Details

analyze577.0ms (3.5%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	7
11.5%	8.6%	66.3%	0.1%	0%	25%	0%	8
18.2%	13.7%	61.2%	0.1%	0%	25%	0%	9
32.8%	20.5%	41.9%	0.1%	0%	37.4%	0%	10
38.9%	24.3%	38.1%	0.1%	0%	37.4%	0%	11
45.7%	28.5%	33.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.6s (15.8%)

Results

2.1s	8256×	body	256	valid
471.0ms	2068×	body	256	invalid

Bogosity

preprocess60.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1336×	`rational_best_oopsla_all_46_json_45_simplify-72`
1284×	`rational_best_oopsla_all_46_json_45_simplify-49`
896×	`rational_best_oopsla_all_46_json_45_simplify-7`
874×	`rational_best_oopsla_all_46_json_45_simplify-10`
850×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	252
1	149	228
2	347	228
3	1050	228
4	4125	228
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (atan2.f64 re im) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) (log.f64 re)) (.f64 (atan2.f64 im base) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (atan2.f64 base re) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) (log.f64 base)) (.f64 (atan2.f64 re im) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) 0) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) (log.f64 re)) (.f64 (atan2.f64 im base) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) (log.f64 re))) (.f64 (log.f64 re) (log.f64 re)))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 base base)))) (log.f64 re)) (.f64 (log.f64 re) (log.f64 re)))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (atan2.f64 base re) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))
(/.f64 (+.f64 0 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im))) (.f64 (log.f64 im) (log.f64 im)))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) (log.f64 im)) (.f64 (log.f64 im) (log.f64 im)))

Symmetry

(sort re im)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best_oopsla_all_46_json_45_simplify-89`
1304×	`rational_best_oopsla_all_46_json_45_simplify-23`
1086×	`rational_best_oopsla_all_46_json_45_simplify-74`
852×	`rational_best_oopsla_all_46_json_45_simplify-10`
838×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	53	57
2	132	57
3	412	57
4	1656	57
5	6278	57

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Outputs

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))

(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) 0) (*.f64 (log.f64 base) (log.f64 base)))

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

eval1.0ms (0%)

Compiler: Compiled 69 to 24 computations (65.2% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

32.6b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 73 to 12 computations (83.6% saved)

series72.0ms (0.4%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
21.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
16.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
15.0ms	base	@	0	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
6.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))
3.0ms	re	@	-inf	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`rational_best_oopsla_all_46_json_45_simplify-35`
652×	`rational_best_oopsla_all_46_json_45_simplify-23`
604×	`rational_best_oopsla_all_46_json_45_simplify-89`
568×	`rational_best_oopsla_all_46_json-2`
568×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	132
1	98	132
2	323	132
3	1303	132
4	5365	132

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

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

simplify168.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational_best_oopsla_all_46_json_45_simplify-13`
1416×	`rational_best_oopsla_all_46_json_45_simplify-49`
950×	`rational_best_oopsla_all_46_json_45_simplify-89`
874×	`rational_best_oopsla_all_46_json_45_simplify-7`
802×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	11649
1	1323	11385
2	4537	11369

Stop Event

1×	node limit

Counts

215 → 310

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)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 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 -1 im)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))))
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(+.f64 (.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))))
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(*.f64 (log.f64 base) (log.f64 re))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re)))
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(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
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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 (+.f64 im (.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))))))
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)))))
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(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 re (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))))))
(*.f64 -1 re)
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(neg.f64 re)
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re
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(.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (-.f64 0 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 -1 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))) -1)
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (.f64 -1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))

eval104.0ms (0.6%)

Compiler: Compiled 10849 to 4121 computations (62% saved)

prune56.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	302	8	310
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	303	8	311

Error

0.4b

Counts

311 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	32.6b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	32.1b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	29.6b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
▶	32.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
▶	29.5b	(/.f64 (log.f64 im) (log.f64 base))
▶	32.6b	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))))
▶	29.5b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
	32.0b	(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))

Compiler

Compiled 310 to 164 computations (47.1% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 im))
✓	0.3b	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))

Compiler

Compiled 30 to 19 computations (36.7% saved)

series59.0ms (0.4%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))
11.0ms	base	@	0	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))
9.0ms	im	@	-inf	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))
6.0ms	im	@	inf	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))
0.0ms	base	@	-inf	(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`rational_best_oopsla_all_46_json_45_simplify-23`
1312×	`rational_best_oopsla_all_46_json_45_simplify-13`
1298×	`rational_best_oopsla_all_46_json_45_simplify-37`
944×	`rational_best_oopsla_all_46_json-2`
944×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	51	32
2	109	32
3	359	32
4	1709	32

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))
(log.f64 (/.f64 1 im))

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

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1544×	`rational_best_oopsla_all_46_json_45_simplify-49`
1322×	`rational_best_oopsla_all_46_json_45_simplify-13`
1270×	`rational_best_oopsla_all_46_json_45_simplify-72`
866×	`rational_best_oopsla_all_46_json_45_simplify-23`
578×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	193	2124
1	688	2092
2	3259	2092

