Details

analyze159.0ms (5.2%)

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
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.9s (61.2%)

Results

1.0s	2673×	body	1024	valid
402.0ms	3848×	body	256	valid
302.0ms	1466×	body	512	valid
120.0ms	269×	body	2048	valid
7.0ms	59×	body	256	infinite
0.0ms	3×	body	256	unsamplable

Bogosity

preprocess136.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify149.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.0b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite90.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`add-sqr-sqrt`
1452×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	156	15
2	1851	15

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

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

Outputs

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

simplify123.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-l`
910×	`fma-def`
666×	`associate-/l*`
610×	`times-frac`
574×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	93	1011
1	223	837
2	603	733
3	1553	645
4	5904	633

Stop Event

1×	node limit

Counts

29 → 51

Calls

Call 1

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

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (.f64 x x))) (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (sqrt.f64 2))
(fma.f64 1/2 (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 x (*.f64 x 3/8)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (sqrt.f64 2) (pow.f64 x 3))) (.f64 1/2 (+.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (/.f64 (sqrt.f64 2) (*.f64 x x))) (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2)) (.f64 x x))) (/.f64 (*.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(fma.f64 1/2 (fma.f64 (/.f64 7/96 (sqrt.f64 2)) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (*.f64 x x) (/.f64 x (sqrt.f64 2)))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (fma.f64 (/.f64 3/16 (sqrt.f64 2)) (.f64 x x) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (*.f64 7/96 (pow.f64 x 3))))))
(+.f64 (sqrt.f64 2) (.f64 (/.f64 1/2 (sqrt.f64 2)) (+.f64 x (.f64 (.f64 x x) (+.f64 3/8 (.f64 x 7/96))))))
(-.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(*.f64 (pow.f64 1 1/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (exp.f64 (+.f64 x x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/2)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 3)
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(+.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1))
(+.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 0)
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval15.0ms (0.5%)

Compiler: Compiled 685 to 517 computations (24.5% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	18.9b	(sqrt.f64 2)

Compiler

Compiled 17 to 15 computations (11.8% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
✓	0.6b	(cbrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 22 to 14 computations (36.4% saved)

series64.0ms (2.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
23.0ms	x	@	inf	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
4.0ms	x	@	inf	(cbrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
1.0ms	x	@	-inf	(cbrt.f64 (+.f64 1 (exp.f64 x)))

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`add-sqr-sqrt`
1738×	`*-un-lft-identity`
1640×	`add-cube-cbrt`
1626×	`add-cbrt-cube`
186×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	201	30
2	2370	30

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)

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

Outputs

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

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

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1410×	`associate-+r+`
1322×	`associate-+l+`
1122×	`associate-r`
948×	`associate-l`
778×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	2253
1	422	2131
2	1360	2011
3	5182	2011

Stop Event

1×	node limit

Counts

67 → 75

Calls

Call 1

Inputs
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (.f64 1/3 (/.f64 (.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 1/6 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)) (.f64 (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 3/4 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (*.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (+.f64 (.f64 3/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (.f64 1/4 (-.f64 (+.f64 1/6 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))))) (pow.f64 x 3))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)) (.f64 (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 3/4 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(exp.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 1 3/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))

