Details

analyze152.0ms (1.5%)

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
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.6%	0.1%	0%	0%	0%	6
54.7%	54.6%	45.3%	0.1%	0%	0%	0%	7
64.8%	64.8%	35.1%	0.1%	0%	0%	0%	8
76.2%	76.1%	23.8%	0.1%	0%	0%	0%	9
81.8%	81.8%	18.1%	0.1%	0%	0%	0%	10
87.8%	87.7%	12.2%	0.1%	0%	0%	0%	11
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample2.2s (21.2%)

Results

2.2s

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`swap-re-im`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	19	22
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 16 to 12 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	14	11
2	16	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize26.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series9.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
2.0ms	im	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
1.0ms	im	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
1.0ms	re	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	160	11
2	1913	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
579×	`associate-/l/_binary64`
404×	`associate-/r/_binary64`
376×	`fma-def_binary64`
366×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	948
1	273	932
2	814	884
3	3540	862
4	7328	862

Stop Event

1×	node limit

Counts

55 → 70

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
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Outputs
(/.f64 (log.f64 im) (log.f64 10))
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(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 re (/.f64 (.f64 (log.f64 10) (.f64 im im)) re)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/6 (pow.f64 im 6)) (/.f64 (pow.f64 re 6) (log.f64 10))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (.f64 (/.f64 re (.f64 im (.f64 im (log.f64 10)))) re) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10))))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 re im) im) re) (log.f64 10)) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (*.f64 im im)))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))
(/.f64 (-.f64 (log.f64 im) (log.f64 -1)) (log.f64 10))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (log.f64 10) (.f64 im im))))
(-.f64 (.f64 1/2 (/.f64 re (/.f64 (.f64 (log.f64 10) (*.f64 im im)) re))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 1/2 (.f64 (/.f64 re (.f64 im (.f64 im (log.f64 10)))) re)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 1/2 (/.f64 (.f64 (/.f64 (/.f64 re im) im) re) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (/.f64 (.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 10) (pow.f64 im 4)))))
(-.f64 (fma.f64 1/2 (/.f64 re (/.f64 (.f64 (log.f64 10) (.f64 im im)) re)) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (.f64 im (.f64 im (log.f64 10)))) re) (.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 (/.f64 (.f64 (/.f64 (/.f64 re im) im) re) (log.f64 10)) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(-.f64 (fma.f64 1/2 (/.f64 re (/.f64 (.f64 (log.f64 10) (.f64 im im)) re)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 10)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (.f64 im (.f64 im (log.f64 10)))) re) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10)) (.f64 (/.f64 (.f64 (/.f64 (/.f64 re im) im) re) (log.f64 10)) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))

eval30.0ms (0.3%)

Compiler: Compiled 1463 to 1034 computations (29.3% saved)

prune47.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	54	16	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	17	71

Error

0.0b

Counts

71 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
▶	29.8b	(/.f64 (log.f64 im) (log.f64 10))
	0.7b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
	31.8b	(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
▶	15.9b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
	1.3b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))
	0.6b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	1.3b	(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
▶	0.5b	(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)
	1.0b	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))
	15.6b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)
▶	0.6b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
▶	0.5b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
	15.9b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
	29.8b	(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)

Compiler

Compiled 413 to 333 computations (19.4% saved)

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
✓	0.4b	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series35.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
2.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms	re	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
416×	`exp-prod_binary64`
315×	`pow-prod-down_binary64`
279×	`pow2_binary64`
200×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	241	24
2	2932	24

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) -1/2) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (log.f64 10))) (.f64 (pow.f64 (log.f64 10) -1/6) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) -1/4) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) -1/4) (.f64 (pow.f64 (log.f64 10) -1/4) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (/.f64 1 (log.f64 10)))) (pow.f64 (log.f64 10) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -1/4)) (pow.f64 (log.f64 10) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (log.f64 10) -1/6) (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))))) 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Outputs

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1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) 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egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1) 1))))))

simplify192.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

629×	`cancel-sign-sub-inv_binary64`
548×	`times-frac_binary64`
379×	`associate-/r*_binary64`
375×	`associate-/l*_binary64`
356×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	2183
1	487	2156
2	1534	1878
3	5877	1748

Stop Event

1×	node limit

Counts

165 → 195

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (.f64 1/720 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
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(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re))
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(/.f64 (log.f64 im) (log.f64 10))
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Outputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
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(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 (/.f64 re im) (*.f64 (/.f64 re im) 1/2)) (log.f64 im)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (/.f64 (.f64 1/720 (.f64 (pow.f64 re 6) 120)) (*.f64 (log.f64 10) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (.f64 re re) im) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (/.f64 (.f64 (.f64 1/720 (pow.f64 re 6)) 120) (.f64 (log.f64 10) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 10)) (.f64 im im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 re re) (log.f64 10)) (.f64 im im)) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (.f64 im im)))) (-.f64 (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

series61.0ms (0.6%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
41.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 10))
12.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 10))
8.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 10))

rewrite202.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`pow1_binary64`
538×	`add-log-exp_binary64`
538×	`log1p-expm1-u_binary64`
538×	`expm1-log1p-u_binary64`
527×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	120	8
2	1452	8

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))))))

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

958×	`div-sub_binary64`
595×	`fma-def_binary64`
559×	`fma-neg_binary64`
418×	`distribute-rgt-in_binary64`
397×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	96
1	31	96
2	47	64
3	99	64
4	219	64
5	663	64
6	2141	64
7	4867	64
8	6241	64
9	7114	64

Stop Event

1×	node limit

Counts

38 → 33

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))

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

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)
✓	0.0b	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
0.0ms	re	@	inf	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
0.0ms	im	@	inf	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
0.0ms	re	@	-inf	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
0.0ms	re	@	0	(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`prod-diff_binary64`
460×	`log-prod_binary64`
391×	`fma-def_binary64`
269×	`pow2_binary64`
255×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	236	25
2	3144	25

