Details

analyze279.0ms (10.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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)

sample1.5s (54.1%)

Results

883.0ms	2742×	body	1024	valid
310.0ms	3933×	body	256	valid
200.0ms	1302×	body	512	valid
79.0ms	279×	body	2048	valid
1.0ms	5×	body	2048	infinite
1.0ms	8×	body	256	unsamplable

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-45`
2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	10	21
2	11	21
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) (+.f64 (exp.f64 x) -1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best_oopsla_all_46_json_45_simplify-45`
2×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	10	21
2	11	21

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) (+.f64 (exp.f64 x) -1))

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

40.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.8b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	4.0b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 16 to 8 computations (50% saved)

series2.0ms (0.1%)

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)

rewrite67.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1098×	`rational_best_oopsla_all_46_json_45_simplify-37`
1088×	`rational_best_oopsla_all_46_json_45_simplify-13`
1084×	`rational_best_oopsla_all_46_json_45_simplify-23`
750×	`rational_best_oopsla_all_46_json-2`
750×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	43	32
2	94	32
3	297	32
4	1372	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs
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Outputs

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simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1824×	`rational_best_oopsla_all_46_json_45_simplify-23`
1064×	`rational_best_oopsla_all_46_json_45_simplify-37`
1000×	`rational_best_oopsla_all_46_json_45_simplify-89`
836×	`rational_best_oopsla_all_46_json_45_simplify-74`
814×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	265	2203
1	1135	2203

Stop Event

1×	node limit

Counts

131 → 141

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 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 1 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
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(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(+.f64 (.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (exp.f64 x)))
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (exp.f64 x) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (.f64 0 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(+.f64 (.f64 -1 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (exp.f64 x)))
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
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(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))))
(*.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) -1)
(*.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 -1 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(*.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 (/.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 0 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (/.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 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(*.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (neg.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.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)))
(neg.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.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 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(/.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 x) (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.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 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) (*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) 0))
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(+.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 1 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (exp.f64 x) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 -1 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (exp.f64 x) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 0 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 -1 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (*.f64 (exp.f64 x) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (exp.f64 x) -1) (.f64 (*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))) (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)))))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1)) (+.f64 0 (.f64 (+.f64 (exp.f64 x) -1) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) -1) (+.f64 (exp.f64 x) -1))))))
(+.f64 (exp.f64 x) -1)
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(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 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 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) -1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (neg.f64 (/.f64 (/.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 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (/.f64 (/.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 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 -1 (/.f64 (/.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 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 (/.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (-.f64 0 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (/.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 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (/.f64 (/.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 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 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 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.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 (neg.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.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))
(neg.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))

eval46.0ms (1.7%)

Compiler: Compiled 4114 to 2280 computations (44.6% saved)

prune22.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	6	142

Error

0.6b

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	1.5b	(/.f64 (exp.f64 x) x)
▶	22.2b	(/.f64 1 x)
▶	22.5b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
▶	22.8b	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
▶	22.4b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 90 to 69 computations (23.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
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)

rewrite85.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best_oopsla_all_46_json_45_simplify-35`
912×	`rational_best_oopsla_all_46_json_45_simplify-23`
852×	`rational_best_oopsla_all_46_json_45_simplify-13`
840×	`rational_best_oopsla_all_46_json_45_simplify-37`
624×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	32	11
2	76	11
3	245	11
4	1144	11
5	6511	11

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs
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Outputs

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simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1752×	`rational_best_oopsla_all_46_json_45_simplify-89`
1432×	`rational_best_oopsla_all_46_json_45_simplify-74`
1108×	`rational_best_oopsla_all_46_json_45_simplify-49`
1032×	`rational_best_oopsla_all_46_json_45_simplify-72`
992×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	627
1	410	627
2	2428	627

