Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (47.9%)

Results

1.8s	8256×	body	256	valid
2.0ms	19×	body	256	invalid

Bogosity

preprocess154.0ms (4%)

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)

simplify145.0ms (3.7%)

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)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series12.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

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

rewrite114.0ms (2.9%)

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	59
1	225	59
2	3292	57

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

669×	`times-frac_binary64`
560×	`fma-neg_binary64`
554×	`cancel-sign-sub-inv_binary64`
499×	`fma-def_binary64`
350×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1049
1	378	1002
2	1142	970
3	4197	950

Stop Event

1×	node limit

Counts

285 → 324

Calls

Call 1

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

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

eval133.0ms (3.4%)

Compiler: Compiled 6745 to 4524 computations (32.9% saved)

prune44.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	320	4	324
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	320	5	325

Error

Counts

325 → 5

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)))
▶	0.2b	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
▶	0.6b	(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
▶	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	0.8b	(log.f64 (/.f64 2 x))

Compiler

Compiled 58 to 45 computations (22.4% saved)

localize21.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite73.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	7	12

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

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

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

localize34.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
✓	0.0b	(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
	0.0b	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

New

Error

Program

✓

0.0b

(log.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))

✓

0.0b

(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))

0.0b

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

Compiler

Compiled 66 to 52 computations (21.2% saved)

series4.0ms (0.1%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
1.0ms	x	@	inf	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
1.0ms	x	@	inf	(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
1.0ms	x	@	0	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
0.0ms	x	@	0	(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))

rewrite109.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`fma-def_binary64`
641×	`log-prod_binary64`
382×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	328	32
2	4075	32

Stop Event

1×	node limit

Counts

2 → 138

Calls

Call 1

Inputs
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/64) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x)))) (/.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 2) (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 x -1/2 (/.f64 2 x)) (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 2 x)) (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/64)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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3) (fma.f64 x -1/2 (/.f64 2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))) (log.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (log.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 2 x)) (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/64) (*.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))) (log.f64 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(*.f64 (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x -1/2)) (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x -1/2))) (*.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (fma.f64 -1/8 (pow.f64 x 3) (*.f64 x -1/2)) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (log.f64 (pow.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 (/.f64 2 x)) (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) (*.f64 -1/8 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/64)) (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/512 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (-.f64 (*.f64 -1/8 (pow.f64 x 3)) (fma.f64 x -1/2 (/.f64 2 x))) (-.f64 (*.f64 (pow.f64 x 6) 1/64) (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 x))))) 1))))))

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
562×	`times-frac_binary64`
467×	`unswap-sqr_binary64`
437×	`sub-neg_binary64`
361×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	338
1	176	328
2	472	318
3	1526	314
4	5559	314

