Details

analyze813.0ms (9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample6.9s (77%)

Results

3.6s	4126×	body	2048	valid
1.7s	8553×	body	256	invalid
894.0ms	2064×	body	1024	valid
496.0ms	1043×	body	512	valid
187.0ms	1023×	body	256	valid

Bogosity

preprocess147.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1280×	`rational_best_45_simplify-96`
1104×	`rational_best_45_simplify-98`
1052×	`rational_best_45_simplify-84`
918×	`rational_best_45_simplify-44`
752×	`rational_best_45_simplify-40`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	26	41
2	60	41
3	185	41
4	745	41
5	2413	41
6	6629	41
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify137.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1280×	`rational_best_45_simplify-96`
1104×	`rational_best_45_simplify-98`
1052×	`rational_best_45_simplify-84`
918×	`rational_best_45_simplify-44`
752×	`rational_best_45_simplify-40`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	26	41
2	60	41
3	185	41
4	745	41
5	2413	41
6	6629	41

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))

eval1.0ms (0%)

Compiler: Compiled 29 to 18 computations (37.9% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 51 to 27 computations (47.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	v	@	0	(.f64 5 (.f64 v v))
1.0ms	v	@	inf	(.f64 5 (.f64 v v))
1.0ms	v	@	-inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
1.0ms	v	@	inf	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	v	@	0	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`rational_best-4`
1548×	`rational_best-2`
1548×	`rational_best-3`
1548×	`rational_best-1`
796×	`rational_best_45_simplify-25`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	91
1	72	91
2	193	91
3	694	91
4	3191	91

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(.f64 5 (.f64 v v))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 0 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (acos.f64 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)) (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))) (neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))))

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1340×	`rational_best_45_simplify-98`
1174×	`rational_best_45_simplify-84`
918×	`rational_best_45_simplify-71`
616×	`rational_best_45_simplify-100`
538×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	203	4177
1	698	4139
2	3407	4139

Stop Event

1×	node limit

Counts

123 → 118

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(+.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
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(+.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
(+.f64 (.f64 0 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(-.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(-.f64 0 (neg.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))))
(.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 1 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))))
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(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) (/.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(.f64 (.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))
(.f64 (neg.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))

Outputs
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (-.f64 (pow.f64 v 2) 1)))
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) -1)))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
(*.f64 5 (pow.f64 v 2))
-1
(-.f64 (*.f64 4 (pow.f64 v 2)) 1)
(+.f64 (*.f64 (pow.f64 v 2) 4) -1)
(+.f64 -1 (*.f64 (pow.f64 v 2) 4))
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 4))) 1)
(+.f64 (.f64 4 (pow.f64 v 4)) (+.f64 (.f64 (pow.f64 v 2) 4) -1))
(+.f64 -1 (*.f64 4 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(-.f64 (+.f64 (.f64 4 (pow.f64 v 2)) (+.f64 (.f64 4 (pow.f64 v 4)) (*.f64 4 (pow.f64 v 6)))) 1)
(+.f64 (+.f64 (.f64 4 (pow.f64 v 4)) (.f64 4 (pow.f64 v 6))) (+.f64 (*.f64 (pow.f64 v 2) 4) -1))
(+.f64 -1 (+.f64 (.f64 (pow.f64 v 2) 4) (.f64 4 (+.f64 (pow.f64 v 6) (pow.f64 v 4)))))
(+.f64 (+.f64 -1 (.f64 (pow.f64 v 2) 4)) (.f64 4 (+.f64 (pow.f64 v 4) (pow.f64 v 6))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))) (*.f64 4 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6)))))))
-5
(neg.f64 (+.f64 5 (*.f64 4 (/.f64 1 (pow.f64 v 2)))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (*.f64 4 (+.f64 (/.f64 1 (pow.f64 v 2)) (/.f64 1 (pow.f64 v 4))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (*.f64 4 (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (/.f64 1 (pow.f64 v 4)))) (*.f64 4 (/.f64 1 (pow.f64 v 6))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 6)) (/.f64 1 (pow.f64 v 4)))))))
(neg.f64 (+.f64 5 (+.f64 (.f64 4 (/.f64 1 (pow.f64 v 2))) (.f64 4 (+.f64 (/.f64 1 (pow.f64 v 4)) (/.f64 1 (pow.f64 v 6)))))))
(+.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(+.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 0 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(+.f64 0 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(+.f64 (.f64 0 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(-.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))) 0)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(-.f64 0 (neg.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1)))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) 1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 1 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (/.f64 1 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (.f64 (.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
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(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
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(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
(.f64 -1 (neg.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
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(.f64 -1 (.f64 1 (neg.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
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(.f64 (/.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))) (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v))))
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(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))
(neg.f64 (neg.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))
(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (*.f64 v v)))

