Details

analyze545.0ms (4.3%)

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)

sample5.7s (45.1%)

Results

3.7s	4102×	body	1024	valid
1.1s	2137×	body	512	valid
531.0ms	432×	body	2048	valid
344.0ms	1585×	body	256	valid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

18×	`+-commutative`
12×	`fma-def`
12×	`associate-+l-`
8×	`sub-neg`
6×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	35	19
5	45	19
6	64	19
7	78	19
8	82	19
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)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`fma-def`
12×	`associate-+l-`
8×	`sub-neg`
6×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	35	19
5	45	19
6	64	19
7	78	19
8	82	19

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

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series20.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	-inf	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms	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 x)
0.0ms	x	@	inf	(log1p.f64 x)

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`add-sqr-sqrt`
1218×	`*-un-lft-identity`
1130×	`add-cube-cbrt`
1116×	`add-cbrt-cube`
1102×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	164	20
2	2173	20

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

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

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1748×	`associate-/r*`
836×	`associate-/l*`
828×	`associate-+l+`
726×	`associate-*r/`
700×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	3295
1	721	3017
2	2961	2963

Stop Event

1×	node limit

Counts

69 → 136

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

eval102.0ms (0.8%)

Compiler: Compiled 4202 to 2788 computations (33.7% saved)

prune18.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	132	4	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	5	137

Error

0.0b

Counts

137 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.5b	(-.f64 -1 x)
▶	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	1.2b	-1

Compiler

Compiled 31 to 23 computations (25.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f64 x)
✓	0.0b	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 30 to 7 computations (76.7% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
2.0ms	x	@	inf	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
1.0ms	x	@	0	(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
0.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1282×	`add-cube-cbrt`
1266×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	199	34
2	2399	34

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

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

Outputs

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

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

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1036×	`+-commutative`
998×	`associate-*r/`
964×	`associate--r+`
956×	`*-commutative`
858×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	7624
1	974	6826
2	4008	6804

Stop Event

1×	node limit

Counts

84 → 160

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)))))))
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(.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)))
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(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x))) 1)
(-.f64 (+.f64 (.f64 -1/12 (.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x)))) 1)
(-.f64 (+.f64 (.f64 -1/12 (.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (.f64 1/24 (.f64 (exp.f64 -1) (pow.f64 x 4))) (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x))))) 1)
(-.f64 (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) x) (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) 1)
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(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) 2)) (.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)))))) (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) x) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.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 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) 3)) (.f64 1/3 (/.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))) (log.f64 (/.f64 1 x)))) (+.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)))))) (log.f64 (/.f64 1 x)))) (.f64 1/3 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2)))))) (exp.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (pow.f64 x 3)) (exp.f64 (.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))))) 1)
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(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (pow.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))) 3)) (+.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)))))) (-.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 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))))))))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.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 -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 (.f64 (+.f64 (.f64 1/2 (pow.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))) 2)) (.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))) (+.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)))))))) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2)) (exp.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))) 1)
(-.f64 (+.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (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 (neg.f64 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))
(*.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))))
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(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (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 (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 1 (/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 -1 (neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(+.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) -1)
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(*.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
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(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (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 -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 -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)))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 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 (.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 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 (neg.f64 x))))
1
(*.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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.f64 (log1p.f64 (neg.f64 x)) (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 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.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 (neg.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 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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))))
(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.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 (neg.f64 x)))))
1
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
1
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 1 (cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(cbrt.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
1
(/.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(/.f64 1 (/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
1
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
1
(/.f64 -1 (neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
1
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1)
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.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 (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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 2))
(fabs.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(+.f64 1 (-.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))
(/.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 (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 (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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(exp.f64 (*.f64 (log.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 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) -1)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))
(/.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (+.f64 1 (.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)) (+.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3)) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3) 1/3)
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))
(fabs.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))

localize5.0ms (0%)

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`add-sqr-sqrt`
1790×	`*-un-lft-identity`
1670×	`add-cube-cbrt`
1658×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	190	21
2	2267	21

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+l+`
1030×	`associate-+r+`
752×	`*-commutative`
696×	`distribute-lft-in`
646×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	987
1	186	827
2	840	697
3	3612	697