Stop Event

1×	node limit

Counts

156 → 168

Calls

Call 1

Inputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/2 x))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 6)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8))) (*.f64 24 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 256/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8)))) (.f64 24 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 1/8) (*.f64 -3 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x))))) (*.f64 24 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 256/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x)))))) (.f64 24 (/.f64 1 (pow.f64 x 4))))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/2 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 -1/8 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -1/8) -1/2))
(*.f64 -1/8 (pow.f64 x 3))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (.f64 -1/2 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 -1/8 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x -1/8) -1/2))
(+.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 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -3/32 (pow.f64 x 4))) (-.f64 (log.f64 2) (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 x (*.f64 x -1/4) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/48 (pow.f64 x 6)) (+.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 -1/48 (pow.f64 x 6) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (.f64 x x) (-.f64 (fma.f64 -1/48 (pow.f64 x 6) (.f64 -3/32 (pow.f64 x 4))) (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 x (.f64 x -1/4) (fma.f64 -1/48 (pow.f64 x 6) (.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -1/48 (pow.f64 x 6) (-.f64 (fma.f64 -3/32 (pow.f64 x 4) (log.f64 2)) (log.f64 x))))
(+.f64 (*.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8))
(fma.f64 -3 (neg.f64 (log.f64 x)) (log.f64 -1/8))
(+.f64 (*.f64 3 (log.f64 x)) (log.f64 -1/8))
(fma.f64 3 (log.f64 x) (log.f64 -1/8))
(+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8)))
(+.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (log.f64 -1/8)) (/.f64 4 (*.f64 x x)))
(+.f64 (.f64 3 (log.f64 x)) (+.f64 (log.f64 -1/8) (/.f64 4 (.f64 x x))))
(+.f64 (log.f64 -1/8) (fma.f64 3 (log.f64 x) (/.f64 (/.f64 4 x) x)))
(+.f64 (log.f64 -1/8) (fma.f64 3 (log.f64 x) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8))) (*.f64 24 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (log.f64 -1/8)) (/.f64 24 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 3 (log.f64 x)) (log.f64 -1/8)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 -24 (pow.f64 x 4))))
(+.f64 (log.f64 -1/8) (-.f64 (fma.f64 3 (log.f64 x) (/.f64 (/.f64 4 x) x)) (/.f64 24 (pow.f64 x 4))))
(+.f64 (log.f64 -1/8) (+.f64 (/.f64 4 (*.f64 x x)) (fma.f64 3 (log.f64 x) (/.f64 -24 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 256/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (log.f64 -1/8)))) (.f64 24 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (log.f64 -1/8)) (/.f64 4 (*.f64 x x))) (/.f64 256/3 (pow.f64 x 6))) (/.f64 24 (pow.f64 x 4)))
(+.f64 (+.f64 (.f64 3 (log.f64 x)) (+.f64 (log.f64 -1/8) (/.f64 4 (.f64 x x)))) (-.f64 (/.f64 256/3 (pow.f64 x 6)) (/.f64 24 (pow.f64 x 4))))
(+.f64 (fma.f64 3 (log.f64 x) (log.f64 -1/8)) (-.f64 (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 256/3 (pow.f64 x 6))) (/.f64 24 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 -1/8) (+.f64 (/.f64 4 (*.f64 x x)) (fma.f64 3 (log.f64 x) (/.f64 -24 (pow.f64 x 4))))) (/.f64 256/3 (pow.f64 x 6)))
(+.f64 (log.f64 1/8) (*.f64 -3 (log.f64 (/.f64 -1 x))))
(fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 1/8) (+.f64 (/.f64 4 (.f64 x x)) (.f64 -3 (log.f64 (/.f64 -1 x)))))
(+.f64 (/.f64 4 (*.f64 x x)) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 1/8)))
(+.f64 (/.f64 (/.f64 4 x) x) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 1/8)))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x))))) (*.f64 24 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (/.f64 4 (.f64 x x)) (.f64 -3 (log.f64 (/.f64 -1 x))))) (/.f64 24 (pow.f64 x 4)))
(+.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 4 (*.f64 x x))) (-.f64 (log.f64 1/8) (/.f64 24 (pow.f64 x 4))))
(+.f64 (log.f64 1/8) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 -24 (pow.f64 x 4)))))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (log.f64 1/8) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 -24 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 256/3 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 1/8) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 -3 (log.f64 (/.f64 -1 x)))))) (.f64 24 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 256/3 (pow.f64 x 6)) (-.f64 (+.f64 (log.f64 1/8) (+.f64 (/.f64 4 (.f64 x x)) (.f64 -3 (log.f64 (/.f64 -1 x))))) (/.f64 24 (pow.f64 x 4))))
(+.f64 (/.f64 256/3 (pow.f64 x 6)) (+.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 4 (*.f64 x x))) (-.f64 (log.f64 1/8) (/.f64 24 (pow.f64 x 4)))))
(+.f64 (/.f64 256/3 (pow.f64 x 6)) (+.f64 (log.f64 1/8) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 -24 (pow.f64 x 4))))))
(+.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 -24 (pow.f64 x 4))) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 256/3 (pow.f64 x 6)) (log.f64 1/8))))

localize6.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x -1/4) (log.f64 2))
✓	0.2b	(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series17.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
3.0ms	x	@	-inf	(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
2.0ms	x	@	inf	(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
0.0ms	x	@	0	(fma.f64 x (*.f64 x -1/4) (log.f64 2))
0.0ms	x	@	inf	(fma.f64 x (*.f64 x -1/4) (log.f64 2))

rewrite75.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

925×	`pow1_binary64`
863×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
846×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	188	25
2	2323	25

