Details

analyze109.0ms (3.5%)

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 9 to 6 computations (33.3% saved)

sample1.8s (58.1%)

Results

917.0ms	2815×	body	1024	valid
587.0ms	3766×	body	256	valid
236.0ms	1380×	body	512	valid
84.0ms	295×	body	2048	valid
0.0ms	5×	body	256	unsamplable
0.0ms	1×	body	2048	infinite

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval0.0ms (0%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 x)
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	-inf	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	0	(expm1.f64 x)
0.0ms	x	@	inf	(expm1.f64 x)

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1282×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	137	20
2	1722	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 x)

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

Outputs

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

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

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-/r*`
994×	`unswap-sqr`
974×	`associate-/l*`
962×	`associate-*r/`
712×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1020
1	345	1020
2	1624	1014

Stop Event

1×	node limit

Counts

78 → 88

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(+.f64 (exp.f64 x) -1)
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/6 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) (exp.f64 x)) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 -1 (exp.f64 (+.f64 x x))) (+.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (exp.f64 (+.f64 x x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 1 (exp.f64 x)))))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 x)

eval16.0ms (0.5%)

Compiler: Compiled 955 to 450 computations (52.9% saved)

prune10.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Error

0.2b

Counts

89 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	1.4b	(/.f64 (exp.f64 x) x)
▶	18.3b	(/.f64 1 x)
▶	18.0b	(+.f64 (/.f64 1 x) 1/2)
▶	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 31 to 23 computations (25.8% saved)

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.3b	(*.f64 1/12 x)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0.1%)

Counts

2 → 9

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 1/12 x)
0.0ms	x	@	-inf	(*.f64 1/12 x)
0.0ms	x	@	0	(*.f64 1/12 x)
0.0ms	x	@	0	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
0.0ms	x	@	inf	(+.f64 (*.f64 1/12 x) (/.f64 1 x))

rewrite63.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1742×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1598×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	172	22
2	2161	22

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/144 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/12 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/144 (.f64 x x)) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/12 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))) (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/144 (.f64 x x)) (/.f64 (.f64 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/12 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 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 1/12 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/144 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/12 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/144 (*.f64 x x)) (-.f64 (*.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/144 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 1/144 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x)) (-.f64 (*.f64 1/144 (*.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/144 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))) (+.f64 (*.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/144 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/12 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 1/144 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/144 (*.f64 x x)) (/.f64 (*.f64 1/12 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 1/144 (*.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/144 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 1/144 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/12 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 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 1/12 x))))))

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/r*`
1192×	`associate-r`
1104×	`associate-+r+`
962×	`associate-l`
850×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1291
1	277	1177
2	1003	1147
3	5134	1147

Stop Event

1×	node limit

Counts

59 → 63

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 1/144 (.f64 x x)) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))) (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))))
(/.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/144 (.f64 x x)) (/.f64 (.f64 1/12 x) x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(/.f64 (neg.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x)))))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))

Outputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 1/1728 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(sqrt.f64 (.f64 1/144 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (/.f64 (.f64 1/144 (.f64 x x)) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x)))))
(/.f64 (.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) 1) (fma.f64 1/144 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/12 (/.f64 x x)))))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/144) -1/12)))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 1/144 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))) (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) 1) (fma.f64 1/144 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/12 (/.f64 x x)))))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/144) -1/12)))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x))))
(/.f64 (.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) 1) (fma.f64 1/144 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/12 (/.f64 x x)))))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/144) -1/12)))
(/.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/144 (.f64 x x)) (/.f64 (.f64 1/12 x) x))))
(/.f64 (.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) 1) (fma.f64 1/144 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/12 (/.f64 x x)))))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/144) -1/12)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/144 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/144)) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 1/1728 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/144 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/12 x) x)))))
(/.f64 (.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) 1) (fma.f64 1/144 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/12 (/.f64 x x)))))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/144 (*.f64 x x) -1/12)))
(/.f64 (fma.f64 1/1728 (pow.f64 x 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 x (*.f64 x 1/144) -1/12)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(fma.f64 x 1/12 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(fma.f64 x 1/12 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize2.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite254.0ms (8%)

Algorithm

1×	batch-egg-rewrite

Rules

1240×	`add-sqr-sqrt`
1228×	`*-un-lft-identity`
1140×	`add-cube-cbrt`
1124×	`add-cbrt-cube`
1112×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1525	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) x)

