Details

analyze115.0ms (3.6%)

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)

sample1.2s (39.2%)

Results

657.0ms	2708×	body	1024	valid
288.0ms	3917×	body	256	valid
207.0ms	1354×	body	512	valid
82.0ms	277×	body	2048	valid
0.0ms	2×	body	2048	infinite
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess5.0ms (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)

simplify11.0ms (0.3%)

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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 4 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 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))

rewrite57.0ms (1.8%)

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	15
1	137	15
2	1722	15

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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))))))))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-r`
1276×	`associate-l`
1040×	`distribute-lft-in`
1024×	`distribute-rgt-in`
658×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	813
1	236	789
2	873	789
3	4944	789

Stop Event

1×	node limit

Counts

43 → 50

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))
(-.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))))

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))
(-.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 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (*.f64 (sqrt.f64 (expm1.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 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (*.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)) (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 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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 (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 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (exp.f64 x) (*.f64 (sqrt.f64 (expm1.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))))
(*.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 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)))
(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))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	5.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite58.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1564×	`add-cube-cbrt`
1546×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	166	20
2	2115	20

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

Outputs

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

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

simplify49.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/r*`
1162×	`associate-*r/`
1150×	`associate-/l*`
938×	`unswap-sqr`
812×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	1513
1	417	1453
2	1815	1291

Stop Event

1×	node limit

Counts

75 → 101

Calls

Call 1

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

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

eval26.0ms (0.8%)

Compiler: Compiled 1700 to 776 computations (54.4% saved)

prune15.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	146	5	151
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	146	7	153

Error

0.2b

Counts

153 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	1.8b	(/.f64 (exp.f64 x) x)
▶	19.0b	(/.f64 1 x)
▶	18.7b	(+.f64 (/.f64 1 x) 1/2)
▶	18.5b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	18.7b	(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Compiler

Compiled 96 to 73 computations (24% 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
0.0ms	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)

rewrite49.0ms (1.5%)

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)))))))

simplify50.0ms (1.6%)

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)

localize3.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.4b	(*.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 (*.f64 1/12 x) (/.f64 1 x))
0.0ms	x	@	-inf	(*.f64 1/12 x)
0.0ms	x	@	inf	(*.f64 1/12 x)
0.0ms	x	@	0	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
0.0ms	x	@	0	(*.f64 1/12 x)

rewrite60.0ms (1.9%)

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))))))

simplify62.0ms (2%)

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)))

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.2b	(*.f64 -1/720 (pow.f64 x 3))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 56 to 43 computations (23.2% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/720 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))
0.0ms	x	@	0	(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))

rewrite88.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`associate-*r/`
1224×	`associate-*l/`
418×	`associate-/r*`
288×	`add-sqr-sqrt`
272×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	294	42
2	3713	42

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/720)) 2) (*.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))))))

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-/l/`
1138×	`associate-/r/`
802×	`associate-+l+`
712×	`associate-+r+`
670×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	340	9221
1	997	8923
2	4545	8923