eval89.0ms (1%)

Compiler: Compiled 4433 to 2722 computations (38.6% saved)

prune22.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

0.8b

Counts

119 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
▶	0.9b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
▶	1.1b	(acos.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize2.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 4 (pow.f64 v 2))
✓	0.8b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

Compiler

Compiled 28 to 23 computations (17.9% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	0	(*.f64 4 (pow.f64 v 2))
0.0ms	v	@	inf	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
0.0ms	v	@	0	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
0.0ms	v	@	-inf	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

rewrite107.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`rational_best_45_simplify-71`
990×	`rational_best_45_simplify-100`
954×	`rational_best-4`
954×	`rational_best-2`
954×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	60	36
2	125	36
3	388	36
4	1793	36

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
(*.f64 4 (pow.f64 v 2))

Outputs
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Outputs

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simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational_best_45_simplify-84`
1110×	`rational_best_45_simplify-98`
738×	`rational_best_45_simplify-71`
580×	`rational_best_45_simplify-100`
528×	`rational_best_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2203
1	684	2199
2	3307	2193

Stop Event

1×	node limit

Counts

81 → 89

Calls

Call 1

Inputs
(+.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
(+.f64 0 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)))
(-.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 0)
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(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (neg.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 1 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))))) (neg.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (neg.f64 (neg.f64 (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))))) (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(.f64 (neg.f64 (.f64 (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))))) (neg.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)) 1)
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1))) (/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1)))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(/.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 1 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)))) (.f64 (acos.f64 (+.f64 (.f64 4 (pow.f64 v 2)) -1)) (/.f64 1 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(neg.f64 (neg.f64 (acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))))
(acos.f64 (+.f64 (*.f64 4 (pow.f64 v 2)) -1))
(+.f64 (*.f64 4 (pow.f64 v 2)) 0)
(*.f64 4 (pow.f64 v 2))
(+.f64 0 (*.f64 4 (pow.f64 v 2)))
(*.f64 4 (pow.f64 v 2))
(-.f64 (*.f64 4 (pow.f64 v 2)) 0)
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 0 (.f64 4 (pow.f64 v 2)))))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (*.f64 (pow.f64 v 2) (/.f64 4 (pow.f64 v 2))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (*.f64 4 (pow.f64 v 2)))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))) (/.f64 (.f64 4 (pow.f64 v 2)) (*.f64 4 (pow.f64 v 2)))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (neg.f64 (*.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 4 (pow.f64 v 2)) (.f64 (neg.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2)))) 0))
(*.f64 4 (pow.f64 v 2))
(-.f64 0 (*.f64 (pow.f64 v 2) -4))
(neg.f64 (*.f64 (pow.f64 v 2) -4))
(-.f64 (.f64 0 (.f64 (pow.f64 v 2) (/.f64 4 (pow.f64 v 2)))) (.f64 (.f64 (pow.f64 v 2) (/.f64 4 (pow.f64 v 2))) (neg.f64 (pow.f64 v 2))))
(*.f64 4 (pow.f64 v 2))
(-.f64 (.f64 0 (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (.f64 4 (pow.f64 v 2))))) (.f64 (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (.f64 4 (pow.f64 v 2)))) (*.f64 (pow.f64 v 2) -4)))
