Details

analyze21.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.3s (16%)

Results

711.0ms	5883×	body	256	valid
296.0ms	1166×	body	1024	valid
205.0ms	1170×	body	512	valid
16.0ms	173×	body	256	invalid
11.0ms	37×	body	2048	valid

Bogosity

preprocess160.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1740×	`rational_best_oopsla_all_46_json_45_simplify-10`
1090×	`rational_best_oopsla_all_46_json_45_simplify-49`
1062×	`rational_best_oopsla_all_46_json_45_simplify-7`
948×	`rational_best_oopsla_all_46_json_45_simplify-37`
688×	`rational_best_oopsla_all_46_json_45_simplify-77`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	23	46
2	53	46
3	162	46
4	673	46
5	3047	46
6	5218	46
7	7896	46
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify218.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1156×	`rational_best_oopsla_all_46_json_45_simplify-89`
1056×	`rational_best_oopsla_all_46_json_45_simplify-74`
836×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	14	23
2	29	23
3	83	23
4	337	23
5	1521	23
6	5169	23
7	7186	23

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% 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

19.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	3.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series6.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	x	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	eps	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	eps	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) eps))

rewrite80.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`rational_best_oopsla_all_46_json-2`
1148×	`rational_best_oopsla_all_46_json-1`
1148×	`rational_best_oopsla_all_46_json-4`
1148×	`rational_best_oopsla_all_46_json-3`
1148×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	52	53
2	149	53
3	533	53
4	2372	53

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(sqrt.f64 (-.f64 (*.f64 x x) eps))

Outputs
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simplify215.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1330×	`rational_best_oopsla_all_46_json_45_simplify-89`
1228×	`rational_best_oopsla_all_46_json_45_simplify-13`
1080×	`rational_best_oopsla_all_46_json_45_simplify-24`
1054×	`rational_best_oopsla_all_46_json_45_simplify-74`
1004×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	355	4950
1	1409	4550
2	7762	4550

Stop Event

1×	node limit

Counts

194 → 205

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x))
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(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))))))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 x (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))
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(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))))
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(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 -1 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))
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(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
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(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) -1)
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(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
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(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 -1 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
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(.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1)
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))

eval50.0ms (0.6%)

Compiler: Compiled 6147 to 1622 computations (73.6% saved)

prune38.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	196	9	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	10	206

Error

0.2b

Counts

206 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	19.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	19.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
▶	23.1b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.4b	(-.f64 x x)
	53.3b	(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
▶	49.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
	44.7b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	61.8b	(*.f64 x 2)
▶	40.6b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 310 to 218 computations (29.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x x) eps))
✓	0.2b	(.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))
✓	5.3b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))

Compiler

Compiled 94 to 25 computations (73.4% saved)

series3.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational_best_oopsla_all_46_json_45_simplify-13`
978×	`rational_best_oopsla_all_46_json_45_simplify-23`
848×	`rational_best_oopsla_all_46_json_45_simplify-89`
820×	`rational_best_oopsla_all_46_json_45_simplify-37`
758×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	121
1	84	79
2	290	79
3	1564	79

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (-.f64 (*.f64 x x) eps))

Inputs

(-.f64 x (sqrt.f64 (*.f64 (-.f64 (*.f64 x x) eps) (*.f64 (-.f64 (*.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))

(*.f64 (-.f64 (*.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))

(/.f64 1 (-.f64 (*.f64 x x) eps))

Outputs
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simplify206.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1202×	`rational_best_oopsla_all_46_json_45_simplify-23`
678×	`rational_best_oopsla_all_46_json_45_simplify-35`
570×	`rational_best_oopsla_all_46_json_45_simplify-87`
562×	`rational_best_oopsla_all_46_json_45_simplify-49`
552×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	549	19961
1	2166	16131
2	5200	15987

Stop Event

1×	node limit

Counts

251 → 346

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 x (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 x (.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 x (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))))))
(+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (+.f64 x (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 x 2) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(+.f64 (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x))))
(+.f64 (+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 eps x))) (+.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x) (/.f64 eps x)))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (-.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps)))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (/.f64 (pow.f64 x 4) (pow.f64 eps 3)))) (/.f64 1 eps))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(+.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 3))) (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 4)))) (-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps)))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 6) (pow.f64 eps 4)))) (/.f64 1 eps)))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 eps 2)) (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 3)) (/.f64 (pow.f64 x 6) (pow.f64 eps 4))))) (/.f64 1 eps))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 eps (pow.f64 x 4)))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 eps (pow.f64 x 4)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6))))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 8)) (/.f64 (pow.f64 eps 2) (pow.f64 x 6)))))
(+.f64 (/.f64 eps (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 6)) (/.f64 (pow.f64 eps 3) (pow.f64 x 8)))))
(/.f64 -1 eps)
(-.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 eps 2))) (/.f64 1 eps))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))) 1)
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))))))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x x) eps)))) (neg.f64 (neg.f64 (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 -1 (-.f64 (*.f64 x x) eps))) -1)
(neg.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 -1 (-.f64 (*.f64 x x) eps))))
(neg.f64 (.f64 (-.f64 eps (.f64 x x)) (/.f64 -1 (-.f64 eps (*.f64 x x)))))
(neg.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 -1 (-.f64 (*.f64 x x) eps))))
(neg.f64 (.f64 (-.f64 eps (.f64 x x)) (/.f64 -1 (-.f64 eps (*.f64 x x)))))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 -1 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)) 0)
(/.f64 1 (-.f64 (*.f64 x x) eps))
(+.f64 0 (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(-.f64 (/.f64 1 (-.f64 (*.f64 x x) eps)) 0)
(/.f64 1 (-.f64 (*.f64 x x) eps))
(-.f64 0 (neg.f64 (/.f64 1 (-.f64 (*.f64 x x) eps))))
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(.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps)))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) 1)
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
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(/.f64 1 (-.f64 (*.f64 x x) eps))
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(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x x) eps))) -1)
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (neg.f64 (/.f64 1 (-.f64 (.f64 x x) eps))) (-.f64 0 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 -1 (neg.f64 (/.f64 1 (-.f64 (.f64 x x) eps))))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (/.f64 1 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (/.f64 1 (-.f64 (*.f64 x x) eps)))
(/.f64 1 (-.f64 (*.f64 x x) eps))
(.f64 (neg.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (neg.f64 (/.f64 1 (-.f64 (.f64 x x) eps))))
(/.f64 1 (-.f64 (*.f64 x x) eps))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 13

