Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (31.4%)

Results

990.0ms	8256×	body	256	valid
3.0ms	26×	body	256	invalid

Bogosity

preprocess158.0ms (4.9%)

Algorithm

2×	egg-herbie

Rules

600×	`unsub-neg_binary64`
587×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
438×	`distribute-neg-in_binary64`
411×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	345	20
8	713	20
9	1518	20
10	2898	20
11	4338	20
12	5312	20
13	5623	20
14	5927	20
15	6028	20
16	6106	20
17	6374	20
18	7320	20
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

600×	`unsub-neg_binary64`
587×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
438×	`distribute-neg-in_binary64`
411×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	345	20
8	713	20
9	1518	20
10	2898	20
11	4338	20
12	5312	20
13	5623	20
14	5927	20
15	6028	20
16	6106	20
17	6374	20
18	7320	20

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series46.0ms (1.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))
1.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	0	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite94.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
399×	`fma-def_binary64`
367×	`pow-prod-down_binary64`
282×	`pow2_binary64`
203×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	225	59
2	3293	57

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

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

simplify137.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

332×	`log-prod_binary64`
300×	`fma-neg_binary64`
296×	`div-sub_binary64`
286×	`fma-def_binary64`
240×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	622	6901
1	1586	6427
2	5480	6299

Stop Event

1×	node limit

Counts

285 → 457

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
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(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 x))
(.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (/.f64 1 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 (neg.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3)
(pow.f64 (.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 1) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 -1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (/.f64 -1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (+.f64 (/.f64 1/2 (.f64 x (sqrt.f64 -1))) (-.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)) (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (/.f64 -1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1))))
(-.f64 (/.f64 -1/2 (.f64 x (sqrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 1/8 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/2 (.f64 x (sqrt.f64 -1))))
(-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(-.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))) (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) x))) (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 -1/4 (.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)) (fma.f64 (pow.f64 x 6) -5/96 (log.f64 2)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/6 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3)))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))) (sqrt.f64 -1)))
(/.f64 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(fma.f64 -1/2 x (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (/.f64 1 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (/.f64 1 x) (*.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 1 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 5) (/.f64 1 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
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(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(fma.f64 -1 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 -1 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (/.f64 1 (neg.f64 x)) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (/.f64 1 x))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) x) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 1 x) (pow.f64 (-.f64 1 (*.f64 x x)) 1/6)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) x) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) x) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(fma.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (sqrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (/.f64 1 x)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 1 x) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) x)
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (/.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) -2) (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 1 x) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) x)
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 x)) (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) 1/2)
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3)))
(pow.f64 (.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)) 3)
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (/.f64 1 x) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) x)
(pow.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval179.0ms (5.6%)

Compiler: Compiled 10082 to 6782 computations (32.7% saved)

prune70.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	453	4	457
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	454	4	458

Error

Counts

458 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.3b	(log.f64 (/.f64 2 x))
▶	0.2b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 39 to 30 computations (23.1% saved)

localize15.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite46.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	194	8
2	2404	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-neg_binary64`
474×	`associate-l_binary64`
444×	`associate-r_binary64`
427×	`div-sub_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	774
1	240	649
2	782	529
3	4949	519

Stop Event

1×	node limit

Counts

40 → 49

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series43.0ms (1.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (/.f64 2 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
8.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite35.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary64`
465×	`add-sqr-sqrt_binary64`
454×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
443×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1210	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
435×	`log-prod_binary64`
313×	`associate-l_binary64`
300×	`associate-r_binary64`
258×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	300
1	163	290
2	552	290
3	3408	290
4	7050	290

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
437×	`log-prod_binary64`
278×	`fma-def_binary64`
268×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	197	43
2	2718	43

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

simplify119.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
362×	`log-prod_binary64`
273×	`exp-prod_binary64`
271×	`cube-prod_binary64`
241×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	4840
1	1335	4681
2	5012	4583

Stop Event

1×	node limit

Counts

214 → 326

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 -1) x)
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 x)))
(.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1) (/.f64 1 (neg.f64 x)))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) x))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) x))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (cbrt.f64 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 x)))
(.f64 (pow.f64 (E.f64) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (pow.f64 (E.f64) (neg.f64 (log.f64 x))))
(.f64 (pow.f64 (E.f64) (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (pow.f64 (E.f64) (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))) (pow.f64 (E.f64) (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2))) (.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)))
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(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 -1/16 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (pow.f64 x -1) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (pow.f64 x -1) (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (pow.f64 x -1) (sqrt.f64 -1)) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))))))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 x) (neg.f64 (sqrt.f64 -1)))
(-.f64 (/.f64 1 x) (sqrt.f64 -1))
(-.f64 (pow.f64 x -1) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (sqrt.f64 -1))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(+.f64 (-.f64 (pow.f64 x -1) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))) (/.f64 1/2 (.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (pow.f64 x -1) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 1 (*.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 (+.f64 1 (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (.f64 (sqrt.f64 -1) x))) (.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))) (-.f64 1 (/.f64 1/8 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 -1 (.f64 (sqrt.f64 -1) x)))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/8 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (-.f64 1 (/.f64 (/.f64 1/2 x) (sqrt.f64 -1))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (.f64 -1/4 (.f64 x x)) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (-.f64 (log.f64 2) (log.f64 x)))
(+.f64 (.f64 -5/96 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)) (fma.f64 (pow.f64 x 6) -5/96 (log.f64 2)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (log.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (log.f64 (sqrt.f64 -1)))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (-.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(log.f64 (*.f64 -1 (sqrt.f64 -1)))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(-.f64 (+.f64 (log.f64 (.f64 -1 (sqrt.f64 -1))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))) (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) 1/6 (/.f64 -1 (.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 0 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 x))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 1)
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)) 2))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (/.f64 1 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (sqrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (/.f64 1 x)))
(.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2) (/.f64 1 x))
(/.f64 (pow.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) 2) x)
(.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1) (/.f64 1 (neg.f64 x)))
(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
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(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2) 1/2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.2b	(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