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) (/.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2) (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3)) (/.f64 1 (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2)) (/.f64 1 (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1) 1) (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) (-.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3)) (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3)) (+.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2) (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2)) (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))) (neg.f64 (fma.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2))) (neg.f64 (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2) 1) (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3)) 1) (fma.f64 (/.f64 (log.f64 (hypot.f64 re 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simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-neg_binary64`
573×	`associate-/l/_binary64`
488×	`associate-+l+_binary64`
476×	`fma-def_binary64`
402×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1968
1	340	1928
2	1046	1832
3	4629	1788

Stop Event

1×	node limit

Counts

210 → 240

Calls

Call 1

Inputs
(+.f64 1 (/.f64 (log.f64 im) (log.f64 10)))
(+.f64 1 (+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 1 (+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))))
(+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6))))))))
(+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6))))))))
(+.f64 1 (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10)))))
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10))))))
(+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6))))))))
(+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6))))))))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
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Outputs
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (/.f64 (.f64 1/720 (.f64 (pow.f64 im 6) 120)) (*.f64 (log.f64 10) (pow.f64 re 6))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 10)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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(/.f64 (log.f64 re) (log.f64 10))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 10))
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(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re)))))
(-.f64 (/.f64 (.f64 (.f64 1/2 im) im) (.f64 re (.f64 re (log.f64 10)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 re (*.f64 (log.f64 10) re))) (/.f64 (log.f64 re) (log.f64 10)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 10)) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (log.f64 10) (pow.f64 re 4)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (.f64 re re))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 re (*.f64 (log.f64 10) re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (pow.f64 re 4)) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 10)) (+.f64 1/2 (/.f64 (.f64 (.f64 im im) -1/4) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (/.f64 (.f64 1/720 (.f64 (pow.f64 im 6) 120)) (*.f64 (log.f64 10) (pow.f64 re 6))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 10)))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 re (.f64 (log.f64 10) re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (pow.f64 re 4)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 10)))))
(+.f64 (.f64 (/.f64 (.f64 (/.f64 im re) (/.f64 im re)) (log.f64 10)) (+.f64 1/2 (/.f64 (.f64 (.f64 im im) -1/4) (.f64 re re)))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 10))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (log.f64 10) (.f64 im im))))
(fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (/.f64 (log.f64 im) (log.f64 10)))
(fma.f64 1/2 (/.f64 (.f64 re (/.f64 re (.f64 im im))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (/.f64 (.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 10) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(fma.f64 1/2 (/.f64 (.f64 re (/.f64 re (.f64 im im))) (log.f64 10)) (fma.f64 (/.f64 -1/4 (log.f64 10)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (/.f64 (log.f64 im) (log.f64 10))))
(+.f64 (.f64 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (.f64 im im)))) (/.f64 (log.f64 im) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6))) (/.f64 (.f64 -1/4 (pow.f64 re 4)) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 re (/.f64 re (.f64 im im))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/6 (log.f64 10)) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))
(+.f64 (.f64 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (.f64 im im)))) (fma.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (/.f64 1/6 (pow.f64 im 6)) (/.f64 (log.f64 im) (log.f64 10))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (/.f64 (.f64 1/2 (.f64 re re)) (.f64 (log.f64 10) (.f64 im im))))
(-.f64 (.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 1/2 (/.f64 (.f64 re (/.f64 re (*.f64 im im))) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 (.f64 (/.f64 re (log.f64 10)) re) (/.f64 1/2 (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (/.f64 (.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 10) (pow.f64 im 4)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re (/.f64 re (.f64 im im))) (log.f64 10)) (*.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (/.f64 -1/4 (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (/.f64 120 (pow.f64 im 6)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re (/.f64 re (.f64 im im))) (log.f64 10)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/6 (log.f64 10)) (/.f64 (pow.f64 re 6) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6))) (.f64 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (+.f64 1/2 (/.f64 (.f64 (.f64 re re) -1/4) (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
✓	0.8b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))

Compiler

Compiled 38 to 19 computations (50% saved)

series29.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
5.0ms	re	@	inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
4.0ms	im	@	inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
4.0ms	re	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
3.0ms	re	@	-inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`expm1-log1p-u_binary64`
776×	`log1p-expm1-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	179	24
2	2118	24

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))))

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

772×	`associate-*l/_binary64`
729×	`distribute-lft-in_binary64`
729×	`distribute-rgt-in_binary64`
314×	`associate-/r*_binary64`
309×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	3511
1	984	3331
2	3989	3170