Stop Event

1×	node limit

Counts

129 → 183

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(/.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) 1) (/.f64 1 x))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x)) -1)
(/.f64 (.f64 1 (.f64 (*.f64 x x) -1/720)) (/.f64 1 x))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 x x) -1/720)) (pow.f64 x -1/2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 x x) -1/720)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) -1/720)) -1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) (-.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 1 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/12))) (-.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (-.f64 (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))) 1)
(-.f64 (+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 x 1/12)))) 1)
(-.f64 (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 1) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 (*.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (*.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))) (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3))) (+.f64 (.f64 (pow.f64 x 6) 1/518400) (+.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (-.f64 (.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (pow.f64 x 6) 1/518400)) (.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))) (-.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) 1/518400) 3) (pow.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (pow.f64 x 6) 1/518400)) (-.f64 (.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))) (.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3))))))))
(/.f64 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
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(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
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(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) 1) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (sqrt.f64 x)) (pow.f64 x -1/2))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) -1/720))
(.f64 (/.f64 -1/720 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (.f64 x x))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 x) (.f64 -1/720 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 x (.f64 x -1/720)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x)) -1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 1 (.f64 (*.f64 x x) -1/720)) (/.f64 1 x))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (sqrt.f64 x) (.f64 (*.f64 x x) -1/720)) (pow.f64 x -1/2))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (pow.f64 x -1/2) (sqrt.f64 x)))
(/.f64 (.f64 (.f64 x x) (sqrt.f64 x)) (/.f64 (pow.f64 x -1/2) -1/720))
(.f64 (/.f64 -1/720 (/.f64 (pow.f64 x -1/2) (sqrt.f64 x))) (.f64 x x))
(/.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 x x) -1/720)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (.f64 x (.f64 x -1/720)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 x) (.f64 -1/720 (.f64 (.f64 x x) (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 x (.f64 x -1/720)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) -1/720)) -1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/720)) 3)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(*.f64 -1/720 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(*.f64 -1/720 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3)))) (-.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 1 (*.f64 -1/720 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 1 (*.f64 1/720 (pow.f64 x 3))))
(fma.f64 -1/720 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x 1/12))) (-.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/518400) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2) (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (-.f64 (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))) (.f64 -1/720 (pow.f64 x 3))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (fma.f64 x 1/12 (/.f64 -1 x))) (+.f64 (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 1/720 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (+.f64 1 (*.f64 1/720 (pow.f64 x 3))))
(fma.f64 -1/720 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 (pow.f64 (.f64 x 1/12) 2) (+.f64 (.f64 x 1/12) (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (+.f64 (.f64 x 1/12) (/.f64 -1 x))))
(-.f64 (/.f64 (pow.f64 (.f64 x 1/12) 2) (fma.f64 x 1/12 (/.f64 -1 x))) (+.f64 (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))) (.f64 1/720 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 (.f64 (.f64 x x) 1/144) (fma.f64 x 1/12 (/.f64 -1 x)))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 -1 x))))
(-.f64 (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))) 1)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (+.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (/.f64 1 x)) (exp.f64 (log1p.f64 (.f64 x 1/12)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(-.f64 (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 3) (.f64 x 1/12)) 1) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) 1) (fma.f64 1/12 x (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (*.f64 x 1/12)) (expm1.f64 (log1p.f64 (/.f64 1 x))))
(*.f64 1 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (/.f64 1 (-.f64 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(.f64 (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))) (-.f64 (*.f64 (pow.f64 x 6) 1/518400) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2)))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 -1/720 (pow.f64 x 3)))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 6) 1/518400) (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (-.f64 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (pow.f64 x 6) 1/518400 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 1/720 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/373248000 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 3)) (fma.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (.f64 (pow.f64 x 3) 1/720)) (.f64 (pow.f64 x 6) 1/518400)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 1)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 2)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 3)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3) 1/3)
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 2))
(fabs.f64 (fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x))))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))) 3))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))) 1))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (*.f64 -1/720 (pow.f64 x 3)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 1 x)) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/720)) 2) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (*.f64 -1/720 (pow.f64 x 3)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/720)) 2) (.f64 x (cbrt.f64 -1/720)) (fma.f64 x 1/12 (/.f64 1 x)))
(fma.f64 1/12 x (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) (/.f64 1 x)))

eval181.0ms (5.7%)

Compiler: Compiled 9637 to 7454 computations (22.7% saved)

prune52.0ms (1.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	356	2	358
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	357	8	365

Error

0.1b

Counts

365 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.8b	(/.f64 (exp.f64 x) x)
✓	19.0b	(/.f64 1 x)
✓	18.7b	(+.f64 (/.f64 1 x) 1/2)
▶	19.3b	(+.f64 1 (/.f64 1 x))
▶	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.5b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 66 to 49 computations (25.8% saved)

localize28.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	0.1b	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
✓	0.2b	(.f64 -1/720 (.f64 x x))
	0.4b	(*.f64 1/12 x)

