Details

analyze84.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (45.1%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess157.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

1740×	`rational_best_oopsla_all_46_json_45_simplify-10`
1098×	`rational_best_oopsla_all_46_json_45_simplify-49`
1062×	`rational_best_oopsla_all_46_json_45_simplify-7`
968×	`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	17	74
1	27	74
2	57	74
3	166	74
4	682	74
5	3040	74
6	5221	74
7	7901	74
0	2	2
1	2	2

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 10))

Outputs

(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))

(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 10))

(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))

Symmetry

(sort re im)

Compiler

Compiled 16 to 12 computations (25% saved)

simplify157.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1740×	`rational_best_oopsla_all_46_json_45_simplify-10`
1102×	`rational_best_oopsla_all_46_json_45_simplify-49`
1044×	`rational_best_oopsla_all_46_json_45_simplify-7`
944×	`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	37
1	24	37
2	54	37
3	164	37
4	677	37
5	3022	37
6	5208	37
7	7898	37

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))

Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% 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

27.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.8b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 re re) (.f64 im im))
✓	0.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
✓	25.6b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 49 to 13 computations (73.5% saved)

series8.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
1.0ms	re	@	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
1.0ms	im	@	0	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
1.0ms	re	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
0.0ms	re	@	0	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite81.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`rational_best_oopsla_all_46_json-2`
1626×	`rational_best_oopsla_all_46_json-1`
1626×	`rational_best_oopsla_all_46_json-4`
1626×	`rational_best_oopsla_all_46_json-3`
1174×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	78	79
2	218	79
3	777	79
4	3448	79

Stop Event

1×	node limit

Counts

3 → 91

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(+.f64 (.f64 re re) (.f64 im im))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 0 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 1 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 1 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (.f64 0 (/.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) 0)))) (#(struct:change #<rule 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(.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))) (/.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (.f64 1 (.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (.f64 (/.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))) (.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10)) (/.f64 1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) 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(*.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 1 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (*.f64 re re) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)) (neg.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (*.f64 re re) (*.f64 im im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))) (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 re re) (*.f64 im im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (/.f64 (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (+.f64 (*.f64 re re) (*.f64 im im)) (+.f64 (*.f64 re re) (*.f64 im im)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 im im)) (*.f64 re re)))))))

simplify114.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational_best_oopsla_all_46_json_45_simplify-49`
1432×	`rational_best_oopsla_all_46_json_45_simplify-72`
1010×	`rational_best_oopsla_all_46_json_45_simplify-23`
958×	`rational_best_oopsla_all_46_json_45_simplify-35`
832×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	6083
1	1067	5959
2	4742	5959

Stop Event

1×	node limit

Counts

163 → 202

Calls

Call 1

Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
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(/.f64 (log.f64 im) (log.f64 10))
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(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
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(/.f64 (log.f64 re) (log.f64 10))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
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(pow.f64 im 2)
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(pow.f64 im 2)
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(neg.f64 (-.f64 (neg.f64 (.f64 im im)) (.f64 re re)))

Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) im))
(+.f64 im (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (.f64 1/2 (/.f64 (pow.f64 re 2) im))))
(+.f64 im (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 im (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 im (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
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(+.f64 re (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(neg.f64 re)
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re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 re (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
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(+.f64 re (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(+.f64 re (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
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(/.f64 (+.f64 (.f64 re re) (.f64 im im)) 1)
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(/.f64 (+.f64 (.f64 re re) (.f64 im im)) (/.f64 (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im))) (/.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (.f64 im im)))))
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eval77.0ms (1.9%)

Compiler: Compiled 6130 to 3195 computations (47.9% saved)

prune36.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	199	4	203

Error

0.6b

Counts

203 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
▶	31.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
▶	29.9b	(/.f64 (log.f64 im) (log.f64 10))
▶	36.8b	(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 10)))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

localize46.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 re 2)
✓	0.3b	(*.f64 (pow.f64 re 2) (log.f64 10))
✓	0.4b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))
✓	14.3b	(/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 10)))

Compiler

Compiled 87 to 71 computations (18.4% saved)

series63.0ms (1.5%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 10)))
18.0ms	re	@	0	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))
10.0ms	re	@	-inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))
6.0ms	re	@	inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))
6.0ms	re	@	0	(/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 10)))

rewrite88.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2064×	`rational_best_oopsla_all_46_json-2`
2064×	`rational_best_oopsla_all_46_json-1`
2064×	`rational_best_oopsla_all_46_json-4`
2064×	`rational_best_oopsla_all_46_json-3`
858×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	87	74
2	214	74
3	811	74
4	3974	74

Stop Event

1×	node limit

Counts

4 → 132

Calls

Call 1

Inputs
(/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 10)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))
(*.f64 (pow.f64 re 2) (log.f64 10))
(pow.f64 re 2)

