Details

analyze8.0ms (0.2%)

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)

sample2.8s (54.6%)

Results

2.8s	8256×	body	256	valid
4.0ms	20×	body	256	invalid

Bogosity

preprocess158.0ms (3.1%)

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)

simplify141.0ms (2.8%)

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)))

eval1.0ms (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)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series9.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
2.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite104.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	225	41
2	3292	39

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

Outputs
((#(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 (.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 (/.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 (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)) (.f64 2 (log.f64 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 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(#(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 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x 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Outputs

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

((#(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))))))

simplify174.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

669×	`times-frac_binary64`
519×	`fma-neg_binary64`
514×	`cancel-sign-sub-inv_binary64`
399×	`fma-def_binary64`
349×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	841
1	331	804
2	1028	775
3	3864	757

Stop Event

1×	node limit

Counts

166 → 198

Calls

Call 1

Inputs
(+.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 1 x)
(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.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)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (.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 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(*.f64 -1 (sqrt.f64 -1))
(-.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.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 (.f64 -1 (sqrt.f64 -1)) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6))))))
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)))))
(-.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 -1 (.f64 (sqrt.f64 -1) x))
(-.f64 (.f64 -1 (.f64 (sqrt.f64 -1) x)) (.f64 1/2 (/.f64 1 (.f64 (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 1/2 (/.f64 1 (.f64 (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)))))

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

eval137.0ms (2.7%)

Compiler: Compiled 3943 to 2743 computations (30.4% saved)

prune26.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	195	4	199

Error

Counts

199 → 4

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)))
▶	0.7b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	0.4b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	33.2b	(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize25.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 40 to 29 computations (27.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`fma-def_binary64`
430×	`log-prod_binary64`
330×	`exp-prod_binary64`
303×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	198	16
2	2795	16

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

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

Outputs

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

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
585×	`times-frac_binary64`
386×	`associate-+l-_binary64`
321×	`associate-+r+_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	286
1	152	264
2	458	262
3	1564	258
4	6261	258

Stop Event

1×	node limit

Counts

64 → 76

Calls

Call 1

Inputs
(+.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 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))

Outputs
(+.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 (log.f64 2) (.f64 x (.f64 x -1/4))) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 2) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(-.f64 (fma.f64 -1/32 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) (log.f64 2))) (log.f64 x))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(-.f64 (fma.f64 -1/192 (pow.f64 x 6) (fma.f64 -1/32 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) (log.f64 2)))) (log.f64 x))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (/.f64 4 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 x) (/.f64 -4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (log.f64 x) (/.f64 -4 (*.f64 x x))) (/.f64 8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (log.f64 x) (/.f64 -8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (log.f64 -1/2) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1/2) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6))))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1/2)) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))) (-.f64 (log.f64 -1/2) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 -4 (*.f64 x x)))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(+.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (/.f64 8 (pow.f64 x 4))) (/.f64 -4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -8 (pow.f64 x 4)) (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -8 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6)))))
(-.f64 (-.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))) (/.f64 4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 4))) (/.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 -8 (pow.f64 x 4)) (/.f64 -64/3 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (/.f64 64/3 (pow.f64 x 6))) (-.f64 (/.f64 -8 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))))

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

series76.0ms (1.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
37.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
21.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
17.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))

rewrite68.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`pow1_binary64`
539×	`add-log-exp_binary64`
538×	`log1p-expm1-u_binary64`
538×	`expm1-log1p-u_binary64`
529×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	127	6
2	1799	6

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

155×	`fma-neg_binary64`
118×	`fma-def_binary64`
56×	`cancel-sign-sub-inv_binary64`
44×	`sub-neg_binary64`
39×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	27	108
2	40	108
3	60	108
4	109	108
5	204	108
6	336	108
7	510	108
8	658	108
9	779	108
10	799	108

Stop Event

1×

saturated

Counts

33 → 25

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))

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

localize65.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
✓	0.0b	(log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
✓	0.0b	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	31.1b	(/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))

Compiler

Compiled 68 to 30 computations (55.9% saved)

series14.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
2.0ms	x	@	-inf	(log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
2.0ms	x	@	inf	(/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
2.0ms	x	@	-inf	(/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))
1.0ms	x	@	0	(log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))

rewrite380.0ms (7.5%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`log-prod_binary64`
366×	`prod-exp_binary64`
333×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`
268×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	192	53
2	2531	53