Outputs

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

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1270×	`associate-l`
976×	`distribute-lft-in`
972×	`distribute-rgt-in`
648×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	822
1	223	648
2	839	486
3	4905	486

Stop Event

1×	node limit

Counts

34 → 49

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x)))
(+.f64 1 (fma.f64 1/2 x (/.f64 1 x)))
(+.f64 1 (fma.f64 x 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(+.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 1/2 x (/.f64 1 x))))
(+.f64 1 (fma.f64 1/6 (*.f64 x x) (fma.f64 x 1/2 (/.f64 1 x))))
(+.f64 1 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/6) (/.f64 1 x))))
(+.f64 (fma.f64 x 1/2 (/.f64 1 x)) (fma.f64 x (*.f64 x 1/6) 1))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) x)) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 1 (/.f64 (exp.f64 x) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) (sqrt.f64 (/.f64 (exp.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 2))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 x) (exp.f64 x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (exp.f64 x) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (exp.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (exp.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (exp.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (exp.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (exp.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) x))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (/.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(pow.f64 (/.f64 (exp.f64 x) x) 1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) x)) 2)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) x)) 3)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(pow.f64 (/.f64 x (exp.f64 x)) -1)
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 2))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(log.f64 (exp.f64 (/.f64 (exp.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) x) 3))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(exp.f64 (-.f64 x (log.f64 x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (exp.f64 x) x) 1))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)

eval230.0ms (7.3%)

Compiler: Compiled 1377 to 915 computations (33.6% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	110	7	117

Error

0.2b

Counts

117 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.4b	(/.f64 (exp.f64 x) x)
✓	18.3b	(/.f64 1 x)
✓	18.0b	(+.f64 (/.f64 1 x) 1/2)
▶	18.7b	(+.f64 1 (/.f64 1 x))
✓	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	62.0b	(+.f64 1/2 (*.f64 x 1/12))

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (*.f64 x 1/12))
✓	0.3b	(*.f64 x 1/12)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 x 1/12)
0.0ms	x	@	inf	(+.f64 1/2 (*.f64 x 1/12))
0.0ms	x	@	-inf	(+.f64 1/2 (*.f64 x 1/12))
0.0ms	x	@	0	(+.f64 1/2 (*.f64 x 1/12))
0.0ms	x	@	inf	(*.f64 x 1/12)

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`add-sqr-sqrt`
1502×	`*-un-lft-identity`
1422×	`add-cube-cbrt`
1412×	`add-cbrt-cube`
1398×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	152	16
2	1837	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 x 1/12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/12)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/12 x))) (/.f64 (*.f64 (*.f64 x x) 1/144) (+.f64 1/2 (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/12 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/12 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/144)) (/.f64 1 (+.f64 1/2 (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (/.f64 1 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/144) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/144) (*.f64 1/24 x))) (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/144)) (+.f64 1/2 (*.f64 -1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/144) (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728)) (+.f64 (*.f64 (*.f64 x x) 1/144) (-.f64 1/4 (*.f64 1/24 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/144) 1/4) (-.f64 (*.f64 x 1/12) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/144))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) 1/1728))) (neg.f64 (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/144) (*.f64 1/24 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/12 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/12 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/12) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) 1/2)))))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-/l*`
984×	`associate-r`
806×	`associate-+r+`
768×	`associate-l`
666×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1019
1	254	915
2	892	851
3	4103	851

Stop Event

1×	node limit

Counts

69 → 56

Calls

Call 1

Inputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1/2
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 -1/12 x))) (/.f64 (.f64 (.f64 x x) 1/144) (+.f64 1/2 (.f64 -1/12 x))))
(*.f64 (fma.f64 x 1/12 1/2) 1)
(*.f64 1 (fma.f64 x 1/12 1/2))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))
(.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144)) (/.f64 1 (+.f64 1/2 (.f64 -1/12 x))))
(.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (/.f64 1 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (*.f64 1/24 x)))))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/12 x)) (-.f64 1/4 (.f64 (*.f64 x x) 1/144))))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x))) (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728))))
(/.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144)) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (+.f64 (.f64 (.f64 x x) 1/144) (-.f64 1/4 (.f64 1/24 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/144) 1/4) (-.f64 (*.f64 x 1/12) 1/2))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728))) (neg.f64 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x)))))
(pow.f64 (fma.f64 x 1/12 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 x 1/12 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 1 (*.f64 x 1/12) 1/2)
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) 1/2)

Outputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1/2
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(*.f64 1/12 x)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 1/12 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 1/12 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(sqrt.f64 (.f64 (.f64 x x) 1/144))
(sqrt.f64 (.f64 x (.f64 x 1/144)))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 1/12 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(*.f64 1/12 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(-.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)
(fma.f64 1/12 x 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (.f64 -1/12 x))) (/.f64 (.f64 (.f64 x x) 1/144) (+.f64 1/2 (.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(*.f64 (fma.f64 x 1/12 1/2) 1)
(fma.f64 1/12 x 1/2)
(*.f64 1 (fma.f64 x 1/12 1/2))
(fma.f64 1/12 x 1/2)
(*.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))
(fma.f64 1/12 x 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144)) (/.f64 1 (+.f64 1/2 (.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (/.f64 1 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (*.f64 1/24 x)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) 1) (+.f64 1/4 (+.f64 (.f64 x (.f64 x 1/144)) (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (+.f64 1/4 (.f64 x (-.f64 (.f64 x 1/144) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 x (fma.f64 x 1/144 -1/24) 1/4))
(/.f64 1 (/.f64 (+.f64 1/2 (.f64 -1/12 x)) (-.f64 1/4 (.f64 (*.f64 x x) 1/144))))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x))) (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) 1) (+.f64 1/4 (+.f64 (.f64 x (.f64 x 1/144)) (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (+.f64 1/4 (.f64 x (-.f64 (.f64 x 1/144) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 x (fma.f64 x 1/144 -1/24) 1/4))
(/.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144)) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) 1) (+.f64 1/4 (+.f64 (.f64 x (.f64 x 1/144)) (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (+.f64 1/4 (.f64 x (-.f64 (.f64 x 1/144) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 x (fma.f64 x 1/144 -1/24) 1/4))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728)) (+.f64 (.f64 (.f64 x x) 1/144) (-.f64 1/4 (.f64 1/24 x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) 1) (+.f64 1/4 (+.f64 (.f64 x (.f64 x 1/144)) (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (+.f64 1/4 (.f64 x (-.f64 (.f64 x 1/144) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 x (fma.f64 x 1/144 -1/24) 1/4))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/144) 1/4) (-.f64 (*.f64 x 1/12) 1/2))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(/.f64 (neg.f64 (-.f64 1/4 (.f64 (.f64 x x) 1/144))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (.f64 x (.f64 x 1/144))) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (+.f64 1/4 (.f64 (.f64 x x) -1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 x (*.f64 x 1/144) -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 x (*.f64 x -1/144) 1/4) (fma.f64 x -1/12 1/2))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) 1/1728))) (neg.f64 (+.f64 1/4 (-.f64 (.f64 (.f64 x x) 1/144) (.f64 1/24 x)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) 1) (+.f64 1/4 (+.f64 (.f64 x (.f64 x 1/144)) (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (+.f64 1/4 (.f64 x (-.f64 (.f64 x 1/144) 1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 x (fma.f64 x 1/144 -1/24) 1/4))
(pow.f64 (fma.f64 x 1/12 1/2) 1)
(fma.f64 1/12 x 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)
(fma.f64 1/12 x 1/2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)
(fma.f64 1/12 x 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)
(fma.f64 1/12 x 1/2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))
(fma.f64 1/12 x 1/2)
(log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))
(fma.f64 1/12 x 1/2)
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 1/2)) 1))
(fma.f64 1/12 x 1/2)
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(fma.f64 x 1/12 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 1 (*.f64 x 1/12) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (sqrt.f64 (.f64 x 1/12)) (sqrt.f64 (.f64 x 1/12)) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/12)) 2) (cbrt.f64 (.f64 x 1/12)) 1/2)
(fma.f64 1/12 x 1/2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite49.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`add-sqr-sqrt`
1252×	`*-un-lft-identity`
1176×	`add-cube-cbrt`
1166×	`add-cbrt-cube`
1154×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	128	13
2	1607	13