Outputs
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simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational_best_oopsla_all_46_json_45_simplify-72`
976×	`rational_best_oopsla_all_46_json_45_simplify-23`
726×	`rational_best_oopsla_all_46_json_45_simplify-89`
618×	`rational_best_oopsla_all_46_json_45_simplify-24`
588×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	255	4012
1	911	4004
2	4078	4004

Stop Event

1×	node limit

Counts

176 → 148

Calls

Call 1

Inputs
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
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(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
(/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))
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(*.f64 (log.f64 10) (pow.f64 re 2))
(+.f64 (/.f64 (pow.f64 im 2) (*.f64 (pow.f64 re 2) (log.f64 10))) 0)
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(*.f64 (log.f64 10) (pow.f64 re 2))
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(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 (*.f64 (pow.f64 re 2) (log.f64 10)) 0)
(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (*.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (log.f64 10))) 0))
(*.f64 (log.f64 10) (pow.f64 re 2))
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(*.f64 (log.f64 10) (pow.f64 re 2))
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(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (.f64 (log.f64 10) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) 0))
(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (pow.f64 re 2) (log.f64 10))) 0))
(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (neg.f64 (*.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) 0))
(*.f64 (log.f64 10) (pow.f64 re 2))
(-.f64 0 (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10))))
(neg.f64 (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10))))
(neg.f64 (*.f64 (log.f64 10) (neg.f64 (pow.f64 re 2))))
(-.f64 0 (.f64 (neg.f64 (.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) (pow.f64 re 2)))
(neg.f64 (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10))))
(neg.f64 (*.f64 (log.f64 10) (neg.f64 (pow.f64 re 2))))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (pow.f64 re 2) (log.f64 10)))) (.f64 (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (pow.f64 re 2) (log.f64 10))) (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10)))))
(.f64 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (.f64 (log.f64 10) (pow.f64 re 2))) (neg.f64 (.f64 (pow.f64 re 2) (neg.f64 (log.f64 10)))))
(.f64 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (.f64 (log.f64 10) (pow.f64 re 2))) (neg.f64 (.f64 (log.f64 10) (neg.f64 (pow.f64 re 2)))))
(/.f64 (*.f64 (pow.f64 re 2) (log.f64 10)) 1)
(*.f64 (log.f64 10) (pow.f64 re 2))
(/.f64 (*.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))
(*.f64 (log.f64 10) (pow.f64 re 2))
(/.f64 (*.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (log.f64 10) (log.f64 10)))
(*.f64 (log.f64 10) (pow.f64 re 2))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (*.f64 (pow.f64 re 2) (log.f64 10))))
(/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (log.f64 10) (pow.f64 re 2))))
(/.f64 (*.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(/.f64 (*.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (*.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(*.f64 (log.f64 10) (pow.f64 re 2))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (log.f64 10))) (*.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (log.f64 10)))))
(*.f64 (log.f64 10) (pow.f64 re 2))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (.f64 (pow.f64 re 2) (log.f64 10))) (/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (*.f64 (pow.f64 re 2) (log.f64 10)))))
(/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (.f64 (log.f64 10) (pow.f64 re 2))) (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (pow.f64 re 2))) (*.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (pow.f64 re 2)))))
(/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (pow.f64 re 2))) (*.f64 (pow.f64 re 2) (/.f64 (log.f64 10) (pow.f64 re 2)))))
(/.f64 (.f64 (pow.f64 re 2) (log.f64 10)) (/.f64 (.f64 (log.f64 10) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) (.f64 (log.f64 10) (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))))
(/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (.f64 (log.f64 10) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) (.f64 (log.f64 10) (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))))
(/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (/.f64 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (*.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))))
(neg.f64 (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10))))
(neg.f64 (*.f64 (log.f64 10) (neg.f64 (pow.f64 re 2))))
(neg.f64 (.f64 (neg.f64 (.f64 (log.f64 10) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))) (pow.f64 re 2)))
(neg.f64 (*.f64 (pow.f64 re 2) (neg.f64 (log.f64 10))))
(neg.f64 (*.f64 (log.f64 10) (neg.f64 (pow.f64 re 2))))
(+.f64 (pow.f64 re 2) 0)
(pow.f64 re 2)
(+.f64 0 (pow.f64 re 2))
(pow.f64 re 2)
(-.f64 (pow.f64 re 2) 0)
(pow.f64 re 2)
(-.f64 0 (neg.f64 (pow.f64 re 2)))
(pow.f64 re 2)
(*.f64 (pow.f64 re 2) 1)
(pow.f64 re 2)
(*.f64 (pow.f64 re 2) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))
(pow.f64 re 2)
(*.f64 (pow.f64 re 2) (/.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (pow.f64 re 2) (/.f64 1 (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 1 (*.f64 (pow.f64 re 2) (/.f64 1 (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (*.f64 (pow.f64 re 2) (/.f64 1 (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (pow.f64 re 2) (/.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (*.f64 (pow.f64 re 2) (/.f64 1 (pow.f64 re 2))) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (pow.f64 re 2) (.f64 (*.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(*.f64 -1 (neg.f64 (pow.f64 re 2)))
(pow.f64 re 2)
(.f64 -1 (.f64 (pow.f64 re 2) (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 -1 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (neg.f64 (pow.f64 re 2))))
(pow.f64 re 2)
(*.f64 1 (pow.f64 re 2))
(pow.f64 re 2)
(*.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (pow.f64 re 2))
(pow.f64 re 2)
(.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (.f64 (pow.f64 re 2) (/.f64 1 (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(pow.f64 re 2)
(*.f64 (neg.f64 (pow.f64 re 2)) -1)
(pow.f64 re 2)
(*.f64 (neg.f64 (pow.f64 re 2)) (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (neg.f64 (pow.f64 re 2)) (.f64 1 (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 (neg.f64 (pow.f64 re 2)) (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)))))
(pow.f64 re 2)
(.f64 (neg.f64 (pow.f64 re 2)) (.f64 (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(.f64 (.f64 (pow.f64 re 2) (/.f64 1 (pow.f64 re 2))) (pow.f64 re 2))
(pow.f64 re 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (neg.f64 (pow.f64 re 2)))
(pow.f64 re 2)
(.f64 (.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (pow.f64 re 2))
(pow.f64 re 2)
(/.f64 (pow.f64 re 2) 1)
(pow.f64 re 2)
(/.f64 (pow.f64 re 2) (/.f64 (pow.f64 re 2) (pow.f64 re 2)))
(pow.f64 re 2)
(/.f64 (pow.f64 re 2) (/.f64 (/.f64 (pow.f64 re 2) (pow.f64 re 2)) (/.f64 (pow.f64 re 2) (pow.f64 re 2))))
(pow.f64 re 2)
(/.f64 (neg.f64 (pow.f64 re 2)) -1)
(pow.f64 re 2)
(neg.f64 (neg.f64 (pow.f64 re 2)))
(pow.f64 re 2)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (log.f64 im) (log.f64 10))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series22.0ms (0.5%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 10))
7.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 10))
6.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 10))

