Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample975.0ms (43.6%)

Results

960.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 30 to 22 computations (26.7% saved)

preprocess41.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
411×	`distribute-rgt-in_binary64`
374×	`fma-def_binary64`
353×	`distribute-neg-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	323	20
8	664	20
9	1447	20
10	2776	20
11	4161	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 14 to 10 computations (28.6% saved)

simplify31.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-neg_binary64`
454×	`unsub-neg_binary64`
411×	`distribute-rgt-in_binary64`
374×	`fma-def_binary64`
353×	`distribute-neg-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	323	20
8	664	20
9	1447	20
10	2776	20
11	4161	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)))

prune2.0ms (0.1%)

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

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

Compiler

Compiled 42 to 30 computations (28.6% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series19.0ms (0.9%)

Counts

4 → 48

Calls

12 calls:

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

rewrite67.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`fma-def_binary64`
203×	`fma-neg_binary64`
189×	`expm1-udef_binary64`
188×	`log1p-udef_binary64`
182×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	225	59
2	3285	59

Stop Event

1×	node limit

Counts

4 → 193

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

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

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
353×	`fma-def_binary64`
337×	`associate-/r*_binary64`
247×	`cancel-sign-sub-inv_binary64`
192×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1040
1	377	1004
2	1193	976
3	4665	973

Stop Event

1×	node limit

Counts

241 → 276

Calls

Call 1

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

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

prune195.0ms (8.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	275	2	277

Error

Counts

277 → 2

Alt Table

Status	Error	Program
	0.2b	(.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
▶	0.0b	(log.f64 (/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x))

Compiler

Compiled 5660 to 3896 computations (31.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series18.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(log.f64 (/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x))
3.0ms	x	@	-inf	(log.f64 (/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x))
2.0ms	x	@	-inf	(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)
1.0ms	x	@	inf	(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)
1.0ms	x	@	-inf	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite70.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
283×	`prod-diff_binary64`
180×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`
157×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	215	50
2	2915	50

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs
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Outputs

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

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

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
390×	`times-frac_binary64`
339×	`fma-def_binary64`
226×	`associate-/r*_binary64`
190×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	706
1	336	676
2	1016	660
3	3773	655

Stop Event

1×	node limit

Counts

198 → 230

Calls

Call 1

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

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

prune226.0ms (10.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	280	1	281

Error

Counts

281 → 1

Alt Table

Status	Error	Program
▶	0b	(neg.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))

Compiler

Compiled 6305 to 3860 computations (38.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series16.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(log.f64 (.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
4.0ms	x	@	-inf	(log.f64 (.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
2.0ms	x	@	-inf	(.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
2.0ms	x	@	inf	(.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
1.0ms	x	@	0	(log.f64 (.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))

rewrite58.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
275×	`prod-diff_binary64`
176×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`
154×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	211	40
2	2746	40

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

Outputs

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

simplify33.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

564×	`times-frac_binary64`
314×	`unswap-sqr_binary64`
256×	`fma-neg_binary64`
237×	`fma-def_binary64`
225×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	598
1	252	536
2	798	516
3	2988	513

Stop Event

1×	node limit

Counts

127 → 146

Calls

Call 1

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

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

prune153.0ms (6.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	247	1	248

Error

Counts

248 → 1

Alt Table

Status	Error	Program
✓	0b	(neg.f64 (log.f64 (.f64 x (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))

Compiler

Compiled 5865 to 3780 computations (35.5% saved)

regimes170.0ms (7.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

49 → 1

Compiler

Compiled 2347 to 1692 computations (27.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-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	11	23
1	22	23
2	30	23
3	35	23
4	37	23

Stop Event

1×

saturated

Calls

Call 1

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

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

end41.0ms (1.8%)

Stop Event

1×

done

Compiler

Compiled 48 to 30 computations (37.5% saved)

Details

analyze5.0ms (0.2%)

sample975.0ms (43.6%)

preprocess41.0ms (1.8%)

simplify31.0ms (1.4%)

prune2.0ms (0.1%)

localize8.0ms (0.4%)

series19.0ms (0.9%)

rewrite67.0ms (3%)

simplify48.0ms (2.2%)

prune195.0ms (8.7%)

localize9.0ms (0.4%)

series18.0ms (0.8%)

rewrite70.0ms (3.1%)

simplify40.0ms (1.8%)

prune226.0ms (10.1%)

localize10.0ms (0.4%)

series16.0ms (0.7%)

rewrite58.0ms (2.6%)

simplify33.0ms (1.5%)

prune153.0ms (6.9%)

regimes170.0ms (7.6%)

simplify2.0ms (0.1%)

end41.0ms (1.8%)

Profiling