Stop Event

1×	node limit

Counts

37 → 47

Calls

Call 1

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

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(.f64 x (.f64 x -1/2))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) (neg.f64 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (.f64 (.f64 -1/2 (*.f64 x x)) 1) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 1 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (sqrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (-.f64 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 -1/2 (.f64 x x) 1)))
(/.f64 (fma.f64 1/4 (pow.f64 x 4) (neg.f64 (pow.f64 (-.f64 -1 x) 2))) (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 (.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (.f64 x -1/2) (+.f64 x 1)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (.f64 (.f64 -1/2 (.f64 x x)) (.f64 -1/2 (.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (.f64 1/4 (.f64 (.f64 x x) (.f64 x x))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (-.f64 -1 x) (.f64 -1/2 (*.f64 x x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (.f64 x (.f64 x -1/2))) (*.f64 1/4 (pow.f64 x 4))))
(pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 2)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))) 3)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3) 1/3)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 2))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x)) 3))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (log.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (.f64 (log.f64 (fma.f64 -1/2 (.f64 x x) (-.f64 -1 x))) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval238.0ms (1.9%)

Compiler: Compiled 14080 to 9864 computations (29.9% saved)

prune50.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	341	2	343
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	342	6	348

Error

Counts

348 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.5b	(-.f64 -1 x)
▶	0.4b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
▶	2.0b	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	1.2b	-1

Compiler

Compiled 44 to 34 computations (22.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
✓	0.0b	(cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	1.0b	(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)

Compiler

Compiled 52 to 13 computations (75% saved)

series60.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
13.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
11.0ms	x	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)
9.0ms	x	@	inf	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1754×	`add-sqr-sqrt`
1722×	`*-un-lft-identity`
1624×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
214×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	269	57
2	2936	57

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs

(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)

(cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))

Outputs

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

simplify608.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-r`
1018×	`*-commutative`
970×	`associate-l`
570×	`+-commutative`
504×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	704	65633
1	2282	64113

Stop Event

1×	node limit

Counts

123 → 214

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1)))) x) (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1)))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1)))) x) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1)) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 -1) 1)) 1/9) (pow.f64 (exp.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 -1) 1)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (pow.f64 (exp.f64 -1) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (pow.f64 (exp.f64 -1) 2))))) (.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 -1) 1)) 1/9) (pow.f64 (exp.f64 -1) 2))))) (pow.f64 x 2))))
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(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 2) 3) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) (+.f64 1 (.f64 (exp.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3) 3))
(expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/6) (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) 1/3) (pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) 1/3))
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 1)
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x))))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))) 1)
(*.f64 (log1p.f64 (neg.f64 x)) (/.f64 1 (log1p.f64 (neg.f64 x))))
(*.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1)
(*.f64 1 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (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 (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 1 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(/.f64 1 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 -1 (neg.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
(pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1)
(pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) -1)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 3) 1/3)
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 2))
(log.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 1))

Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1))
(expm1.f64 -1)
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1)))) x) (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1)))
(fma.f64 (.f64 (.f64 (exp.f64 -1) (*.f64 (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18))) -1) x (expm1.f64 -1))
(fma.f64 (.f64 (exp.f64 -1) (.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18)) -1)) x (expm1.f64 -1))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1))) (.f64 -2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (exp.f64 -1)))) x) (+.f64 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 -1) 1)) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 -1) 1)) 1/9) (pow.f64 (exp.f64 -1) 2))) (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 -1) 1)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (pow.f64 (exp.f64 -1) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 -1) 1) 4)) 1/9) (pow.f64 (exp.f64 -1) 2))))) (.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 -1) 1)) 1/9) (pow.f64 (exp.f64 -1) 2))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (.f64 (.f64 (exp.f64 -1) (.f64 (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18))) -1) x (expm1.f64 -1)) (.f64 (.f64 x x) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18) (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18)) (pow.f64 (exp.f64 -1) 2)) (fma.f64 (cbrt.f64 (expm1.f64 -1)) (.f64 (.f64 (pow.f64 (exp.f64 -1) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 (expm1.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (expm1.f64 -1) 4)) 1/18))) -1/9) (.f64 (.f64 (*.f64 (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18) (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18)) (pow.f64 (exp.f64 -1) 2)) 2/9)))))
(+.f64 (fma.f64 (.f64 (exp.f64 -1) (.f64 (.f64 (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18) (pow.f64 (pow.f64 (expm1.f64 -1) 4) 1/18)) -1)) x (expm1.f64 -1)) (.f64 x (.f64 x (+.f64 (.f64 (cbrt.f64 (expm1.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (expm1.f64 -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (expm1.f64 -1) 4)) 1/18)) (.f64 (pow.f64 (exp.f64 -1) 2) -1/9))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18) (pow.f64 (/.f64 1 (expm1.f64 -1)) 1/18)) (pow.f64 (exp.f64 -1) 2)) 1/9)))))
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(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (log1p.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(log1p.f64 (expm1.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 (neg.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
1
(*.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (/.f64 1 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (log1p.f64 (neg.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(/.f64 (log1p.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (cbrt.f64 (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 (neg.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(*.f64 1 (cbrt.f64 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 x)))
1
(/.f64 1 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)))
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 1 (/.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1))
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (/.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (.f64 (/.f64 1 (log1p.f64 (neg.f64 x))) (cbrt.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (/.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(/.f64 -1 (neg.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(/.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
1
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (/.f64 (log1p.f64 (neg.f64 x)) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (log1p.f64 (neg.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 (neg.f64 x))) (sqrt.f64 (log1p.f64 (neg.f64 x)))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 (neg.f64 x)) (cbrt.f64 (log1p.f64 (neg.f64 x))))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))
(/.f64 (log1p.f64 (neg.f64 x)) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) 1) (log1p.f64 (neg.f64 x)))
1
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))) (neg.f64 (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 1)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) -1)
(/.f64 1 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 2)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 3)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 3) 1/3)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(neg.f64 (/.f64 (log1p.f64 (neg.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x)))))
1
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 2))
(sqrt.f64 (pow.f64 (log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2))
(log.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3)) 3))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`*-commutative`
846×	`associate-*r/`
766×	`associate-*l/`
756×	`distribute-lft-in`
744×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	204	34
2	2756	34