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

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

Outputs

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

simplify265.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

687×	`times-frac_binary64`
505×	`associate-/l/_binary64`
481×	`fma-def_binary64`
414×	`fma-neg_binary64`
405×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	817
1	345	733
2	1049	716
3	3848	706

Stop Event

1×	node limit

Counts

226 → 257

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 2 x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.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 2)))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 5/96 (pow.f64 x 6)) (log.f64 x)))))
(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))))))
(log.f64 (/.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (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 (/.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 (/.f64 -1 (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))

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))))
(fma.f64 1/8 (pow.f64 x 3) (fma.f64 1/2 x (*.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 1/2 x (fma.f64 1/16 (pow.f64 x 5) (fma.f64 5/128 (pow.f64 x 7) (*.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 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.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 1 (sqrt.f64 -1)) (-.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (/.f64 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 (sqrt.f64 -1)) (/.f64 1 x)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.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 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5))) (-.f64 (/.f64 -1 x) (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (sqrt.f64 -1)) (+.f64 (-.f64 (/.f64 1 x) (/.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 1 (*.f64 x (pow.f64 (sqrt.f64 -1) 2)))))
(+.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 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (*.f64 x x))))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 -1 (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.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 1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))))))
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))
(+.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 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 -1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 5))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) -1/2))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) -1/2))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/8)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (pow.f64 x 5) -1/8)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 -1/16 (pow.f64 x 7) (*.f64 (pow.f64 x 5) -1/8))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 5) -1/8 (*.f64 (pow.f64 x 7) -1/16))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (pow.f64 x 7) -1/16 (*.f64 (pow.f64 x 5) -1/8))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(.f64 (sqrt.f64 -1) (.f64 x x))
(.f64 x (.f64 x (sqrt.f64 -1)))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (.f64 (sqrt.f64 -1) (.f64 x x)))
(fma.f64 (sqrt.f64 -1) (*.f64 x x) x)
(fma.f64 x (*.f64 x (sqrt.f64 -1)) x)
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 x (fma.f64 (sqrt.f64 -1) (*.f64 x x) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 x (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.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 2)))))
(+.f64 x (-.f64 (+.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x)))))
(+.f64 x (+.f64 (fma.f64 (sqrt.f64 -1) (.f64 x x) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 -1/8 (.f64 (*.f64 (neg.f64 (sqrt.f64 -1)) x) x))))
(+.f64 x (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (fma.f64 x (.f64 x (sqrt.f64 -1)) (/.f64 1/8 (.f64 x (*.f64 x (sqrt.f64 -1)))))))
(+.f64 x (+.f64 (fma.f64 x (.f64 x (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))) (/.f64 1/8 (.f64 x (*.f64 x (sqrt.f64 -1))))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(neg.f64 (.f64 (sqrt.f64 -1) (.f64 x x)))
(.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) x)
(.f64 x (.f64 x (neg.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x)
(fma.f64 (neg.f64 (sqrt.f64 -1)) (*.f64 x x) x)
(-.f64 x (.f64 x (.f64 x (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 -1)) (*.f64 x x) x) (/.f64 -1/2 (sqrt.f64 -1)))
(-.f64 x (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 x x))) (-.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) (.f64 x x)) x) (/.f64 1/2 (sqrt.f64 -1))))
(+.f64 (fma.f64 1/8 (/.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) x) x) (fma.f64 (neg.f64 (sqrt.f64 -1)) (*.f64 x x) x)) (/.f64 -1/2 (sqrt.f64 -1)))
(+.f64 (/.f64 -1/8 (.f64 x (.f64 x (sqrt.f64 -1)))) (-.f64 x (fma.f64 x (*.f64 x (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1)))))
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x)))
(fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 (*.f64 x x) 1/4 (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(+.f64 (log.f64 1/2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (log.f64 x))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (log.f64 x))))
(fma.f64 (pow.f64 x 4) 3/32 (+.f64 (log.f64 x) (fma.f64 (*.f64 x x) 1/4 (log.f64 1/2))))
(fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) 3/32 (+.f64 (log.f64 1/2) (log.f64 x))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 5/96 (pow.f64 x 6)) (log.f64 x)))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)))))
(fma.f64 (pow.f64 x 4) 3/32 (+.f64 (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)) (fma.f64 (*.f64 x x) 1/4 (log.f64 1/2))))
(fma.f64 (pow.f64 x 4) 3/32 (+.f64 (log.f64 x) (fma.f64 x (*.f64 x 1/4) (fma.f64 5/96 (pow.f64 x 6) (log.f64 1/2)))))
(fma.f64 x (*.f64 x 1/4) (fma.f64 (pow.f64 x 4) 3/32 (+.f64 (log.f64 1/2) (fma.f64 5/96 (pow.f64 x 6) (log.f64 x)))))
(log.f64 (/.f64 1 (sqrt.f64 -1)))
(neg.f64 (log.f64 (sqrt.f64 -1)))
(-.f64 (log.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (neg.f64 (log.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(neg.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (log.f64 (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 (neg.f64 (log.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 (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) x))
(+.f64 (-.f64 (/.f64 -1 (.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1))) (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(-.f64 (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (log.f64 (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 (neg.f64 (log.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 (-.f64 (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (/.f64 -1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1))) (-.f64 (-.f64 (/.f64 -1 (.f64 x (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5))))
(+.f64 (-.f64 (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 -3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)))
(log.f64 (/.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (log.f64 (/.f64 -1 (sqrt.f64 -1))))
(-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (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 x (sqrt.f64 -1))) (-.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 1 x) (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 (/.f64 -1 (sqrt.f64 -1))) (/.f64 1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (/.f64 -1 (*.f64 x (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 (/.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 x (sqrt.f64 -1))) (-.f64 (+.f64 (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (log.f64 (/.f64 -1 (sqrt.f64 -1)))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (/.f64 (/.f64 3/40 (pow.f64 x 5)) (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5))) (+.f64 (log.f64 (/.f64 -1 (sqrt.f64 -1))) (/.f64 1/6 (.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (pow.f64 x 5)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (.f64 (+.f64 (/.f64 1/6 (.f64 x x)) 1) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))