rewrite92.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best_oopsla_all_46_json_45_simplify-23`
994×	`rational_best_oopsla_all_46_json_45_simplify-13`
980×	`rational_best_oopsla_all_46_json_45_simplify-37`
728×	`rational_best_oopsla_all_46_json-2`
728×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	42	15
2	92	15
3	287	15
4	1330	15
5	7591	15

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))

Outputs

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simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational_best_oopsla_all_46_json_45_simplify-89`
1434×	`rational_best_oopsla_all_46_json_45_simplify-74`
1134×	`rational_best_oopsla_all_46_json_45_simplify-49`
1034×	`rational_best_oopsla_all_46_json_45_simplify-24`
990×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1096
1	457	1080
2	2602	1080

Stop Event

1×	node limit

Counts

64 → 61

Calls

Call 1

Inputs
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Outputs
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(/.f64 (log.f64 im) (log.f64 10))
(*.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) -1)
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (neg.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))))
(/.f64 (log.f64 im) (log.f64 10))
(.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (.f64 (neg.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))) (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))))
(/.f64 (log.f64 im) (log.f64 10))
(.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (.f64 -1 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))))
(/.f64 (log.f64 im) (log.f64 10))
(.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (neg.f64 (.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))) (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))))))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (-.f64 (/.f64 0 (/.f64 (log.f64 im) (log.f64 10))) (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))))
(/.f64 (log.f64 im) (log.f64 10))
(.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))) (neg.f64 (.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 10))))))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (neg.f64 (/.f64 (log.f64 im) (log.f64 10))))
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(/.f64 (log.f64 im) (log.f64 10))
(*.f64 (/.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))) (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))) (/.f64 (log.f64 im) (log.f64 10)))
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(/.f64 (log.f64 im) (log.f64 10))
(*.f64 (neg.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))) (neg.f64 (/.f64 (log.f64 im) (log.f64 10))))
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(/.f64 (log.f64 im) (log.f64 10))
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(/.f64 (log.f64 im) (log.f64 10))
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(/.f64 (log.f64 im) (log.f64 10))
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(/.f64 (log.f64 im) (log.f64 10))

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series21.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	re	@	inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
7.0ms	re	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
6.0ms	re	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational_best_oopsla_all_46_json_45_simplify-23`
1294×	`rational_best_oopsla_all_46_json_45_simplify-37`
1272×	`rational_best_oopsla_all_46_json_45_simplify-13`
868×	`rational_best_oopsla_all_46_json-2`
868×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	51	19
2	115	19
3	359	19
4	1635	19

