Details

analyze5.0ms (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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample4.0s (17.4%)

Results

2.5s	4220×	body	1024	valid
721.0ms	2025×	body	512	valid
415.0ms	427×	body	2048	valid
364.0ms	1584×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess149.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

994×	`rational_best_oopsla_all_46_json_45_simplify-35`
828×	`rational_best_oopsla_all_46_json_45_simplify-89`
816×	`rational_best_oopsla_all_46_json_45_simplify-108`
738×	`rational_best_oopsla_all_46_json_45_simplify-74`
610×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	20	41
2	30	41
3	63	41
4	220	41
5	1176	41
6	4090	41
7	6860	41
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

994×	`rational_best_oopsla_all_46_json_45_simplify-35`
828×	`rational_best_oopsla_all_46_json_45_simplify-89`
816×	`rational_best_oopsla_all_46_json_45_simplify-108`
738×	`rational_best_oopsla_all_46_json_45_simplify-74`
610×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	20	41
2	30	41
3	63	41
4	220	41
5	1176	41
6	4090	41
7	6860	41

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

eval1.0ms (0%)

Compiler: Compiled 14 to 13 computations (7.1% 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

58.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.9b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Compiler

Compiled 51 to 42 computations (17.6% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
0.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
0.0ms	x	@	inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
0.0ms	x	@	-inf	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational_best_oopsla_all_46_json-2`
1426×	`rational_best_oopsla_all_46_json-1`
1426×	`rational_best_oopsla_all_46_json-4`
1426×	`rational_best_oopsla_all_46_json-3`
1038×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	78	79
2	172	79
3	591	79
4	2816	79

Stop Event

1×	node limit

Counts

3 → 113

Calls

Call 1

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

Outputs
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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1522×	`rational_best_oopsla_all_46_json_45_simplify-23`
1074×	`rational_best_oopsla_all_46_json_45_simplify-35`
938×	`rational_best_oopsla_all_46_json_45_simplify-89`
784×	`rational_best_oopsla_all_46_json_45_simplify-24`
744×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4881
1	937	4849
2	5584	4847

Stop Event

1×	node limit

Counts

141 → 139

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/16 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))
(+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1))
(+.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0)
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(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 -1 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1)
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 -1 (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 -1 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) 1)
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (*.f64 0 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(+.f64 (*.f64 0 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 1 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Outputs
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(-.f64 (.f64 1/2 (PI.f64)) (.f64 2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))
(asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))
(asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 -1/2 x)))
(+.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 x -1/2)))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) x)) (.f64 -1/8 (.f64 (sqrt.f64 1/2) (pow.f64 x 2)))))
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(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(+.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (*.f64 0 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(+.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(+.f64 (*.f64 0 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(-.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 0)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(-.f64 0 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 1 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 -1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 -1 (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(*.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (/.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)) (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
(sqrt.f64 (/.f64 (-.f64 1 x) 2))

eval157.0ms (0.7%)

Compiler: Compiled 5125 to 4421 computations (13.7% saved)

prune22.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	137	3	140

Error

58.9b

Counts

140 → 3

Alt Table

Click to see full alt table

Status

Error

Program

✓

58.9b

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

▶

61.4b

(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

▶

58.9b

(*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Compiler

Compiled 68 to 62 computations (8.8% saved)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
✓	0.0b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 139 to 118 computations (15.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational_best_oopsla_all_46_json_45_simplify-76`
996×	`rational_best_oopsla_all_46_json_45_simplify-35`
646×	`rational_best_oopsla_all_46_json_45_simplify-37`
604×	`rational_best_oopsla_all_46_json_45_simplify-23`
588×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	134
1	104	134
2	283	134
3	1210	134
4	5801	134

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))

Inputs

(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

(*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2) (neg.f64 (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))) (#(struct:change #<rule 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Outputs

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simplify257.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1692×	`rational_best_oopsla_all_46_json_45_simplify-23`
1096×	`rational_best_oopsla_all_46_json_45_simplify-13`
872×	`rational_best_oopsla_all_46_json_45_simplify-49`
670×	`rational_best_oopsla_all_46_json_45_simplify-89`
636×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	209	15340
1	724	13028
2	3088	13028

