Details

analyze0.0ms (0%)

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
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample680.0ms (21.8%)

Results

669.0ms

8256×

body

256

valid

Bogosity

preprocess140.0ms (4.5%)

Algorithm

2×	egg-herbie

Rules

1516×	`rational_best_oopsla_all_46_json_45_simplify-89`
1398×	`rational_best_oopsla_all_46_json_45_simplify-74`
1052×	`rational_best_oopsla_all_46_json_45_simplify-24`
984×	`rational_best_oopsla_all_46_json_45_simplify-7`
850×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	16	25
2	21	25
3	44	25
4	110	25
5	398	25
6	2148	25
7	7379	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify142.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1516×	`rational_best_oopsla_all_46_json_45_simplify-89`
1398×	`rational_best_oopsla_all_46_json_45_simplify-74`
1052×	`rational_best_oopsla_all_46_json_45_simplify-24`
984×	`rational_best_oopsla_all_46_json_45_simplify-7`
850×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	16	25
2	21	25
3	44	25
4	110	25
5	398	25
6	2148	25
7	7379	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite142.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1588×	`rational_best_oopsla_all_46_json_45_simplify-23`
1468×	`rational_best_oopsla_all_46_json_45_simplify-13`
992×	`rational_best_oopsla_all_46_json-2`
992×	`rational_best_oopsla_all_46_json-1`
992×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	57	44
2	127	44
3	398	44
4	1814	44

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Outputs
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Outputs

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simplify96.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1270×	`rational_best_oopsla_all_46_json_45_simplify-72`
1218×	`rational_best_oopsla_all_46_json_45_simplify-82`
866×	`rational_best_oopsla_all_46_json_45_simplify-23`
826×	`rational_best_oopsla_all_46_json_45_simplify-35`
636×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	2394
1	764	2394
2	4049	2394

Stop Event

1×	node limit

Counts

108 → 104

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (.f64 -1/2 (pow.f64 x 2))) (+.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
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(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 (.f64 0 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
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(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
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(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
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(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 -1 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 -1 (+.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 -1 (+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 0 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 0 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (neg.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
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(.f64 (.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

eval91.0ms (2.9%)

Compiler: Compiled 3119 to 954 computations (69.4% saved)

prune14.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Error

Counts

105 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	14.5b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
▶	30.9b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
▶	30.8b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	30.4b	1

Compiler

Compiled 41 to 35 computations (14.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.0b	(pow.f64 x 2)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite105.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best_oopsla_all_46_json_45_simplify-23`
908×	`rational_best_oopsla_all_46_json_45_simplify-35`
908×	`rational_best_oopsla_all_46_json_45_simplify-37`
890×	`rational_best_oopsla_all_46_json_45_simplify-13`
618×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	39	20
2	86	20
3	264	20
4	1244	20
5	6614	20

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs
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Outputs

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simplify92.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational_best_oopsla_all_46_json_45_simplify-49`
1418×	`rational_best_oopsla_all_46_json_45_simplify-102`
1276×	`rational_best_oopsla_all_46_json_45_simplify-72`
768×	`rational_best_oopsla_all_46_json_45_simplify-23`
654×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1344
1	715	1308
2	3463	1282

Stop Event

1×	node limit

Counts

118 → 129

Calls

Call 1

Inputs
(+.f64 (pow.f64 x 2) 0)
(+.f64 (pow.f64 x 2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(+.f64 (pow.f64 x 2) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 1/2))
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/2))
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 0)
(-.f64 (pow.f64 x 2) (-.f64 0 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (pow.f64 x 2) (-.f64 0 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 0 (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2)))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (neg.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 (*.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 1/2 (.f64 2 (pow.f64 x 2)))
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(.f64 (.f64 (pow.f64 x 2) 1/2) 2)
(.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 x 2))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(/.f64 (pow.f64 x 2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) -1/2)) (.f64 (*.f64 (pow.f64 x 2) -1/2) 1/2))
(-.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (.f64 -1/2 (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) 1/2)) (.f64 -1/2 (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))))
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))