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

Outputs

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(log.f64 10))))) (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))) (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))))))

simplify114.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1168×	`rational_best_oopsla_all_46_json_45_simplify-7`
1050×	`rational_best_oopsla_all_46_json_45_simplify-72`
1044×	`rational_best_oopsla_all_46_json_45_simplify-49`
554×	`rational_best_oopsla_all_46_json_45_simplify-36`
498×	`rational_best_oopsla_all_46_json_45_simplify-31`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	1287
1	407	1271
2	2798	1271
3	6734	1271

Stop Event

1×	node limit

Counts

61 → 55

Calls

Call 1

Inputs
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(.f64 (neg.f64 (.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))) (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))
(*.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)))
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(neg.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 10))))

Outputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 10))
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(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))) (log.f64 10))
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(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

eval387.0ms (9.4%)

Compiler: Compiled 8520 to 6618 computations (22.3% saved)

prune39.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	264	0	264
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	264	4	268

Error

0.6b

Counts

268 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
✓	31.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
✓	29.9b	(/.f64 (log.f64 im) (log.f64 10))
✓	36.8b	(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 10)))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))))

Compiler

Compiled 52 to 43 computations (17.3% saved)

regimes124.0ms (3%)

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (pow.f64 re 2) (log.f64 10)))) (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))

Calls

8 calls:

60.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
10.0ms	im
10.0ms	re
9.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
9.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Results

Error	Segments	Branch
5.8b	3	`re`
7.3b	3	`im`
12.3b	3	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))`
12.3b	3	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
12.3b	3	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
12.3b	3	`(+.f64 (.f64 re re) (.f64 im im))`
8.5b	3	`(*.f64 re re)`
11.7b	3	`(*.f64 im im)`

Compiler

Compiled 106 to 75 computations (29.2% saved)

bsearch30.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	-8.266571839190371e-155	-1.224687081772109e-156
11.0ms	-1.1783016162471325e+48	-7.3056561550859535e+47

Results

27.0ms

176×

body

256

valid

Compiler

Compiled 276 to 216 computations (21.7% saved)

regimes18.0ms (0.4%)

Accuracy

Total -50.9b remaining (-549.1%)

Threshold costs -50.9b (-549.1%)

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))

Calls

2 calls:

9.0ms	re
8.0ms	im

Results

Error	Segments	Branch
9.3b	2	`re`
11.6b	2	`im`

Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch16.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	-5.7314650512018985e-70	-1.0156441065801563e-70

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 121 to 104 computations (14% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	147

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 re -1159999999999999921053756468917698218113087045632) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (if (<=.f64 re -1980575480546345/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))))

(if (<=.f64 re -8858570148549325/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))

(/.f64 (log.f64 im) (log.f64 10))

Outputs

(if (<=.f64 re -1159999999999999921053756468917698218113087045632) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (if (<=.f64 re -1980575480546345/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928) (/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))))

(if (<=.f64 re -8858570148549325/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408) (/.f64 (log.f64 (neg.f64 re)) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))

(/.f64 (log.f64 im) (log.f64 10))

Compiler

Compiled 57 to 45 computations (21.1% saved)

soundness108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational_best_oopsla_all_46_json_45_simplify-49`
1432×	`rational_best_oopsla_all_46_json_45_simplify-72`
1010×	`rational_best_oopsla_all_46_json_45_simplify-23`
958×	`rational_best_oopsla_all_46_json_45_simplify-35`
832×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	6083
1	1067	5959
2	4742	5959

Stop Event

1×	node limit

Compiler

Compiled 22 to 19 computations (13.6% saved)

end119.0ms (2.9%)

Compiler: Compiled 119 to 87 computations (26.9% saved)

Details

analyze84.0ms (2%)

sample1.9s (45.1%)

preprocess157.0ms (3.8%)

simplify157.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.4%)

series8.0ms (0.2%)

rewrite81.0ms (2%)

simplify114.0ms (2.8%)

eval77.0ms (1.9%)

prune36.0ms (0.9%)

localize46.0ms (1.1%)

series63.0ms (1.5%)

rewrite88.0ms (2.1%)

simplify101.0ms (2.4%)

localize9.0ms (0.2%)

series22.0ms (0.5%)

rewrite92.0ms (2.2%)

simplify68.0ms (1.6%)

localize11.0ms (0.3%)

series21.0ms (0.5%)

rewrite53.0ms (1.3%)

simplify114.0ms (2.8%)

eval387.0ms (9.4%)

prune39.0ms (1%)

regimes124.0ms (3%)

bsearch30.0ms (0.7%)

regimes18.0ms (0.4%)

bsearch16.0ms (0.4%)

simplify4.0ms (0.1%)

soundness108.0ms (2.6%)

end119.0ms (2.9%)

Profiling