Stop Event

1×	node limit

Counts

122 → 130

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
1
1
1
1
1
1
1
1
1
1
1
1
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(-.f64 0 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))
(.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 1)
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(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
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(-.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 0 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
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(-.f64 (.f64 (/.f64 0 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) -1) (.f64 -1 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) 1)
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))) (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))) (/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))))
(/.f64 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))) (/.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))
(/.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))) -1)
(neg.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))
(neg.f64 (.f64 -1 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))

Outputs
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
1
1
1
1
1
1
1
1
1
1
1
1
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2) (neg.f64 (/.f64 (PI.f64) 2)))
(-.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (PI.f64) 2)))
(-.f64 (/.f64 (PI.f64) 2) (neg.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0)
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
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(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
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(+.f64 (.f64 (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(neg.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))))
(+.f64 (.f64 (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(neg.f64 (.f64 -1 (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))))
(neg.f64 (.f64 (/.f64 1 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))) (-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
(+.f64 (.f64 (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (/.f64 (PI.f64) 2) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(asin.f64 (sqrt.f64 1/2))

Compiler

Compiled 26 to 24 computations (7.7% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`rational_best_oopsla_all_46_json-2`
1718×	`rational_best_oopsla_all_46_json-1`
1718×	`rational_best_oopsla_all_46_json-4`
1718×	`rational_best_oopsla_all_46_json-3`
686×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	28	9
2	64	9
3	183	9
4	813	9
5	4531	9

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(asin.f64 (sqrt.f64 1/2))

Outputs

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

simplify227.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1650×	`rational_best_oopsla_all_46_json_45_simplify-89`
1342×	`rational_best_oopsla_all_46_json_45_simplify-74`
1014×	`rational_best_oopsla_all_46_json_45_simplify-72`
982×	`rational_best_oopsla_all_46_json_45_simplify-49`
906×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	531
1	372	531
2	2204	531
3	7713	531

Stop Event

1×	node limit

Counts

59 → 60

Calls

Call 1

Inputs
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) 0))
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(+.f64 (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0) (asin.f64 (sqrt.f64 1/2)))
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(+.f64 (.f64 0 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (asin.f64 (sqrt.f64 1/2)))
(+.f64 (*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0) (asin.f64 (sqrt.f64 1/2)))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) 0))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (.f64 0 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
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(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (asin.f64 (sqrt.f64 1/2)))
(.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(.f64 (.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))

Outputs
(+.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0))
(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 0 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (asin.f64 (sqrt.f64 1/2)) (*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0))
(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) 0) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(+.f64 (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
(+.f64 (*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) 0) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) 0)
(asin.f64 (sqrt.f64 1/2))
(-.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) 0))
(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
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(asin.f64 (sqrt.f64 1/2))
(-.f64 0 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 0 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(-.f64 (.f64 0 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (asin.f64 (sqrt.f64 1/2)) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 1 (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (.f64 (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) (.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 -1 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (asin.f64 (sqrt.f64 1/2)))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(*.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (*.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))) (asin.f64 (sqrt.f64 1/2)))
(asin.f64 (sqrt.f64 1/2))
(.f64 (neg.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(.f64 (.f64 (neg.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))) (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) 1)
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2))) (/.f64 (asin.f64 (sqrt.f64 1/2)) (asin.f64 (sqrt.f64 1/2)))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2)))) (.f64 (asin.f64 (sqrt.f64 1/2)) (/.f64 1 (asin.f64 (sqrt.f64 1/2))))))
(asin.f64 (sqrt.f64 1/2))
(/.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))) -1)
(asin.f64 (sqrt.f64 1/2))
(neg.f64 (neg.f64 (asin.f64 (sqrt.f64 1/2))))
(asin.f64 (sqrt.f64 1/2))

eval1.1s (4.7%)

Compiler: Compiled 36349 to 31551 computations (13.2% saved)

prune128.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	543	4	547
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	543	7	550

Error

58.9b

Counts

550 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.9b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	59.0b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
▶	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
▶	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
▶	58.9b	(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Compiler

Compiled 352 to 312 computations (11.4% saved)

localize207.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))
✓	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 299 to 256 computations (14.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite218.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`rational_best_oopsla_all_46_json-2`
1658×	`rational_best_oopsla_all_46_json-1`
1658×	`rational_best_oopsla_all_46_json-4`
1658×	`rational_best_oopsla_all_46_json-3`
672×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	82
1	96	82
2	207	82
3	697	82
4	3280	82