Stop Event

1×	node limit

Counts

107 → 144

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (*.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (pow.f64 im 2))))) (log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (pow.f64 im 2))))) (+.f64 (log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10)))) (.f64 -1/24 (.f64 (+.f64 (.f64 6 (/.f64 1 (.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (.f64 (log.f64 10) (pow.f64 im 4))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 2) (*.f64 (pow.f64 (log.f64 10) 2) (pow.f64 im 4)))))) (pow.f64 re 4)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (pow.f64 im 2))))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 120 (/.f64 1 (.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (.f64 (log.f64 10) (pow.f64 im 6))))) (+.f64 (.f64 30 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 3) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 6))))) (.f64 90 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 2) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 im 6))))))) (pow.f64 re 6))) (+.f64 (log.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10)))) (.f64 -1/24 (.f64 (+.f64 (.f64 6 (/.f64 1 (.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) (.f64 (log.f64 10) (pow.f64 im 4))))) (.f64 3 (/.f64 1 (.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 2) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 im 4)))))) (pow.f64 re 4))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))))
(+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) (pow.f64 re 2))))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) 2)))) (.f64 -6 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))))))) (pow.f64 re 4))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) (pow.f64 re 2)))))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) 3)))) (+.f64 (.f64 30 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))))) (+.f64 (.f64 90 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))))) (.f64 90 (/.f64 (pow.f64 im 6) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) 2))))))) (pow.f64 re 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -3 (/.f64 (pow.f64 im 4) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) 2)))) (.f64 -6 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))))))) (pow.f64 re 4))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))))) (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))) (pow.f64 re 2))))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))))
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Outputs
(/.f64 (log.f64 im) (log.f64 10))
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(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (.f64 (log.f64 10) (.f64 im im)) (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (+.f64 (fma.f64 1/24 (/.f64 (fma.f64 -6 (/.f64 (/.f64 (pow.f64 re 4) (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))) (log.f64 10)) (.f64 -3 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) 2)) (pow.f64 (log.f64 10) 2)))) (pow.f64 im 4)) (log1p.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))) (.f64 1/720 (/.f64 (fma.f64 90 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) 2))) (fma.f64 90 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (.f64 30 (+.f64 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) 3))) (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (+.f64 1 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))))))) (pow.f64 im 6)))))
(fma.f64 1/2 (.f64 (/.f64 re (.f64 (log.f64 10) (.f64 im im))) (/.f64 re (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (pow.f64 re 4) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 2))) (.f64 -6 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (pow.f64 im 4)) (fma.f64 1/720 (/.f64 (fma.f64 90 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 2))) (fma.f64 90 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 30 (+.f64 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 3))))))) (pow.f64 im 6)) (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))))))
(fma.f64 1/2 (.f64 (/.f64 re (.f64 im (.f64 im (log.f64 10)))) (/.f64 re (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))) (fma.f64 1/24 (/.f64 (fma.f64 -3 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 2)) (pow.f64 (log.f64 10) 2)) (/.f64 (.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) -6) (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))) (pow.f64 im 4)) (fma.f64 1/720 (/.f64 (fma.f64 90 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 (log.f64 10) 2) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 2))) (+.f64 (.f64 30 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 10) 3)) (pow.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) 3))) (*.f64 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (-.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) 120))) (pow.f64 im 6)) (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))))))

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3))
✓	0.5b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
✓	0.7b	(pow.f64 (log.f64 (hypot.f64 re im)) 3)
✓	1.6b	(pow.f64 (log.f64 10) 3)

Compiler

Compiled 48 to 29 computations (39.6% saved)

series34.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	re	@	-inf	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3))
4.0ms	re	@	inf	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3))
3.0ms	im	@	0	(pow.f64 (log.f64 (hypot.f64 re im)) 3)
3.0ms	im	@	inf	(pow.f64 (log.f64 (hypot.f64 re im)) 3)
2.0ms	im	@	inf	(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3))

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

529×	`log-prod_binary64`
404×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
277×	`pow2_binary64`
205×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	255	40
2	2847	40

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(pow.f64 (log.f64 10) 3)
(pow.f64 (log.f64 (hypot.f64 re im)) 3)
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 10) (pow.f64 (log.f64 10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) 2) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (.f64 (cbrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) 3/2) (pow.f64 (log.f64 10) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 10) 5/2) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 10) 2) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 10) (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 10) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 10) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 10))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log.f64 10))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 (hypot.f64 re im)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3/2) (pow.f64 (log.f64 (hypot.f64 re im)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (hypot.f64 re im)) 5/2) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 (hypot.f64 re im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3/2 (log.f64 (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (log.f64 (hypot.f64 re im)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (log.f64 (hypot.f64 re im))) 3/2) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (log.f64 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 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(log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 9) (pow.f64 (log.f64 10) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1) 3))))))

simplify158.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

755×	`times-frac_binary64`
718×	`fma-def_binary64`
612×	`associate-/r*_binary64`
493×	`associate-/l*_binary64`
412×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	6771
1	2076	6332

Stop Event

1×	node limit

Counts

243 → 309

Calls

Call 1

Inputs
(pow.f64 (log.f64 im) 3)
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
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(+.f64 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 2))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 6)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 6)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 6)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 re 6)) (.f64 -1/360 (.f64 (log.f64 (/.f64 -1 im)) (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6)))))) (log.f64 (/.f64 -1 im))) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 6)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 6)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 3) (pow.f64 (log.f64 10) 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 4)))) (+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 re 4)) (.f64 1/2 (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 re 4)))) (log.f64 (/.f64 -1 im))) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 4)))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 10) 3) (pow.f64 im 2)))))))))))))