Stop Event

1×	node limit

Counts

118 → 106

Calls

Call 1

Inputs
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Outputs
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(/.f64 (log.f64 (/.f64 1 im)) 1)
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(/.f64 (log.f64 (/.f64 1 im)) (/.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 im))) (/.f64 (log.f64 (/.f64 1 im)) (log.f64 (/.f64 1 im)))))
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localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 14 to 6 computations (57.1% saved)

series19.0ms (0.1%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	base	@	0	(/.f64 (log.f64 im) (log.f64 base))
7.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 im) (log.f64 base))
1.0ms	base	@	inf	(/.f64 (log.f64 im) (log.f64 base))
0.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 base))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational_best_oopsla_all_46_json_45_simplify-23`
1136×	`rational_best_oopsla_all_46_json_45_simplify-13`
1120×	`rational_best_oopsla_all_46_json_45_simplify-37`
832×	`rational_best_oopsla_all_46_json-2`
832×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	42	15
2	98	15
3	320	15
4	1512	15

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1776×	`rational_best_oopsla_all_46_json_45_simplify-89`
1454×	`rational_best_oopsla_all_46_json_45_simplify-74`
1174×	`rational_best_oopsla_all_46_json_45_simplify-49`
1056×	`rational_best_oopsla_all_46_json_45_simplify-24`
978×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1352
1	496	1320
2	2704	1320

Stop Event

1×	node limit

Counts

72 → 65

Calls

Call 1

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
✓	0.3b	(*.f64 (log.f64 im) (log.f64 base))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	base	@	inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	im	@	inf	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	im	@	0	(*.f64 (log.f64 im) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (log.f64 im) (log.f64 base))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`rational_best_oopsla_all_46_json-2`
1970×	`rational_best_oopsla_all_46_json-1`
1970×	`rational_best_oopsla_all_46_json-4`
1970×	`rational_best_oopsla_all_46_json-3`
1132×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	62	50
2	199	50
3	810	50
4	4071	50

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(*.f64 (log.f64 im) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))

Outputs

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

simplify206.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

908×	`rational_best_oopsla_all_46_json_45_simplify-72`
890×	`rational_best_oopsla_all_46_json_45_simplify-37`
834×	`rational_best_oopsla_all_46_json_45_simplify-10`
800×	`rational_best_oopsla_all_46_json_45_simplify-30`
740×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	172	3509
1	539	3445
2	2317	3445
3	6837	3445

Stop Event

1×	node limit

Counts

127 → 108

Calls

Call 1

Inputs
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (log.f64 base) (log.f64 (/.f64 1 im))))
(.f64 (log.f64 base) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (log.f64 base) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (log.f64 base) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (log.f64 base) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (log.f64 im)))
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(neg.f64 (.f64 -1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
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(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
(*.f64 (log.f64 base) (log.f64 im))
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(+.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 0 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 0 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) 0) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) 0) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (.f64 0 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) 0)
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) 0))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))) 0))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(-.f64 0 (.f64 -1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) 1)
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 1 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 -1 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))) -1)
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (.f64 -1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 (log.f64 base) (log.f64 base)))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 re 2) (pow.f64 im 2))
✓	0.0b	(pow.f64 re 2)
✓	0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
✓	30.1b	(sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series5.0ms (0%)

Counts

4 → 62

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(pow.f64 re 2)
0.0ms	re	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
0.0ms	im	@	-inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
0.0ms	im	@	inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
0.0ms	re	@	-inf	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))

rewrite133.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1372×	`rational_best_oopsla_all_46_json-2`
1372×	`rational_best_oopsla_all_46_json-1`
1372×	`rational_best_oopsla_all_46_json-4`
1372×	`rational_best_oopsla_all_46_json-3`
962×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	73	86
2	159	86
3	520	86
4	2466	86
5	7720	86

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(pow.f64 re 2)
(+.f64 (pow.f64 re 2) (pow.f64 im 2))

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1666×	`rational_best_oopsla_all_46_json_45_simplify-72`
1168×	`rational_best_oopsla_all_46_json_45_simplify-89`
988×	`rational_best_oopsla_all_46_json_45_simplify-24`
896×	`rational_best_oopsla_all_46_json_45_simplify-74`
824×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	6689
1	1397	6625
2	5219	6489

Stop Event

1×	node limit

Counts

201 → 254

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)
(+.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)))
(*.f64 -1 im)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 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 -1 im)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 base))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
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(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(pow.f64 im 2)
(pow.f64 re 2)
(pow.f64 re 2)
(pow.f64 re 2)
(pow.f64 im 2)
(pow.f64 im 2)
(+.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) 0)
(+.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 0 (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(+.f64 0 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(+.f64 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(-.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
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(.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
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(*.f64 1 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
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(.f64 (.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 (/.f64 (pow.f64 re 2) (pow.f64 re 2))) (neg.f64 (pow.f64 re 2)))
(/.f64 (pow.f64 re 2) 1)
(/.f64 (pow.f64 re 2) (/.f64 (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))))
(neg.f64 (neg.f64 (pow.f64 re 2)))
(-.f64 (pow.f64 re 2) (neg.f64 (pow.f64 im 2)))
(-.f64 (pow.f64 im 2) (neg.f64 (pow.f64 re 2)))
(-.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 0)
(-.f64 0 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1)
(*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 1 (*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (*.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (*.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))
(.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(.f64 (.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 1 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) -1)
(*.f64 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (neg.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 -1 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(.f64 -1 (.f64 1 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 -1 (.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 (.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))
(*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1)
(/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))))
(/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (/.f64 (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2))) (/.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(neg.f64 (neg.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))