(.f64 (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (.f64 4 (pow.f64 v 2)))) (neg.f64 (*.f64 (pow.f64 v 2) -4)))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2))))) (.f64 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) (neg.f64 (pow.f64 v 2))))
(.f64 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (*.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) (-.f64 0 (neg.f64 (pow.f64 v 2))))
(.f64 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (*.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) (-.f64 (pow.f64 v 2) 0))
(.f64 (pow.f64 v 2) (.f64 4 (*.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (/.f64 (pow.f64 v 2) (pow.f64 v 2)))))
(-.f64 (.f64 0 (.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))) (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))))) (.f64 (.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))) (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2)))) (*.f64 (pow.f64 v 2) -4)))
(.f64 (.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))) (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2)))) (neg.f64 (*.f64 (pow.f64 v 2) -4)))
(/.f64 (*.f64 4 (pow.f64 v 2)) 1)
(*.f64 4 (pow.f64 v 2))
(/.f64 (*.f64 4 (pow.f64 v 2)) (/.f64 (pow.f64 v 2) (pow.f64 v 2)))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 4 (pow.f64 v 2)) (*.f64 4 (pow.f64 v 2))))
(/.f64 (*.f64 4 (pow.f64 v 2)) (/.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (/.f64 (pow.f64 v 2) (pow.f64 v 2))))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2))) (*.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (/.f64 (.f64 4 (pow.f64 v 2)) (.f64 4 (pow.f64 v 2))) (/.f64 (.f64 4 (pow.f64 v 2)) (*.f64 4 (pow.f64 v 2)))))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (*.f64 4 (/.f64 (pow.f64 v 2) (pow.f64 v 2))))))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 4 (.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (/.f64 (pow.f64 v 2) (pow.f64 v 2)))) (.f64 4 (*.f64 (/.f64 (pow.f64 v 2) (pow.f64 v 2)) (/.f64 (pow.f64 v 2) (pow.f64 v 2))))))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 (pow.f64 v 2) (/.f64 4 (pow.f64 v 2))) (*.f64 (pow.f64 v 2) (/.f64 4 (pow.f64 v 2)))))
(*.f64 4 (pow.f64 v 2))
(/.f64 (.f64 4 (pow.f64 v 2)) (/.f64 (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (.f64 4 (pow.f64 v 2)))) (.f64 (.f64 4 (pow.f64 v 2)) (/.f64 1 (*.f64 4 (pow.f64 v 2))))))
(/.f64 (*.f64 (pow.f64 v 2) -4) -1)
(neg.f64 (*.f64 (pow.f64 v 2) -4))
(neg.f64 (*.f64 (pow.f64 v 2) -4))

eval81.0ms (0.9%)

Compiler: Compiled 3008 to 2638 computations (12.3% saved)

prune12.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Error

0.8b

Counts

92 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
✓	0.9b	(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))
✓	1.1b	(acos.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.3b remaining (-41.8%)

Threshold costs -0.3b (-41.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(acos.f64 -1)
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 (-.f64 (*.f64 4 (pow.f64 v 2)) 1))

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Calls

4 calls:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
2.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

Results

Error	Segments	Branch
0.8b	1	`v`
0.8b	1	`(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))`
0.8b	1	`(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))`
0.8b	1	`(*.f64 v v)`

Compiler

Compiled 60 to 41 computations (31.7% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 -1)

Outputs
(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
(acos.f64 -1)

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end145.0ms (1.6%)

Compiler: Compiled 17 to 12 computations (29.4% saved)

Details

analyze813.0ms (9%)

sample6.9s (77%)

preprocess147.0ms (1.6%)

simplify137.0ms (1.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize30.0ms (0.3%)

series6.0ms (0.1%)

rewrite119.0ms (1.3%)

simplify114.0ms (1.3%)

eval89.0ms (1%)

prune22.0ms (0.2%)

localize2.0ms (0%)

localize21.0ms (0.2%)

series2.0ms (0%)

rewrite107.0ms (1.2%)

simplify119.0ms (1.3%)

eval81.0ms (0.9%)

prune12.0ms (0.1%)

regimes10.0ms (0.1%)

simplify94.0ms (1%)

soundness0.0ms (0%)

end145.0ms (1.6%)

Profiling