))))

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

517×	`fma-neg_binary64`
477×	`unswap-sqr_binary64`
361×	`distribute-rgt-neg-out_binary64`
323×	`distribute-lft-neg-out_binary64`
300×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	455	4558
1	1105	3775
2	3270	3772

Stop Event

1×	node limit

Counts

238 → 285

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (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 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 0 (*.f64 -5/12 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)
(pow.f64 (*.f64 -5/12 x) 1)
(pow.f64 (.f64 (.f64 x x) 25/144) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 -5/12 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -5/12 x))) 2)) (cbrt.f64 (log.f64 (.f64 -5/12 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -5/12 x)))) (sqrt.f64 (log.f64 (.f64 -5/12 x))))
(sqrt.f64 (.f64 (.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -5/12 x)))
(log1p.f64 (expm1.f64 (*.f64 -5/12 x)))
(exp.f64 (log.f64 (*.f64 -5/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 -5/12 x)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -5/12 x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -5/12 x))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -5/12 x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -5/12 x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -5/12 x)) 3) 1/3))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(+.f64 0 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) 1) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (fma.f64 -5/12 x -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) (fma.f64 -5/12 x -1/2)))))
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(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (.f64 x x)) -1/2) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)) (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (*.f64 x (fma.f64 -5/12 x -1/2))) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 x (fma.f64 -5/12 x -1/2))) (.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2) (.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 x x)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) 2) (.f64 (cbrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 x x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (neg.f64 x))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(fma.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 -5/12 x -1/2))) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x (fma.f64 -5/12 x -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 (sqrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 (sqrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 x x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 (sqrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 x x)) (*.f64 (neg.f64 x) 1))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) x) (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 6) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) x) (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4) (.f64 x x)) (/.f64 1 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
(fma.f64 (-.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4) (.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) x)) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x (fma.f64 -5/12 x -1/2)) x (neg.f64 x))
(fma.f64 (.f64 x (fma.f64 -5/12 x -1/2)) x (.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (.f64 x -1/2))) 2) (cbrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (sqrt.f64 (.f64 x (.f64 x -1/2))) (sqrt.f64 (.f64 x (.f64 x -1/2))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 -1 x (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 x)) (-.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
(fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)) (sqrt.f64 x)) (-.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 (.f64 -1/2 x) x (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (fma.f64 -5/12 x -1/2))) 2) (cbrt.f64 (fma.f64 -5/12 x -1/2)) (neg.f64 x))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 (fma.f64 -5/12 x -1/2))) 2) (cbrt.f64 (fma.f64 -5/12 x -1/2)) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (neg.f64 x))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 (.f64 (fma.f64 -5/12 x -1/2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))
(fma.f64 (.f64 (fma.f64 -5/12 x -1/2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 -1/2 x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 x (.f64 -1/2 x)) x)
(-.f64 (.f64 -1/2 (.f64 x x)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -5/12 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 0 (*.f64 -5/12 x))
(*.f64 x -5/12)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(*.f64 x -5/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 x))) 1)
(*.f64 x -5/12)
(pow.f64 (*.f64 -5/12 x) 1)
(*.f64 x -5/12)
(pow.f64 (.f64 (.f64 x x) 25/144) 1/2)
(sqrt.f64 (.f64 x (.f64 x 25/144)))
(pow.f64 (cbrt.f64 (*.f64 -5/12 x)) 3)
(*.f64 x -5/12)
(pow.f64 (sqrt.f64 (*.f64 -5/12 x)) 2)
(*.f64 x -5/12)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(*.f64 x -5/12)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -5/12 x))) 2)) (cbrt.f64 (log.f64 (.f64 -5/12 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (.f64 x -5/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -5/12 x)))) (sqrt.f64 (log.f64 (.f64 -5/12 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x -5/12)))) (sqrt.f64 (log.f64 (.f64 x -5/12))))
(sqrt.f64 (.f64 (.f64 x x) 25/144))
(sqrt.f64 (.f64 x (.f64 x 25/144)))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(*.f64 x -5/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 x))))
(*.f64 x -5/12)
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(*.f64 x -5/12)
(expm1.f64 (log1p.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(log1p.f64 (expm1.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(exp.f64 (log.f64 (*.f64 -5/12 x)))
(*.f64 x -5/12)
(exp.f64 (.f64 (log.f64 (.f64 -5/12 x)) 1))
(*.f64 x -5/12)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -5/12 x))) 3))
(*.f64 x -5/12)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -5/12 x))) 2))
(*.f64 x -5/12)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 -5/12 x))) 1/3))
(*.f64 x -5/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -5/12 x)) 1) 1))
(*.f64 x -5/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -5/12 x)) 3) 1/3))
(*.f64 x -5/12)
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 -5/12 (pow.f64 x 3)) (.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 0 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