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))

Outputs

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

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

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-neg-in_binary64`
479×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
427×	`unsub-neg_binary64`
347×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	300
1	58	264
2	129	264
3	382	264
4	970	264
5	2905	264
6	6169	264

Stop Event

1×	node limit

Counts

82 → 68

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))

Outputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))

eval139.0ms (3.6%)

Compiler: Compiled 6117 to 4667 computations (23.7% saved)

prune42.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	314	2	316
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	315	6	321

Error

Counts

321 → 6

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)))
▶	62.3b	(.f64 x (.f64 x -1/4))
▶	0.6b	(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
✓	0.2b	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
✓	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	0.8b	(log.f64 (/.f64 2 x))

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize20.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2))
✓	0.2b	(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
1.0ms	x	@	inf	(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
0.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2))

rewrite124.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`fma-def_binary64`
512×	`log-prod_binary64`
359×	`pow-prod-down_binary64`
285×	`fma-neg_binary64`
282×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	221	23
2	3042	23

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/4)) (*.f64 (log.f64 (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) x))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (fma.f64 x (*.f64 x -1/4) (log.f64 (*.f64 2 x))) (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(log.f64 x)) 2) (*.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 2) (pow.f64 (neg.f64 (log.f64 x)) 2)) (-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/16) (fma.f64 x (*.f64 x -1/4) (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 x (*.f64 x -1/4) (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> 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3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/16) (*.f64 x (*.f64 (*.f64 x -1/4) (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 2)) (fma.f64 x (*.f64 x -1/4) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/64 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (pow.f64 x 4) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (pow.f64 x 4) 1/16)) (-.f64 (log.f64 2) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 x (*.f64 x -1/4))) (*.f64 (pow.f64 x 4) 1/16)) (fma.f64 (pow.f64 x 6) -1/64 (pow.f64 (log.f64 2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 1/2)) (-.f64 (*.f64 (pow.f64 x 4) 1/16) (pow.f64 (log.f64 2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/4) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/4)) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/4 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/4)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 (sqrt.f64 (*.f64 x -1/4)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2)) (cbrt.f64 (*.f64 x -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))))

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

499×	`distribute-neg-in_binary64`
479×	`associate-l_binary64`
434×	`unswap-sqr_binary64`
427×	`unsub-neg_binary64`
347×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	300
1	58	264
2	129	264
3	382	264
4	970	264
5	2905	264
6	6169	264

Stop Event

1×	node limit

Counts

236 → 221

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(*.f64 -1/4 (pow.f64 x 2))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))

Outputs
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x))) (log.f64 x))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 2)) (log.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 2) (.f64 -1/4 (.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) (log.f64 2))
(fma.f64 x (*.f64 x -1/4) (log.f64 2))

eval88.0ms (2.3%)

Compiler: Compiled 4032 to 2755 computations (31.7% saved)

prune28.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	221	6	227

Error

Counts

227 → 6

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)))
✓	62.3b	(.f64 x (.f64 x -1/4))
✓	0.2b	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
▶	0.4b	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
✓	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	0.8b	(log.f64 (/.f64 2 x))

Compiler

Compiled 64 to 49 computations (23.4% saved)

localize15.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

Compiler

Compiled 29 to 20 computations (31% saved)

series7.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
2.0ms	x	@	-inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
1.0ms	x	@	inf	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

rewrite72.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

453×	`log-prod_binary64`
336×	`exp-prod_binary64`
306×	`prod-exp_binary64`
290×	`fma-def_binary64`
279×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	199	13
2	2558	13