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	eps	@	-inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	x	@	inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`rational_best_oopsla_all_46_json_45_simplify-23`
1406×	`rational_best_oopsla_all_46_json_45_simplify-13`
886×	`rational_best_oopsla_all_46_json-2`
886×	`rational_best_oopsla_all_46_json-1`
886×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	46	15
2	112	15
3	366	15
4	1643	15

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))

Outputs

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simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational_best_oopsla_all_46_json_45_simplify-49`
1172×	`rational_best_oopsla_all_46_json_45_simplify-23`
938×	`rational_best_oopsla_all_46_json_45_simplify-13`
856×	`rational_best_oopsla_all_46_json_45_simplify-51`
854×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1312
1	518	1072
2	5283	1072

Stop Event

1×	node limit

Counts

68 → 61

Calls

Call 1

Inputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
x
(+.f64 x (neg.f64 (sqrt.f64 (neg.f64 eps))))
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(*.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) 1)
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(.f64 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))) (.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) (/.f64 (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))))
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(*.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(*.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) (neg.f64 (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))))
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(*.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) (-.f64 (/.f64 0 (-.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (-.f64 x (sqrt.f64 (neg.f64 eps))) (-.f64 x (sqrt.f64 (neg.f64 eps))))))
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(/.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x) -1)
(neg.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x))

Outputs
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(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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x
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x
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(neg.f64 (-.f64 (sqrt.f64 (neg.f64 eps)) x))
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localize65.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 3)
✓	16.5b	(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
✓	29.1b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
✓	37.5b	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))

Compiler

Compiled 106 to 76 computations (28.3% saved)

series9.0ms (0.1%)

Counts

4 → 6

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
1.0ms	x	@	0	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
1.0ms	eps	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	x	@	0	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
1.0ms	x	@	-inf	(pow.f64 x 3)

rewrite143.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational_best_oopsla_all_46_json-2`
1578×	`rational_best_oopsla_all_46_json-1`
1578×	`rational_best_oopsla_all_46_json-4`
1578×	`rational_best_oopsla_all_46_json-3`
1194×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	100
1	97	100
2	200	100
3	634	100
4	2965	100

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(pow.f64 x 3)

Outputs
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simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational_best_oopsla_all_46_json_45_simplify-89`
908×	`rational_best_oopsla_all_46_json_45_simplify-24`
872×	`rational_best_oopsla_all_46_json_45_simplify-74`
598×	`rational_best_oopsla_all_46_json_45_simplify-80`
508×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	3862
1	1092	3862
2	4992	3862

Stop Event

1×	node limit

Counts

142 → 146

Calls

Call 1

Inputs
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
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(/.f64 (pow.f64 x 3) 1)
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(neg.f64 (neg.f64 (pow.f64 x 3)))

Outputs
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 0)
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(+.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (*.f64 0 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(+.f64 0 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(+.f64 (*.f64 0 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(-.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 0)
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1)
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 1 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 -1 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) -1)
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (neg.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 1 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 -1 (.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 -1 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (neg.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(.f64 (.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(*.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(neg.f64 (neg.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(/.f64 (pow.f64 eps 3) (pow.f64 x 5))
(+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 0)
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (*.f64 0 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 0 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(+.f64 (*.f64 0 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 0)
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1)
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 1 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
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(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 -1 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
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(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
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(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (neg.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(*.f64 -1 (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(.f64 -1 (.f64 (/.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
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(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))))
(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(.f64 -1 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))
(.f64 -1 (.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8))))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))
(.f64 -1 (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8))))
(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))) (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))))
(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8)))
(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))) (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)))
(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))))
(.f64 (-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) 1)
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) 1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) 1/8)))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(+.f64 (pow.f64 x 3) (*.f64 0 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 0 (pow.f64 x 3))
(pow.f64 x 3)
(+.f64 (*.f64 0 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(-.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(-.f64 0 (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 1 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) (/.f64 (*.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) (/.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))))
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (pow.f64 x 3))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 1 (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 (pow.f64 x 3) (/.f64 (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))))
(pow.f64 x 3)
(.f64 (.f64 (pow.f64 x 3) (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (neg.f64 (pow.f64 x 3)) -1)
(pow.f64 x 3)
(*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(*.f64 -1 (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(.f64 -1 (.f64 1 (neg.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 -1 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (neg.f64 (pow.f64 x 3))))
(pow.f64 x 3)
(.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (pow.f64 x 3))
(pow.f64 x 3)
(*.f64 (neg.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3))) (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) 1)
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) (/.f64 (pow.f64 x 3) (pow.f64 x 3)))
(pow.f64 x 3)
(/.f64 (pow.f64 x 3) (/.f64 (/.f64 (pow.f64 x 3) (pow.f64 x 3)) (/.f64 (pow.f64 x 3) (pow.f64 x 3))))
(pow.f64 x 3)
(neg.f64 (neg.f64 (pow.f64 x 3)))
(pow.f64 x 3)

eval388.0ms (4.9%)

Compiler: Compiled 33928 to 12196 computations (64.1% saved)

prune263.0ms (3.4%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	712	3	715
Fresh	1	3	4
Picked	0	1	1
Done	1	4	5
Total	714	11	725

Error

0.2b

Counts

725 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	19.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	20.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
✓	19.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
✓	23.1b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.4b	(-.f64 x x)
✓	49.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
▶	44.7b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	53.3b	(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)))))
✓	40.6b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 354 to 211 computations (40.4% saved)

localize60.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))
✓	8.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
✓	11.5b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps)))
✓	13.7b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 336 to 93 computations (72.3% saved)

series18.0ms (0.2%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
3.0ms	x	@	inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
2.0ms	eps	@	-inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
0.0ms	x	@	-inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
0.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))))

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational_best_oopsla_all_46_json-2`
1916×	`rational_best_oopsla_all_46_json-1`
1916×	`rational_best_oopsla_all_46_json-4`
1916×	`rational_best_oopsla_all_46_json-3`
1174×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	320
1	154	290
2	761	254
3	4601	254

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

Inputs
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps)))
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simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1944×	`rational_best_oopsla_all_46_json_45_simplify-23`
900×	`rational_best_oopsla_all_46_json_45_simplify-49`
846×	`rational_best_oopsla_all_46_json_45_simplify-89`
770×	`rational_best_oopsla_all_46_json_45_simplify-37`
712×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	8752
1	1023	8406
2	4089	7874