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-+l+`
1134×	`associate-+r+`
846×	`+-commutative`
586×	`associate--r+`
572×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	7589
1	952	6679
2	4833	6663

Stop Event

1×	node limit

Counts

135 → 187

Calls

Call 1

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

Outputs
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(.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)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(.f64 x (+.f64 -1 (.f64 -1/2 x)))
(*.f64 x (fma.f64 -1/2 x -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(.f64 x (+.f64 -1 (.f64 -1/2 x)))
(*.f64 x (fma.f64 -1/2 x -1))
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/2 (.f64 x x)))) 1)
(.f64 -1/2 (.f64 x x))
(pow.f64 (.f64 -1/2 (.f64 x x)) 1)
(.f64 -1/2 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 x x))) 3)
(.f64 -1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 1/3)
(.f64 -1/2 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(.f64 -1/2 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 x x)))))
(.f64 -1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3))
(.f64 -1/2 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 x x))))
(.f64 -1/2 (.f64 x x))
(-.f64 -1 (.f64 x (-.f64 1 (.f64 -1/2 x))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(-.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 -1/2 (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 -1/2 (.f64 x x))))
(-.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) (fma.f64 1/2 (.f64 x x) (.f64 -1/2 (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 -1/2 (.f64 x x))))
(-.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
(-.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) (fma.f64 (.f64 x (.f64 1/2 x)) 1 (.f64 -1/2 (.f64 x x))))
(-.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x) (fma.f64 (.f64 x (neg.f64 x)) -1/2 (.f64 -1/2 (.f64 x x))))
(-.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
(+.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1) (.f64 (.f64 x x) 0))
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(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (neg.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2)))))))
(.f64 1 (/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 (pow.f64 x 4) 1/4))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4))) (/.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))) (sqrt.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1)) (sqrt.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))))) (sqrt.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1)) (sqrt.f64 (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 (pow.f64 x 4) 1/4)))) (sqrt.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x)) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)))) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2)))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2))) (cbrt.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1)) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 -1/2 (.f64 x x) -1) x)) 2) (cbrt.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)))) (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 x 1/2)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1)) 2) (cbrt.f64 (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 (pow.f64 x 4) 1/4)))) (cbrt.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2)) (.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (pow.f64 x 4) 1/4))) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 4) (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 1/16)) (.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))) (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 4) (.f64 (pow.f64 x 8) -1/16)) (.f64 (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)) (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3) (pow.f64 (.f64 (pow.f64 x 4) 1/4) 3)) (/.f64 1 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))) (+.f64 (.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (-.f64 -1 x) 2)) (.f64 (.f64 (pow.f64 x 4) 1/4) (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) 1/4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 2) 3) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/64)) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2)))) (+.f64 (pow.f64 (-.f64 -1 x) 4) (.f64 (pow.f64 x 4) (.f64 1/4 (+.f64 (.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -1/64)) (.f64 (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (fma.f64 (pow.f64 x 4) (.f64 1/4 (fma.f64 (pow.f64 x 4) 1/4 (pow.f64 (-.f64 -1 x) 2))) (pow.f64 (-.f64 -1 x) 4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (*.f64 x x)) 3)))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 6) (pow.f64 (.f64 -1/2 (.f64 x x)) 6)) (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 -1/8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -1/64)) (.f64 (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 (pow.f64 x 4) 1/4)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (.f64 1/8 (pow.f64 (.f64 x x) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (+.f64 (.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (-.f64 -1 x) 3)) (.f64 (pow.f64 (.f64 -1/2 (.f64 x x)) 3) (-.f64 (pow.f64 (.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (pow.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))) (+.f64 (pow.f64 (-.f64 -1 x) 6) (.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (-.f64 (.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 -1 x) 3) 3) (.f64 -1/512 (pow.f64 (pow.f64 (.f64 x x) 3) 3))) (.f64 (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (.f64 (pow.f64 x 4) 1/4)) (fma.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (-.f64 (.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) (pow.f64 (-.f64 -1 x) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) 1) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) 1) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))) (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) 1) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) 1) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x 1/2) (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 -1/4 (pow.f64 x 4))) (+.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 x (sqrt.f64 -1/2)))) (-.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 x (sqrt.f64 -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (.f64 (pow.f64 x 4) -1/4)) (.f64 (-.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 x (sqrt.f64 -1/2))) (+.f64 (.f64 x (sqrt.f64 -1/2)) (sqrt.f64 (-.f64 -1 x)))))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (.f64 (fma.f64 x (sqrt.f64 -1/2) (sqrt.f64 (-.f64 -1 x))) (-.f64 (sqrt.f64 (-.f64 -1 x)) (.f64 x (sqrt.f64 -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) 1) (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (.f64 -1/2 (.f64 x x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 1/2 x)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (*.f64 1/2 x)))))))
(/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 (.f64 x x) 3)) (pow.f64 (-.f64 -1 x) 3)) 1) (fma.f64 (pow.f64 x 4) 1/4 (.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (fma.f64 -1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (fma.f64 x (.f64 x 1/2) (-.f64 -1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(pow.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) 1)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))) 2)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))) 3)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(pow.f64 (pow.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) 3) 1/3)
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) 2))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x) 2))
(fabs.f64 (fma.f64 x (fma.f64 -1/2 x -1) -1))
(log.f64 (exp.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(cbrt.f64 (pow.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x))) 3))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(expm1.f64 (log.f64 (.f64 x (+.f64 -1 (.f64 -1/2 x)))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(exp.f64 (log.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(log1p.f64 (expm1.f64 (+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 1 (.f64 -1/2 (.f64 x x)) (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 1 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 (.f64 x (sqrt.f64 -1/2)) (.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (.f64 -1/2 (.f64 x x)))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (.f64 -1/2 (*.f64 x x))) (-.f64 -1 x))
(fma.f64 (*.f64 -1/2 x) x (-.f64 -1 x))
(fma.f64 x (+.f64 -1 (*.f64 -1/2 x)) -1)
(fma.f64 x (fma.f64 -1/2 x -1) -1)