Compiler

Compiled 86 to 51 computations (40.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 -1/720 (.f64 x x))
0.0ms	x	@	inf	(.f64 -1/720 (.f64 x x))
0.0ms	x	@	0	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
0.0ms	x	@	-inf	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))
0.0ms	x	@	inf	(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`add-sqr-sqrt`
1484×	`*-un-lft-identity`
1386×	`add-cube-cbrt`
1372×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	187	26
2	2348	26

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(.f64 -1/720 (.f64 x x))
(.f64 (.f64 -1/720 (*.f64 x x)) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/720 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/720 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/720)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/720 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/720 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/518400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/720 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/720 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/720 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/720 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/720 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/720 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 -1/720) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/720 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/518400 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))))))

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1918×	`distribute-rgt-in`
1874×	`distribute-lft-in`
1468×	`associate-l`
1084×	`associate-+r+`
1044×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	796
1	184	724
2	699	658
3	3110	658

Stop Event

1×	node limit

Counts

50 → 34

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 2))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 -1/720 (.f64 x x))) 1)
(pow.f64 (.f64 -1/720 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/720)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/720 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 -1/720 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/518400))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/720))
(cbrt.f64 (pow.f64 (.f64 -1/720 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/720 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -1/720 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/720 (.f64 x x))))
(-.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(-.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/720 (pow.f64 x 3))) 2)
(pow.f64 (*.f64 (cbrt.f64 -1/720) x) 3)
(pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(neg.f64 (*.f64 -1/720 (pow.f64 x 3)))
(sqrt.f64 (.f64 1/518400 (pow.f64 (.f64 x x) 3)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))

Outputs
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 -1/720 (pow.f64 x 2))
(.f64 -1/720 (.f64 x x))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(*.f64 1/720 (pow.f64 x 3))
(-.f64 (+.f64 1 (.f64 -1/720 (.f64 x x))) 1)
(.f64 -1/720 (.f64 x x))
(pow.f64 (.f64 -1/720 (.f64 x x)) 1)
(.f64 -1/720 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/720)) 2)
(.f64 -1/720 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 -1/720 (.f64 x x))) 3)
(.f64 -1/720 (.f64 x x))
(pow.f64 (pow.f64 (.f64 -1/720 (.f64 x x)) 3) 1/3)
(.f64 -1/720 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/518400))
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) -1/720))
(.f64 -1/720 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 -1/720 (.f64 x x)) 3))
(.f64 -1/720 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 -1/720 (.f64 x x))))
(.f64 -1/720 (.f64 x x))
(exp.f64 (log.f64 (.f64 -1/720 (.f64 x x))))
(.f64 -1/720 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (*.f64 x x))) 1))
(.f64 -1/720 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -1/720 (.f64 x x))))
(.f64 -1/720 (.f64 x x))
(-.f64 0 (*.f64 -1/720 (pow.f64 x 3)))
(*.f64 1/720 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (*.f64 -1/720 (pow.f64 x 3))) 2)
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (cbrt.f64 -1/720) x) 3)
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(neg.f64 (*.f64 -1/720 (pow.f64 x 3)))
(*.f64 1/720 (pow.f64 x 3))
(sqrt.f64 (.f64 1/518400 (pow.f64 (.f64 x x) 3)))
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/720 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 3))) 1))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/720 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/720 (pow.f64 x 3)) 0)
(*.f64 -1/720 (pow.f64 x 3))

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))

rewrite50.0ms (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)))))

simplify53.0ms (1.7%)

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)))

eval51.0ms (1.6%)

Compiler: Compiled 2707 to 1950 computations (28% saved)

prune18.0ms (0.6%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	135	9	144

Error

Counts

144 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.8b	(/.f64 (exp.f64 x) x)
✓	19.0b	(/.f64 1 x)
✓	18.7b	(+.f64 (/.f64 1 x) 1/2)
▶	39.1b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (.f64 1/12 x)))))
✓	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.5b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	61.5b	1