Stop Event

1×	node limit

Counts

168 → 182

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 8) (pow.f64 eps 4))) (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3))))))
1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 eps (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (+.f64 (/.f64 eps (pow.f64 x 2)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 eps (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (+.f64 (/.f64 eps (pow.f64 x 2)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 eps (pow.f64 x 2))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (+.f64 (/.f64 eps (pow.f64 x 2)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 8) (pow.f64 eps 4))) (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3))))))
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 8) (pow.f64 eps 4))) (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3))))))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
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(.f64 -1/2 (/.f64 (+.f64 (.f64 -1 eps) (.f64 -1 (+.f64 eps (.f64 -1 eps)))) x))
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(*.f64 1/2 (/.f64 eps x))
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(.f64 -1 (.f64 eps (pow.f64 x 2)))
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(pow.f64 x 4)
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(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(pow.f64 x 4)
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
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(.f64 -1 (.f64 eps (pow.f64 x 2)))
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(.f64 -1 (.f64 eps (pow.f64 x 2)))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
(+.f64 (pow.f64 x 4) (.f64 -1 (.f64 eps (pow.f64 x 2))))
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(+.f64 0 (.f64 (.f64 x x) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(-.f64 (.f64 (.f64 x x) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))) 0)
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(/.f64 (.f64 x (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 x (-.f64 (.f64 x x) eps)))) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 x (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 x (-.f64 (.f64 x x) eps)))) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
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(.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))))))
(.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (/.f64 1 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))))
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(.f64 -1 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))) x))
(.f64 (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))))
(/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))) 1)
(/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))))
(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))) x) -1)
(neg.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))) x))
(+.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 0)
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(-.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 0)
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(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) 0))
(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) 0))
(-.f64 0 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))))
(-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 eps x)))
(-.f64 (.f64 (.f64 x x) (neg.f64 eps)) (.f64 (.f64 x x) (neg.f64 (*.f64 x x))))
(-.f64 (.f64 0 (neg.f64 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (-.f64 (*.f64 x x) eps)))
(-.f64 (.f64 0 (-.f64 eps (.f64 x x))) (.f64 (-.f64 eps (.f64 x x)) (*.f64 x x)))
(-.f64 (.f64 0 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (neg.f64 (neg.f64 (.f64 x x))) (-.f64 eps (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 1)
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))
(/.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) (/.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (.f64 x x) (-.f64 eps (.f64 x x))) (.f64 (.f64 x x) (-.f64 eps (*.f64 x x)))))
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) (-.f64 (.f64 x x) (*.f64 eps (/.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))) -1)
(neg.f64 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))))

Outputs
(*.f64 -1 (/.f64 (pow.f64 x 2) eps))
(neg.f64 (/.f64 (pow.f64 x 2) eps))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) eps) (/.f64 (pow.f64 x 4) (pow.f64 eps 2))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (*.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(+.f64 (neg.f64 (/.f64 (pow.f64 x 2) eps)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 x 4) (pow.f64 eps 2)) (/.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (/.f64 (pow.f64 x 2) eps) (/.f64 (pow.f64 x 4) (pow.f64 eps 2)))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 8) (pow.f64 eps 4))) (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3))))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 x 2) eps)) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 4) (pow.f64 eps 2))) (+.f64 (.f64 -1 (/.f64 (pow.f64 x 6) (pow.f64 eps 3))) (.f64 -1 (/.f64 (pow.f64 x 8) (pow.f64 eps 4))))))
(+.f64 (.f64 -1 (+.f64 (/.f64 (pow.f64 x 6) (pow.f64 eps 3)) (/.f64 (pow.f64 x 8) (pow.f64 eps 4)))) (.f64 -1 (+.f64 (/.f64 (pow.f64 x 2) eps) (/.f64 (pow.f64 x 4) (pow.f64 eps 2)))))
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1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
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(+.f64 (/.f64 eps (pow.f64 x 2)) (+.f64 1 (/.f64 (pow.f64 eps 2) (pow.f64 x 4))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (+.f64 (/.f64 eps (pow.f64 x 2)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 eps (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
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(+.f64 1 (+.f64 (/.f64 eps (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 (pow.f64 eps 3) (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 eps (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 4)) (/.f64 eps (pow.f64 x 2))))
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(.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (/.f64 1 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (.f64 (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))))) (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(.f64 -1 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))) x))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(.f64 (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x))))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))) 1)
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (/.f64 (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (.f64 x x)))))))) (-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(/.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))) x) -1)
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(neg.f64 (-.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))) x))
(+.f64 x (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (.f64 x x))))) (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 eps (*.f64 x x)))))))
(+.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 0)
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (*.f64 x x)) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 eps (*.f64 x x)) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 0 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 0 (neg.f64 (.f64 x x))) (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 0 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(+.f64 (.f64 0 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x)))) (.f64 x (.f64 x (-.f64 (.f64 x x) eps))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 0)
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (*.f64 x x)) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 eps (*.f64 x x)) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (.f64 (neg.f64 (neg.f64 (*.f64 x x))) 0))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 0 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (*.f64 eps x)))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 (.f64 x x) (neg.f64 eps)) (.f64 (.f64 x x) (neg.f64 (*.f64 x x))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 0 (neg.f64 (.f64 x x))) (.f64 (neg.f64 (.f64 x x)) (-.f64 (*.f64 x x) eps)))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 0 (-.f64 eps (.f64 x x))) (.f64 (-.f64 eps (.f64 x x)) (*.f64 x x)))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(-.f64 (.f64 0 (neg.f64 (neg.f64 (.f64 x x)))) (.f64 (neg.f64 (neg.f64 (.f64 x x))) (-.f64 eps (*.f64 x x))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) 1)
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (*.f64 x x) eps))) (/.f64 x x))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (.f64 (.f64 x x) (-.f64 eps (.f64 x x))) (.f64 (.f64 x x) (-.f64 eps (*.f64 x x)))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) (-.f64 (.f64 x x) (*.f64 eps (/.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 x x)) (/.f64 (-.f64 (.f64 x x) (.f64 eps (/.f64 x x))) (-.f64 (.f64 x x) (*.f64 eps (/.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))) -1)
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))
(neg.f64 (.f64 (.f64 x x) (-.f64 eps (*.f64 x x))))
(.f64 x (.f64 x (-.f64 (*.f64 x x) eps)))
(.f64 (-.f64 (.f64 x x) eps) (*.f64 x x))

localize3.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
✓	3.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`rational_best_oopsla_all_46_json_45_simplify-13`
1370×	`rational_best_oopsla_all_46_json_45_simplify-23`
900×	`rational_best_oopsla_all_46_json-2`
900×	`rational_best_oopsla_all_46_json-1`
900×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	50	44
2	117	44
3	392	32
4	1982	32