eval1.9s (15%)

Compiler: Compiled 72296 to 58429 computations (19.2% saved)

prune71.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	480	2	482
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	480	8	488

Error

Counts

488 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	0.4b	(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x))))
▶	0.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 x (+.f64 x -1)))))
✓	0.5b	(-.f64 -1 x)
✓	0.4b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
✓	2.0b	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	1.2b	-1

Compiler

Compiled 90 to 68 computations (24.4% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 94 to 64 computations (31.9% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite131.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/r*`
1156×	`associate-/l*`
934×	`distribute-lft-in`
638×	`associate-/r/`
292×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	88
1	270	76
2	3471	76

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

Outputs
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(pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (cbrt.f64 (.f64 x (+.f64 x -1))) 1)))))

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1006×	`associate-+r-`
996×	`associate-r`
918×	`+-commutative`
782×	`associate-l`
570×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	10121
1	1646	9717
2	7597	9567

Stop Event

1×	node limit

Counts

269 → 371

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) 1)
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 (pow.f64 x 4) (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
x
(+.f64 1 x)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
x
(+.f64 1 x)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (*.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 x) (+.f64 x -1))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 (+.f64 x -1)) x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(+.f64 (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1) (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))
(+.f64 (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))) (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1)))))) 1)
(.f64 -1 (/.f64 1 (+.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 1 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1)))) 1)
(.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (sqrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 1 (+.f64 1 (.f64 x (+.f64 x -1)))) -1)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 x (+.f64 x -1))))) (/.f64 -1 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (-.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (+.f64 -1 (.f64 -1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (neg.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))))
(.f64 (/.f64 1 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (-.f64 1 (*.f64 x (+.f64 x -1))))
(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 1)) (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (.f64 x (+.f64 x -1))))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (.f64 x (+.f64 x -1))))) (sqrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (sqrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (.f64 x (+.f64 x -1)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (cbrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))))
(pow.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) 2)
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1)))) 3) 1/3)
(pow.f64 (neg.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))) -1)
(neg.f64 (/.f64 1 (+.f64 1 (*.f64 x (+.f64 x -1)))))
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(/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (-.f64 1 (.f64 x (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (/.f64 1 (/.f64 1 (-.f64 1 (.f64 x (+.f64 x -1))))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1)))))))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))) (sqrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (/.f64 (-.f64 1 (.f64 x (+.f64 x -1))) (sqrt.f64 (-.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))) (cbrt.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (cbrt.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)))) (/.f64 (-.f64 1 (.f64 x (+.f64 x -1))) (cbrt.f64 (-.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (-.f64 1 (.f64 x (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 1 (neg.f64 (-.f64 1 (*.f64 x (+.f64 x -1))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 1 (neg.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3))) (.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))) (-.f64 1 (pow.f64 (*.f64 x (+.f64 x -1)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1) (+.f64 (neg.f64 x) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 1) (.f64 1 (+.f64 (neg.f64 x) (fma.f64 x x -1))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (-.f64 1 (.f64 x (+.f64 x -1))) (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3) 3)) (.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))) (+.f64 1 (-.f64 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3) (pow.f64 (.f64 x (+.f64 x -1)) 3)) (pow.f64 (.f64 x (+.f64 x -1)) 3)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 3)) (.f64 (-.f64 1 (.f64 x (+.f64 x -1))) (+.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2))) (pow.f64 (*.f64 x (+.f64 x -1)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) 1) (-.f64 1 (.f64 x (+.f64 x -1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (sqrt.f64 (-.f64 1 (.f64 x (+.f64 x -1))))) (sqrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (.f64 (cbrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))) (cbrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))))) (cbrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))))
(pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 2))
(log.f64 (exp.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (+.f64 x -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(fma.f64 1 (*.f64 x (+.f64 x -1)) 1)
(fma.f64 x (+.f64 x -1) 1)
(fma.f64 (+.f64 x -1) x 1)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) (sqrt.f64 (.f64 x (+.f64 x -1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (cbrt.f64 (.f64 x (+.f64 x -1))) 1)

Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 -1 x (pow.f64 x 3)) -1)
(+.f64 -1 (-.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 3) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1 x (+.f64 (pow.f64 x 3) (pow.f64 x 4))) -1)
(+.f64 -1 (+.f64 (-.f64 (pow.f64 x 3) x) (pow.f64 x 4)))
(+.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (-.f64 -1 x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 6))))
(pow.f64 x 3)
(+.f64 (pow.f64 x 4) (pow.f64 x 3))
(+.f64 (pow.f64 x 3) (pow.f64 x 4))
(+.f64 (*.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))
(fma.f64 -1 (pow.f64 x 6) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 6))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 (.f64 -1 (pow.f64 x 7)) (+.f64 (pow.f64 x 4) (pow.f64 x 3))))
(fma.f64 -1 (pow.f64 x 6) (fma.f64 -1 (pow.f64 x 7) (+.f64 (pow.f64 x 3) (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 7)) (pow.f64 x 6))
(-.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 4)) (pow.f64 x 6)) (pow.f64 x 7))
x
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 x 1) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 x 1) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 x 1) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 3)))
x
(+.f64 1 x)
(+.f64 x 1)
(-.f64 (+.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 x 1) (/.f64 1 (*.f64 x x)))
(+.f64 (+.f64 x 1) (/.f64 (/.f64 -1 x) x))
(-.f64 (+.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 x (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 x 1) (/.f64 (/.f64 -1 x) x)) (/.f64 -1 (pow.f64 x 3)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (neg.f64 (*.f64 x (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 -1 (.f64 x (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 x) (+.f64 x -1))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (*.f64 (neg.f64 (+.f64 x -1)) x)))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) 1) (.f64 (/.f64 -1 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2))) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (cbrt.f64 (*.f64 x (+.f64 x -1))))))
(/.f64 (neg.f64 (-.f64 1 (-.f64 (.f64 x x) x))) (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)))
(/.f64 (-.f64 1 (.f64 x (+.f64 -1 x))) (+.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)))
(/.f64 (fma.f64 x x (-.f64 -1 x)) (-.f64 1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)))
(+.f64 (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) 1) (.f64 (/.f64 -1 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3))) (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 -1 (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (.f64 x (-.f64 1 x))))) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)))
(/.f64 (+.f64 1 (.f64 (.f64 x (+.f64 -1 x)) (fma.f64 x (+.f64 -1 x) -1))) (-.f64 -1 (pow.f64 (*.f64 x (+.f64 -1 x)) 3)))
(/.f64 (+.f64 1 (.f64 (.f64 x (+.f64 -1 x)) (fma.f64 x x (-.f64 -1 x)))) (-.f64 -1 (pow.f64 (*.f64 x (+.f64 -1 x)) 3)))
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(/.f64 (+.f64 1 (pow.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 3) 3)) (.f64 (+.f64 1 (.f64 (.f64 x (+.f64 -1 x)) (fma.f64 x x (-.f64 -1 x)))) (+.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (pow.f64 (.f64 x (+.f64 -1 x)) 6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) 3)) (.f64 (-.f64 1 (.f64 x (+.f64 x -1))) (+.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (pow.f64 (.f64 x (+.f64 x -1)) 2))) (pow.f64 (*.f64 x (+.f64 x -1)) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) 3)) (-.f64 1 (-.f64 (.f64 x x) x))) (+.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 4) (pow.f64 (-.f64 (.f64 x x) x) 2))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 -1 x)) 6)) (-.f64 1 (.f64 x (+.f64 -1 x)))) (+.f64 1 (+.f64 (pow.f64 (.f64 x (+.f64 -1 x)) 2) (pow.f64 (.f64 x (+.f64 -1 x)) 4))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) 1) (-.f64 1 (.f64 x (+.f64 x -1))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)) (-.f64 1 (-.f64 (.f64 x x) x)))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)) (-.f64 1 (.f64 x (+.