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

localize93.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
✓	0.4b	(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))
	30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 191 to 22 computations (88.5% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
0.0ms	re	@	inf	(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
0.0ms	im	@	inf	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
0.0ms	im	@	inf	(.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
0.0ms	re	@	inf	(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`rational_best_oopsla_all_46_json_45_simplify-35`
808×	`rational_best_oopsla_all_46_json_45_simplify-108`
642×	`rational_best_oopsla_all_46_json_45_simplify-23`
578×	`rational_best_oopsla_all_46_json_45_simplify-89`
538×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	94
1	97	94
2	311	94
3	1229	94
4	5131	94

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))

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

Outputs

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

simplify226.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

948×	`rational_best_oopsla_all_46_json_45_simplify-37`
888×	`rational_best_oopsla_all_46_json_45_simplify-49`
814×	`rational_best_oopsla_all_46_json_45_simplify-13`
666×	`rational_best_oopsla_all_46_json_45_simplify-89`
624×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	10434
1	1011	10194
2	3237	10138

Stop Event

1×	node limit

Counts

162 → 240

Calls

Call 1

Inputs
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(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
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(-.f64 (+.f64 0 (.f64 0 (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 -1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base))) 1)
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))))
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Outputs
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (.f64 -1 (log.f64 (/.f64 1 base))))
(neg.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 (/.f64 1 base))))
(.f64 -1 (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (.f64 -1 (log.f64 (/.f64 1 base))))
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(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 (/.f64 1 base))))
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(neg.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (neg.f64 (log.f64 (/.f64 1 base))))
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(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
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(*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 base) (log.f64 im))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))
(+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))
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(+.f64 (+.f64 (.f64 (log.f64 base) (log.f64 im)) (.f64 1/2 (/.f64 (.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))))
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(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (neg.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (.f64 -1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))

eval1.4s (8.2%)

Compiler: Compiled 92954 to 24952 computations (73.2% saved)

prune594.0ms (3.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1569	9	1578
Fresh	1	2	3
Picked	1	0	1
Done	1	3	4
Total	1572	14	1586

Error

0.4b

Counts

1586 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.6b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	32.1b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	29.6b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	30.9b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
▶	33.3b	(/.f64 (log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2))) (log.f64 base))
✓	32.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
▶	32.0b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	29.5b	(/.f64 (log.f64 im) (log.f64 base))
	32.6b	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))))
	50.0b	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))))
	32.6b	(.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))))
▶	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
	29.6b	(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base)))
✓	29.5b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))

Compiler

Compiled 694 to 357 computations (48.6% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))
✓	0.2b	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
	0.3b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 54 to 16 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
0.0ms	im	@	inf	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
0.0ms	im	@	0	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
0.0ms	base	@	inf	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`rational_best_oopsla_all_46_json-2`
1844×	`rational_best_oopsla_all_46_json-1`
1844×	`rational_best_oopsla_all_46_json-4`
1844×	`rational_best_oopsla_all_46_json-3`
1406×	`rational_best_oopsla_all_46_json_45_simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	62
1	63	62
2	176	62
3	727	62
4	3691	62

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 0 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 0 (/.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 im) (log.f64 base)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 0 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 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simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational_best_oopsla_all_46_json_45_simplify-37`
1394×	`rational_best_oopsla_all_46_json_45_simplify-13`
984×	`rational_best_oopsla_all_46_json_45_simplify-72`
778×	`rational_best_oopsla_all_46_json_45_simplify-49`
768×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	3308
1	435	3276
2	2373	3276

Stop Event

1×	node limit

Counts

108 → 77

Calls

Call 1

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 18 to 7 computations (61.1% saved)

series39.0ms (0.2%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	re	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
11.0ms	base	@	0	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
8.0ms	re	@	inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
7.0ms	re	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
1.0ms	base	@	-inf	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational_best_oopsla_all_46_json_45_simplify-23`
1434×	`rational_best_oopsla_all_46_json_45_simplify-37`
1416×	`rational_best_oopsla_all_46_json_45_simplify-13`
972×	`rational_best_oopsla_all_46_json-2`
972×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	51	19
2	121	19
3	392	19
4	1813	19

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1414×	`rational_best_oopsla_all_46_json_45_simplify-89`
1374×	`rational_best_oopsla_all_46_json_45_simplify-37`
1256×	`rational_best_oopsla_all_46_json_45_simplify-74`
966×	`rational_best_oopsla_all_46_json_45_simplify-7`
960×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1404
1	353	1372
2	2192	1372

Stop Event

1×	node limit

Counts

60 → 50

Calls

Call 1

Inputs
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(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
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(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
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(*.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) -1)
(*.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (neg.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(.f64 (.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
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(neg.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))

Outputs
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(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (+.f64 0 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) -1)
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (neg.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(.f64 (.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(*.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(neg.f64 (neg.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (pow.f64 im 2) re) -1/2)
✓	0.3b	(/.f64 (log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2))) (log.f64 base))
✓	6.5b	(/.f64 (pow.f64 im 2) re)
✓	7.7b	(log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2)))

Compiler

Compiled 62 to 38 computations (38.7% saved)

series26.0ms (0.2%)

Counts

4 → 84

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	base	@	0	(/.f64 (log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2))) (log.f64 base))
1.0ms	re	@	0	(log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2)))
1.0ms	im	@	inf	(log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2)))
1.0ms	im	@	0	(log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2)))
1.0ms	re	@	inf	(log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2)))

rewrite96.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1910×	`rational_best_oopsla_all_46_json-2`
1910×	`rational_best_oopsla_all_46_json-1`
1910×	`rational_best_oopsla_all_46_json-4`
1910×	`rational_best_oopsla_all_46_json-3`
800×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	108
1	92	100
2	222	100
3	776	100
4	3860	100