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational_best_oopsla_all_46_json_45_simplify-72`
1080×	`rational_best_oopsla_all_46_json_45_simplify-89`
1038×	`rational_best_oopsla_all_46_json_45_simplify-82`
900×	`rational_best_oopsla_all_46_json_45_simplify-74`
874×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	241	3326
1	1077	3322
2	5026	3322

Stop Event

1×	node limit

Counts

154 → 144

Calls

Call 1

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

localize49.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 3)
✓	0.0b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
	29.1b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))

Compiler

Compiled 53 to 35 computations (34% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
0.0ms	eps	@	0	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
0.0ms	eps	@	inf	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
0.0ms	eps	@	-inf	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))

rewrite117.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`rational_best_oopsla_all_46_json-2`
1322×	`rational_best_oopsla_all_46_json-1`
1322×	`rational_best_oopsla_all_46_json-4`
1322×	`rational_best_oopsla_all_46_json-3`
1014×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	82	43
2	173	43
3	550	43
4	2627	43
5	7881	43

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))

Outputs

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simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1214×	`rational_best_oopsla_all_46_json_45_simplify-13`
1092×	`rational_best_oopsla_all_46_json_45_simplify-35`
884×	`rational_best_oopsla_all_46_json_45_simplify-7`
878×	`rational_best_oopsla_all_46_json_45_simplify-72`
514×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	3148
1	374	3028
2	2639	3020
3	7081	3020

Stop Event

1×	node limit

Counts

64 → 52

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
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(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
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(-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(-.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 (/.f64 eps x) -1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) 0)
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(-.f64 (-.f64 (.f64 0 (/.f64 (/.f64 eps x) (/.f64 eps x))) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (*.f64 (/.f64 eps x) -1/2))
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(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))))
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(.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/2 (/.f64 eps x))) -1)
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x))) (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
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(.f64 -1 (.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x)))))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x)))))
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(.f64 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/2 (/.f64 eps x))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) 1)
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
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(neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x))))

Outputs
(*.f64 1/2 (/.f64 eps x))
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(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
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(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
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(.f64 -1 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/2 (/.f64 eps x))))
(-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(.f64 -1 (.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x)))))
(-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x)))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (-.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(.f64 (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (*.f64 1/2 (/.f64 eps x))))
(.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (-.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)))
(.f64 (-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8)) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) 1)
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8) (.f64 1/2 (/.f64 eps x))))
(-.f64 (.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) -1/8))

localize226.0ms (2.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	22.3b	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x))))
	29.1b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
✓	36.5b	(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
	37.5b	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))

Compiler

Compiled 233 to 177 computations (24% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
2.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
1.0ms	eps	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
1.0ms	eps	@	inf	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x))))
1.0ms	x	@	0	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x))))

rewrite105.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best_oopsla_all_46_json_45_simplify-35`
772×	`rational_best_oopsla_all_46_json_45_simplify-80`
648×	`rational_best_oopsla_all_46_json_45_simplify-10`
634×	`rational_best_oopsla_all_46_json_45_simplify-30`
632×	`rational_best_oopsla_all_46_json_45_simplify-77`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	146
1	158	146
2	356	146
3	1206	146
4	5307	146

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs

(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))

(+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x))))

Outputs

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simplify168.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational_best_oopsla_all_46_json_45_simplify-37`
892×	`rational_best_oopsla_all_46_json_45_simplify-49`
874×	`rational_best_oopsla_all_46_json_45_simplify-72`
810×	`rational_best_oopsla_all_46_json_45_simplify-7`
714×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	5990
1	466	5630
2	2550	5630

Stop Event

1×	node limit

Counts

98 → 74

Calls

Call 1

Inputs
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(*.f64 1/2 (/.f64 eps x))
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(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(*.f64 1/2 (/.f64 eps x))
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(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) 0)
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(+.f64 0 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))
(+.f64 (.f64 0 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))) (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)))
(-.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) 0)
(-.f64 0 (.f64 -1 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) 1)
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(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 1 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))))
(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))))
(.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 1 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))
(.f64 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) -1)
(.f64 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (neg.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))))
(.f64 -1 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) 1)
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))))
(neg.f64 (.f64 -1 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))

Outputs
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 5/64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 1/64 (pow.f64 eps 4)) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))
(/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/64) (.f64 (pow.f64 eps 4) 1/16)) (pow.f64 x 7))
(/.f64 (*.f64 (pow.f64 eps 4) 5/64) (pow.f64 x 7))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
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(.f64 (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 1 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(.f64 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) -1)
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(.f64 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (neg.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(.f64 -1 (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(.f64 (.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))) (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) 1)
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (/.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))
(neg.f64 (.f64 -1 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)) -1/2))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (+.f64 (/.f64 eps x) (/.f64 (+.f64 (.f64 (pow.f64 eps 4) 1/16) (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2)) (pow.f64 x 7))) -1/2))

eval545.0ms (7%)

Compiler: Compiled 29193 to 16858 computations (42.3% saved)

prune124.0ms (1.6%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	588	5	593
Fresh	0	1	1
Picked	1	0	1
Done	1	8	9
Total	590	14	604

Error

0.2b

Counts

604 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.5b	(-.f64 x (-.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)))
✓	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶	60.4b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	19.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	35.9b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
✓	19.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
✓	23.1b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.4b	(-.f64 x x)
✓	49.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
✓	44.7b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
▶	53.3b	(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))))
▶	40.6b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))))
✓	40.6b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 341 to 206 computations (39.6% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))
✓	0.2b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))
✓	8.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
✓	20.2b	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))

Compiler

Compiled 185 to 42 computations (77.3% saved)

series19.0ms (0.2%)

Counts

4 → 88

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
1.0ms	x	@	-inf	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
1.0ms	eps	@	inf	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))
1.0ms	x	@	0	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
1.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`rational_best_oopsla_all_46_json_45_simplify-89`
1116×	`rational_best_oopsla_all_46_json_45_simplify-23`
1040×	`rational_best_oopsla_all_46_json_45_simplify-74`
910×	`rational_best_oopsla_all_46_json-2`
910×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	272
1	114	272
2	509	104
3	2896	104

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))))
(.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x)))

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

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational_best_oopsla_all_46_json_45_simplify-89`
1094×	`rational_best_oopsla_all_46_json_45_simplify-7`
1026×	`rational_best_oopsla_all_46_json_45_simplify-24`
924×	`rational_best_oopsla_all_46_json_45_simplify-74`
796×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	11409
1	1460	10487
2	6408	10343