Outputs
(pow.f64 (log.f64 im) 3)
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3))
(fma.f64 (.f64 re re) (.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))) (+.f64 (.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4))) (.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 im 4))) (.f64 -1/2 (/.f64 (log.f64 im) (pow.f64 im 4)))) (log.f64 im)))) (pow.f64 re 4)) (+.f64 (.f64 (pow.f64 re 2) (+.f64 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)) (.f64 1/2 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (log.f64 im) (pow.f64 im 4)) (.f64 (log.f64 im) (+.f64 (/.f64 1/4 (pow.f64 im 4)) (.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2))))) (pow.f64 re 4) (fma.f64 (.f64 re re) (.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)))
(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 1/2 (/.f64 (pow.f64 im 4) (log.f64 im))))) (pow.f64 re 4) (fma.f64 (.f64 re re) (.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (pow.f64 (log.f64 im) 3)))
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(fma.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)) (fma.f64 (log.f64 im) (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (/.f64 1/2 (/.f64 (pow.f64 im 4) (log.f64 im))))) (pow.f64 re 4) (fma.f64 (.f64 re re) (.f64 3/2 (/.f64 (pow.f64 (log.f64 im) 2) (.f64 im im))) (fma.f64 (fma.f64 (log.f64 im) (fma.f64 1/3 (/.f64 (log.f64 im) (pow.f64 im 6)) (/.f64 -1/4 (pow.f64 im 6))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (log.f64 im) (pow.f64 im 4)) -1/2 (/.f64 1/4 (pow.f64 im 4))) (.f64 im im)) (*.f64 -1/4 (/.f64 (log.f64 im) (pow.f64 im 6)))))) (pow.f64 re 6) (pow.f64 (log.f64 im) 3))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 re)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 re)) 3))
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(fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (.f64 3/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (.f64 re re) (*.f64 im im)))))
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(fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (fma.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (.f64 re re) (.f64 im im))))))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 4)) (pow.f64 im 4)) (-.f64 (+.f64 (/.f64 (.f64 -1/4 (.f64 (pow.f64 im 4) (pow.f64 (log.f64 re) 2))) (pow.f64 re 4)) (.f64 3/2 (.f64 (/.f64 (.f64 im im) re) (/.f64 (pow.f64 (log.f64 re) 2) re)))) (pow.f64 (neg.f64 (log.f64 re)) 3))) (.f64 (/.f64 (.f64 (pow.f64 im 4) (+.f64 (*.f64 1/2 (neg.f64 (log.f64 re))) 1/4)) (pow.f64 re 4)) (neg.f64 (log.f64 re))))
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(fma.f64 -1 (/.f64 (fma.f64 -1/4 (pow.f64 im 6) (.f64 -1/360 (.f64 (neg.f64 (log.f64 re)) (.f64 (pow.f64 im 6) 120)))) (/.f64 (pow.f64 re 6) (neg.f64 (log.f64 re)))) (fma.f64 -1 (pow.f64 (neg.f64 (log.f64 re)) 3) (fma.f64 1/2 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (.f64 re re) (.f64 im im))) (fma.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (/.f64 (pow.f64 re 6) (pow.f64 (neg.f64 (log.f64 re)) 2))) (fma.f64 -1 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 4) (neg.f64 (log.f64 re)))) (fma.f64 -1/2 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (.f64 (pow.f64 im 4) (neg.f64 (log.f64 re))) (.f64 (pow.f64 im 4) 1/4)) (/.f64 (pow.f64 re 6) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 1/4 (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (.f64 re re) (*.f64 im im))))))))))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 (.f64 im im) re) (/.f64 (pow.f64 (log.f64 re) 2) re)) (fma.f64 1/720 (.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (pow.f64 re 6)) (pow.f64 (log.f64 re) 2)) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 4)) (pow.f64 im 4)) (fma.f64 1/2 (/.f64 (.f64 (pow.f64 im 4) (+.f64 (.f64 1/2 (neg.f64 (log.f64 re))) 1/4)) (/.f64 (pow.f64 re 6) (.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 re) 2))) (fma.f64 1/4 (.f64 (/.f64 (neg.f64 (log.f64 re)) (pow.f64 re 6)) (pow.f64 im 6)) (.f64 (/.f64 (.f64 im im) re) (/.f64 (pow.f64 (log.f64 re) 2) re)))))) (.f64 (/.f64 (.f64 (pow.f64 im 4) (+.f64 (.f64 1/2 (neg.f64 (log.f64 re))) 1/4)) (pow.f64 re 4)) (neg.f64 (log.f64 re)))))) (pow.f64 (neg.f64 (log.f64 re)) 3)) (/.f64 (neg.f64 (log.f64 re)) (/.f64 (pow.f64 re 6) (fma.f64 -1/4 (pow.f64 im 6) (.f64 (neg.f64 (log.f64 re)) (.f64 (*.f64 (pow.f64 im 6) 120) -1/360))))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
(neg.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3))
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eval1.5s (14%)

Compiler: Compiled 30787 to 23009 computations (25.3% saved)

prune185.0ms (1.8%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	1037	24	1061
Fresh	11	0	11
Picked	1	0	1
Done	3	2	5
Total	1052	26	1078

Error

Counts

1078 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	15.4b	(-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2))) 1)
	15.9b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))
	1.3b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)
✓	29.8b	(/.f64 (log.f64 im) (log.f64 10))
	0.7b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
	29.9b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
	30.0b	(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
	31.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 (/.f64 -1 re)))))
	30.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
▶	0.7b	(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)
▶	29.9b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	0.6b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))
	31.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
	39.0b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2)
▶	0.6b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
	39.2b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 10))))
	0.7b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) -3)))
	39.4b	(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
	31.8b	(-.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) 1)
	15.9b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 1)
	39.1b	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))
	15.6b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
	29.9b	(pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)
▶	0.7b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
▶	29.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 580 to 507 computations (12.6% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
✓	0.6b	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series34.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	im	@	-inf	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))
2.0ms	re	@	inf	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))
2.0ms	im	@	inf	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))
2.0ms	re	@	0	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))
1.0ms	im	@	0	(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`pow1_binary64`
847×	`add-log-exp_binary64`
847×	`expm1-log1p-u_binary64`
846×	`log1p-expm1-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	204	22
2	2401	22

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 9) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (*.f64 (cbrt.f64 (log1p.f64 9)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 9)) (*.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 9)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) 1) (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (log1p.f64 9) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log1p.f64 9) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log1p.f64 9)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 9) (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 9)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log1p.f64 9))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log1p.f64 9)) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log1p.f64 9)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log1p.f64 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))))

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

848×	`associate-*l/_binary64`
377×	`associate-/r/_binary64`
280×	`fma-def_binary64`
273×	`distribute-rgt-in_binary64`
266×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	3022
1	951	2938
2	3867	2714

Stop Event

1×	node limit

Counts

115 → 154

Calls

Call 1

Inputs
(/.f64 (log.f64 10) (log.f64 im))
(+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))))) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))) (.f64 1/6 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 10) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 10) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
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(/.f64 (log.f64 10) (log.f64 re))
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(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 im))))
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(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (.f64 1/4 (/.f64 (*.f64 (log.f64 10) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 im 4)))))
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(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))