Outputs
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) 1/2))
(pow.f64 x 2)
(+.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/2))
(pow.f64 x 2)
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (-.f64 0 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) (-.f64 0 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (pow.f64 x 2) -1/2))
(pow.f64 x 2)
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 0 (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(pow.f64 x 2)
(-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (*.f64 (pow.f64 x 2) 1/2)))
(pow.f64 x 2)
(-.f64 (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) 1/2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (.f64 (pow.f64 x 2) 1/2))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -1/2)))
(.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 1 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (.f64 (pow.f64 x 2) 1/2))))
(-.f64 (.f64 (pow.f64 x 2) 1/2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) -1/2)))
(.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 1 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (pow.f64 x 2) 1/2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (*.f64 (pow.f64 x 2) 1/2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))) (-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (pow.f64 x 2) 1/2)))
(pow.f64 x 2)
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) 1/2)) (-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (*.f64 (pow.f64 x 2) -1/2) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2)))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (*.f64 (/.f64 1 (pow.f64 x 2)) 1/2))))
(.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 1/2 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (neg.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (*.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (pow.f64 x 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 1/2 (.f64 2 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(*.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) 1/2) 2)
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (neg.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (neg.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (pow.f64 x 2))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(pow.f64 x 2)
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (pow.f64 x 2) -1/2))
(*.f64 (pow.f64 x 2) -1/2)
(+.f64 (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (.f64 (pow.f64 x 2) -1/2)) (.f64 (*.f64 (pow.f64 x 2) -1/2) 1/2))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (*.f64 (pow.f64 x 2) -1/2) 0)
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 (.f64 (pow.f64 x 2) -1/2) 1/2) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) 1/2) (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/2)) (.f64 -1/2 (*.f64 (pow.f64 x 2) -1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 0 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (neg.f64 (*.f64 (pow.f64 x 2) 1/2)))
(.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) -1/2))
(neg.f64 (.f64 (.f64 (pow.f64 x 2) 1/2) (-.f64 1 (/.f64 0 (pow.f64 x 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))) (.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) -1/2)
(-.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) 1/2)) (.f64 -1/2 (.f64 (pow.f64 x 2) -1/2)))
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) 1)
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2)))) (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 x 2))))))
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 2) -1/2)
(/.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2)))))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 (pow.f64 x 2) -1/2)
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 (pow.f64 x 2) -1/2)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(*.f64 5/24 (pow.f64 x 4))
✓	12.6b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))

Compiler

Compiled 43 to 35 computations (18.6% saved)

series2.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
0.0ms	x	@	0	(*.f64 5/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 5/24 (pow.f64 x 4))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
0.0ms	x	@	-inf	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))

rewrite68.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`rational_best_oopsla_all_46_json_45_simplify-89`
1204×	`rational_best_oopsla_all_46_json-2`
1204×	`rational_best_oopsla_all_46_json-1`
1204×	`rational_best_oopsla_all_46_json-4`
1204×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	79	50
2	164	50
3	513	50
4	2403	50

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))

Outputs

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simplify100.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best_oopsla_all_46_json_45_simplify-72`
910×	`rational_best_oopsla_all_46_json_45_simplify-49`
834×	`rational_best_oopsla_all_46_json_45_simplify-35`
798×	`rational_best_oopsla_all_46_json_45_simplify-23`
544×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	2707
1	513	2707
2	4083	2707