Stop Event

1×	node limit

Counts

53 → 58

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 (exp.f64 x) x) 0)
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(+.f64 0 (/.f64 (exp.f64 x) x))
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(-.f64 (/.f64 (exp.f64 x) x) 0)
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(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (neg.f64 (/.f64 (exp.f64 x) x))))
(*.f64 (/.f64 (exp.f64 x) x) 1)
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(*.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
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(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))))
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))))
(*.f64 (/.f64 (exp.f64 x) x) (neg.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(.f64 (/.f64 (exp.f64 x) x) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(.f64 (/.f64 (exp.f64 x) x) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(.f64 (/.f64 (exp.f64 x) x) (.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(*.f64 1 (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))))))
(*.f64 (neg.f64 (/.f64 (exp.f64 x) x)) -1)
(*.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (.f64 -1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))))
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(*.f64 -1 (neg.f64 (/.f64 (exp.f64 x) x)))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(*.f64 (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))
(*.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (neg.f64 (/.f64 (exp.f64 x) x)))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (neg.f64 (/.f64 (exp.f64 x) x)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (neg.f64 (/.f64 (exp.f64 x) x)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(neg.f64 (neg.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 (+.f64 (/.f64 1 x) (*.f64 x 1/2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 x 1/2) (+.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 1 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/2)) (.f64 1/6 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (.f64 x 1/2))))
(+.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(+.f64 (/.f64 (exp.f64 x) x) (.f64 0 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(+.f64 (/.f64 (exp.f64 x) x) (.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(+.f64 0 (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(+.f64 (.f64 0 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) 0)
(/.f64 (exp.f64 x) x)
(-.f64 0 (neg.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(-.f64 (.f64 0 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (neg.f64 (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (neg.f64 (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) 1)
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (exp.f64 x) x) (neg.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (exp.f64 x) x) (.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(*.f64 1 (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (.f64 (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (.f64 (/.f64 (exp.f64 x) x) (/.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x))))))
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (/.f64 (exp.f64 x) x)) -1)
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (.f64 -1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (/.f64 (exp.f64 x) x)) (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))))
(/.f64 (exp.f64 x) x)
(*.f64 -1 (neg.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(*.f64 (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (exp.f64 x) x))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x))) (neg.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (*.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (.f64 (/.f64 (exp.f64 x) x) (/.f64 1 (/.f64 (exp.f64 x) x)))) (neg.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)) (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (neg.f64 (/.f64 (exp.f64 x) x)))
(/.f64 (exp.f64 x) x)
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) x)))) (/.f64 (exp.f64 x) x))
(/.f64 (exp.f64 x) x)
(neg.f64 (neg.f64 (/.f64 (exp.f64 x) x)))
(/.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 (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite51.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1296×	`rational_best_oopsla_all_46_json_45_simplify-13`
1214×	`rational_best_oopsla_all_46_json_45_simplify-37`
1054×	`rational_best_oopsla_all_46_json_45_simplify-89`
912×	`rational_best_oopsla_all_46_json_45_simplify-87`
902×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	32	7
2	94	7
3	356	7
4	1848	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

Inputs
(*.f64 x 1/12)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 (/.f64 x x) (*.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 (/.f64 x x) (*.f64 (/.f64 x x) -1/12)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 (*.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 (/.f64 (*.f64 x 1/6) (*.f64 x 1/6)) (/.f64 (*.f64 x 1/6) (*.f64 x 1/6))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (*.f64 (*.f64 (/.f64 1/12 x) (neg.f64 x)) 0))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (/.f64 1/12 x) (/.f64 1/12 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (*.f64 x (/.f64 1/12 x)) (*.f64 x (/.f64 1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (/.f64 (*.f64 x 1/6) (*.f64 x 1/6)) (/.f64 (*.f64 x 1/6) (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (*.f64 (/.f64 x x) (*.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))) (*.f64 (/.f64 x x) (*.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) x)) (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (*.f64 (*.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) (*.f64 (*.f64 x 1/12) (/.f64 1 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 1/12) (/.f64 (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x)))) (*.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x -1/12))))))

simplify96.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1412×	`rational_best_oopsla_all_46_json_45_simplify-89`
1058×	`rational_best_oopsla_all_46_json_45_simplify-74`
1046×	`rational_best_oopsla_all_46_json_45_simplify-24`
832×	`rational_best_oopsla_all_46_json_45_simplify-10`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	868
1	402	854
2	1435	850
3	5807	848