Stop Event

1×	node limit

Counts

199 → 224

Calls

Call 1

Inputs
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (+.f64 (.f64 -2 eps) (pow.f64 x 2)) (.f64 -1 eps))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (pow.f64 x 2))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps))) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (+.f64 (pow.f64 x 2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps)))))) (pow.f64 x 4))))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (*.f64 -1 eps))) (pow.f64 x 2)))))
(pow.f64 x 2)
(-.f64 (+.f64 (.f64 -2 eps) (pow.f64 x 2)) (.f64 -1 eps))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (pow.f64 x 2))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps))) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (+.f64 (pow.f64 x 2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps)))))) (pow.f64 x 4))))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (*.f64 -1 eps))) (pow.f64 x 2)))))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 eps)) (pow.f64 x 2))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (pow.f64 x 4) eps)))) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) eps))))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 eps) (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (pow.f64 x 4)) (.f64 -1 (.f64 (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) (pow.f64 eps 2)) (.f64 -1 (/.f64 (pow.f64 x 4) eps))))) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) eps))))
(*.f64 -1 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) 2) (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3))))) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (*.f64 2 x))
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (+.f64 (.f64 2 x) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2)))))) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))))) (pow.f64 x 5))) (+.f64 (.f64 2 x) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 3))))))
(/.f64 (+.f64 eps (*.f64 -1/2 eps)) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (/.f64 eps x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (*.f64 1/2 eps) 2)) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (pow.f64 x 5))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))))) (pow.f64 x 5))) (+.f64 (/.f64 eps x) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2)) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) 2) (+.f64 (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))))))) (.f64 -1 (pow.f64 eps 4)))) (pow.f64 x 7))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (pow.f64 x 5))) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2)))))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))))) (pow.f64 x 5))) (+.f64 (/.f64 eps x) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2)) (pow.f64 x 3))) (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))))))
(-.f64 x (*.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) x) (.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 (/.f64 1/2 (pow.f64 x 3)) 2)) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))) x)) (*.f64 -1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 2) (+.f64 (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 (/.f64 1/2 (pow.f64 x 3)) 2)) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 3) (+.f64 (.f64 1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 (/.f64 1/2 (pow.f64 x 3)) 2)) x)) (.f64 -1/2 (.f64 (-.f64 (/.f64 1 (pow.f64 x 8)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 (/.f64 1/2 (pow.f64 x 3)) 2)) (pow.f64 x 2)))) (pow.f64 x 3)))))) x))) (.f64 -1 x))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
(pow.f64 x 4)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 x 4))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(pow.f64 eps 2)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(pow.f64 eps 2)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(pow.f64 eps 2)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 eps 2))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 x 4))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(pow.f64 x 4)
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (pow.f64 x 4))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (.f64 -2 (.f64 eps (pow.f64 x 2))) (+.f64 (pow.f64 eps 2) (pow.f64 x 4)))
(+.f64 (*.f64 x x) (neg.f64 eps))
(+.f64 (-.f64 (*.f64 x x) eps) 0)
(+.f64 0 (-.f64 (*.f64 x x) eps))
(+.f64 (neg.f64 eps) (*.f64 x x))
(-.f64 (*.f64 x x) eps)
(-.f64 (-.f64 (*.f64 x x) eps) 0)
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))) -1)
(neg.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (fabs.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
(fabs.f64 (.f64 (-.f64 eps (.f64 x x)) (fabs.f64 (-.f64 (*.f64 x x) eps))))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (.f64 x x) eps)) (-.f64 eps (*.f64 x x))))