Stop Event

1×	node limit

Counts

73 → 75

Calls

Call 1

Inputs
1
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(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
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(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(*.f64 5/24 (pow.f64 x 4))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
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(-.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 4) -5/24) -1))
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(-.f64 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24)) -1)
(-.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) 1) (.f64 (pow.f64 x 4) -5/24))
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Outputs
1
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(/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24)))))
(+.f64 1 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24)))
(/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (/.f64 (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24)))) (/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))))))
(+.f64 1 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24)))
(/.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (/.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (/.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24))) (/.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (-.f64 1 (.f64 (pow.f64 x 4) -5/24)))))))
(+.f64 1 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24)))
(neg.f64 (-.f64 -1 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24))))
(+.f64 1 (-.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -5/24)))
(+.f64 (*.f64 5/24 (pow.f64 x 4)) 0)
(*.f64 5/24 (pow.f64 x 4))
(+.f64 0 (*.f64 5/24 (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(-.f64 (*.f64 5/24 (pow.f64 x 4)) 0)
(*.f64 5/24 (pow.f64 x 4))
(-.f64 0 (*.f64 (pow.f64 x 4) -5/24))
(neg.f64 (*.f64 (pow.f64 x 4) -5/24))
(/.f64 (*.f64 5/24 (pow.f64 x 4)) 1)
(*.f64 5/24 (pow.f64 x 4))
(/.f64 (*.f64 5/24 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))
(*.f64 5/24 (pow.f64 x 4))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 5/24 (pow.f64 x 4))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 4) 5/12) (*.f64 (pow.f64 x 4) 5/12)))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 5/24 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) (*.f64 5/24 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))))
(/.f64 (*.f64 5/24 (pow.f64 x 4)) (/.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 5/24 (pow.f64 x 4)) (.f64 5/24 (pow.f64 x 4))) (/.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (/.f64 (.f64 (pow.f64 x 4) 5/12) (.f64 (pow.f64 x 4) 5/12)) (/.f64 (.f64 (pow.f64 x 4) 5/12) (*.f64 (pow.f64 x 4) 5/12))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 1 (.f64 5/24 (pow.f64 x 4)))) (.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 1 (*.f64 5/24 (pow.f64 x 4))))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 1 (.f64 5/24 (pow.f64 x 4))) (.f64 (pow.f64 x 4) 5/12)) (.f64 (/.f64 1 (.f64 5/24 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) 5/12))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (.f64 (pow.f64 x 4) 5/12) (/.f64 1 (.f64 (pow.f64 x 4) 5/12))) (.f64 (.f64 (pow.f64 x 4) 5/12) (/.f64 1 (*.f64 (pow.f64 x 4) 5/12)))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 5/24 (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 5/24 (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 5/24 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4)))) (.f64 5/24 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 x 4)) (/.f64 (pow.f64 x 4) (pow.f64 x 4))))))
(/.f64 (.f64 5/24 (pow.f64 x 4)) (/.f64 (.f64 (pow.f64 x 4) (/.f64 5/24 (pow.f64 x 4))) (*.f64 (pow.f64 x 4) (/.f64 5/24 (pow.f64 x 4)))))
(/.f64 (*.f64 (pow.f64 x 4) -5/24) -1)
(neg.f64 (*.f64 (pow.f64 x 4) -5/24))
(neg.f64 (*.f64 (pow.f64 x 4) -5/24))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.4b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite92.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`rational_best_oopsla_all_46_json_45_simplify-35`
974×	`rational_best_oopsla_all_46_json_45_simplify-37`
938×	`rational_best_oopsla_all_46_json_45_simplify-23`
888×	`rational_best_oopsla_all_46_json_45_simplify-13`
644×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	38	19
2	82	19
3	253	19
4	1168	19
5	6859	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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simplify153.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational_best_oopsla_all_46_json_45_simplify-49`
1048×	`rational_best_oopsla_all_46_json_45_simplify-72`
864×	`rational_best_oopsla_all_46_json_45_simplify-108`
708×	`rational_best_oopsla_all_46_json_45_simplify-23`
480×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	1661
1	509	1661
2	2714	1661
3	7909	1661

Stop Event

1×	node limit

Counts

71 → 76

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
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(/.f64 2 (pow.f64 x 2))
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(.f64 (.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))) (neg.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (*.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (*.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (neg.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (neg.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2)))))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(neg.f64 (neg.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2)))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))

eval287.0ms (9.2%)

Compiler: Compiled 14704 to 12314 computations (16.3% saved)

prune78.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	502	1	503
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	502	6	508

Error

Counts

508 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.5b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	14.5b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	30.9b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
✓	30.8b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	30.4b	1

Compiler

Compiled 47 to 40 computations (14.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.5b	(/.f64 2 (pow.f64 x 2))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 2 (pow.f64 x 2))
0.0ms	x	@	inf	(/.f64 2 (pow.f64 x 2))
0.0ms	x	@	-inf	(/.f64 2 (pow.f64 x 2))

rewrite76.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2038×	`rational_best_oopsla_all_46_json-2`
2038×	`rational_best_oopsla_all_46_json-1`
2038×	`rational_best_oopsla_all_46_json-4`
2038×	`rational_best_oopsla_all_46_json-3`
760×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	32	13
2	70	13
3	211	13
4	964	13
5	5459	13

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 2 (pow.f64 x 2))

Outputs

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

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational_best_oopsla_all_46_json_45_simplify-89`
1404×	`rational_best_oopsla_all_46_json_45_simplify-74`
1156×	`rational_best_oopsla_all_46_json_45_simplify-49`
1008×	`rational_best_oopsla_all_46_json_45_simplify-24`
972×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	728
1	458	728
2	2624	728

Stop Event

1×	node limit

Counts

56 → 57

Calls

Call 1

Inputs
(+.f64 (/.f64 2 (pow.f64 x 2)) 0)
(+.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(+.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) 0))
(+.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(+.f64 0 (/.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(-.f64 (/.f64 2 (pow.f64 x 2)) 0)
(-.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(-.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 0 (/.f64 2 (pow.f64 x 2)))))
(-.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) 0))
(-.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(-.f64 0 (neg.f64 (/.f64 2 (pow.f64 x 2))))
(-.f64 (.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2)))))
(*.f64 (/.f64 2 (pow.f64 x 2)) 1)
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(*.f64 1 (/.f64 2 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (+.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))))))
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) -1)
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (.f64 -1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 (/.f64 0 (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(*.f64 -1 (neg.f64 (/.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(*.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(.f64 (neg.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(neg.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))))