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (.f64 0 (/.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))) (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 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simplify159.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1498×	`rational_best_oopsla_all_46_json_45_simplify-23`
1058×	`rational_best_oopsla_all_46_json_45_simplify-89`
902×	`rational_best_oopsla_all_46_json_45_simplify-24`
818×	`rational_best_oopsla_all_46_json_45_simplify-74`
414×	`rational_best_oopsla_all_46_json_45_simplify-10`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	407	8722
1	1336	8630
2	6123	8630

Stop Event

1×	node limit

Counts

210 → 256

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (.f64 -1 (log.f64 re)))
(+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (neg.f64 (log.f64 re)))
(+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (*.f64 -1 (log.f64 re))))
(+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (*.f64 -1 (log.f64 re))))
(+.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (neg.f64 (log.f64 re))) (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 -1 (log.f64 re)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (.f64 -1 (log.f64 re)))) (.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))))
(+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (*.f64 -1/2 (pow.f64 im 2))) (neg.f64 (log.f64 re)))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -1 (log.f64 re))))))
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(+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (+.f64 (.f64 -2 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (neg.f64 (log.f64 re)) (+.f64 (.f64 2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 8/3 (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re))))
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(+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (.f64 -1 (log.f64 (/.f64 1 re)))))
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(+.f64 (log.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (neg.f64 (log.f64 (/.f64 1 re))) (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 im 6) (pow.f64 re 6))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 re)))))))
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(*.f64 -1 (log.f64 (/.f64 -1 re)))
(neg.f64 (log.f64 (/.f64 -1 re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (.f64 -1 (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (neg.f64 (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (*.f64 -1 (log.f64 (/.f64 -1 re)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (neg.f64 (log.f64 (/.f64 -1 re)))))
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(log.f64 (neg.f64 re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (log.f64 (neg.f64 re)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (pow.f64 re 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (log.f64 (neg.f64 re))))
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(/.f64 (+.f64 (log.f64 (.f64 -1/2 (pow.f64 im 2))) (.f64 -1 (log.f64 re))) (log.f64 base))
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(/.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) re)) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)) (neg.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)))) (*.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)) (neg.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re))))))
(/.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) re)) (/.f64 (neg.f64 (.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)) (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)))) (neg.f64 (*.f64 (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re)) (/.f64 (/.f64 (pow.f64 im 2) re) (/.f64 (pow.f64 im 2) re))))))
(/.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) (/.f64 (.f64 (/.f64 (pow.f64 im 2) re) (/.f64 -1/2 (/.f64 (pow.f64 im 2) re))) (*.f64 (/.f64 (pow.f64 im 2) re) (/.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(/.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) re)) (/.f64 (.f64 (/.f64 (pow.f64 im 2) re) (/.f64 -1/2 (/.f64 (pow.f64 im 2) re))) (*.f64 (/.f64 (pow.f64 im 2) re) (/.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(/.f64 (*.f64 (/.f64 (pow.f64 im 2) re) 1/2) -1)
(neg.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))
(neg.f64 (*.f64 (/.f64 (pow.f64 im 2) re) 1/2))
(neg.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	0.3b	(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	0.5b	(*.f64 (log.f64 base) (log.f64 base))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series32.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
30.0ms	re	@	inf	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.0ms	re	@	0	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.0ms	base	@	0	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))
0.0ms	base	@	inf	(*.f64 (log.f64 (neg.f64 re)) (log.f64 base))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational_best_oopsla_all_46_json-2`
1710×	`rational_best_oopsla_all_46_json-1`
1710×	`rational_best_oopsla_all_46_json-4`
1710×	`rational_best_oopsla_all_46_json-3`
930×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	58
1	71	58
2	222	58
3	879	58
4	3755	58

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify135.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1640×	`rational_best_oopsla_all_46_json_45_simplify-37`
1106×	`rational_best_oopsla_all_46_json_45_simplify-13`
722×	`rational_best_oopsla_all_46_json_45_simplify-72`
698×	`rational_best_oopsla_all_46_json_45_simplify-49`
580×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	3309
1	460	3245
2	2121	3237
3	7974	3237

Stop Event

1×	node limit

Counts

99 → 81

Calls

Call 1

Inputs
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(.f64 (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))) -1)
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(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
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(neg.f64 (*.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))

Outputs
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(/.f64 (+.f64 (log.f64 -1) (log.f64 re)) (log.f64 base))
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(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
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(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
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(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 1 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 -1 (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))) -1)
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))) (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (neg.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 base)))
(+.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 0 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 0 (*.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 0 (*.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 0 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 0 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 0 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 0 (.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 base)))) (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 0 (.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))) (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(+.f64 (.f64 0 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))))) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 0)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 0 (*.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(-.f64 (.f64 0 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (*.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 (neg.f64 re)))) (neg.f64 (.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base)))))
(.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 (neg.f64 re)))))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) 1)
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))) (*.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))) (*.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))) (*.f64 (log.f64 (neg.f64 re)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re))))))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (*.f64 (log.f64 base) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (/.f64 (.f64 (log.f64 base) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))))) (.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 (neg.f64 re)))))))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (/.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (.f64 (log.f64 base) (log.f64 (neg.f64 re)))) (/.f64 (.f64 (log.f64 base) (log.f64 (neg.f64 re))) (*.f64 (log.f64 base) (log.f64 (neg.f64 re))))))
(neg.f64 (*.f64 (log.f64 (neg.f64 re)) (neg.f64 (log.f64 base))))
(*.f64 (log.f64 base) (log.f64 (neg.f64 re)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.4b	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	0.5b	(pow.f64 (log.f64 base) 2)
	30.1b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 72 to 16 computations (77.8% saved)

series2.0ms (0%)