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1738×	`associate-/l*`
902×	`associate-/r*`
750×	`associate-r`
586×	`associate-l`
426×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	735
1	183	705
2	565	565
3	2638	565

Stop Event

1×	node limit

Counts

33 → 39

Calls

Call 1

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

Outputs
(/.f64 1 x)
1
1
(-.f64 (+.f64 1 (+.f64 1 (/.f64 1 x))) 1)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 1 (+.f64 1 (/.f64 1 x)))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (+.f64 1 (/.f64 1 x)) 1)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (hypot.f64 1 (pow.f64 x -1/2)))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (-.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(*.f64 (+.f64 1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) 1) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x)))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -2))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 1 (pow.f64 x -3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) 1) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x)))
(/.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (/.f64 1 x)))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) 1) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x)))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) 1) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 x -2) 1) (-.f64 (/.f64 1 x) 1))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x -2))) (neg.f64 (-.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x -3)) 1) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (+.f64 (pow.f64 x -2) (/.f64 -1 x))))
(/.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (+.f64 1 (pow.f64 x -2)) (/.f64 -1 x)))
(pow.f64 (+.f64 1 (/.f64 1 x)) 1)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(pow.f64 (hypot.f64 1 (pow.f64 x -1/2)) 2)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 3)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) 1/3)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 2))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(exp.f64 (log1p.f64 (/.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 x))))
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) 1)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1)
(+.f64 (+.f64 2 (/.f64 1 x)) -1)
(+.f64 1 (+.f64 (/.f64 1 x) 0))
(+.f64 1 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))

eval22.0ms (0.7%)

Compiler: Compiled 969 to 784 computations (19.1% saved)

prune16.0ms (0.5%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	95	7	102

Error

Counts

102 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.4b	(/.f64 (exp.f64 x) x)
✓	18.3b	(/.f64 1 x)
✓	18.0b	(+.f64 (/.f64 1 x) 1/2)
✓	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	61.6b	1
	61.8b	1/2

Compiler

Compiled 35 to 27 computations (22.9% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.4b	(/.f64 (exp.f64 x) x)
✓	18.3b	(/.f64 1 x)
✓	18.0b	(+.f64 (/.f64 1 x) 1/2)
✓	18.0b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	61.6b	1
	61.8b	1/2

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes21.0ms (0.7%)

Counts

10 → 1

Calls

Call 1

Inputs
1/2
1
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Calls

3 calls:

14.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0.3b	1	`(exp.f64 x)`

Compiler

Compiled 59 to 39 computations (33.9% saved)

regimes7.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
1/2
1
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 (exp.f64 x) x)

Outputs
(/.f64 (exp.f64 x) x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
1/2
1
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
18.0b	1	`x`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes10.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1/2
1
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
18.0b	1	`x`

Compiler

Compiled 23 to 18 computations (21.7% saved)

regimes5.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
1/2
1
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1 (/.f64 1 x))

Outputs
(/.f64 1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
18.3b	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.2b remaining (-0.4%)

Threshold costs -0.2b (-0.4%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
1

Outputs
1

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.6b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	73
1	22	73

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)
1
1/2

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 1 x)
1
1/2

Compiler

Compiled 35 to 27 computations (22.9% saved)

soundness16.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	14	15
2	15	15

Stop Event

1×

saturated

Compiler

Compiled 13 to 7 computations (46.2% saved)

end33.0ms (1.1%)

Compiler: Compiled 29 to 20 computations (31% saved)

Details

analyze109.0ms (3.5%)

sample1.8s (58.1%)

preprocess4.0ms (0.1%)

simplify24.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite53.0ms (1.7%)

simplify42.0ms (1.3%)

eval16.0ms (0.5%)

prune10.0ms (0.3%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite63.0ms (2%)

simplify56.0ms (1.8%)

localize5.0ms (0.2%)

localize2.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite254.0ms (8%)

simplify47.0ms (1.5%)

eval230.0ms (7.3%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

series0.0ms (0%)

rewrite53.0ms (1.7%)

simplify54.0ms (1.7%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.6%)

simplify48.0ms (1.5%)

eval22.0ms (0.7%)

prune16.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes21.0ms (0.7%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

simplify6.0ms (0.2%)

soundness16.0ms (0.5%)

end33.0ms (1.1%)

Profiling