Outputs
(+.f64 (/.f64 2 (pow.f64 x 2)) 0)
(/.f64 2 (pow.f64 x 2))
(+.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(+.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(+.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(+.f64 0 (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(+.f64 (.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 2 (pow.f64 x 2)) 0)
(/.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 0 (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(-.f64 (/.f64 2 (pow.f64 x 2)) (*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) 0))
(/.f64 2 (pow.f64 x 2))
(-.f64 0 (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 2 (pow.f64 x 2)) 1)
(/.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
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(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 2 (pow.f64 x 2)) (.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(*.f64 1 (/.f64 2 (pow.f64 x 2)))
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(*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (+.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2)))))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) -1)
(/.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (.f64 -1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 (/.f64 0 (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 0 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (-.f64 0 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(*.f64 -1 (neg.f64 (/.f64 2 (pow.f64 x 2))))
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(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(*.f64 (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2)))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))) (.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2))))) (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(.f64 (neg.f64 (.f64 (/.f64 2 (pow.f64 x 2)) (/.f64 1 (/.f64 2 (pow.f64 x 2))))) (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))
(neg.f64 (neg.f64 (/.f64 2 (pow.f64 x 2))))
(/.f64 2 (pow.f64 x 2))

eval72.0ms (2.3%)

Compiler: Compiled 3607 to 2952 computations (18.2% saved)

prune19.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	151	6	157

Error

Counts

157 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.5b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	14.5b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	30.9b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
✓	30.8b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	30.4b	1

Compiler

Compiled 47 to 40 computations (14.9% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

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

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.5b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	14.5b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	30.9b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))
✓	30.8b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	30.4b	1

Compiler

Compiled 47 to 40 computations (14.9% saved)

regimes11.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(/.f64 2 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (.f64 5/24 (pow.f64 x 4))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 60 to 48 computations (20% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
14.5b	1	`x`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes11.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
14.5b	3	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch35.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.015459276009405045	260486.6797284799
18.0ms	-526051734.0464894	-5.077341584573329e-6

Results

31.0ms

304×

body

256

valid

Compiler

Compiled 317 to 276 computations (12.9% saved)

regimes9.0ms (0.3%)

Accuracy

Total -47.3b remaining (-320.4%)

Threshold costs -47.3b (-320.4%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
14.8b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch36.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.015459276009405045	260486.6797284799
19.0ms	-526051734.0464894	-5.077341584573329e-6

Results

33.0ms

304×

body

256

valid

Compiler

Compiled 203 to 181 computations (10.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	153

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(if (<=.f64 x -5/4) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2))))
(if (<=.f64 x -6530219459687219/4503599627370496) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 799388933858263/562949953421312) 1 (/.f64 2 (pow.f64 x 2))))
1

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(if (<=.f64 x -5/4) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2))))
(if (<=.f64 x -6530219459687219/4503599627370496) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 799388933858263/562949953421312) 1 (/.f64 2 (pow.f64 x 2))))
1

Compiler

Compiled 65 to 53 computations (18.5% saved)

soundness0.0ms (0%)

end448.0ms (14.3%)

Compiler: Compiled 61 to 49 computations (19.7% saved)

Details

analyze0.0ms (0%)

sample680.0ms (21.8%)

preprocess140.0ms (4.5%)

simplify142.0ms (4.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite142.0ms (4.5%)

simplify96.0ms (3.1%)

eval91.0ms (2.9%)

prune14.0ms (0.4%)

localize8.0ms (0.3%)

series2.0ms (0.1%)

rewrite105.0ms (3.4%)

simplify92.0ms (2.9%)

localize16.0ms (0.5%)

series2.0ms (0.1%)

rewrite68.0ms (2.2%)

simplify100.0ms (3.2%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite92.0ms (2.9%)

simplify153.0ms (4.9%)

eval287.0ms (9.2%)

prune78.0ms (2.5%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite76.0ms (2.4%)

simplify67.0ms (2.1%)

eval72.0ms (2.3%)

prune19.0ms (0.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes11.0ms (0.3%)

regimes5.0ms (0.2%)

regimes11.0ms (0.3%)

bsearch35.0ms (1.1%)

regimes9.0ms (0.3%)

bsearch36.0ms (1.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end448.0ms (14.3%)

Profiling