Outputs
(cbrt.f64 2)
(+.f64 (cbrt.f64 2) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)))
(+.f64 (cbrt.f64 2) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (.f64 1/3 (/.f64 (.f64 (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2)))))
(+.f64 (cbrt.f64 2) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (/.f64 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 x x))))))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x (.f64 (/.f64 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (pow.f64 (cbrt.f64 2) 2)) (*.f64 x x))) (cbrt.f64 2))
(fma.f64 1/3 (fma.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x)) (cbrt.f64 2))
(+.f64 (cbrt.f64 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))) (pow.f64 x 2)) (pow.f64 (cbrt.f64 2) 2))) (.f64 1/3 (/.f64 (.f64 (-.f64 1/6 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 2) 2))))))
(+.f64 (cbrt.f64 2) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x) (.f64 1/3 (+.f64 (/.f64 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 x x))) (/.f64 (-.f64 1/6 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2)) (.f64 2/3 (.f64 (-.f64 1/2 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 x 3)))))))
(+.f64 (cbrt.f64 2) (.f64 1/3 (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x (.f64 (/.f64 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (pow.f64 (cbrt.f64 2) 2)) (.f64 x x))) (.f64 (/.f64 (-.f64 1/6 (fma.f64 2/3 (.f64 (+.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)))) (/.f64 1/27 (pow.f64 (cbrt.f64 2) 2)))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 3)))))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 2))) x (fma.f64 (/.f64 (+.f64 1/6 (fma.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) -2/3) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (/.f64 -1/27 (pow.f64 (cbrt.f64 2) 2)))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 x 3) (.f64 (*.f64 x x) (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) (pow.f64 (cbrt.f64 2) 2))))) (cbrt.f64 2))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6))))
(fma.f64 1/2 (*.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (sqrt.f64 2))
(fma.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)) (.f64 (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 3/4 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (*.f64 (sqrt.f64 2) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (.f64 3/4 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))))) (.f64 (*.f64 x x) (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (sqrt.f64 2)) (.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) -1/12) (.f64 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) 1/4))) (.f64 x (*.f64 x (sqrt.f64 2)))))
(fma.f64 x (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) 1/4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) 1/24))) 1) (sqrt.f64 2)))
(fma.f64 x (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) 1/4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) 1/24)))) (sqrt.f64 2)))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (+.f64 (.f64 3/8 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (.f64 1/4 (-.f64 (+.f64 1/6 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3)))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5)) 1/3) (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))))) (pow.f64 x 3))) (+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6) x)) (.f64 (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 3/4 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10)) 1/3)) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/3))))))) (.f64 (sqrt.f64 2) (pow.f64 x 2))))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/48 (pow.f64 (cbrt.f64 2) 5)) (fma.f64 3/8 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2)))))))) (.f64 1/4 (+.f64 1/6 (-.f64 (.f64 -2/3 (.f64 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14))))) (.f64 2/3 (.f64 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))))))) (+.f64 (sqrt.f64 2) (fma.f64 1/2 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (.f64 3/4 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (.f64 1/3 (-.f64 1/2 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 2))))))))) (.f64 (.f64 x x) (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (.f64 x (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (fma.f64 1/8 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) -1/12) (.f64 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) 1/4))) (.f64 x (.f64 x (sqrt.f64 2))))) (fma.f64 (.f64 (sqrt.f64 2) (+.f64 (/.f64 1/48 (pow.f64 (cbrt.f64 2) 5)) (fma.f64 1/4 (+.f64 1/6 (.f64 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (-.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))))))) (.f64 (fma.f64 1/3 (+.f64 1/2 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) -1/9)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) 3/8))))) (pow.f64 x 3) (sqrt.f64 2)))
(fma.f64 (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) -1/9 (+.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/9))) 3/8) (fma.f64 1/4 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) (fma.f64 -2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 14))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 5))) -2/3)) 1/6) (/.f64 1/48 (pow.f64 (cbrt.f64 2) 5)))) 1) (sqrt.f64 2) (.f64 x (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 (cbrt.f64 2)) 1/6)) (.f64 (+.f64 (.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 2))) -1/3 1/2) 1/4) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 2) 10))) 1/24)) (*.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) 1)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1/3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 1)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 2)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/3 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/3) (log1p.f64 (exp.f64 x)))
(cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/3))
(pow.f64 (exp.f64 1/3) (log1p.f64 (exp.f64 x)))
(cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 1/3) (log1p.f64 (exp.f64 x)))
(cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(cbrt.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 1 3/2) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3/2) (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3/2))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3/2))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (sqrt.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 3))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))

eval43.0ms (1.4%)

Compiler: Compiled 1820 to 1599 computations (12.1% saved)

prune9.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Error

Counts

78 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
▶	19.5b	(pow.f64 (cbrt.f64 2) 3/2)
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	18.9b	(sqrt.f64 2)

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(cbrt.f64 2)

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite49.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`add-sqr-sqrt`
648×	`*-un-lft-identity`
638×	`associate-r`
616×	`pow1`
614×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	829	5