Stop Event

1×	node limit

Counts

60 → 68

Calls

Call 1

Inputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 (*.f64 x 1/12) 0)
(+.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 x x) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))) 0))
(+.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 x x) (.f64 (/.f64 x x) -1/12)) 0))
(+.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) 0))
(+.f64 (.f64 x 1/12) (.f64 (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) 0))
(+.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (*.f64 x 1/6))) 0))
(+.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x)))) 0))
(+.f64 (.f64 x 1/12) (.f64 (*.f64 (/.f64 1/12 x) (neg.f64 x)) 0))
(+.f64 (.f64 x 1/12) (.f64 (neg.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6))) 0))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (.f64 0 (.f64 (/.f64 x x) (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x))))) (*.f64 x 1/12))
(+.f64 (.f64 0 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x))) (.f64 x 1/12))
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(-.f64 (*.f64 x 1/12) 0)
(-.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 x x) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))) 0))
(-.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 x x) (.f64 (/.f64 x x) -1/12)) 0))
(-.f64 (.f64 x 1/12) (.f64 (.f64 x 1/12) (/.f64 0 (.f64 x 1/6))))
(-.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) 0))
(-.f64 (.f64 x 1/12) (.f64 (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) 0))
(-.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (*.f64 x 1/6))) 0))
(-.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x)))) 0))
(-.f64 (.f64 x 1/12) (.f64 (*.f64 (/.f64 1/12 x) (neg.f64 x)) 0))
(-.f64 (.f64 x 1/12) (.f64 (neg.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6))) 0))
(-.f64 0 (*.f64 x -1/12))
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(-.f64 0 (.f64 (/.f64 1/12 x) (neg.f64 (.f64 x x))))
(-.f64 (.f64 0 (.f64 (/.f64 x x) (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x))))) (.f64 (.f64 (/.f64 x x) (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x)))) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x))) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) (neg.f64 x)))
(-.f64 (.f64 0 (.f64 (.f64 x 1/12) (/.f64 1 (.f64 x 1/12)))) (.f64 (.f64 (.f64 x 1/12) (/.f64 1 (.f64 x 1/12))) (*.f64 x -1/12)))
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(/.f64 (*.f64 x 1/12) 1)
(/.f64 (*.f64 x 1/12) (/.f64 x x))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x 1/6) (*.f64 x 1/6)))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (*.f64 x 1/12) (/.f64 (/.f64 x x) (/.f64 x x)))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x))) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))))
(/.f64 (*.f64 x 1/12) (/.f64 (/.f64 1/12 x) (/.f64 1/12 x)))
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(/.f64 (.f64 x 1/12) (/.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) (.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) x))))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 (.f64 x 1/12) (/.f64 1 (.f64 x 1/12))) (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12)))))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x)))) (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))))
(/.f64 (*.f64 x -1/12) -1)
(neg.f64 (*.f64 x -1/12))

Outputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
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(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 (*.f64 x 1/12) 0)
(*.f64 1/12 x)
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(*.f64 1/12 x)
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(*.f64 1/12 x)
(+.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) 0))
(*.f64 1/12 x)
(+.f64 (.f64 x 1/12) (.f64 (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) 0))
(*.f64 1/12 x)
(+.f64 (.f64 x 1/12) (.f64 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (*.f64 x 1/6))) 0))
(*.f64 1/12 x)
(+.f64 (.f64 x 1/12) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x)))) 0))
(*.f64 1/12 x)
(+.f64 (.f64 x 1/12) (.f64 (*.f64 (/.f64 1/12 x) (neg.f64 x)) 0))
(*.f64 1/12 x)
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(*.f64 1/12 x)
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(-.f64 (.f64 x 1/12) (.f64 (.f64 x 1/12) (/.f64 0 (.f64 x 1/6))))
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(-.f64 (.f64 x 1/12) (.f64 (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12))) 0))
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(.f64 (.f64 x -1/12) (.f64 (.f64 1/12 x) (/.f64 -1 (*.f64 1/12 x))))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (.f64 x 1/6)))) (.f64 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (.f64 x 1/6))) (*.f64 x -1/12)))
(.f64 (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (.f64 x 1/6))) (neg.f64 (*.f64 x -1/12)))
(.f64 (.f64 (/.f64 (.f64 1/12 x) (.f64 1/12 x)) (/.f64 (.f64 1/12 x) (.f64 1/12 x))) (neg.f64 (*.f64 x -1/12)))
(-.f64 (.f64 0 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x))))) (.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x)))) (*.f64 (/.f64 x x) -1/12)))
(.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x)))) (-.f64 0 (*.f64 (/.f64 x x) -1/12)))
(neg.f64 (.f64 (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x))) (.f64 x -1/12)))
(/.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(/.f64 (*.f64 x 1/12) (/.f64 x x))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x 1/6) (*.f64 x 1/6)))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))
(*.f64 1/12 x)
(/.f64 (*.f64 x 1/12) (/.f64 (/.f64 x x) (/.f64 x x)))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x))) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x))) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x)))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 (/.f64 x x) (.f64 1/12 (/.f64 x x))) (.f64 (/.f64 x x) (*.f64 1/12 (/.f64 x x)))))
(/.f64 (*.f64 x 1/12) (/.f64 (/.f64 1/12 x) (/.f64 1/12 x)))
(/.f64 (*.f64 1/12 x) (/.f64 (/.f64 1/12 x) (/.f64 1/12 x)))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x (/.f64 1/12 x)) (*.f64 x (/.f64 1/12 x))))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (*.f64 x 1/6))))
(/.f64 (.f64 1/12 x) (/.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (/.f64 (.f64 x 1/6) (*.f64 x 1/6))))
(/.f64 (.f64 1/12 x) (/.f64 (/.f64 (.f64 1/12 x) (.f64 1/12 x)) (/.f64 (.f64 1/12 x) (*.f64 1/12 x))))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 (/.f64 x x) (.f64 1/12 (.f64 (/.f64 x x) (/.f64 x x)))) (.f64 (/.f64 x x) (.f64 1/12 (*.f64 (/.f64 x x) (/.f64 x x))))))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) x)) (.f64 x (/.f64 (*.f64 1/12 (/.f64 x x)) x))))
(*.f64 1/12 x)
(/.f64 (.f64 x 1/12) (/.f64 (.f64 (.f64 x 1/12) (/.f64 1 (.f64 x 1/12))) (.f64 (.f64 x 1/12) (/.f64 1 (*.f64 x 1/12)))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 (.f64 1/12 x) (/.f64 1 (.f64 1/12 x))) (.f64 (.f64 1/12 x) (/.f64 1 (*.f64 1/12 x)))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 1/12 (.f64 (/.f64 1 (.f64 1/12 x)) x)) (.f64 1/12 (.f64 (/.f64 1 (*.f64 1/12 x)) x))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 (.f64 1/12 x) (/.f64 -1 (.f64 1/12 x))) (.f64 (.f64 1/12 x) (/.f64 -1 (*.f64 1/12 x)))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 x (.f64 1/12 (/.f64 1 (.f64 1/12 x)))) (.f64 x (.f64 1/12 (/.f64 1 (*.f64 1/12 x))))))
(/.f64 (.f64 x 1/12) (/.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x)))) (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))))
(/.f64 (.f64 1/12 x) (/.f64 (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (.f64 1/12 (/.f64 x x)))) (.f64 x (/.f64 (.f64 1/12 (/.f64 x x)) (*.f64 1/12 (/.f64 x x))))))
(/.f64 (*.f64 x -1/12) -1)
(neg.f64 (*.f64 x -1/12))
(neg.f64 (*.f64 x -1/12))

localize20.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
✓	0.1b	(*.f64 (pow.f64 x 3) -1/720)
	0.3b	(*.f64 x 1/12)

Compiler

Compiled 50 to 39 computations (22% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	inf	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
0.0ms	x	@	-inf	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))

rewrite130.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`rational_best_oopsla_all_46_json_45_simplify-7`
846×	`rational_best_oopsla_all_46_json_45_simplify-35`
710×	`rational_best_oopsla_all_46_json_45_simplify-108`
676×	`rational_best_oopsla_all_46_json_45_simplify-80`
478×	`rational_best_oopsla_all_46_json_45_simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	91	56
2	228	56
3	849	56
4	4390	56
5	7743	56

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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(+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1072×	`rational_best_oopsla_all_46_json_45_simplify-13`
884×	`rational_best_oopsla_all_46_json_45_simplify-82`
834×	`rational_best_oopsla_all_46_json_45_simplify-72`
686×	`rational_best_oopsla_all_46_json_45_simplify-7`
674×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3400
1	636	3358
2	3258	3334