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/16) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/4) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/4 (*.f64 x x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) x (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -1/4)) 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (/.f64 2 x)) 1 (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 2 x)) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (neg.f64 (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/4 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/16)) (cbrt.f64 (*.f64 x (*.f64 x -1/4))) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/4)) x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/4)) (*.f64 x (sqrt.f64 -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 (sqrt.f64 (*.f64 x -1/4)) x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (-.f64 (log.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/4)) 2)) (cbrt.f64 (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 (/.f64 2 x)))))))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-neg_binary64`
567×	`sub-neg_binary64`
463×	`distribute-rgt-neg-in_binary64`
333×	`distribute-lft-neg-in_binary64`
320×	`associate--l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	180
1	50	166
2	99	166
3	227	166
4	623	166
5	2087	166
6	5239	166
7	7962	166

Stop Event

1×	node limit

Counts

84 → 81

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 -1 (log.f64 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (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 (.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 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (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 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (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 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 2) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (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) (fma.f64 x (*.f64 x 1/4) (log.f64 x)))
(-.f64 (log.f64 2) (fma.f64 (*.f64 x x) 1/4 (log.f64 x)))
(*.f64 -1/4 (pow.f64 x 2))
(.f64 -1/4 (.f64 x x))
(.f64 x (.f64 x -1/4))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1/4 (*.f64 x x) (log.f64 -2)))
(+.f64 (log.f64 (/.f64 -1 x)) (fma.f64 x (*.f64 x -1/4) (log.f64 -2)))

eval29.0ms (0.8%)

Compiler: Compiled 1295 to 972 computations (24.9% saved)

prune13.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	81	6	87

Error

Counts

87 → 6

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)))
✓	62.3b	(.f64 x (.f64 x -1/4))
✓	0.2b	(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
✓	0.4b	(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
✓	0.4b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	0.8b	(log.f64 (/.f64 2 x))

Compiler

Compiled 64 to 49 computations (23.4% saved)

regimes20.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/4))
(log.f64 (/.f64 2 x))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x)))))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))

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

Calls

3 calls:

6.0ms	x
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))

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 109 to 78 computations (28.4% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/4))
(log.f64 (/.f64 2 x))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 x (.f64 x -1/4)) (log.f64 2)) (log.f64 x))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/4))
(log.f64 (/.f64 2 x))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

Outputs
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes4.0ms (0.1%)

Accuracy

Total -61.5b remaining (-7345.9%)

Threshold costs -61.5b (-7345.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x -1/4))
(log.f64 (/.f64 2 x))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	63
1	36	63
2	43	63
3	47	63
4	49	63

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 -1/2 x) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(.f64 x (.f64 x -1/4))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 (/.f64 1 x) 2)))
(+.f64 (.f64 x (.f64 x -1/4)) (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(.f64 x (.f64 x -1/4))

Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness0.0ms (0%)

end43.0ms (1.1%)

Compiler: Compiled 43 to 31 computations (27.9% saved)

Details

analyze4.0ms (0.1%)

sample1.9s (47.9%)

preprocess154.0ms (4%)

simplify145.0ms (3.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize21.0ms (0.5%)

series12.0ms (0.3%)

rewrite114.0ms (2.9%)

simplify69.0ms (1.8%)

eval133.0ms (3.4%)

prune44.0ms (1.1%)

localize21.0ms (0.5%)

series2.0ms (0%)

rewrite73.0ms (1.9%)

simplify7.0ms (0.2%)

localize34.0ms (0.9%)

series4.0ms (0.1%)

rewrite109.0ms (2.8%)

simplify60.0ms (1.5%)

localize6.0ms (0.1%)

localize18.0ms (0.5%)

series17.0ms (0.4%)

rewrite75.0ms (1.9%)

simplify70.0ms (1.8%)

eval139.0ms (3.6%)

prune42.0ms (1.1%)

localize4.0ms (0.1%)

localize20.0ms (0.5%)

series2.0ms (0.1%)

rewrite124.0ms (3.2%)

simplify72.0ms (1.9%)

eval88.0ms (2.3%)

prune28.0ms (0.7%)

localize15.0ms (0.4%)

series7.0ms (0.2%)

rewrite72.0ms (1.9%)

simplify79.0ms (2%)

eval29.0ms (0.8%)

prune13.0ms (0.3%)

regimes20.0ms (0.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify9.0ms (0.2%)

soundness0.0ms (0%)

end43.0ms (1.1%)

Profiling