Details

analyze8.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.2s (60.8%)

Results

2.2s	8256×	body	256	valid
4.0ms	25×	body	256	invalid

Bogosity

preprocess296.0ms (8%)

Algorithm

2×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39
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)

simplify310.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

1222×	`+-commutative`
1114×	`distribute-lft-in`
1034×	`*-commutative`
966×	`distribute-rgt-in`
904×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	28	39
3	39	39
4	55	39
5	92	39
6	146	39
7	322	39
8	884	39
9	1809	39
10	3203	39
11	5287	39
12	6335	39
13	6751	39
14	7039	39
15	7175	39
16	7252	39
17	7547	39

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)

prune2.0ms (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

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize35.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	100.0%	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite230.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1894×	`add-sqr-sqrt`
1872×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	40
1	188	40
2	2452	40

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

Outputs

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

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

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-*r/`
1218×	`associate-/l*`
1066×	`associate-/r*`
790×	`unswap-sqr`
726×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2725
1	532	2613
2	2107	2575

Stop Event

1×	node limit

Counts

81 → 151

Calls

Call 1

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

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

eval107.0ms (2.9%)

Compiler: Compiled 3180 to 2359 computations (25.8% saved)

prune33.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	3	152

Error

100.0%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	99.7%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 36 to 27 computations (25% saved)

localize30.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))

Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite79.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1608×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	172	15
2	2160	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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

Outputs

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

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate-/r*`
1080×	`associate-r`
898×	`associate-l`
588×	`associate-+r+`
454×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1080
1	232	966
2	835	936
3	4137	936

Stop Event

1×	node limit

Counts

40 → 48

Calls

Call 1

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

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

localize15.0ms (0.4%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

eval31.0ms (0.8%)

Compiler: Compiled 887 to 652 computations (26.5% saved)

prune13.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	48	3	51

Error

100.0%

Counts

51 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.5%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
✓	99.7%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 36 to 27 computations (25% saved)

regimes12.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	x

Results

Error	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 63 to 45 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.1b remaining (-67%)

Threshold costs -0.10b (-67%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Error	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
8×	`*-commutative`
4×	`sub-neg`
4×	`neg-mul-1`
4×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
1	30	97
2	38	97
3	42	97
4	44	97

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 27 computations (25% saved)

soundness0.0ms (0%)

end54.0ms (1.5%)

Compiler: Compiled 34 to 25 computations (26.5% saved)

Details

analyze8.0ms (0.2%)

sample2.2s (60.8%)

preprocess296.0ms (8%)

simplify310.0ms (8.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize35.0ms (0.9%)

series4.0ms (0.1%)

rewrite230.0ms (6.2%)

simplify91.0ms (2.5%)

eval107.0ms (2.9%)

prune33.0ms (0.9%)

localize30.0ms (0.8%)

series1.0ms (0%)

rewrite79.0ms (2.1%)

simplify81.0ms (2.2%)

localize15.0ms (0.4%)

eval31.0ms (0.8%)

prune13.0ms (0.3%)

regimes12.0ms (0.3%)

regimes3.0ms (0.1%)

simplify10.0ms (0.3%)

soundness0.0ms (0%)

end54.0ms (1.5%)

Profiling