Compiler

Compiled 93 to 68 computations (26.9% saved)

localize60.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/144 (.f64 x x))
	0.2b	(.f64 -1/720 (.f64 x x))
	0.4b	(*.f64 1/12 x)
✓	27.8b	(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))

Compiler

Compiled 142 to 85 computations (40.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
1.0ms	x	@	-inf	(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
0.0ms	x	@	inf	(.f64 1/144 (.f64 x x))
0.0ms	x	@	0	(.f64 1/144 (.f64 x x))

rewrite90.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/r/`
964×	`associate-/l/`
344×	`add-sqr-sqrt`
324×	`add-exp-log`
324×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	347	32
2	4819	32

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(.f64 1/144 (.f64 x x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/144)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/144)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2985984 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/144) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/144)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/2985984 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/144))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/144))))))))

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-lft-neg-in`
666×	`associate-r`
650×	`associate-+r+`
626×	`+-commutative`
518×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	297	6169
1	961	4875
2	5082	4875

Stop Event

1×	node limit

Counts

115 → 157

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.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 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(+.f64 (*.f64 x 1/12) (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x)))))
(+.f64 (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x x)))) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (-.f64 (pow.f64 x -3) (*.f64 1/1728 (pow.f64 x 3)))))
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1)
(.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))
(.f64 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) 1) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (neg.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (neg.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (neg.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -2) (.f64 (.f64 x -1/12) (.f64 x -1/12)))) (-.f64 (/.f64 1 x) (*.f64 x -1/12)))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (pow.f64 x -3) (pow.f64 (.f64 x -1/12) 3))) (-.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x -1/12) (.f64 x -1/12))) (.f64 (/.f64 1 x) (*.f64 x -1/12))))
(.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))))
(.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (neg.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4)))) (+.f64 (pow.f64 x -2) (.f64 (*.f64 x x) -1/144)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -4) (.f64 1/20736 (pow.f64 x 4))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))) (+.f64 (pow.f64 x -4) (-.f64 (.f64 1/20736 (pow.f64 x 4)) (.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (-.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (.f64 (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))) (-.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 x -6) (.f64 1/2985984 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (pow.f64 (pow.f64 x -4) 3) (pow.f64 (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x -4) (pow.f64 x -4)) (.f64 (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))))) (.f64 (pow.f64 x -4) (.f64 (.f64 x (.f64 x 1/144)) (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144)))))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (sqrt.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (cbrt.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (pow.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 3) 1/3)
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/12) x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/144)))) 1)
(pow.f64 (.f64 x (.f64 x 1/144)) 1)
(pow.f64 (*.f64 x 1/12) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)
(pow.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/144) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/144)))))
(cbrt.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/144))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/144))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/144))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/144))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 1/12 x) (/.f64 1 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 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 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(*.f64 1/144 (pow.f64 x 2))
(.f64 x (.f64 x 1/144))
(+.f64 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(+.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (/.f64 1/144 (fma.f64 x -1/12 (/.f64 1 x)))))
(+.f64 (neg.f64 (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x x)))) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (*.f64 x -1/12))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (/.f64 1/144 (fma.f64 x -1/12 (/.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (/.f64 1/144 (/.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (/.f64 1/144 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 x x)))
(-.f64 (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 1 x))) (.f64 (.f64 x x) (/.f64 1/144 (fma.f64 x -1/12 (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (*.f64 x 1/12)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (expm1.f64 (log1p.f64 (*.f64 x 1/12))))
(-.f64 (+.f64 (*.f64 x 1/12) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(fma.f64 x 1/12 (expm1.f64 (log1p.f64 (/.f64 1 x))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(/.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (-.f64 (pow.f64 x -3) (*.f64 1/1728 (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/144) (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3))))