Outputs
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (+.f64 (.f64 -2 eps) (pow.f64 x 2)) (.f64 -1 eps))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (pow.f64 x 2))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 eps -2) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (neg.f64 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps))) (pow.f64 x 2)))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 eps -2)) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (+.f64 (pow.f64 x 2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps)))))) (pow.f64 x 4))))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (*.f64 -1 eps))) (pow.f64 x 2)))))
(+.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 eps -2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps)))))) (pow.f64 x 4)))) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (neg.f64 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps))) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 eps eps))) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 eps -2))) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (-.f64 (+.f64 (+.f64 (pow.f64 x 2) (.f64 eps -2)) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 eps eps))) (pow.f64 x 4))) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(pow.f64 x 2)
(-.f64 (+.f64 (.f64 -2 eps) (pow.f64 x 2)) (.f64 -1 eps))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (pow.f64 x 2))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 eps -2) (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (pow.f64 x 2))) (+.f64 (neg.f64 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps))) (pow.f64 x 2)))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 eps -2)) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (.f64 -2 eps) (+.f64 (pow.f64 x 2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 -2 eps) (.f64 -1 eps)))))) (pow.f64 x 4))))) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 -2 eps) (*.f64 -1 eps))) (pow.f64 x 2)))))
(+.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 eps -2) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 -1 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps)))))) (pow.f64 x 4)))) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (+.f64 (neg.f64 eps) (.f64 -1 (/.f64 (.f64 eps (-.f64 (.f64 eps -2) (neg.f64 eps))) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 eps eps))) (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 eps -2))) (-.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 2)) (-.f64 (+.f64 (+.f64 (pow.f64 x 2) (.f64 eps -2)) (/.f64 (.f64 eps (-.f64 (pow.f64 eps 2) (.f64 eps eps))) (pow.f64 x 4))) (.f64 -1 (+.f64 eps (/.f64 (*.f64 eps (neg.f64 eps)) (pow.f64 x 2))))))
(pow.f64 x 2)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(*.f64 -1 eps)
(neg.f64 eps)
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 eps)) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (-.f64 (neg.f64 eps) (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 eps) (.f64 -1 (/.f64 (pow.f64 x 4) eps)))) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) eps))))
(-.f64 (+.f64 (neg.f64 eps) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 (/.f64 (pow.f64 x 4) eps)))) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2))) eps))))
(+.f64 (.f64 2 (pow.f64 x 2)) (-.f64 (.f64 -1 (+.f64 eps (/.f64 (pow.f64 x 4) eps))) (+.f64 (pow.f64 x 2) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2))) eps)))))
(-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -1 eps) (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (pow.f64 x 4)) (.f64 -1 (.f64 (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) (pow.f64 eps 2)) (.f64 -1 (/.f64 (pow.f64 x 4) eps))))) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2)) eps))))
(+.f64 (+.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (pow.f64 x 4)) (.f64 (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (.f64 -1 (pow.f64 x 2))))) (pow.f64 eps 2)) (+.f64 (neg.f64 eps) (.f64 -1 (/.f64 (pow.f64 x 4) eps)))) (-.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (.f64 -1 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2))) eps)))))
(+.f64 (+.f64 (.f64 -1 (+.f64 eps (/.f64 (pow.f64 x 4) eps))) (/.f64 (.f64 (pow.f64 x 2) (.f64 -1 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 2) (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))))) (pow.f64 eps 2))) (-.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (pow.f64 x 2) (neg.f64 (/.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 2 (pow.f64 x 2)) (pow.f64 x 2))) eps)))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(+.f64 (neg.f64 eps) (pow.f64 x 2))
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(+.f64 x (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 x (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 -1 (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))))) (.f64 -1 (pow.f64 x 2))) x))
(+.f64 x (+.f64 (.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 -1/2 (/.f64 1 (sqrt.f64 -1))))) (neg.f64 (pow.f64 x 2))) (neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (neg.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 -1/2 (/.f64 1 (sqrt.f64 -1))))) (neg.f64 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/2 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) 2) (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3))))) (pow.f64 x 4))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) (.f64 -1/2 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)))
(+.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 -1 (sqrt.f64 -1))) (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (sqrt.f64 -1))))) (.f64 -1 (pow.f64 x 2))) x)) (.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1)))) (.f64 -1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 eps 3)) (pow.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) 2)) (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3))))) (.f64 -1 (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (neg.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 -1/2 (/.f64 1 (sqrt.f64 -1))))) (neg.f64 (pow.f64 x 2))) (+.f64 (+.f64 x (neg.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))) (.f64 (neg.f64 (pow.f64 x 4)) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (.f64 (/.f64 1 (sqrt.f64 -1)) 1/2)) (.f64 -1/2 (.f64 (/.f64 (+.f64 (/.f64 1 (pow.f64 eps 3)) (pow.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) 2)) (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3))))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (*.f64 2 x))
(+.f64 (.f64 x 2) (.f64 -1 (/.f64 (+.f64 eps (*.f64 eps -1/2)) x)))
(+.f64 (.f64 x 2) (neg.f64 (/.f64 (+.f64 eps (.f64 eps -1/2)) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (+.f64 (.f64 2 x) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 3)))))
(+.f64 (.f64 x 2) (+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 eps -1/2)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2))) (.f64 (pow.f64 eps 2) 1/2)) (pow.f64 x 3)))))
(+.f64 (.f64 x 2) (.f64 -1 (+.f64 (/.f64 (+.f64 eps (.f64 eps -1/2)) x) (/.f64 (.f64 1/2 (+.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (*.f64 eps 1/2) 2)) (pow.f64 eps 2))) (pow.f64 x 3)))))
(+.f64 (.f64 x 2) (.f64 -1 (+.f64 (/.f64 (+.f64 eps (.f64 eps -1/2)) x) (/.f64 (.f64 1/2 (+.f64 (pow.f64 eps 2) (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (*.f64 eps 1/2) 2)))) (pow.f64 x 3)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 -1/2 eps)) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2)))))) (.f64 -1/2 (.f64 eps (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))))) (pow.f64 x 5))) (+.f64 (.f64 2 x) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 1/2 eps) 2))) (*.f64 1/2 (pow.f64 eps 2))) (pow.f64 x 3))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 eps (.f64 -1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)))) (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 3)) (.f64 eps (.f64 -1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2))))))) (pow.f64 x 5))) (+.f64 (.f64 x 2) (+.f64 (.f64 -1 (/.f64 (+.f64 eps (.f64 eps -1/2)) x)) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2))) (*.f64 (pow.f64 eps 2) 1/2)) (pow.f64 x 3))))))
(+.f64 (+.f64 (.f64 x 2) (.f64 -1 (+.f64 (/.f64 (+.f64 eps (.f64 eps -1/2)) x) (/.f64 (.f64 1/2 (+.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)) (pow.f64 eps 2))) (pow.f64 x 3))))) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)) (.f64 eps -1/2)) (+.f64 (.f64 1/2 (neg.f64 (pow.f64 eps 3))) (.f64 (.f64 eps (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2))) -1/4))) (pow.f64 x 5))))
(+.f64 (+.f64 (.f64 x 2) (.f64 -1 (+.f64 (/.f64 (+.f64 eps (.f64 eps -1/2)) x) (/.f64 (.f64 1/2 (+.f64 (pow.f64 eps 2) (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)))) (pow.f64 x 3))))) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)) (.f64 eps -1/2)) (+.f64 (.f64 1/2 (neg.f64 (pow.f64 eps 3))) (.f64 (.f64 eps (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2))) -1/4))) (pow.f64 x 5))))
(/.f64 (+.f64 eps (*.f64 -1/2 eps)) x)
(/.f64 (+.f64 eps (*.f64 eps -1/2)) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (/.f64 eps x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (*.f64 1/2 eps) 2)) (pow.f64 x 3))))))
(+.f64 (/.f64 eps x) (+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (pow.f64 eps 2)) (pow.f64 (*.f64 eps 1/2) 2)) (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 eps x)) (/.f64 eps x)))
(+.f64 (.f64 1/2 (+.f64 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)) (/.f64 (+.f64 (neg.f64 (pow.f64 eps 2)) (pow.f64 (.f64 eps 1/2) 2)) (pow.f64 x 3)))) (+.f64 (/.f64 eps x) (*.f64 -1/2 (/.f64 eps x))))
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(pow.f64 x 4)
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(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
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(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
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(-.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 (.f64 x x) eps))))) (.f64 x (.f64 (-.f64 (.f64 x x) eps) (.f64 x (.f64 (-.f64 eps (.f64 x x)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))))
(.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (-.f64 (.f64 eps (-.f64 eps (.f64 x x))) (.f64 (-.f64 eps (.f64 x x)) (*.f64 x x)))))
(.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))))
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(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 eps (-.f64 eps (.f64 x x))) (.f64 (-.f64 eps (.f64 x x)) (.f64 x x))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))
(-.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 eps (-.f64 (*.f64 x x) eps))))
(-.f64 (.f64 (.f64 eps (-.f64 eps (.f64 x x))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 x (.f64 x (-.f64 eps (*.f64 x x))))))
(.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (-.f64 (.f64 eps (-.f64 eps (.f64 x x))) (.f64 (-.f64 eps (.f64 x x)) (.f64 x x))))
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(-.f64 (-.f64 (.f64 eps eps) (.f64 x (.f64 x (-.f64 eps (.f64 x x))))) (.f64 x (.f64 x eps)))
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)) 1)
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (.f64 x x) eps))) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps)))))
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(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps))) (.f64 (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))) -1)
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(neg.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))))
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(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
(fabs.f64 (.f64 (-.f64 (.f64 x x) eps) (fabs.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
(fabs.f64 (.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 eps (.f64 x x))) (.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps)))))
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(.f64 (/.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x x) eps)))
(fabs.f64 (.f64 (-.f64 eps (.f64 x x)) (fabs.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))
(fabs.f64 (.f64 (fabs.f64 (-.f64 (.f64 x x) eps)) (-.f64 eps (*.f64 x x))))
(.f64 (-.f64 (.f64 x x) eps) (-.f64 (*.f64 x x) eps))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`rational_best_oopsla_all_46_json_45_simplify-89`
1142×	`rational_best_oopsla_all_46_json-2`
1142×	`rational_best_oopsla_all_46_json-1`
1142×	`rational_best_oopsla_all_46_json-4`
1142×	`rational_best_oopsla_all_46_json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	47	19
2	129	19
3	482	19
4	2456	19