Outputs
(/.f64 (log.f64 10) (log.f64 im))
(+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 10) (log.f64 im)) (/.f64 (.f64 -1/2 (.f64 (log.f64 10) (.f64 re re))) (.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 10) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 10) (log.f64 im)))
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(fma.f64 -1 (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (/.f64 (.f64 -1/2 (.f64 (log.f64 10) (.f64 re re))) (.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im)))))
(-.f64 (fma.f64 -1/2 (.f64 (.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 10) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 10) (log.f64 im))) (.f64 (.f64 (pow.f64 re 4) -1/4) (+.f64 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 10) (.f64 (pow.f64 im 4) (pow.f64 (log.f64 im) 2))))))
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(fma.f64 -1 (.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (fma.f64 -1 (.f64 (fma.f64 1/8 (/.f64 (/.f64 (log.f64 10) (pow.f64 (log.f64 im) 3)) (pow.f64 im 6)) (fma.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (.f64 im im))) (/.f64 (.f64 1/6 (log.f64 10)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (pow.f64 re 6)) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (/.f64 (.f64 -1/2 (.f64 (log.f64 10) (.f64 re re))) (.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))))))
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(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re))))
(neg.f64 (/.f64 (log.f64 10) (neg.f64 (log.f64 re))))
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(-.f64 (.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (.f64 1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 10)) (/.f64 120 (pow.f64 re 6)))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 im (/.f64 (.f64 re re) im)) (log.f64 10)) (fma.f64 1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 10)) (/.f64 120 (pow.f64 re 6))) (*.f64 (/.f64 -1/4 (log.f64 10)) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 (log.f64 re) (log.f64 10))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 10))
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(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (/.f64 im (/.f64 (*.f64 re re) im)) (log.f64 10)) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (/.f64 (.f64 -1/4 (pow.f64 im 4)) (*.f64 (log.f64 10) (pow.f64 re 4)))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (/.f64 im (/.f64 (*.f64 re re) im)) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (pow.f64 re 4)) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(fma.f64 1/2 (/.f64 (.f64 im im) (.f64 (log.f64 10) (.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 10)))))
(fma.f64 1/2 (.f64 (/.f64 im (log.f64 10)) (/.f64 im (.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 10)))))
(fma.f64 1/2 (/.f64 (/.f64 im (/.f64 (.f64 re re) im)) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (pow.f64 re 4)) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im)))))
(fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (/.f64 (log.f64 im) (log.f64 10)))
(fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 10)))
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(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (/.f64 re im) (/.f64 re im)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (/.f64 (.f64 1/720 (.f64 (pow.f64 re 6) 120)) (.f64 (log.f64 10) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (/.f64 120 (pow.f64 im 6)))))) (neg.f64 (/.f64 (log.f64 im) (log.f64 10))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
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(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im)))))
(-.f64 (.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (.f64 (/.f64 1/2 (log.f64 10)) (.f64 (/.f64 re im) (/.f64 re im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/2 (log.f64 10)) (*.f64 (/.f64 re im) (/.f64 re im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (/.f64 (.f64 1/720 (.f64 (pow.f64 re 6) 120)) (.f64 (log.f64 10) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 re (log.f64 10)) (/.f64 re (.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (/.f64 120 (pow.f64 im 6)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 1/720 (/.f64 (pow.f64 re 6) (.f64 (pow.f64 im 6) (/.f64 (log.f64 10) 120))) (/.f64 (.f64 (pow.f64 re 4) -1/4) (.f64 (log.f64 10) (pow.f64 im 4))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (log.f64 im) (log.f64 1/10))
✓	1.0b	(log.f64 1/10)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series14.0ms (0.1%)

Counts

2 → 8

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 1/10))
1.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 1/10))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`pow1_binary64`
539×	`add-log-exp_binary64`
539×	`log1p-expm1-u_binary64`
539×	`expm1-log1p-u_binary64`
528×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1451	11

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(log.f64 1/10)
(/.f64 (log.f64 im) (log.f64 1/10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 -9/10)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 1/10))))))))

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

958×	`div-sub_binary64`
595×	`fma-def_binary64`
559×	`fma-neg_binary64`
418×	`distribute-rgt-in_binary64`
397×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	96
1	31	96
2	47	64
3	99	64
4	219	64
5	663	64
6	2141	64
7	4867	64
8	6241	64
9	7114	64

Stop Event

1×	node limit

Counts

53 → 48

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 1/10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 1/10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 1/10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 1/10))

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
	1.0b	(log.f64 1/10)

Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
1.0ms	re	@	inf	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
1.0ms	im	@	0	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
1.0ms	im	@	-inf	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
724×	`add-log-exp_binary64`
723×	`log1p-expm1-u_binary64`
723×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	187	11
2	2394	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log1p.f64 -9/10)) (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 -9/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log1p.f64 -9/10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log1p.f64 -9/10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log1p.f64 -9/10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 -9/10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log1p.f64 -9/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10))))))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

870×	`cancel-sign-sub-inv_binary64`
848×	`fma-neg_binary64`
577×	`associate-/l/_binary64`
399×	`associate-/r/_binary64`
366×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	928
1	265	908
2	812	900
3	3324	870
4	6350	870

Stop Event

1×	node limit

Counts

60 → 74

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))))))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))) (.f64 -1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 1/10) (pow.f64 re 6)))))))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (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 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (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 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))