(.f64 1 (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(/.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) 2)) (.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144))))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) 2)) (/.f64 (fma.f64 x -1/12 (/.f64 1 x)) (cbrt.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 1 (+.f64 (/.f64 1 x) (.f64 x -1/12))))
(/.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(.f64 (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))))
(neg.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))))))
(.f64 1 (/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))))
(/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (.f64 (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) (sqrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2))
(/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (/.f64 (+.f64 (fma.f64 x (*.f64 x 1/144) (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))))
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(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12))) 2))))
(/.f64 (/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2)) (cbrt.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))) 2))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))))
(.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)))) (pow.f64 (cbrt.f64 (fma.f64 x -1/12 (/.f64 1 x))) 2)) (cbrt.f64 (+.f64 (fma.f64 x (*.f64 x 1/144) (pow.f64 x -2)) 1/12)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 2)) (pow.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (pow.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144))) 2)) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(.f64 (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (pow.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) 2)) (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3))))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x 1/144))) (/.f64 x (/.f64 x 1/12))))
(.f64 (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12) (.f64 (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12) (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (*.f64 (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3))))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144))))))
(/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (/.f64 1 x) (.f64 x 1/12)))
(.f64 (fma.f64 x 1/12 (/.f64 1 x)) (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144))))))
(/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (fma.f64 x 1/12 (/.f64 1 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (.f64 x -1/12)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (*.f64 x 1/12) x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3))) (/.f64 (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12) (fma.f64 x -1/12 (/.f64 1 x))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))))) (.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x))))
(.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144)))))
(.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12)) (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (.f64 (-.f64 (pow.f64 x -3) (.f64 1/1728 (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)))) (.f64 (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 (.f64 x 1/12) x)) (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x 1/144))) (/.f64 x (/.f64 x 1/12)))) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (.f64 x -1/12))) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12)) (.f64 x (.f64 x 1/144)))) (+.f64 (pow.f64 x -3) (.f64 -1/1728 (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (.f64 x (*.f64 x -1/144)))))
(.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (+.f64 (fma.f64 x (.f64 x 1/144) (pow.f64 x -2)) 1/12)) (/.f64 (.f64 (fma.f64 x -1/12 (/.f64 1 x)) (fma.f64 x (.f64 x -1/144) (pow.f64 x -2))) (.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) (fma.f64 (pow.f64 x 3) -1/1728 (pow.f64 x -3)))))
(pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 2)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) 3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 3) 1/3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (/.f64 1 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) -1)
(fma.f64 x 1/12 (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) (neg.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)))))
(neg.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) (/.f64 1 (neg.f64 (+.f64 (/.f64 1 x) (.f64 x -1/12))))))
(.f64 1 (/.f64 (fma.f64 x (.f64 x -1/144) (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 x 1/12 (/.f64 1 x)))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (pow.f64 (exp.f64 1/12) x)))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/144)) 3) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x -2) (.f64 x (.f64 x -1/144))) 3) (pow.f64 (+.f64 (/.f64 1 x) (*.f64 x -1/12)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/144) (pow.f64 x -2)) 3) (pow.f64 (fma.f64 x -1/12 (/.f64 1 x)) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12))) 1))
(fma.f64 x 1/12 (/.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/144)))) 1)
(.f64 x (.f64 x 1/144))
(pow.f64 (.f64 x (.f64 x 1/144)) 1)
(.f64 x (.f64 x 1/144))
(pow.f64 (*.f64 x 1/12) 2)
(.f64 x (.f64 x 1/144))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 3)
(pow.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/2985984 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/20736 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/144) (*.f64 x x)))
(.f64 x (.f64 x 1/144))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/144)))))
(.f64 x (.f64 x 1/144))
(cbrt.f64 (.f64 1/2985984 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/2985984 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/144))))
(.f64 x (.f64 x 1/144))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/144))))
(.f64 x (.f64 x 1/144))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/144))) 1))
(.f64 x (.f64 x 1/144))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/144))))
(.f64 x (.f64 x 1/144))

eval119.0ms (3.7%)