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

886×	`rational_best_oopsla_all_46_json_45_simplify-72`
826×	`rational_best_oopsla_all_46_json_45_simplify-35`
804×	`rational_best_oopsla_all_46_json_45_simplify-49`
698×	`rational_best_oopsla_all_46_json_45_simplify-23`
636×	`rational_best_oopsla_all_46_json_45_simplify-31`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1854
1	419	1854
2	3239	1832
3	7030	1832

Stop Event

1×	node limit

Counts

72 → 61

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x)))
✓	0.3b	(/.f64 1/2 (/.f64 eps x))

Compiler

Compiled 35 to 13 computations (62.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational_best_oopsla_all_46_json-2`
1496×	`rational_best_oopsla_all_46_json-1`
1496×	`rational_best_oopsla_all_46_json-4`
1496×	`rational_best_oopsla_all_46_json-3`
1222×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	47	38
2	139	38
3	582	38
4	2977	38

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(/.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x)))

Outputs

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simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best_oopsla_all_46_json_45_simplify-72`
1116×	`rational_best_oopsla_all_46_json_45_simplify-7`
894×	`rational_best_oopsla_all_46_json_45_simplify-49`
682×	`rational_best_oopsla_all_46_json_45_simplify-10`
644×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1839
1	417	1839
2	2817	1831
3	6450	1831

Stop Event

1×	node limit

Counts

103 → 62

Calls

Call 1

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (/.f64 eps x) 1/2) x)
✓	0.0b	(-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)
✓	0.0b	(-.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x))
✓	3.4b	(-.f64 x (-.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)))

Compiler

Compiled 57 to 25 computations (56.1% saved)

series4.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

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

rewrite115.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1808×	`rational_best_oopsla_all_46_json-2`
1808×	`rational_best_oopsla_all_46_json-1`
1808×	`rational_best_oopsla_all_46_json-4`
1808×	`rational_best_oopsla_all_46_json-3`
824×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	120
1	80	120
2	229	88
3	915	76
4	4118	76

Stop Event

1×	node limit

Counts

4 → 289

Calls

Call 1

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

Outputs
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simplify128.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1658×	`rational_best_oopsla_all_46_json_45_simplify-13`
1140×	`rational_best_oopsla_all_46_json_45_simplify-87`
1110×	`rational_best_oopsla_all_46_json_45_simplify-23`
1068×	`rational_best_oopsla_all_46_json_45_simplify-49`
698×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	554	10733
1	2376	9853

Stop Event

1×	node limit

Counts

385 → 355

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
(*.f64 1/2 (/.f64 eps x))
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(*.f64 -1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
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(*.f64 -2 x)
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(*.f64 -1 x)
(neg.f64 x)
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(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
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(*.f64 -1 x)
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(*.f64 1/2 (/.f64 eps x))
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(*.f64 1/2 (/.f64 eps x))
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(.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2))) (.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 (neg.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2)))) (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (*.f64 (/.f64 eps x) 1/2))))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) -1)
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 -1 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (*.f64 (/.f64 eps x) 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 -1 (.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (-.f64 x (.f64 (/.f64 eps x) 1/2))))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 -1 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2))))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (neg.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 -1 (-.f64 x (*.f64 (/.f64 eps x) 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (-.f64 x (.f64 (/.f64 eps x) 1/2)))) (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2)))) (-.f64 (*.f64 (/.f64 eps x) 1/2) x))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(.f64 (neg.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2)))) (-.f64 x (.f64 (/.f64 eps x) 1/2)))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) 1)
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(/.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) x) (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (*.f64 (/.f64 eps x) 1/2))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(/.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) x) (/.f64 (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (.f64 (/.f64 eps x) 1/2))) (/.f64 (-.f64 x (.f64 (/.f64 eps x) 1/2)) (-.f64 x (*.f64 (/.f64 eps x) 1/2)))))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(/.f64 (-.f64 x (*.f64 (/.f64 eps x) 1/2)) -1)
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)
(neg.f64 (-.f64 x (*.f64 (/.f64 eps x) 1/2)))
(-.f64 (*.f64 1/2 (/.f64 eps x)) x)

localize61.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	22.3b	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))
	29.1b	(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
✓	36.5b	(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
	37.5b	(/.f64 (pow.f64 eps 3) (pow.f64 x 5))

Compiler

Compiled 166 to 121 computations (27.1% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))
0.0ms	eps	@	inf	(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
0.0ms	eps	@	0	(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
0.0ms	eps	@	0	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))
0.0ms	x	@	-inf	(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`rational_best_oopsla_all_46_json-2`
1958×	`rational_best_oopsla_all_46_json-1`
1958×	`rational_best_oopsla_all_46_json-4`
1958×	`rational_best_oopsla_all_46_json-3`
712×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	105	74
2	229	74
3	771	74
4	3797	74

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))

Outputs

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3) (pow.f64 x 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))))

simplify170.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1604×	`rational_best_oopsla_all_46_json_45_simplify-36`
1038×	`rational_best_oopsla_all_46_json_45_simplify-49`
1014×	`rational_best_oopsla_all_46_json_45_simplify-7`
806×	`rational_best_oopsla_all_46_json_45_simplify-72`
538×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	6034
1	530	6034
2	2901	6028
3	6386	6028

Stop Event

1×	node limit

Counts

88 → 83

Calls

Call 1

Inputs
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
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(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
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(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(+.f64 0 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(-.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 0)
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(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))
(neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))