Counts

2 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	re	@	inf	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	im	@	inf	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	re	@	-inf	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	re	@	0	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	im	@	-inf	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational_best_oopsla_all_46_json_45_simplify-80`
838×	`rational_best_oopsla_all_46_json_45_simplify-35`
586×	`rational_best_oopsla_all_46_json_45_simplify-23`
536×	`rational_best_oopsla_all_46_json_45_simplify-89`
528×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	98	64
2	297	64
3	1177	64
4	4940	64

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))

Outputs

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

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

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1726×	`rational_best_oopsla_all_46_json_45_simplify-37`
1360×	`rational_best_oopsla_all_46_json_45_simplify-13`
934×	`rational_best_oopsla_all_46_json_45_simplify-49`
760×	`rational_best_oopsla_all_46_json_45_simplify-72`
632×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	210	4437
1	636	4309
2	2408	4309

Stop Event

1×	node limit

Counts

95 → 121

Calls

Call 1

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

Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2)
(/.f64 (log.f64 im) (log.f64 base))
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))))
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(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 base) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 base) (pow.f64 im 4)))))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)))
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(/.f64 (log.f64 re) (log.f64 base))
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(+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 base) (pow.f64 re 2)))) (+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 base) (pow.f64 re 6)))))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))))
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(neg.f64 (.f64 -1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (pow.f64 (log.f64 base) 2))))
(/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) 2))

eval347.0ms (2.1%)

Compiler: Compiled 34072 to 13836 computations (59.4% saved)

prune224.0ms (1.4%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	982	8	990
Fresh	2	4	6
Picked	0	1	1
Done	2	5	7
Total	986	18	1004

Error

0.3b

Counts

1004 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(/.f64 (.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (/.f64 1 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))) (log.f64 (-.f64 (*.f64 (/.f64 (pow.f64 im 2) re) -1/2) re))) (log.f64 base))
✓	32.6b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	32.7b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))
	32.1b	(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (pow.f64 (log.f64 base) 2))
▶	29.6b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	33.3b	(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
▶	30.9b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
✓	32.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
✓	32.0b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	29.5b	(/.f64 (log.f64 im) (log.f64 base))
	32.6b	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))))
▶	32.0b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
	29.7b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))))
✓	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
▶	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))
	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
▶	29.6b	(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base)))
✓	29.5b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))

Compiler

Compiled 837 to 427 computations (49% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
✓	0.2b	(*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
	0.2b	(/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))
	0.3b	(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 141 to 53 computations (62.4% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
0.0ms	im	@	-inf	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
0.0ms	im	@	inf	(*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
0.0ms	base	@	-inf	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))
0.0ms	base	@	inf	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational_best_oopsla_all_46_json_45_simplify-23`
1290×	`rational_best_oopsla_all_46_json_45_simplify-13`
924×	`rational_best_oopsla_all_46_json_45_simplify-37`
870×	`rational_best_oopsla_all_46_json_45_simplify-74`
816×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	152
1	91	94
2	333	94
3	1961	94

Stop Event

1×	node limit

Counts

2 → 141

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))

(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 -1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 -1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (*.f64 (neg.f64 (neg.f64 (/.f64 1 (/.f64 (log.f64 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(log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (*.f64 (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))) (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (/.f64 1 (/.f64 1 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simplify331.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1694×	`rational_best_oopsla_all_46_json_45_simplify-13`
1010×	`rational_best_oopsla_all_46_json_45_simplify-89`
988×	`rational_best_oopsla_all_46_json_45_simplify-23`
902×	`rational_best_oopsla_all_46_json_45_simplify-7`
848×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	9923
1	1091	9359
2	4551	9275

Stop Event

1×	node limit

Counts

189 → 177

Calls

Call 1

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

localize65.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 re 2)
✓	0.3b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
✓	7.9b	(/.f64 (pow.f64 re 2) im)
✓	8.2b	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))

Compiler

Compiled 57 to 37 computations (35.1% saved)

series23.0ms (0.1%)

Counts

3 → 56

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	base	@	0	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
1.0ms	re	@	inf	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
1.0ms	im	@	0	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
1.0ms	base	@	inf	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
1.0ms	re	@	0	(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1424×	`rational_best_oopsla_all_46_json-2`
1424×	`rational_best_oopsla_all_46_json-1`
1424×	`rational_best_oopsla_all_46_json-4`
1424×	`rational_best_oopsla_all_46_json-3`
1046×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	80	81
2	174	81
3	570	81
4	2741	81

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(/.f64 (pow.f64 re 2) im)
(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))

Outputs

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

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1540×	`rational_best_oopsla_all_46_json_45_simplify-23`
1134×	`rational_best_oopsla_all_46_json_45_simplify-89`
982×	`rational_best_oopsla_all_46_json_45_simplify-24`
880×	`rational_best_oopsla_all_46_json_45_simplify-74`
432×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	409	7610
1	1416	7522
2	6527	7522