Compiler

Compiled 36 to 18 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`pow1_binary64`
911×	`add-log-exp_binary64`
910×	`expm1-log1p-u_binary64`
909×	`log1p-expm1-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	192	16
2	2527	16

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

Outputs

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

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

966×	`fma-neg_binary64`
831×	`div-sub_binary64`
465×	`fma-def_binary64`
455×	`associate-l_binary64`
442×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1259
1	416	1213
2	1321	1201
3	6397	1201

Stop Event

1×	node limit

Counts

48 → 78

Calls

Call 1

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

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

eval273.0ms (8.5%)

Compiler: Compiled 11583 to 8261 computations (28.7% saved)

prune101.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	634	1	635
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	635	4	639

Error

Counts

639 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.3b	(log.f64 (/.f64 2 x))
✓	0.2b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 43 to 34 computations (20.9% saved)

localize29.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 74 to 46 computations (37.8% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
901×	`add-log-exp_binary64`
900×	`log1p-expm1-u_binary64`
900×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	179	15
2	2525	15

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
433×	`distribute-rgt-in_binary64`
386×	`distribute-lft-in_binary64`
204×	`unswap-sqr_binary64`
187×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	950
1	376	869
2	1143	857
3	4170	857

Stop Event

1×	node limit

Counts

46 → 87

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 5/128 (pow.f64 x 7)) (.f64 1/16 (pow.f64 x 5)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 x (+.f64 0 (.f64 x x))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))
(fma.f64 1/8 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (*.f64 1/16 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 5/128 (pow.f64 x 7)) (.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 5/128 (pow.f64 x 7) (*.f64 1/16 (pow.f64 x 5)))))
(fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/16 (pow.f64 x 5) (*.f64 5/128 (pow.f64 x 7)))))
(fma.f64 1/16 (pow.f64 x 5) (fma.f64 5/128 (pow.f64 x 7) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (sqrt.f64 -1))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(-.f64 (-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x))
(+.f64 (-.f64 (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (sqrt.f64 -1))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 x))
(+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5))))
(/.f64 -1 (sqrt.f64 -1))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1)))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))))))
(-.f64 (/.f64 -1 (sqrt.f64 -1)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4)))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))))
(-.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 4))) (+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) x) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 -1 x) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 -1 (sqrt.f64 -1)))) (/.f64 (/.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (cbrt.f64 x) 1) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)))
(/.f64 (.f64 (neg.f64 x) 1) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (.f64 (cbrt.f64 x) 1) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)))
(/.f64 x (.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (+.f64 1 (-.f64 1 (.f64 x x))) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 x (/.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (-.f64 (-.f64 2 (.f64 x x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2))) (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 x (+.f64 0 (.f64 x x))) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 x (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (/.f64 x x) x) (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)))
(/.f64 (.f64 (neg.f64 x) 1) (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

eval100.0ms (3.1%)

Compiler: Compiled 5155 to 4020 computations (22% saved)

prune37.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	242	4	246

Error

Counts

246 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.3b	(log.f64 (/.f64 2 x))
✓	0.2b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 43 to 34 computations (20.9% saved)

regimes16.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 92 to 64 computations (30.4% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

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

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.1b remaining (-60.7%)

Threshold costs -0.1b (-60.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	57
1	37	57
2	45	57
3	50	57
4	52	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 41 to 32 computations (22% saved)

soundness88.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

332×	`log-prod_binary64`
300×	`fma-neg_binary64`
296×	`div-sub_binary64`
286×	`fma-def_binary64`
240×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	622	6901
1	1586	6427
2	5480	6299

Stop Event

1×	node limit

Compiler

Compiled 123 to 91 computations (26% saved)

end31.0ms (1%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

Details

analyze4.0ms (0.1%)

sample1.0s (31.4%)

preprocess158.0ms (4.9%)

simplify115.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.6%)

series46.0ms (1.4%)

rewrite94.0ms (2.9%)

simplify137.0ms (4.3%)

eval179.0ms (5.6%)

prune70.0ms (2.2%)

localize15.0ms (0.5%)

series1.0ms (0%)

rewrite46.0ms (1.4%)

simplify43.0ms (1.3%)

localize6.0ms (0.2%)

series43.0ms (1.3%)

rewrite35.0ms (1.1%)

simplify44.0ms (1.4%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite68.0ms (2.1%)

simplify119.0ms (3.7%)

localize16.0ms (0.5%)

series2.0ms (0.1%)

rewrite59.0ms (1.8%)

simplify58.0ms (1.8%)

eval273.0ms (8.5%)

prune101.0ms (3.2%)

localize29.0ms (0.9%)

series2.0ms (0.1%)

rewrite52.0ms (1.6%)

simplify50.0ms (1.6%)

eval100.0ms (3.1%)

prune37.0ms (1.1%)

regimes16.0ms (0.5%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness88.0ms (2.7%)

end31.0ms (1%)

Profiling