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)) (fma.f64 x x (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (sqrt.f64 (-.f64 1 (.f64 x (+.f64 x -1))))) (sqrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)) (-.f64 1 (-.f64 (.f64 x x) x)))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)) (-.f64 1 (.f64 x (+.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)) (fma.f64 x x (-.f64 -1 x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 2)) (.f64 (cbrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))) (cbrt.f64 (-.f64 1 (.f64 x (+.f64 x -1)))))) (cbrt.f64 (-.f64 1 (*.f64 x (+.f64 x -1)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 2)) (-.f64 1 (-.f64 (.f64 x x) x)))
(/.f64 (-.f64 1 (pow.f64 (.f64 x (+.f64 -1 x)) 2)) (-.f64 1 (.f64 x (+.f64 -1 x))))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 x (+.f64 -1 x)) 2)) (fma.f64 x x (-.f64 -1 x)))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (*.f64 x (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x (+.f64 -1 x) -1))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x x (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1)))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (*.f64 x (+.f64 x -1))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (*.f64 x (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x (+.f64 -1 x) -1))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x x (-.f64 -1 x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 x (+.f64 x -1)) 2) (.f64 x (+.f64 x -1))))))
(/.f64 (+.f64 1 (pow.f64 (-.f64 (.f64 x x) x) 3)) (+.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 x x) x) 2) (*.f64 x (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x (+.f64 -1 x) -1))))
(/.f64 (-.f64 -1 (pow.f64 (.f64 x (+.f64 -1 x)) 3)) (-.f64 -1 (.f64 (*.f64 x (+.f64 -1 x)) (fma.f64 x x (-.f64 -1 x)))))
(pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(pow.f64 (sqrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))) 2)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(pow.f64 (cbrt.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))) 3)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(pow.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 3) 1/3)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(sqrt.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 -1 x) 1) 2))
(fabs.f64 (-.f64 (fma.f64 x x 1) x))
(log.f64 (exp.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (*.f64 x (+.f64 x -1))))))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(cbrt.f64 (pow.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) 3))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(expm1.f64 (log1p.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(exp.f64 (log1p.f64 (*.f64 x (+.f64 x -1))))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 x (+.f64 x -1))) 1))
(exp.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))
(exp.f64 (log1p.f64 (*.f64 x (+.f64 -1 x))))
(log1p.f64 (expm1.f64 (+.f64 1 (*.f64 x (+.f64 x -1)))))
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(fma.f64 1 (*.f64 x (+.f64 x -1)) 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 x -1) 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(fma.f64 (+.f64 x -1) x 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) (sqrt.f64 (.f64 x (+.f64 x -1))) 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (cbrt.f64 (.f64 x (+.f64 x -1))) 1)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (fma.f64 x x 1) x)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 40 computations (31% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite506.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1444×	`associate-/r*`
1124×	`associate-/l*`
772×	`associate-/r/`
340×	`associate-/l/`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	118
1	299	118
2	4164	118