(.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 (.f64 x (.f64 x -1/2)) 1) (.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -1/2 (.f64 x x) (.f64 -5/12 (pow.f64 x 3)))
(.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 -5/12 x -1/2) (neg.f64 x))))) (sqrt.f64 (log.f64 (fma.f64 (.f64 x x) (fma.f64 -5/12 x -1/2) (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))) (sqrt.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) 2))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 (*.f64 x (fma.f64 -5/12 x -1/2)) 1)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) (exp.f64 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))) (+.f64 1 (expm1.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) (exp.f64 (neg.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) 3))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)))) 1/3))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
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(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)))) 2))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
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(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 x (.f64 x -1/2) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 x x) -1/2 (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 x x) (fma.f64 -5/12 x -1/2) (.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 -1/2 (.f64 x x) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (fma.f64 -5/12 x -1/2) (*.f64 x x) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (fma.f64 -5/12 x -1/2) (.f64 x x) (.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 1 (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
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(+.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) (-.f64 x (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))) (*.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
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(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
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(+.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
(+.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) (-.f64 x (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (neg.f64 x) (.f64 x (.f64 x (fma.f64 -5/12 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 1 (.f64 x (.f64 x -1/2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
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(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x -1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x -1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (cbrt.f64 (.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))) (neg.f64 x))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x -1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (cbrt.f64 (.f64 x (.f64 x (fma.f64 -5/12 x -1/2)))) (.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 -5/12 x -1/2))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2)))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(-.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) (fma.f64 x -5/12 -1/2))) (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))) x)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 -5/12 x -1/2)) (neg.f64 x))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 (fma.f64 -5/12 x -1/2) (cbrt.f64 (*.f64 x x))) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) (cbrt.f64 (.f64 x x)))) x)
(-.f64 (.f64 x (.f64 (cbrt.f64 x) (.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (.f64 x x))))) x)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (.f64 x x)) (fma.f64 -5/12 x -1/2)) (.f64 (neg.f64 x) 1))
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(-.f64 (.f64 (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) (cbrt.f64 (.f64 x x)))) x)
(-.f64 (.f64 x (.f64 (cbrt.f64 x) (.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (.f64 x x))))) x)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (cbrt.f64 (.f64 x x)) -1/2) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (*.f64 x x))) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (.f64 x (.f64 -1/2 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 -5/12 x -1/2)) (neg.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (fma.f64 (.f64 x x) (fma.f64 -5/12 x -1/2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x))
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(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (neg.f64 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (fma.f64 -5/12 x -1/2)) (*.f64 (neg.f64 x) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(fma.f64 (.f64 (fma.f64 -5/12 x -1/2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (*.f64 x x)) (neg.f64 x))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 (fma.f64 -5/12 x -1/2) (cbrt.f64 (*.f64 x x))) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) (cbrt.f64 (.f64 x x)))) x)
(-.f64 (.f64 x (.f64 (cbrt.f64 x) (.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (.f64 x x))))) x)
(fma.f64 (.f64 (fma.f64 -5/12 x -1/2) (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (.f64 (neg.f64 x) 1))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 (fma.f64 -5/12 x -1/2) (cbrt.f64 (*.f64 x x))) (neg.f64 x))
(-.f64 (.f64 (cbrt.f64 x) (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) (cbrt.f64 (.f64 x x)))) x)
(-.f64 (.f64 x (.f64 (cbrt.f64 x) (.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (.f64 x x))))) x)
(fma.f64 (.f64 -1/2 (.f64 (cbrt.f64 x) x)) (cbrt.f64 (.f64 x x)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (.f64 x (cbrt.f64 x)) (.f64 -1/2 (cbrt.f64 (*.f64 x x))) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 (.f64 (.f64 -1/2 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (-.f64 (.f64 -5/12 (pow.f64 x 3)) x))
(fma.f64 (.f64 x (.f64 -1/2 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x)))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 34 to 12 computations (64.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
1.0ms	x	@	inf	(-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
1.0ms	x	@	-inf	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
1.0ms	x	@	inf	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
0.0ms	x	@	0	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))

rewrite106.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
736×	`add-log-exp_binary64`
736×	`expm1-log1p-u_binary64`
734×	`log1p-expm1-u_binary64`
723×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	198	19
2	2898	19