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(cbrt.f64 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/12) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/12) (*.f64 (pow.f64 2 1/12) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) 1/6) (*.f64 (pow.f64 (cbrt.f64 2) 1/6) (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (pow.f64 2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 5)) (pow.f64 (cbrt.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 1/6) (cbrt.f64 (cbrt.f64 2))) (pow.f64 (cbrt.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 2) 1/6)) (pow.f64 (cbrt.f64 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/12) 2) (pow.f64 (pow.f64 2 1/12) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) 1) (+.f64 (+.f64 (cbrt.f64 2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) (+.f64 1 (+.f64 (cbrt.f64 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 2)))) (sqrt.f64 (log.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 2)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 2 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 2)))))))

simplify57.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1558×	`associate-r`
1364×	`associate-/r*`
1314×	`associate-l`
1056×	`distribute-lft-out`
1006×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	846
1	258	692
2	935	674
3	5068	674

Stop Event

1×	node limit

Counts

42 → 58

Calls

Call 1

Inputs
(+.f64 (+.f64 (cbrt.f64 2) 1) -1)
(-.f64 (+.f64 (cbrt.f64 2) 1) 1)
(*.f64 (cbrt.f64 2) 1)
(*.f64 1 (cbrt.f64 2))
(*.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 2))
(*.f64 (pow.f64 2 1/12) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/12) (.f64 (pow.f64 2 1/12) (pow.f64 2 1/6)))
(.f64 (pow.f64 (cbrt.f64 2) 1/6) (.f64 (pow.f64 (cbrt.f64 2) 1/6) (cbrt.f64 (cbrt.f64 4))))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/12))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 5)) (pow.f64 (cbrt.f64 2) 1/6))
(.f64 (.f64 (pow.f64 2 1/6) (cbrt.f64 (cbrt.f64 2))) (pow.f64 (cbrt.f64 2) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 2) 1/6)) (pow.f64 (cbrt.f64 2) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) 3))
(*.f64 (pow.f64 (pow.f64 2 1/12) 2) (pow.f64 (pow.f64 2 1/12) 2))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) 1) (+.f64 (+.f64 (cbrt.f64 2) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) (+.f64 1 (+.f64 (cbrt.f64 2) 1))))
(pow.f64 2 1/3)
(pow.f64 (cbrt.f64 2) 1)
(pow.f64 (pow.f64 2 1/6) 2)
(pow.f64 (cbrt.f64 4) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)
(pow.f64 4 1/6)
(pow.f64 (exp.f64 1/3) (log.f64 2))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 2)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 2)))) (sqrt.f64 (log.f64 (cbrt.f64 2))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 2)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 2))))
(sqrt.f64 (cbrt.f64 4))
(fabs.f64 (cbrt.f64 2))
(log.f64 (exp.f64 (cbrt.f64 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 2)))
(exp.f64 (log.f64 (cbrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 2 1/6)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 2))) 3))
(log1p.f64 (expm1.f64 (cbrt.f64 2)))