Stop Event

1×	node limit

Counts

4 → 299

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (.f64 (.f64 x 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 1/2 x (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 1/2 x (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 (neg.f64 x) -1/2 (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 (neg.f64 x) -1/2 (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 (.f64 x 1/2) 1 (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 (.f64 x 1/2) 1 (.f64 -1/2 x))))))) 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (fma.f64 (.f64 x 1/2) 1 (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 -1/2 x))) (sqrt.f64 (.f64 -1/2 x)) (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 -1/2 x))) (cbrt.f64 (.f64 (.f64 x x) 1/4)) (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (+.f64 (fma.f64 1/2 x (.f64 -1/2 x)) (fma.f64 1/2 x (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (+.f64 (fma.f64 (neg.f64 x) -1/2 (.f64 -1/2 x)) (fma.f64 1/2 x (.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)) (+.f64 (fma.f64 (.f64 x 1/2) 1 (.f64 -1/2 x)) (fma.f64 1/2 x 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simplify587.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-r`
866×	`associate-l`
816×	`+-commutative`
736×	`associate-+r+`
684×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	800	27871
1	2413	27421

Stop Event

1×	node limit

Counts

347 → 528

Calls

Call 1

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

Outputs
(*.f64 -1/2 x)
(+.f64 (.f64 -1/2 x) (.f64 -1 (pow.f64 x 2)))
(fma.f64 -1/2 x (neg.f64 (*.f64 x x)))
(fma.f64 -1/2 x (*.f64 x (neg.f64 x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -1 (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 x (neg.f64 (*.f64 x x))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 x (neg.f64 x))))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 x (.f64 -1 (+.f64 (.f64 x x) (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1 (*.f64 x x) (neg.f64 (pow.f64 x 4)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1 (fma.f64 1/2 x (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1 (fma.f64 1/2 x (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (fma.f64 1/2 x (/.f64 1 x)) (/.f64 1 (*.f64 x x))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 (pow.f64 x 3) (.f64 -1/2 (.f64 x x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (pow.f64 x 4))))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 5)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 (pow.f64 x 4)))))
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 5) (fma.f64 -1/2 (*.f64 x x) (neg.f64 (pow.f64 x 4)))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (+.f64 x (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/2 (*.f64 x x) x)))
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (+.f64 x (/.f64 1 x))))
(+.f64 1 (+.f64 (/.f64 1 x) (fma.f64 1/2 (*.f64 x 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1/2 (.f64 x x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) -1)
(neg.f64 (fma.f64 x x (+.f64 x 1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(+.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 x (+.f64 x -1)) (*.f64 x 1/2))
(fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x -1)) (.f64 (.f64 x 1/2) 1))
(fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 1/2 x (.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 (neg.f64 x) -1/2 (.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 (neg.f64 x) -1/2 (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 (.f64 x 1/2) 1 (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 (.f64 x 1/2) 1) (fma.f64 (.f64 x 1/2) 1 (.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (fma.f64 x 1/2 (fma.f64 1/2 x (*.f64 -1/2 x))))
(+.f64 (/.f64 x (+.f64 x -1)) (+.f64 (.f64 x 1/2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 -1/2 x))) (sqrt.f64 (.f64 -1/2 x)) (.f64 -1/2 x))))
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(log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x))))))
(-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x (fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (.f64 x (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)))))
(-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x (fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))))
(fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) (.f64 x (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)))))
(-.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x (fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (.f64 x (neg.f64 (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (*.f64 x (neg.f64 (fma.f64 x 1/2 (/.f64 x (+.f64 x -1))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (*.f64 (neg.f64 x) (fma.f64 x 1/2 (/.f64 x (+.f64 x -1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 -1 (/.f64 -1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(*.f64 1 (/.f64 1 (+.f64 x -1)))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))
(/.f64 1 (+.f64 x -1))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 -1 (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 -1 (+.f64 x -1)) -1)
(/.f64 1 (+.f64 x -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1))
(pow.f64 (sqrt.f64 (+.f64 x -1)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 1) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2))
(.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1)) (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 4) -1)) (+.f64 1 (.f64 x x)))
(.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))
(.f64 (/.f64 (+.f64 x 1) (-.f64 (pow.f64 (.f64 x x) 3) 1)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 1 (.f64 (*.f64 x x) 1))))
(.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 4) (+.f64 1 (.f64 x x))))
(.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))
(.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 1)) (-.f64 (pow.f64 x 3) -1))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 (pow.f64 x 6) -1)) (+.f64 (pow.f64 x 3) 1))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 x 6))) (+.f64 (pow.f64 x 3) 1))
(.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 1 (*.f64 (pow.f64 x 3) -1))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 x 6) (-.f64 1 (neg.f64 (pow.f64 x 3)))))
(*.f64 (/.f64 (fma.f64 x x (+.f64 x 1)) (+.f64 -1 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (+.f64 x 1))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (fma.f64 x x (+.f64 x 1)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (-.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x 1)))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 -1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (+.f64 x 1)))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x 1))) (-.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (-.f64 -1 x))
(*.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (-.f64 -1 x) (-.f64 1 (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (+.f64 x 1))))
(/.f64 (.f64 (cbrt.f64 (fma.f64 x x (+.f64 x 1))) 1) (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 x 1)))
(pow.f64 (+.f64 x -1) -1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 1 (+.f64 x -1)) 1)
(/.f64 1 (+.f64 x -1))
(pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)
(/.f64 1 (+.f64 x -1))
(pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 x))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 3))
(pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(sqrt.f64 (pow.f64 (+.f64 x -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))
(/.f64 1 (+.f64 x -1))
(cbrt.f64 (pow.f64 (+.f64 x -1) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))
(/.f64 1 (+.f64 x -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))
(/.f64 1 (+.f64 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))