Compiler: Compiled 7653 to 5287 computations (30.9% saved)

prune30.0ms (1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	186	9	195

Error

Counts

195 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	0.3b	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	1.8b	(/.f64 (exp.f64 x) x)
✓	19.0b	(/.f64 1 x)
✓	18.7b	(+.f64 (/.f64 1 x) 1/2)
✓	39.1b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (.f64 1/12 x)))))
✓	18.7b	(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
✓	18.5b	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
	61.5b	1

Compiler

Compiled 93 to 68 computations (26.9% saved)

regimes14.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
1
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (.f64 1/12 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:

6.0ms	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 118 to 80 computations (32.2% saved)

regimes15.0ms (0.5%)

Counts

9 → 2

Calls

Call 1

Inputs
1
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (/.f64 (-.f64 (pow.f64 x -2) (.f64 1/144 (.f64 x x))) (-.f64 (/.f64 1 x) (.f64 1/12 x)))))

Outputs
(/.f64 (exp.f64 x) x)
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.6b	2	`x`

Compiler

Compiled 95 to 68 computations (28.4% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-32041546526.706673	-0.024094536681212454

Results

14.0ms

160×

body

256

valid

Compiler

Compiled 292 to 218 computations (25.3% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x))))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
18.5b	1	`x`

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
18.7b	1	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -42.7b remaining (-224.5%)

Threshold costs -42.7b (-224.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
19.0b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
20×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`
8×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	140
1	45	140
2	54	136
3	70	136
4	79	136
5	83	136
6	84	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) 1/2)
(/.f64 1 x)
1

Outputs
(/.f64 (exp.f64 x) (expm1.f64 x))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 1/12 x) (/.f64 1 x)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (/.f64 (.f64 (.f64 -1/720 (.f64 x x)) (neg.f64 x)) -1) (+.f64 (.f64 x 1/12) (/.f64 1 x)))))
(if (<=.f64 x -4278419646001971/1125899906842624) (/.f64 (exp.f64 x) x) (+.f64 1/2 (+.f64 (/.f64 (.f64 x (.f64 (.f64 x x) 1/720)) -1) (+.f64 (.f64 x 1/12) (/.f64 1 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

Compiler

Compiled 56 to 42 computations (25% saved)

soundness15.0ms (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)

end42.0ms (1.3%)

Compiler: Compiled 51 to 36 computations (29.4% saved)

Details

analyze115.0ms (3.6%)

sample1.2s (39.2%)

preprocess5.0ms (0.1%)

simplify11.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite57.0ms (1.8%)

simplify53.0ms (1.7%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite58.0ms (1.8%)

simplify49.0ms (1.5%)

eval26.0ms (0.8%)

prune15.0ms (0.5%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (1.5%)

simplify50.0ms (1.6%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite60.0ms (1.9%)

simplify62.0ms (2%)

localize21.0ms (0.7%)

series2.0ms (0%)

rewrite88.0ms (2.8%)

simplify112.0ms (3.5%)

eval181.0ms (5.7%)

prune52.0ms (1.6%)

localize28.0ms (0.9%)

series1.0ms (0%)

rewrite55.0ms (1.7%)

simplify49.0ms (1.6%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (1.6%)

simplify53.0ms (1.7%)

eval51.0ms (1.6%)

prune18.0ms (0.6%)

localize60.0ms (1.9%)

series2.0ms (0.1%)

rewrite90.0ms (2.8%)

simplify89.0ms (2.8%)

eval119.0ms (3.7%)

prune30.0ms (1%)

regimes14.0ms (0.4%)

regimes15.0ms (0.5%)

bsearch16.0ms (0.5%)

regimes9.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

soundness15.0ms (0.5%)

end42.0ms (1.3%)

Profiling