Outputs
(+.f64 (+.f64 (cbrt.f64 2) 1) -1)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(-.f64 (+.f64 (cbrt.f64 2) 1) 1)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(*.f64 (cbrt.f64 2) 1)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(*.f64 1 (cbrt.f64 2))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(*.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 2))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 2 1/12) (pow.f64 2 1/4))
(.f64 (pow.f64 2 1/12) (.f64 (pow.f64 2 1/12) (pow.f64 2 1/6)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(.f64 (pow.f64 (cbrt.f64 2) 1/6) (.f64 (pow.f64 (cbrt.f64 2) 1/6) (cbrt.f64 (cbrt.f64 4))))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 2 1/4) (pow.f64 2 1/12))
(*.f64 (pow.f64 2 1/12) (pow.f64 2 1/4))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 2))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 5)) (pow.f64 (cbrt.f64 2) 1/6))
(*.f64 (pow.f64 (cbrt.f64 2) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 5)))
(*.f64 (pow.f64 (cbrt.f64 2) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 2)) 5/2))
(.f64 (.f64 (pow.f64 2 1/6) (cbrt.f64 (cbrt.f64 2))) (pow.f64 (cbrt.f64 2) 1/6))
(.f64 (pow.f64 2 1/6) (.f64 (cbrt.f64 (cbrt.f64 2)) (pow.f64 (cbrt.f64 2) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3) (pow.f64 2 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 16))) (.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))))
(.f64 (cbrt.f64 (cbrt.f64 2)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 16)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 2) 1/6)) (pow.f64 (cbrt.f64 2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 (cbrt.f64 4)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 2) 1/6) 3))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (pow.f64 (pow.f64 2 1/12) 2) (pow.f64 (pow.f64 2 1/12) 2))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) 1) (+.f64 (+.f64 (cbrt.f64 2) 1) 1))
(/.f64 (*.f64 (+.f64 (cbrt.f64 2) 2) (+.f64 (cbrt.f64 2) 0)) (+.f64 (cbrt.f64 2) 2))
(/.f64 (+.f64 2 (cbrt.f64 2)) (/.f64 (+.f64 2 (cbrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 (+.f64 2 (cbrt.f64 2)) (+.f64 2 (cbrt.f64 2))) (cbrt.f64 2))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1)) (+.f64 1 (+.f64 (cbrt.f64 2) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3) -1) (fma.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3)) (fma.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 (cbrt.f64 2) 1) (+.f64 2 (cbrt.f64 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cbrt.f64 2) 1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 2) 1) (+.f64 2 (cbrt.f64 2)))))
(pow.f64 2 1/3)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (cbrt.f64 2) 1)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (pow.f64 2 1/6) 2)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (cbrt.f64 4) 1/2)
(sqrt.f64 (cbrt.f64 4))
(pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 4 1/6)
(pow.f64 (exp.f64 1/3) (log.f64 2))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 2)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 2)))) (sqrt.f64 (log.f64 (cbrt.f64 2))))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 2)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 2))))
(sqrt.f64 (cbrt.f64 4))
(fabs.f64 (cbrt.f64 2))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(log.f64 (exp.f64 (cbrt.f64 2)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(expm1.f64 (log1p.f64 (cbrt.f64 2)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(exp.f64 (log.f64 (cbrt.f64 2)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 2 1/6)) 2))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 2))) 3))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)
(log1p.f64 (expm1.f64 (cbrt.f64 2)))
(+.f64 (cbrt.f64 2) 0)
(cbrt.f64 2)

eval19.0ms (0.6%)

Compiler: Compiled 667 to 667 computations (0% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	58	4	62

Error

Counts

62 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
✓	19.5b	(pow.f64 (cbrt.f64 2) 3/2)
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	18.9b	(sqrt.f64 2)

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes16.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(pow.f64 (cbrt.f64 2) 3/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

3 calls:

9.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
4.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
0.0b	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 58 to 47 computations (19% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-3.3%)

Threshold costs -0.6b (-3.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(pow.f64 (cbrt.f64 2) 3/2)

Outputs
(sqrt.f64 2)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
18.9b	1	`x`

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	13	20

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness66.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-/l*`
1382×	`associate-r`
1160×	`associate-/r*`
968×	`associate-l`
702×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	27	25
2	36	25
3	62	25
4	135	21
5	349	15
6	1238	15

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end17.0ms (0.6%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

Details

analyze159.0ms (5.2%)

sample1.9s (61.2%)

preprocess136.0ms (4.4%)

simplify149.0ms (4.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite90.0ms (2.9%)

simplify123.0ms (4%)

eval15.0ms (0.5%)

prune6.0ms (0.2%)

localize2.0ms (0.1%)

localize10.0ms (0.3%)

series64.0ms (2.1%)

rewrite62.0ms (2%)

simplify71.0ms (2.3%)

eval43.0ms (1.4%)

prune9.0ms (0.3%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite49.0ms (1.6%)

simplify57.0ms (1.8%)

eval19.0ms (0.6%)

prune7.0ms (0.2%)

regimes16.0ms (0.5%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness66.0ms (2.1%)

end17.0ms (0.6%)

Profiling