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs

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

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

simplify215.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

627×	`associate-/r*_binary64`
556×	`fma-def_binary64`
512×	`times-frac_binary64`
330×	`associate-/l*_binary64`
319×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	2532
1	1052	2317
2	2512	2126

Stop Event

1×	node limit

Counts

118 → 184

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))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 2)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 2)
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 1 (/.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 1 (+.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 1 (+.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 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 1)
(-.f64 (+.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))) 1)
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(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(.f64 (log1p.f64 x) (.f64 (/.f64 1 (log1p.f64 x)) 1))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
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(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
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(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
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(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
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(*.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 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))))
(*.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))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) (-.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1))) (+.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) (-.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2))))
(/.f64 1 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) (-.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2) (+.f64 (-.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))
(/.f64 -1 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2)) (+.f64 (-.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) (-.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2))) (neg.f64 (+.f64 (-.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))))
(/.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1) (neg.f64 (log1p.f64 x)))
(/.f64 (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (/.f64 (log1p.f64 x) 1) (log1p.f64 x))
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))) 1) (+.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2) 1) (-.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1))
(/.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 1)
(+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(+.f64 -1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 1 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1))
(*.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))
(*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) -1) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) 1) (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) -1) (/.f64 1 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) 1) (/.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) -1) (+.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) 1) (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) -1) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) (-.f64 1 (*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) -1) (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) -1) (-.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) -1)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) 1) (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2) -1)) (neg.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)) 2)
(pow.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1) 3))
(expm1.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)))
(fma.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(fma.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) -1)
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) -1)

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

localize2.0ms (0%)

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

eval934.0ms (10.3%)

Compiler: Compiled 23978 to 16484 computations (31.3% saved)

prune130.0ms (1.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	783	3	786
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	783	10	793

Error

Counts

793 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	0.8b	(-.f64 -1 x)
✓	0.0b	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
▶	0.9b	(+.f64 1 (-.f64 (-.f64 -1 x) 1))
✓	0.4b	(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
▶	0.6b	(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
▶	0.6b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.7b	-1

Compiler

Compiled 89 to 69 computations (22.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 (neg.f64 x))
✓	0.0b	(+.f64 (*.f64 -1/12 x) (/.f64 1 x))
✓	0.2b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
✓	0.3b	(*.f64 -1/12 x)

Compiler

Compiled 45 to 30 computations (33.3% saved)

series6.0ms (0.1%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 -1/12 x)
1.0ms	x	@	inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 -1/12 x)
0.0ms	x	@	-inf	(*.f64 -1/12 x)

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
376×	`fma-def_binary64`
360×	`pow-prod-down_binary64`
292×	`pow2_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	262	28
2	3504	28

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

Inputs
(*.f64 -1/12 x)
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 -1/12 x) (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/12 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/12 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 -1/12 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/12 x)) 1))))))

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simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

435×	`unswap-sqr_binary64`
368×	`associate-/r*_binary64`
237×	`cancel-sign-sub-inv_binary64`
204×	`fma-neg_binary64`
181×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	3079
1	890	2935
2	2968	2822