Outputs
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))))
(-.f64 (.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re)) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (/.f64 (/.f64 -1/2 im) im)) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (-.f64 (.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im)))) (/.f64 (log.f64 im) (log.f64 1/10))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (-.f64 (.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (*.f64 im im))) re)) (/.f64 (log.f64 im) (log.f64 1/10))))
(-.f64 (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4)))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im))) (/.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 re 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 (/.f64 -1/6 (log.f64 1/10)) (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 im (/.f64 (log.f64 1/10) im)) (/.f64 -1/2 (.f64 re re))) (/.f64 (log.f64 re) (log.f64 1/10)))
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(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))) (/.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 (log.f64 1/10) (pow.f64 re 4))))
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(-.f64 (.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 -1/2 (/.f64 (.f64 (.f64 im im) 1/4) (.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(fma.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 (/.f64 (.f64 (.f64 im im) 1/4) (*.f64 re re)) -1/2) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 1/10) (pow.f64 re 6))) (+.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)) (/.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 (log.f64 1/10) (pow.f64 re 4))))))
(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 -1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 120 (pow.f64 re 6))) (-.f64 (.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 1/10)))))
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(fma.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6))) (-.f64 (.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 -1/2 (/.f64 (.f64 (.f64 im im) 1/4) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10))))
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(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))
(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 -1/2 (/.f64 (.f64 (.f64 im im) 1/4) (.f64 re re)))))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 1/10) (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 120 (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
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(+.f64 (/.f64 (pow.f64 im 6) (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 6)) -1/6)) (+.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 -1/2 (/.f64 (.f64 (.f64 im im) 1/4) (*.f64 re re))))))
(*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))
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(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 im (/.f64 (log.f64 1/10) im)) (/.f64 -1/2 (.f64 re re))) (/.f64 (log.f64 re) (log.f64 1/10)))
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(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (-.f64 (*.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 1/10))))
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(fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 -1/720 (.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 120 (pow.f64 re 6))) (-.f64 (.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 1/10)))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (fma.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6))) (/.f64 (.f64 (/.f64 1/4 (pow.f64 re 4)) (pow.f64 im 4)) (log.f64 1/10)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(fma.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6))) (-.f64 (.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 -1/2 (/.f64 (.f64 (.f64 im im) 1/4) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10))))
(fma.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6))) (fma.f64 (.f64 (/.f64 im (log.f64 1/10)) (/.f64 im (.f64 re re))) (+.f64 (/.f64 (.f64 (.f64 im im) 1/4) (.f64 re re)) -1/2) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))))
(-.f64 (.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (*.f64 im im)))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re)) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (/.f64 (/.f64 -1/2 im) im)) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (-.f64 (.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im)))) (/.f64 (log.f64 im) (log.f64 1/10))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (-.f64 (.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (*.f64 im im))) re)) (/.f64 (log.f64 im) (log.f64 1/10))))
(-.f64 (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4)))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im))) (/.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 re 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 (/.f64 -1/6 (log.f64 1/10)) (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (*.f64 im im))) re) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(fma.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(+.f64 (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(fma.f64 -1/720 (.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 1/10))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 re (.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (fma.f64 -1/2 (.f64 (/.f64 re (.f64 (log.f64 1/10) (.f64 im im))) re) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (fma.f64 (/.f64 -1/6 (log.f64 1/10)) (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (+.f64 (/.f64 (/.f64 -1/2 im) im) (/.f64 (.f64 (.f64 1/4 re) re) (pow.f64 im 4))))))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)
✓	0.3b	(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
✓	1.0b	(/.f64 1 (log.f64 1/10))
	1.0b	(log.f64 1/10)

Compiler

Compiled 48 to 27 computations (43.8% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
1.0ms	re	@	inf	(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
1.0ms	im	@	0	(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
1.0ms	im	@	inf	(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
0.0ms	im	@	-inf	(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)

rewrite229.0ms (2.2%)

Algorithm

1×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

852×	`pow1_binary64`
786×	`add-log-exp_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	248	18
2	2993	18
0	5	6
1	97	6
2	1012	6
0	11	17
1	217	14
2	2464	14
0	12	20
1	248	20
2	2993	20
0	12	20

Stop Event

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

Counts

3 → 72

Calls

Call 1

Inputs
(/.f64 1 (log.f64 1/10))
(fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)
(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9))) (pow.f64 (cbrt.f64 (log.f64 1/10)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (log.f64 1/10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) -2) (cbrt.f64 (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 1/10) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 1/10) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 1/10) -2) (pow.f64 (cbrt.f64 (log.f64 1/10)) -2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 1/10) -5/2) 1/3) (cbrt.f64 (pow.f64 (log.f64 1/10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9)))) 2) 3) (cbrt.f64 (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 1/10) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 1/10)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 1/10)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (log.f64 1/10)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (log.f64 1/10))))) (sqrt.f64 (neg.f64 (log.f64 (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 1/10) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 1/10) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 1/10) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (log.f64 1/10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 1/10))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 3) 1) (+.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) (-.f64 1 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 1) (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)) (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1))) (cbrt.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)) (sqrt.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 3) 1) (+.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)) (+.f64 1 (*.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1)) 1) (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1) (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)) (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) -1)))))))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l/_binary64`
559×	`fma-neg_binary64`
409×	`associate-+l+_binary64`
406×	`fma-def_binary64`
399×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	1926
1	337	1880
2	1058	1848
3	4271	1796