eval289.0ms (5.7%)

Compiler: Compiled 9063 to 6014 computations (33.6% saved)

prune79.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	410	1	411
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	412	3	415

Error

Counts

415 → 3

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)))
▶	0.6b	(neg.f64 (log.f64 (*.f64 1/2 x)))
✓	0.4b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize9.0ms (0.2%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

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)))
✓	0.6b	(neg.f64 (log.f64 (*.f64 1/2 x)))
✓	0.4b	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes17.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	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 83 to 56 computations (32.5% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-1.2%)

Threshold costs -0.0b (-1.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-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	19	46
1	34	46
2	42	46
3	47	46
4	49	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

soundness0.0ms (0%)

end29.0ms (0.6%)

Compiler: Compiled 31 to 23 computations (25.8% saved)

Iter	Nodes	Cost
0	17	124
1	27	108
2	40	108
3	60	108
4	109	108
5	204	108
6	336	108
7	510	108
8	658	108
9	779	108
10	799	108

Iter	Nodes	Cost
0	17	124
1	27	108
2	40	108
3	60	108
4	109	108
5	204	108
6	336	108
7	510	108
8	658	108
9	779	108
10	799	108

Details

analyze8.0ms (0.2%)

sample2.8s (54.6%)

preprocess158.0ms (3.1%)

simplify141.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.4%)

series9.0ms (0.2%)

rewrite104.0ms (2.1%)

simplify174.0ms (3.4%)

eval137.0ms (2.7%)

prune26.0ms (0.5%)

localize25.0ms (0.5%)

series2.0ms (0%)

rewrite78.0ms (1.5%)

simplify58.0ms (1.1%)

localize10.0ms (0.2%)

series76.0ms (1.5%)

rewrite68.0ms (1.3%)

simplify44.0ms (0.9%)

localize65.0ms (1.3%)

series14.0ms (0.3%)

rewrite380.0ms (7.5%)

simplify265.0ms (5.2%)

eval289.0ms (5.7%)

prune79.0ms (1.6%)

localize9.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes17.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end29.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	17	124
1	27	108
2	40	108
3	60	108
4	109	108
5	204	108
6	336	108
7	510	108
8	658	108
9	779	108
10	799	108