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 2) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 (PI.f64) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (-.f64 (*.f64 0 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (-.f64 (neg.f64 (/.f64 (PI.f64) 2)) (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (-.f64 (*.f64 (/.f64 (PI.f64) 2) -1) (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 0 (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (-.f64 (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (*.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 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simplify257.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1368×	`rational_best_oopsla_all_46_json_45_simplify-49`
794×	`rational_best_oopsla_all_46_json_45_simplify-89`
752×	`rational_best_oopsla_all_46_json_45_simplify-72`
656×	`rational_best_oopsla_all_46_json_45_simplify-24`
642×	`rational_best_oopsla_all_46_json_45_simplify-36`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	9641
1	780	9547
2	4326	9449

Stop Event

1×	node limit

Counts

123 → 129

Calls

Call 1

Inputs
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(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 -1 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 -1 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) -1)))
(.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) -1)
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) 1)
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))

Outputs
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
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(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 0 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 0 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 -1 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) -1)))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(.f64 (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (-.f64 (/.f64 (PI.f64) 2) (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)))
(.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))))
(.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) -1)
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) 1)
(+.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 (PI.f64) 2)))
(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (/.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(neg.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))

localize260.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 329 to 282 computations (14.3% saved)

localize189.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 359 to 308 computations (14.2% saved)

localize172.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
✓	5.5b	(+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 302 to 262 computations (13.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational_best_oopsla_all_46_json_45_simplify-23`
986×	`rational_best_oopsla_all_46_json_45_simplify-13`
854×	`rational_best_oopsla_all_46_json_45_simplify-89`
756×	`rational_best_oopsla_all_46_json_45_simplify-37`
754×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	152
1	114	94
2	364	94
3	1697	94

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs

(+.f64 (/.f64 (PI.f64) 2) (*.f64 (*.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2))

(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Outputs

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

simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

962×	`rational_best_oopsla_all_46_json_45_simplify-72`
946×	`rational_best_oopsla_all_46_json_45_simplify-13`
888×	`rational_best_oopsla_all_46_json_45_simplify-49`
592×	`rational_best_oopsla_all_46_json_45_simplify-7`
542×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	200	5372
1	690	5364
2	2894	5364

Stop Event

1×	node limit

Counts

108 → 95

Calls

Call 1

Inputs
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
1
1
1
1
1
1
1
1
1
1
1
1
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0)
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) 0))
(-.f64 0 (.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
(.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))
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(-.f64 (.f64 0 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (.f64 (/.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (.f64 0 (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (.f64 (/.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -1) (.f64 -1 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (-.f64 0 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(-.f64 (-.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 0 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) 1)
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (/.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(/.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) -1)
(neg.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 -1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(fabs.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))

Outputs
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))))
(+.f64 (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 1 x))))) (*.f64 1/2 (PI.f64)))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 -1 x)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (.f64 x -1)))))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 -2 (asin.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (neg.f64 x)))))))
1
1
1
1
1
1
1
1
1
1
1
1
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0)
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 0))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))) 0))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 0 (.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) 1)
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
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(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (.f64 (neg.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (.f64 (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (neg.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (.f64 (.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (fabs.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))
(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

eval6.0s (26.3%)

Compiler: Compiled 181028 to 156775 computations (13.4% saved)

prune1.6s (6.9%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	1878	2	1880
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	1878	9	1887

Error

58.9b

Counts

1887 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.9b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
▶	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	59.0b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
✓	58.9b	(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
▶	58.9b	(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Compiler

Compiled 536 to 474 computations (11.6% saved)

localize233.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 359 to 308 computations (14.2% saved)

localize343.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
	0.9b	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2))
	5.5b	(+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2))

Compiler

Compiled 320 to 278 computations (13.1% saved)

eval4.7s (20.7%)

Compiler: Compiled 148741 to 129205 computations (13.1% saved)

prune848.0ms (3.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	1257	1	1258
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	1257	10	1267

Error

58.9b

Counts

1267 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	58.9b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
✓	61.4b	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
	59.0b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	59.0b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
✓	58.9b	(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
✓	58.9b	(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
✓	58.9b	(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Compiler

Compiled 634 to 561 computations (11.5% saved)

regimes37.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Outputs

(*.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (*.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Calls

7 calls:

6.0ms	x
3.0ms	(/.f64 (-.f64 1 x) 2)
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(-.f64 1 x)