Stop Event

1×	node limit

Counts

191 → 282

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 -3/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 1/12 (.f64 -1/12 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x))))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (+.f64 (/.f64 (log.f64 -1) x) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (*.f64 11/24 (/.f64 1 x)))
(-.f64 (+.f64 1/12 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) (+.f64 (/.f64 (log.f64 -1) x) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x)) (.f64 -1/12 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)))))) (+.f64 (.f64 11/9 (/.f64 1 (pow.f64 x 2))) (.f64 11/24 (/.f64 1 x))))
(.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (*.f64 -1/2 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 1/12 (.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 1/12 (+.f64 (.f64 -1 (/.f64 (+.f64 11/24 (log.f64 (/.f64 -1 x))) x)) (.f64 -1/2 (log.f64 (/.f64 -1 x)))))) (*.f64 11/9 (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(*.f64 -1/12 x)
(*.f64 -1/12 x)
(+.f64 0 (*.f64 -1/12 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/12 x))) 1)
(pow.f64 (*.f64 -1/12 x) 1)
(pow.f64 (pow.f64 (*.f64 -1/12 x) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 -1/12 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 -1/12 x)) 2)
(pow.f64 (*.f64 -1/1728 (pow.f64 x 3)) 1/3)
(neg.f64 (*.f64 -1/12 x))
(sqrt.f64 (pow.f64 (*.f64 -1/12 x) 2))
(log.f64 (pow.f64 (exp.f64 -1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 -1/12 x)))))
(cbrt.f64 (*.f64 -1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 -1/12 x)))
(exp.f64 (log.f64 (*.f64 -1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 -1/12 x)) 1))
(+.f64 0 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 x)) (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(+.f64 (.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)) (.f64 1/2 (log1p.f64 x)))
(+.f64 (.f64 (fma.f64 -1/12 x 1/2) (log1p.f64 x)) (.f64 (/.f64 1 x) (log1p.f64 x)))
(+.f64 (.f64 (log1p.f64 x) 1/2) (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))) (.f64 (log1p.f64 x) 1/2))
(+.f64 (.f64 (log1p.f64 x) (fma.f64 -1/12 x 1/2)) (.f64 (log1p.f64 x) (/.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3)) (log1p.f64 x)) (fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (log1p.f64 x)) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (*.f64 (log1p.f64 x) (+.f64 1/8 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))) (fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (-.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1/2) 1/4))
(/.f64 (*.f64 (log1p.f64 x) (-.f64 1/4 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))) (-.f64 1/2 (fma.f64 -1/12 x (/.f64 1 x))))
(pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 2))
(log.f64 (pow.f64 (+.f64 x 1) (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 1 x) (fma.f64 -1/12 x 1/2)) (log1p.f64 x))) 1))
(fma.f64 1/2 (log1p.f64 x) (*.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) (log1p.f64 x) (*.f64 1/2 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1/2 (*.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x))))
(fma.f64 (log1p.f64 x) (fma.f64 -1/12 x (/.f64 1 x)) (*.f64 (log1p.f64 x) 1/2))
(fma.f64 (log1p.f64 x) (fma.f64 -1/12 x 1/2) (*.f64 (log1p.f64 x) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x 1/2) (log1p.f64 x) (*.f64 (/.f64 1 x) (log1p.f64 x)))
(-.f64 (*.f64 -1/12 x) (/.f64 1 x))
(-.f64 (/.f64 1 x) (*.f64 -1/12 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 -1/12 x) 2) (fma.f64 -1/12 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1)
(*.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) -1/12)))
(.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 -1/12 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12) (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 1 (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (fma.f64 -1/12 x (/.f64 1 x)))
(/.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12))
(/.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) 1/12)))
(/.f64 (neg.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)))
(/.f64 (-.f64 (.f64 -1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (-.f64 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)) -1/12))
(/.f64 (neg.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (neg.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 -1/12 x) 2)) (fma.f64 -1/12 x (/.f64 1 x)))
(pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) 2)
(pow.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12) (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/12 x (/.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (/.f64 (pow.f64 (exp.f64 -1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 -1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 -1/12) x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 -1/12) x)))
(log.f64 (/.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (*.f64 -1/12 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (*.f64 -1/12 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/12) x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 -1/12) x)))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 -1/12 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 -1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/12 x (/.f64 1 x))) 1))
(fma.f64 -1/12 x (/.f64 1 x))
(fma.f64 -1/12 x (neg.f64 (/.f64 1 x)))
(fma.f64 -1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 -1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 x -1/12 (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 -1/12 x) 1 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 x) 1 (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 x) 1 (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 x) 1 (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 -1/12 x) (/.f64 1 x))
(fma.f64 1 (*.f64 -1/12 x) (neg.f64 (/.f64 1 x)))
(fma.f64 1 (.f64 -1/12 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (.f64 -1/12 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 1 (fma.f64 -1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (*.f64 -1/12 x))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2) (/.f64 1 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/12 x (/.f64 1 x)) 2)) (cbrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 -1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (neg.f64 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (.f64 -1/12 x)) (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/12 x)) 2) (cbrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 -1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -1/12) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) -1/12) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 -1/12 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (neg.f64 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (.f64 -1/12 x)) (sqrt.f64 (.f64 -1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 -1 (/.f64 1 x) (*.f64 -1/12 x))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))