eval719.0ms (5.7%)

Compiler: Compiled 43779 to 31257 computations (28.6% saved)

prune232.0ms (1.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1070	3	1073
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	1071	10	1081

Error

Counts

1081 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	0.4b	(-.f64 (/.f64 1 (+.f64 x -1)) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (.f64 -1/2 x))))
	0.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (*.f64 x (+.f64 x -1))))) (pow.f64 x 3))
	0.4b	(-.f64 (+.f64 (.f64 -1/2 (.f64 x x)) (/.f64 -1 (+.f64 1 (.f64 x (+.f64 x -1))))) (.f64 (/.f64 x (/.f64 (+.f64 1 (*.f64 x (+.f64 x -1))) x)) x))
	0.4b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1)) (+.f64 1 (.f64 x x))) (.f64 x (-.f64 (/.f64 x (+.f64 x -1)) (*.f64 -1/2 x))))
✓	0.5b	(-.f64 -1 x)
✓	0.4b	(+.f64 (-.f64 -1 x) (.f64 -1/2 (.f64 x x)))
✓	2.0b	(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3))
✓	0.0b	(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))
	1.2b	-1

Compiler

Compiled 144 to 102 computations (29.2% saved)

regimes18.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 191 to 120 computations (37.2% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 147 to 95 computations (35.4% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 101 to 63 computations (37.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.7b remaining (-121.5%)

Threshold costs -0.7b (-121.5%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.5b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	107
1	36	107
2	42	107
3	45	107
4	46	107

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 43 to 32 computations (25.6% saved)

soundness14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`fma-def`
12×	`associate-+l-`
8×	`sub-neg`
6×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	16	19
2	21	19
3	28	19
4	35	19
5	45	19
6	64	19
7	78	19
8	82	19

Stop Event

1×

saturated

Compiler

Compiled 34 to 23 computations (32.4% saved)

end33.0ms (0.3%)

Compiler: Compiled 39 to 27 computations (30.8% saved)

Details

analyze545.0ms (4.3%)

sample5.7s (45.1%)

preprocess6.0ms (0.1%)

simplify15.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0%)

series20.0ms (0.2%)

rewrite54.0ms (0.4%)

simplify65.0ms (0.5%)

eval102.0ms (0.8%)

prune18.0ms (0.1%)

localize11.0ms (0.1%)

series6.0ms (0%)

rewrite84.0ms (0.7%)

simplify107.0ms (0.8%)

localize5.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite66.0ms (0.5%)

simplify52.0ms (0.4%)

eval238.0ms (1.9%)

prune50.0ms (0.4%)

localize17.0ms (0.1%)

series60.0ms (0.5%)

rewrite75.0ms (0.6%)

simplify608.0ms (4.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite81.0ms (0.6%)

simplify96.0ms (0.8%)

eval1.9s (15%)

prune71.0ms (0.6%)

localize55.0ms (0.4%)

series2.0ms (0%)

rewrite131.0ms (1%)

simplify156.0ms (1.2%)

localize44.0ms (0.4%)

series2.0ms (0%)

rewrite506.0ms (4%)

simplify587.0ms (4.7%)

eval719.0ms (5.7%)

prune232.0ms (1.8%)

regimes18.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0%)

soundness14.0ms (0.1%)

end33.0ms (0.3%)

Profiling