Stop Event

1×	node limit

Counts

178 → 255

Calls

Call 1

Inputs
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(neg.f64 (neg.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))

Outputs
(log.f64 im)
(+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (log.f64 im) (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (log.f64 im) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))
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(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (+.f64 (log.f64 im) (*.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))))))
(+.f64 (log.f64 im) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (pow.f64 im 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (log.f64 (/.f64 1/2 im)) (*.f64 -2 (log.f64 (/.f64 1 re))))
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(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 re))) (log.f64 (/.f64 1/2 im)))
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(*.f64 -1 (log.f64 (/.f64 1 im)))
(neg.f64 (log.f64 (/.f64 1 im)))
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(/.f64 (log.f64 im) (log.f64 base))
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(+.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 0 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
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(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
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(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(-.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) 0)
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(-.f64 0 (neg.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) 1)
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
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(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 1 (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
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(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 1 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 1 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) -1)
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 -1 (neg.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 -1 (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (neg.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))) (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)) (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base)))) (neg.f64 (/.f64 (log.f64 (+.f64 im (.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))
(neg.f64 (neg.f64 (/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))))
(/.f64 (log.f64 (+.f64 im (*.f64 1/2 (/.f64 (pow.f64 re 2) im)))) (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	0.3b	(*.f64 (log.f64 im) (log.f64 base))
	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 29 to 12 computations (58.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	im	@	-inf	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	-inf	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	im	@	inf	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
0.0ms	base	@	inf	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational_best_oopsla_all_46_json-2`
1752×	`rational_best_oopsla_all_46_json-1`
1752×	`rational_best_oopsla_all_46_json-4`
1752×	`rational_best_oopsla_all_46_json-3`
818×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	62	31
2	171	31
3	691	31
4	3436	31

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))

Outputs

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

simplify131.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational_best_oopsla_all_46_json_45_simplify-89`
1002×	`rational_best_oopsla_all_46_json_45_simplify-74`
846×	`rational_best_oopsla_all_46_json_45_simplify-37`
732×	`rational_best_oopsla_all_46_json_45_simplify-13`
724×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	1531
1	262	1499
2	1407	1499
3	6405	1499

Stop Event

1×	node limit

Counts

53 → 39

Calls

Call 1

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

Outputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(+.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) 0)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(+.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 0 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(+.f64 0 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(+.f64 (.f64 0 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(-.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) 0)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(-.f64 0 (neg.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) 1)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 1 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 -1 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 -1 (.f64 1 (neg.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 -1 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (neg.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 1 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) -1)
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))) (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)))) (neg.f64 (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(neg.f64 (neg.f64 (/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (/.f64 1 im))
✓	0.2b	(*.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im))))
✓	0.2b	(/.f64 1 (log.f64 (/.f64 1 im)))
✓	0.3b	(/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base))

Compiler

Compiled 87 to 66 computations (24.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(/.f64 1 (log.f64 (/.f64 1 im)))
0.0ms	im	@	0	(/.f64 1 (log.f64 (/.f64 1 im)))
0.0ms	im	@	inf	(/.f64 1 (log.f64 (/.f64 1 im)))
0.0ms	im	@	0	(/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base))
0.0ms	im	@	-inf	(/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base))

rewrite120.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`rational_best_oopsla_all_46_json_45_simplify-76`
982×	`rational_best_oopsla_all_46_json_45_simplify-35`
862×	`rational_best_oopsla_all_46_json_45_simplify-23`
680×	`rational_best_oopsla_all_46_json_45_simplify-13`
632×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	109
1	78	71
2	256	71
3	1295	71
4	5868	71

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base))

(/.f64 1 (log.f64 (/.f64 1 im)))

(*.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im))))

Outputs

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simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1254×	`rational_best_oopsla_all_46_json_45_simplify-72`
1250×	`rational_best_oopsla_all_46_json_45_simplify-49`
896×	`rational_best_oopsla_all_46_json_45_simplify-102`
868×	`rational_best_oopsla_all_46_json_45_simplify-7`
572×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	237	4556
1	756	4532
2	3336	4532

Stop Event

1×	node limit

Counts

156 → 131

Calls

Call 1

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

localize147.0ms (0.9%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))

✓

0.2b

(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))

0.3b

(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))

Compiler

Compiled 64 to 17 computations (73.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
1.0ms	re	@	-inf	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
1.0ms	re	@	0	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
0.0ms	base	@	-inf	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
0.0ms	base	@	0	(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`rational_best_oopsla_all_46_json-2`
1984×	`rational_best_oopsla_all_46_json-1`
1984×	`rational_best_oopsla_all_46_json-4`
1984×	`rational_best_oopsla_all_46_json-3`
940×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	74
1	72	74
2	199	74
3	794	74
4	4004	74

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 0 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 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simplify138.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1764×	`rational_best_oopsla_all_46_json_45_simplify-13`
1758×	`rational_best_oopsla_all_46_json_45_simplify-37`
994×	`rational_best_oopsla_all_46_json_45_simplify-72`
858×	`rational_best_oopsla_all_46_json_45_simplify-49`
804×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	167	5021
1	502	4885
2	2472	4885