Stop Event

1×	node limit

Counts

104 → 119

Calls

Call 1

Inputs
(*.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 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 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.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 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 0 (*.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) 0))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (.f64 0 (*.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3)))) 0))
(+.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))) 0))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (.f64 (pow.f64 x 3) -1/720))
(+.f64 (.f64 0 (.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3)))) (*.f64 (pow.f64 x 3) -1/720))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))) (.f64 (pow.f64 x 3) -1/720))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) 1/720))
(-.f64 0 (.f64 (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (*.f64 (pow.f64 x 3) 1/720)))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) 0) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (*.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) 0) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (*.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (pow.f64 x 3) 1/720))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3))))) (*.f64 (pow.f64 x 3) 1/720))
(-.f64 (+.f64 0 (.f64 0 (.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3))))) (.f64 (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (.f64 0 (.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3))))) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (*.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))) (.f64 (pow.f64 x 3) 1/720))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))) (.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (.f64 0 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (.f64 (pow.f64 x 3) 1/720)))
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 (pow.f64 x 3) -1/720) (*.f64 (pow.f64 x 3) -1/720)))
(/.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) (/.f64 -1/720 (pow.f64 x 3)))))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (/.f64 (.f64 (pow.f64 x 3) -1/720) (*.f64 (pow.f64 x 3) -1/720))))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))))
(/.f64 (*.f64 (pow.f64 x 3) 1/720) -1)
(neg.f64 (*.f64 (pow.f64 x 3) 1/720))
(neg.f64 (.f64 (.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)))
(-.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 -1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(-.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (pow.f64 x 3) 1/720))
(-.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 (*.f64 -1/720 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 0)
(-.f64 0 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(-.f64 0 (.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))) (*.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (.f64 -1 (+.f64 1/2 (*.f64 x 1/12))))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) 1/2)) (.f64 x -1/12))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) 1/2)) (.f64 (*.f64 1/12 (/.f64 x x)) (neg.f64 x)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720))) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 (pow.f64 x 3) -1/720)) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 x 1/6) (.f64 x 1/6))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 (.f64 x 1/6) (.f64 x 1/6)) (.f64 x -1/12)))
(-.f64 (+.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (.f64 0 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))) (*.f64 (pow.f64 x 3) 1/720))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))) (.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 1 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) -1)
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 -1 (.f64 1 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 -1 (-.f64 (-.f64 (.f64 x -1/12) (+.f64 (/.f64 1 x) 1/2)) (*.f64 (pow.f64 x 3) -1/720)))
(.f64 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(neg.f64 (-.f64 (.f64 (pow.f64 x 3) 1/720) (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(neg.f64 (.f64 -1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))

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

eval133.0ms (4.8%)

Compiler: Compiled 8487 to 5738 computations (32.4% saved)

prune49.0ms (1.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	312	1	313
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	312	7	319

Error

0.4b

Counts

319 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	1.5b	(/.f64 (exp.f64 x) x)
✓	22.2b	(/.f64 1 x)
✓	22.5b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	22.8b	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
▶	22.4b	(+.f64 1 (/.f64 1 x))
✓	22.4b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 55 to 42 computations (23.6% saved)

localize5.0ms (0.2%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Error

0.4b

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.8b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	1.5b	(/.f64 (exp.f64 x) x)
✓	22.2b	(/.f64 1 x)
✓	22.5b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	22.8b	(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
✓	22.4b	(+.f64 1 (/.f64 1 x))
✓	22.4b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 55 to 42 computations (23.6% saved)

regimes10.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.5b	1	`x`
1.5b	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
1.5b	1	`(exp.f64 x)`

Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.7b remaining (-3.3%)

Threshold costs -0.7b (-3.3%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
22.2b	1	`x`

Compiler

Compiled 25 to 19 computations (24% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end14.0ms (0.5%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

Details

analyze279.0ms (10.1%)

sample1.5s (54.1%)

preprocess4.0ms (0.1%)

simplify7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite67.0ms (2.4%)

simplify56.0ms (2%)

eval46.0ms (1.7%)

prune22.0ms (0.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite85.0ms (3.1%)

simplify63.0ms (2.3%)

localize3.0ms (0.1%)

localize5.0ms (0.2%)

localize10.0ms (0.4%)

series1.0ms (0%)

rewrite51.0ms (1.9%)

simplify96.0ms (3.5%)

localize20.0ms (0.7%)

series2.0ms (0.1%)

rewrite130.0ms (4.7%)

simplify81.0ms (2.9%)

eval133.0ms (4.8%)

prune49.0ms (1.8%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.4%)

regimes7.0ms (0.2%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end14.0ms (0.5%)

Profiling