Stop Event

1×	node limit

Counts

120 → 148

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) 1)
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2))))))))
(+.f64 1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)) (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))))))))
(+.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))))
(+.f64 1 (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))))))
(+.f64 1 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))) (.f64 -1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 1/10) (pow.f64 re 6))))))))
(+.f64 1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)))
(+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (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 1/10) (pow.f64 im 6)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))))
(+.f64 1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(+.f64 1 (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (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 1/10) (pow.f64 im 6)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))))
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (/.f64 (log.f64 (/.f64 1 re)) (log.f64 1/10)))
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Outputs
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(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) 1)
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(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(fma.f64 -1/2 (.f64 (/.f64 im (.f64 (log.f64 1/10) (.f64 re re))) im) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (.f64 (/.f64 im (.f64 (/.f64 (.f64 re re) im) (log.f64 1/10))) (+.f64 -1/2 (/.f64 (.f64 (.f64 1/4 im) im) (.f64 re re)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 -1/720 (/.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 1/10)) (pow.f64 re 6)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 -1/720 (/.f64 (pow.f64 im 6) (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 6)) 120)) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 im (.f64 (log.f64 1/10) (.f64 re re))) im) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (*.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 -1/6 (pow.f64 re 6)))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (+.f64 (/.f64 (.f64 -1/6 (pow.f64 im 6)) (.f64 (log.f64 1/10) (pow.f64 re 6))) (.f64 (/.f64 im (.f64 (/.f64 (.f64 re re) im) (log.f64 1/10))) (+.f64 -1/2 (/.f64 (.f64 (.f64 1/4 im) im) (.f64 re re))))))
(*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (.f64 (/.f64 im (.f64 (log.f64 1/10) (.f64 re re))) im)) (/.f64 (log.f64 re) (log.f64 1/10)))
(-.f64 (/.f64 (.f64 im -1/2) (.f64 (log.f64 1/10) (/.f64 (*.f64 re re) im))) (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))) (/.f64 (.f64 1/4 (pow.f64 im 4)) (*.f64 (log.f64 1/10) (pow.f64 re 4))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (-.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 1/10))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 im (.f64 (log.f64 1/10) (.f64 re re))) im) (.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4))))) (/.f64 (log.f64 re) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 im (.f64 (/.f64 (.f64 re re) im) (log.f64 1/10))) (+.f64 -1/2 (/.f64 (.f64 (.f64 1/4 im) im) (.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))) (.f64 -1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 1/10) (pow.f64 re 6)))))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 -1/720 (/.f64 (/.f64 (.f64 (pow.f64 im 6) 120) (log.f64 1/10)) (pow.f64 re 6)) (+.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)) (/.f64 (.f64 1/4 (pow.f64 im 4)) (.f64 (log.f64 1/10) (pow.f64 re 4))))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 -1/720 (/.f64 (pow.f64 im 6) (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 6)) 120)) (-.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 1/10)))))
(fma.f64 -1/2 (.f64 (/.f64 im (.f64 (log.f64 1/10) (.f64 re re))) im) (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (*.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 -1/6 (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 1/10))))
(fma.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6))) (-.f64 (.f64 (/.f64 im (.f64 (/.f64 (.f64 re re) im) (log.f64 1/10))) (+.f64 -1/2 (/.f64 (.f64 (.f64 1/4 im) im) (*.f64 re re)))) (/.f64 (log.f64 re) (log.f64 1/10))))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (.f64 im im))))
(-.f64 (.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 1/10))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 (.f64 -1/2 re) (log.f64 1/10)) (/.f64 (/.f64 re im) im)) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (*.f64 im im)))))
(-.f64 (fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 1/10)))) (.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 1/10) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 (/.f64 re im) im)) (.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 1/10) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (.f64 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)) (+.f64 -1/2 (/.f64 (.f64 (.f64 re re) 1/4) (.f64 im im)))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (.f64 im im))))))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 1/10)))) (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 (/.f64 re im) im)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (*.f64 (/.f64 (pow.f64 re 6) (log.f64 1/10)) (/.f64 -1/6 (pow.f64 im 6))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(-.f64 (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (.f64 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)) (+.f64 -1/2 (/.f64 (.f64 (.f64 re re) 1/4) (*.f64 im im))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (*.f64 im (log.f64 1/10)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 (/.f64 -1/2 (log.f64 1/10)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (.f64 im (log.f64 1/10)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 (/.f64 re im) im)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(+.f64 (.f64 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)) (+.f64 -1/2 (/.f64 (.f64 (.f64 re re) 1/4) (.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (/.f64 (.f64 -1/2 (.f64 re re)) (.f64 (log.f64 1/10) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(fma.f64 -1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 1/10)) (/.f64 120 (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 im (*.f64 im (log.f64 1/10)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(+.f64 (.f64 (/.f64 (pow.f64 re 6) (log.f64 1/10)) (/.f64 -1/6 (pow.f64 im 6))) (fma.f64 -1/2 (.f64 (/.f64 re (log.f64 1/10)) (/.f64 (/.f64 re im) im)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 1/10) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (fma.f64 -1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 1/10) (pow.f64 im 6))) (.f64 (/.f64 (/.f64 (.f64 re re) (log.f64 1/10)) (.f64 im im)) (+.f64 -1/2 (/.f64 (.f64 (.f64 re re) 1/4) (*.f64 im im))))))

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))
✓	0.3b	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 35 to 29 computations (17.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	-inf	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 10)))
0.0ms	im	@	inf	(/.f64 (log.f64 im) (sqrt.f64 (log.f64 10)))
0.0ms	im	@	0	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))
0.0ms	im	@	-inf	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`pow1_binary64`
859×	`add-log-exp_binary64`
859×	`log1p-expm1-u_binary64`
859×	`expm1-log1p-u_binary64`
840×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	201	18
2	2471	18

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (sqrt.f64 (log.f64 10)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (pow.f64 (log1p.f64 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 9) -1/2) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log1p.f64 9))) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -1/2)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (pow.f64 (log1p.f64 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log1p.f64 9))) (cbrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 9)) -1/2) (/.f64 (log.f64 im) (pow.f64 (log1p.f64 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 9)) -1/2) (*.f64 (pow.f64 (sqrt.f64 (log1p.f64 9)) -1/2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (log1p.f64 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) (sqrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change 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#<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (cbrt.f64 (/.f64 1 (log1p.f64 9)))) (cbrt.f64 (pow.f64 (log1p.f64 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log1p.f64 9)) -1/2)) (pow.f64 (sqrt.f64 (log1p.f64 9)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 9) -1/2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log1p.f64 9) -1/2) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log1p.f64 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (/.f64 (sqrt.f64 (log1p.f64 9)) (pow.f64 (log1p.f64 9) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im)) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log1p.f64 9) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 2) (log1p.f64 9))) (/.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log1p.f64 9) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) (/.f64 (sqrt.f64 (log1p.f64 9)) (sqrt.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (log.f64 im)) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log1p.f64 9)) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) (neg.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 im)) 1) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (*.f64 (sqrt.f64 (log1p.f64 9)) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 im)) -1) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (log.f64 im))) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log1p.f64 9) 1/4)) (pow.f64 (log1p.f64 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 1) (sqrt.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) (cbrt.f64 (log1p.f64 9))) (cbrt.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 im)) (pow.f64 (log1p.f64 9) -1/2)) (neg.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9)))) (neg.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) -1) (neg.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log1p.f64 9) -1/2) (neg.f64 (log.f64 im))) (neg.f64 (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log1p.f64 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 3) (pow.f64 (log1p.f64 9) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 3) (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3) (pow.f64 (/.f64 (log.f64 im) (sqrt.f64 (log1p.f64 9))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))))

simplify162.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1069×	`div-sub_binary64`
502×	`fma-def_binary64`
491×	`sub-neg_binary64`
391×	`associate-/l*_binary64`
378×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	252
1	51	252
2	91	252
3	184	252
4	379	252
5	1062	252
6	2744	252
7	3511	252
8	4046	252
9	4517	252
10	4932	252
11	5469	252
12	6213	252
13	6666	252
14	7856	252