Outputs
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
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(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
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(*.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
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(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
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(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
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(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))
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(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
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(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
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(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
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(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(-.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 0)
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(-.f64 0 (neg.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 1)
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (*.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 1 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) -1)
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(*.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (neg.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
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(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
(.f64 (neg.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (neg.f64 (/.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(/.f64 (pow.f64 eps 4) (pow.f64 x 7))
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(*.f64 -1 (neg.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
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(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))))
(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 1 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 1 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))))
(.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))))
(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))))
(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 1 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) -1)
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(.f64 -1 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(.f64 -1 (.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(.f64 -1 (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)))
(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)))))
(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) 1)
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128)) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))) (/.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)) (-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128)))))
(/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)))) (/.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))) (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))))
(neg.f64 (-.f64 (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(-.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) -5/128))

eval609.0ms (7.8%)

Compiler: Compiled 33537 to 17221 computations (48.7% saved)

prune186.0ms (2.4%)

Pruning

23 alts after pruning (10 fresh and 13 done)

	Pruned	Kept	Total
New	846	9	855
Fresh	0	1	1
Picked	0	1	1
Done	0	12	12
Total	846	23	869

Error

0.2b

Counts

869 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	59.5b	(-.f64 x (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)) x))
✓	59.5b	(-.f64 x (-.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)))
	59.6b	(-.f64 x (-.f64 (neg.f64 x) (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) (+.f64 x x)) x) x)))
	59.6b	(-.f64 x (-.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) (+.f64 x x)) (.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) (+.f64 x x)) (/.f64 1 (-.f64 (*.f64 (/.f64 eps x) 1/2) (+.f64 x x)))))))
✓	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	60.4b	(-.f64 x (*.f64 (/.f64 eps x) -1/2))
✓	19.3b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	19.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 eps)) (pow.f64 x 2))))))
✓	35.9b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
✓	19.4b	(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
✓	23.1b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.4b	(-.f64 x x)
✓	49.4b	(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
✓	44.7b	(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
✓	53.3b	(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))))
✓	40.6b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))))
	40.6b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 1/2 (/.f64 eps x)) (/.f64 1 (/.f64 1/2 (/.f64 eps x)))))))
	40.7b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))) (/.f64 1 (/.f64 eps x)))))
	40.7b	(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (*.f64 1/2 (/.f64 x eps))))
	48.4b	(.f64 (/.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 eps x) (/.f64 eps x)))
	60.4b	(.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (+.f64 x (*.f64 (/.f64 eps x) 1/2)))))
✓	40.6b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 442 to 258 computations (41.6% saved)

regimes91.0ms (1.2%)

Counts

27 → 2

Calls

Call 1

Inputs
x
(*.f64 x 2)
(-.f64 x x)
(*.f64 1/2 (/.f64 eps x))
(-.f64 x (*.f64 (/.f64 eps x) -1/2))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(.f64 (/.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 eps x) (/.f64 eps x)))
(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (*.f64 1/2 (/.f64 x eps))))
(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))))
(-.f64 x (-.f64 (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)) x))
(-.f64 x (-.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) x) x)))
(-.f64 x (-.f64 (neg.f64 x) (+.f64 (-.f64 (-.f64 (*.f64 (/.f64 eps x) 1/2) (+.f64 x x)) x) x)))
(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (.f64 (/.f64 eps x) (/.f64 1/2 (/.f64 eps x))) (/.f64 1 (/.f64 eps x)))))
(.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (.f64 (+.f64 x (.f64 (/.f64 eps x) 1/2)) (/.f64 1 (+.f64 x (*.f64 (/.f64 eps x) 1/2)))))
(.f64 (/.f64 eps x) (.f64 (/.f64 eps x) (.f64 (/.f64 1/2 (/.f64 eps x)) (.f64 (/.f64 1/2 (/.f64 eps x)) (/.f64 1 (/.f64 1/2 (/.f64 eps x)))))))
(-.f64 x (-.f64 (neg.f64 x) (.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) (+.f64 x x)) (.f64 (-.f64 (.f64 (/.f64 eps x) 1/2) (+.f64 x x)) (/.f64 1 (-.f64 (*.f64 (/.f64 eps x) 1/2) (+.f64 x x)))))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (-.f64 (.f64 x x) eps) (/.f64 1 (-.f64 (*.f64 x x) eps))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 eps (.f64 x x)) (-.f64 eps (*.f64 x x))))))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (.f64 x x) (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (.f64 (-.f64 (.f64 x x) eps) (.f64 eps (/.f64 1 (-.f64 (*.f64 x x) eps)))))))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(-.f64 x (sqrt.f64 (.f64 (-.f64 (.f64 x x) eps) (.f64 (/.f64 1 (-.f64 (.f64 x x) eps)) (-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -1 eps)) (pow.f64 x 2))))))
(+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) 5/128))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 1/2 (+.f64 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (*.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (/.f64 eps x)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 eps 2) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))

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

Calls

3 calls:

35.0ms	x
23.0ms	eps
21.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
8.6b	2	`x`
10.7b	2	`eps`
1.0b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 563 to 288 computations (48.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0121044928934112e-151	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes44.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 1/2 (/.f64 eps x))

Calls

2 calls:

23.0ms	x
16.0ms	eps

Results

Error	Segments	Branch
9.6b	2	`x`
13.1b	2	`eps`

Compiler

Compiled 236 to 105 computations (55.5% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	1.0336617071384175e-81	1.6245289795007978e-80

Results

6.0ms	71×	body	256	valid
3.0ms	22×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	5×	body	256	invalid

Compiler

Compiled 111 to 82 computations (26.1% saved)

regimes25.0ms (0.3%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 eps x))

Calls

2 calls:

13.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
40.6b	1	`x`
40.6b	1	`eps`

Compiler

Compiled 231 to 102 computations (55.8% saved)

regimes9.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x 2)
(-.f64 x x)

Outputs
(-.f64 x x)

Calls

2 calls:

5.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
61.4b	1	`x`
61.4b	1	`eps`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(*.f64 x 2)

Outputs
x

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
61.8b	1	`x`
61.8b	1	`eps`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	125

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 4058375368249729/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x x)
x

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 1/2 (/.f64 eps x)))
(if (<=.f64 x 4058375368249729/1067993517960455041197510853084776057301352261178326384973520803911109862890320275011481043468288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 1/2 (/.f64 eps x)))
(*.f64 1/2 (/.f64 eps x))
(-.f64 x x)
x

Compiler

Compiled 57 to 33 computations (42.1% saved)

soundness0.0ms (0%)

end31.0ms (0.4%)

Compiler: Compiled 49 to 23 computations (53.1% saved)