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)
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(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) -1/12)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (fma.f64 -1/1728 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 1/144 (*.f64 x x) (pow.f64 x -2)) 1/12)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) 1/12))) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (+.f64 1/12 (fma.f64 1/144 (.f64 x x) (pow.f64 x -2)))) (.f64 (/.f64 1 x) 0))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 -1/12 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 x -1/12))
(+.f64 (*.f64 x -1/12) (pow.f64 (/.f64 1 (cbrt.f64 x)) 3))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (.f64 (/.f64 1 x) 0))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (-.f64 (/.f64 1 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x))))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 -1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x -1/12)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1 x)))
(fma.f64 (fma.f64 (sqrt.f64 -1/12) (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (.f64 x -1/12)) (pow.f64 x -1/2)) (.f64 (/.f64 1 x) 0))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (.f64 -1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 x -1/12 (/.f64 1 x))
(fma.f64 (*.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 x)))
(fma.f64 x -1/12 (/.f64 -1 x))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x -1/12 (/.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(-.f64 (*.f64 x -1/12) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (.f64 -1/12 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x -1/12 (/.f64 -1 x))

localize14.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
766×	`add-log-exp_binary64`
763×	`log1p-expm1-u_binary64`
763×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	162	11
2	2339	11

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

791×	`times-frac_binary64`
443×	`fma-neg_binary64`
431×	`associate-/l*_binary64`
360×	`cancel-sign-sub-inv_binary64`
345×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1095
1	502	914
2	1954	890

Stop Event

1×	node limit

Counts

109 → 109

Calls

Call 1

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

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

eval172.0ms (1.9%)

Compiler: Compiled 8418 to 5964 computations (29.2% saved)

prune69.0ms (0.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	451	10	461

Error

Counts

461 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	0.8b	(-.f64 -1 x)
✓	0.0b	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
✓	0.9b	(+.f64 1 (-.f64 (-.f64 -1 x) 1))
✓	0.4b	(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
✓	0.6b	(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	0.6b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.7b	-1

Compiler

Compiled 89 to 69 computations (22.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	61.1b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
✓	0.8b	(-.f64 -1 x)
✓	0.0b	(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
✓	0.9b	(+.f64 1 (-.f64 (-.f64 -1 x) 1))
✓	0.4b	(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
✓	0.6b	(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
✓	0.2b	(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
✓	0.6b	(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
	1.7b	-1

Compiler

Compiled 89 to 69 computations (22.5% saved)

regimes12.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 1 (-.f64 (-.f64 -1 x) 1))
(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))

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

Calls

2 calls:

5.0ms	x
4.0ms	(/.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)))`

Compiler

Compiled 92 to 60 computations (34.8% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(+.f64 1 (-.f64 (-.f64 -1 x) 1))
(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
(.f64 (+.f64 1/2 (+.f64 (.f64 -1/12 x) (/.f64 1 x))) (log1p.f64 (neg.f64 x)))

Outputs
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-105.5%)

Threshold costs -0.9b (-105.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
4×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	47
1	33	47
2	38	47
3	39	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 -5/12 x))) x))
(+.f64 -1 (-.f64 (.f64 (.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))) x))
(+.f64 -1 (-.f64 (.f64 x (.f64 -1/2 x)) x))
(+.f64 -1 (-.f64 (.f64 x (.f64 x -1/2)) x))
(-.f64 -1 x)
-1

Compiler

Compiled 37 to 27 computations (27% saved)

soundness9.0ms (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)

end33.0ms (0.4%)

Compiler: Compiled 33 to 23 computations (30.3% saved)

Details

analyze463.0ms (5.1%)

sample5.8s (64.4%)

preprocess16.0ms (0.2%)

simplify8.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series9.0ms (0.1%)

rewrite51.0ms (0.6%)

simplify62.0ms (0.7%)

localize7.0ms (0.1%)

series3.0ms (0%)

rewrite39.0ms (0.4%)

simplify48.0ms (0.5%)

eval164.0ms (1.8%)

prune43.0ms (0.5%)

localize9.0ms (0.1%)

series5.0ms (0.1%)

rewrite38.0ms (0.4%)

simplify55.0ms (0.6%)

localize17.0ms (0.2%)

series5.0ms (0.1%)

rewrite69.0ms (0.8%)

simplify90.0ms (1%)

localize11.0ms (0.1%)

series4.0ms (0%)

rewrite106.0ms (1.2%)

simplify215.0ms (2.4%)

localize2.0ms (0%)

eval934.0ms (10.3%)

prune130.0ms (1.4%)

localize22.0ms (0.2%)

series6.0ms (0.1%)

rewrite66.0ms (0.7%)

simplify73.0ms (0.8%)

localize14.0ms (0.1%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite49.0ms (0.5%)

simplify46.0ms (0.5%)

eval172.0ms (1.9%)

prune69.0ms (0.8%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

simplify6.0ms (0.1%)

soundness9.0ms (0.1%)

end33.0ms (0.4%)

Profiling