Stop Event

1×	node limit

Counts

125 → 96

Calls

Call 1

Inputs
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(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 re)))
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1
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1
1
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1
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1
1
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1
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Outputs
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(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 re)))
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(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 re)))))
(/.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 re)))))
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1
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(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(-.f64 (.f64 0 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(-.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(-.f64 (.f64 (/.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) -1) (.f64 -1 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))) (.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) 1)
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (*.f64 (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))))
(/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (/.f64 (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (/.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))))
(/.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))) -1)
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))
(neg.f64 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (neg.f64 (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))))
(neg.f64 (-.f64 (.f64 0 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))
(fabs.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(fabs.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 -1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(fabs.f64 (*.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))

eval1.3s (8%)

Compiler: Compiled 67503 to 28437 computations (57.9% saved)

prune822.0ms (5%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	1562	8	1570
Fresh	0	7	7
Picked	1	0	1
Done	2	8	10
Total	1565	23	1588

Error

0.3b

Counts

1588 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	33.3b	(/.f64 (.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (/.f64 1 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))) (log.f64 (-.f64 (*.f64 (/.f64 (pow.f64 im 2) re) -1/2) re))) (log.f64 base))
✓	32.6b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	32.7b	(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))
	32.1b	(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (pow.f64 (log.f64 base) 2))
✓	29.6b	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
	29.6b	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))
	33.3b	(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
✓	30.9b	(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
✓	32.6b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
✓	32.0b	(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
✓	29.5b	(/.f64 (log.f64 im) (log.f64 base))
	32.6b	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))))
	32.1b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))))
	32.0b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))
	32.0b	(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))
	29.7b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))))
✓	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))))
	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))) (.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 -1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))
	29.6b	(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
	29.6b	(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))))) (log.f64 (/.f64 1 im))) (log.f64 base)))
	29.6b	(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 im))) (log.f64 (/.f64 1 im))) (log.f64 base)))
✓	29.5b	(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))

Compiler

Compiled 654 to 339 computations (48.2% saved)

regimes1.2s (7.1%)

Counts

35 → 3

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))
(neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))
(/.f64 (log.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)) (log.f64 base))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 (+.f64 (neg.f64 re) (*.f64 (/.f64 (pow.f64 im 2) re) -1/2))) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 -1 (log.f64 im))) (log.f64 (/.f64 1 im))) (log.f64 base)))
(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))) (log.f64 base)))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 im))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (neg.f64 re)))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(neg.f64 (/.f64 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (.f64 (.f64 (log.f64 (/.f64 1 im)) (/.f64 1 (log.f64 (/.f64 1 im)))) (log.f64 (/.f64 1 im))))) (log.f64 (/.f64 1 im))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)) (/.f64 1 (log.f64 (-.f64 (.f64 (/.f64 (pow.f64 im 2) re) -1/2) re)))) (log.f64 (-.f64 (*.f64 (/.f64 (pow.f64 im 2) re) -1/2) re))) (log.f64 base))
(/.f64 (.f64 (log.f64 im) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))
(/.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) 2) (*.f64 (pow.f64 (log.f64 base) 2) (/.f64 1 (pow.f64 (log.f64 base) 2)))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))) (/.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))
(.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (.f64 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))) (/.f64 1 (/.f64 1 (/.f64 (log.f64 (neg.f64 re)) (log.f64 base))))))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))))))
(.f64 (/.f64 (log.f64 im) (log.f64 base)) (.f64 (.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))) (.f64 (neg.f64 (/.f64 (log.f64 im) (log.f64 base))) (*.f64 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 -1 (/.f64 1 (/.f64 (log.f64 im) (log.f64 base))))))))
(.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))))))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base))) (/.f64 1 (/.f64 (.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))) (.f64 (log.f64 base) (log.f64 base)))))))))

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

Calls

5 calls:

600.0ms	base
247.0ms	re
187.0ms	(log.f64 base)
89.0ms	im
25.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
8.8b	3	`re`
6.4b	3	`im`
17.8b	13	`base`
14.8b	3	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
17.8b	13	`(log.f64 base)`

Compiler

Compiled 952 to 344 computations (63.9% saved)

bsearch105.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
83.0ms	3.450206378948845e+118	5.432092544543199e+128
19.0ms	6.08616843607319e-145	2.591536599614744e-144

Results

45.0ms

256×

body

256

valid

Compiler

Compiled 443 to 351 computations (20.8% saved)

regimes458.0ms (2.8%)

Counts

13 → 8

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

168.0ms	(log.f64 base)
130.0ms	base
127.0ms	re
27.0ms	im

Results

Error	Segments	Branch
7.5b	8	`re`
7.9b	4	`im`
17.8b	13	`base`
17.8b	13	`(log.f64 base)`

Compiler

Compiled 169 to 94 computations (44.4% saved)

bsearch237.0ms (1.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
28.0ms	-8.571921676822153e-212	-1.0408070157126052e-216
38.0ms	-7.190900909686945e-173	-1.5821743976251513e-173
17.0ms	-2.1931585223241893e-161	-1.0161764546121712e-161
24.0ms	-1.8685410939937308e-112	-3.3839388568267954e-116
28.0ms	-3.992031244439875e-88	-9.564569209790147e-98
75.0ms	-1.6376914753279496e-32	-2.906969261926568e-34
26.0ms	-3.7361459824036826e-15	-7.152822080289768e-18

Results

226.0ms

832×

body

256

valid

Compiler

Compiled 1185 to 913 computations (23% saved)

regimes337.0ms (2.1%)