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 676 to 587 computations (13.2% saved)

regimes33.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))

Outputs

(*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (*.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Calls

7 calls:

6.0ms	x
3.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))
3.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
3.0ms	(-.f64 1 x)
3.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 573 to 498 computations (13.1% saved)

regimes24.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Outputs

(*.f64 (*.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (*.f64 (-.f64 (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (*.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Calls

7 calls:

4.0ms	(-.f64 1 x)
4.0ms	x
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 251 to 218 computations (13.1% saved)

regimes45.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (.f64 (.f64 (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) (/.f64 1 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))) (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) -2)))))

Outputs

(*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (*.f64 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))

Calls

7 calls:

27.0ms	(/.f64 (-.f64 1 x) 2)
4.0ms	x
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 178 to 155 computations (12.9% saved)

regimes17.0ms (0.1%)

Accuracy

Total -2.5b remaining (-4.3%)

Threshold costs -2.5b (-4.3%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))

Calls

7 calls:

3.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) 2))
2.0ms	(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
2.0ms	(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))
2.0ms	(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))

Results

Error	Segments	Branch
58.9b	1	`x`
58.9b	1	`(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))`
58.9b	1	`(*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))`
58.9b	1	`(asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))`
58.9b	1	`(sqrt.f64 (/.f64 (-.f64 1 x) 2))`
58.9b	1	`(/.f64 (-.f64 1 x) 2)`
58.9b	1	`(-.f64 1 x)`

Compiler

Compiled 74 to 65 computations (12.2% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	1018

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Outputs
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (.f64 (/.f64 -1 (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))) (.f64 (-.f64 (.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))) (/.f64 (PI.f64) 2)) (+.f64 (/.f64 (PI.f64) 2) (.f64 -2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))))))) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (.f64 (+.f64 (/.f64 (PI.f64) 2) (.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)) (/.f64 1 (+.f64 (/.f64 (PI.f64) 2) (*.f64 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2))) -2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 (/.f64 (-.f64 1 x) 2)))))
(-.f64 (/.f64 (PI.f64) 2) (*.f64 2 (asin.f64 (sqrt.f64 1/2))))

Compiler

Compiled 320 to 283 computations (11.6% saved)

soundness372.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1692×	`rational_best_oopsla_all_46_json_45_simplify-23`
1692×	`rational_best_oopsla_all_46_json_45_simplify-23`
1096×	`rational_best_oopsla_all_46_json_45_simplify-13`
1096×	`rational_best_oopsla_all_46_json_45_simplify-13`
872×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	209	15340
1	724	13028
2	3088	13028
0	209	15340
1	724	13028
2	3088	13028

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 882 to 764 computations (13.4% saved)

end240.0ms (1.1%)

Compiler: Compiled 315 to 273 computations (13.3% saved)

Details

analyze5.0ms (0%)

sample4.0s (17.4%)

preprocess149.0ms (0.7%)

simplify163.0ms (0.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize28.0ms (0.1%)

series3.0ms (0%)

rewrite128.0ms (0.6%)

simplify155.0ms (0.7%)

eval157.0ms (0.7%)

prune22.0ms (0.1%)

localize70.0ms (0.3%)

series1.0ms (0%)

rewrite135.0ms (0.6%)

simplify257.0ms (1.1%)

localize20.0ms (0.1%)

series0.0ms (0%)

rewrite70.0ms (0.3%)

simplify227.0ms (1%)

eval1.1s (4.7%)

prune128.0ms (0.6%)

localize207.0ms (0.9%)

series1.0ms (0%)

rewrite218.0ms (1%)

simplify257.0ms (1.1%)

localize260.0ms (1.1%)

localize189.0ms (0.8%)

localize172.0ms (0.8%)

series1.0ms (0%)

rewrite67.0ms (0.3%)

simplify171.0ms (0.8%)

eval6.0s (26.3%)

prune1.6s (6.9%)

localize233.0ms (1%)

localize343.0ms (1.5%)

eval4.7s (20.7%)

prune848.0ms (3.7%)

regimes37.0ms (0.2%)

regimes33.0ms (0.1%)

regimes24.0ms (0.1%)

regimes45.0ms (0.2%)

regimes17.0ms (0.1%)

simplify11.0ms (0%)

soundness372.0ms (1.6%)

end240.0ms (1.1%)

Profiling