Counts

7 → 8

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (neg.f64 re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))
(/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base))
(/.f64 (log.f64 im) (log.f64 base))

Calls

4 calls:

142.0ms	(log.f64 base)
97.0ms	base
77.0ms	re
18.0ms	im

Results

Error	Segments	Branch
7.5b	8	`re`
7.9b	4	`im`
17.8b	13	`base`
17.8b	13	`(log.f64 base)`

Compiler

Compiled 87 to 56 computations (35.6% saved)

bsearch223.0ms (1.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
30.0ms	-8.571921676822153e-212	-1.0408070157126052e-216
19.0ms	-7.190900909686945e-173	-1.5821743976251513e-173
17.0ms	-2.1931585223241893e-161	-1.0161764546121712e-161
26.0ms	-1.8685410939937308e-112	-3.3839388568267954e-116
32.0ms	-3.992031244439875e-88	-9.564569209790147e-98
73.0ms	-1.6376914753279496e-32	-2.906969261926568e-34
26.0ms	-3.7361459824036826e-15	-7.152822080289768e-18

Results

212.0ms

832×

body

256

valid

Compiler

Compiled 1130 to 880 computations (22.1% saved)

regimes155.0ms (0.9%)

Accuracy

Total -54.1b remaining (-723.1%)

Threshold costs -54.1b (-723.1%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

4 calls:

53.0ms	base
53.0ms	(log.f64 base)
32.0ms	re
16.0ms	im

Results

Error	Segments	Branch
7.5b	8	`re`
7.9b	4	`im`
17.8b	13	`base`
17.8b	13	`(log.f64 base)`

Compiler

Compiled 60 to 40 computations (33.3% saved)

bsearch433.0ms (2.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
152.0ms	-8.571921676822153e-212	-1.0408070157126052e-216
18.0ms	-7.190900909686945e-173	-1.5821743976251513e-173
166.0ms	-2.1931585223241893e-161	-1.0161764546121712e-161
25.0ms	-1.8685410939937308e-112	-3.3839388568267954e-116
27.0ms	-3.992031244439875e-88	-9.564569209790147e-98
21.0ms	-1.6376914753279496e-32	-2.906969261926568e-34
24.0ms	-3.7361459824036826e-15	-7.152822080289768e-18

Results

298.0ms

832×

body

256

valid

Compiler

Compiled 1025 to 805 computations (21.5% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	757

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 im 268001700651499/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 4100000000000000067724635881684132836750046052616762072010034311454885533067306854226414342764903334573112981058980167469236224) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -7788445287802241/162259276829213363391578010288128) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -1205738850797995/730750818665451459101842416358141509827966271488) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -6988003595594749/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -3282840917839045/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4455508415646675/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(if (<=.f64 re -8437482395119095/649037107316853453566312041152512) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4676805239458889/1461501637330902918203684832716283019655932542976) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -1361764803244105/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -7807837858644215/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4455508415646675/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(if (<=.f64 re -8437482395119095/324518553658426726783156020576256) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4019129502659983/730750818665451459101842416358141509827966271488) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5733746539975179/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -3549017208474643/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -295873605726537/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(/.f64 (log.f64 im) (log.f64 base))

Outputs
(if (<=.f64 im 268001700651499/439347050248359021758841651141209165905243859209171546201245661387874763737449987335843817002333091518546963929054774914375807231981865204004737810631363657728) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 im 4100000000000000067724635881684132836750046052616762072010034311454885533067306854226414342764903334573112981058980167469236224) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))))
(if (<=.f64 re -7788445287802241/162259276829213363391578010288128) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -1205738850797995/730750818665451459101842416358141509827966271488) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -6988003595594749/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -3282840917839045/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4455508415646675/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) 2)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (-.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(if (<=.f64 re -8437482395119095/649037107316853453566312041152512) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4676805239458889/1461501637330902918203684832716283019655932542976) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -1361764803244105/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -7807837858644215/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4455508415646675/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)) re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(if (<=.f64 re -8437482395119095/324518553658426726783156020576256) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -4019129502659983/730750818665451459101842416358141509827966271488) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5733746539975179/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -3549017208474643/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -5445226118831869/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (if (<=.f64 re -295873605726537/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (/.f64 (log.f64 im) (log.f64 base)) (if (<=.f64 re -2013611417321171/23689546086131422960647270026588478931532074235789438036179382904450240366918592625898413220651954314430049601701829119967217713075482397330387684250506304003974227539380644310764545984368872754291732775783027172102246808682496) (/.f64 (log.f64 (neg.f64 re)) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))))))))
(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 286 to 139 computations (51.4% saved)

soundness487.0ms (3%)

Algorithm

4×	egg-herbie

Rules

1666×	`rational_best_oopsla_all_46_json_45_simplify-72`
1376×	`rational_best_oopsla_all_46_json_45_simplify-89`
1376×	`rational_best_oopsla_all_46_json_45_simplify-89`
1376×	`rational_best_oopsla_all_46_json_45_simplify-89`
1304×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	53	57
2	132	57
3	412	57
4	1656	57
5	6278	57
0	415	6689
1	1397	6625
2	5219	6489
0	21	63
1	53	57
2	132	57
3	412	57
4	1656	57
5	6278	57
0	21	63
1	53	57
2	132	57
3	412	57
4	1656	57
5	6278	57

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 368 to 123 computations (66.6% saved)

end158.0ms (1%)

Compiler: Compiled 342 to 152 computations (55.6% saved)