Stop Event

1×	node limit

Counts

110 → 92

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))

Outputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))

eval262.0ms (2.5%)

Compiler: Compiled 12113 to 9016 computations (25.6% saved)

prune116.0ms (1.1%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	534	12	546
Fresh	13	6	19
Picked	0	1	1
Done	2	4	6
Total	549	23	572

Error

Counts

572 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
✓	29.8b	(/.f64 (log.f64 im) (log.f64 10))
	29.9b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))
▶	29.9b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
	31.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 (/.f64 -1 re)))))
▶	30.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
	29.9b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1))
	15.6b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
✓	29.9b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	31.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
▶	0.7b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))
	31.9b	(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
	0.7b	(*.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))
✓	0.7b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
✓	29.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))
	39.2b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
	31.9b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
	39.4b	(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
▶	15.9b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))
	29.9b	(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))
	15.2b	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2))
▶	0.6b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))

Compiler

Compiled 468 to 411 computations (12.2% saved)

localize44.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))
✓	0.3b	(/.f64 1 (log.f64 (hypot.f64 re im)))
✓	0.6b	(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	im	@	-inf	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	0	(/.f64 1 (log.f64 (hypot.f64 re im)))
1.0ms	re	@	-inf	(/.f64 1 (log.f64 (hypot.f64 re im)))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`pow1_binary64`
886×	`add-log-exp_binary64`
886×	`expm1-log1p-u_binary64`
885×	`log1p-expm1-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	223	31
2	2581	31

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9))
(/.f64 1 (log.f64 (hypot.f64 re im)))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 10)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 10)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 10) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 10) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 10) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 10)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) -1) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (hypot.f64 re im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

simplify135.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

481×	`distribute-rgt-in_binary64`
442×	`fma-def_binary64`
408×	`associate-/r*_binary64`
340×	`times-frac_binary64`
257×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	4714
1	1433	4577
2	5766	4268

Stop Event

1×	node limit

Counts

148 → 207

Calls

Call 1

Inputs
(/.f64 (log.f64 10) (log.f64 im))
(+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))))) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))) (.f64 1/6 (/.f64 (log.f64 10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 10) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 10) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 re)))) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))
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(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
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Outputs
(/.f64 (log.f64 10) (log.f64 im))
(+.f64 (/.f64 (log.f64 10) (log.f64 im)) (.f64 -1/2 (/.f64 (.f64 (log.f64 10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
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(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (.f64 re re) (.f64 (log.f64 10) (.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 10)) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 (/.f64 re im) (/.f64 re im)) (log.f64 10)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))) (.f64 (/.f64 1/720 (log.f64 10)) (/.f64 (.f64 (pow.f64 re 6) 120) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
✓	0.5b	(/.f64 (log1p.f64 9) (log.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	im	@	0	(/.f64 (log1p.f64 9) (log.f64 im))
1.0ms	im	@	-inf	(/.f64 (log1p.f64 9) (log.f64 im))
1.0ms	im	@	inf	(/.f64 (log1p.f64 9) (log.f64 im))
0.0ms	im	@	0	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
682×	`add-log-exp_binary64`
682×	`expm1-log1p-u_binary64`
681×	`log1p-expm1-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	164	16
2	1936	16

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(/.f64 (log1p.f64 9) (log.f64 im))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 10) (log.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 im)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 10) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 10) (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 10) (log.f64 im))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (log.f64 im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) 1) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))))))

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

807×	`div-sub_binary64`
691×	`fma-def_binary64`
636×	`associate--r-_binary64`
613×	`fma-neg_binary64`
420×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	192
1	40	192
2	59	192
3	122	192
4	280	192
5	892	192
6	2843	192
7	5767	192
8	7083	192
9	7364	192
10	7547	192
11	7653	192

Stop Event

1×	node limit

Counts

91 → 73

Calls

Call 1

Inputs
(/.f64 (log.f64 10) (log.f64 im))
(/.f64 (log.f64 10) (log.f64 im))
(/.f64 (log.f64 10) (log.f64 im))
(/.f64 (log.f64 10) (log.f64 im))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 im))))
(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 im))))
(/.f64 (log.f64 10) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 10) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 10) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 10) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
✓	1.0b	(/.f64 1 (log.f64 10))
✓	3.4b	(pow.f64 im (/.f64 1 (log.f64 10)))

Compiler

Compiled 24 to 21 computations (12.5% saved)

series80.0ms (0.8%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
49.0ms	im	@	-inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
14.0ms	im	@	inf	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
14.0ms	im	@	0	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
2.0ms	im	@	-inf	(pow.f64 im (/.f64 1 (log.f64 10)))
1.0ms	im	@	0	(pow.f64 im (/.f64 1 (log.f64 10)))

rewrite147.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

663×	`pow1_binary64`
618×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
604×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	159	23
2	1764	23

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(pow.f64 im (/.f64 1 (log.f64 10)))
(/.f64 1 (log.f64 10))
(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 im (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) (pow.f64 (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) 2) (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) (sqrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (pow.f64 (log1p.f64 9) -1)) (pow.f64 im (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 im) 2) (pow.f64 (log1p.f64 9) -1)) (pow.f64 (cbrt.f64 im) (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 im) (pow.f64 (log1p.f64 9) -1)) (pow.f64 (sqrt.f64 im) (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 im im) (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 im) (log1p.f64 9)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log1p.f64 9) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 9) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -1)) (cbrt.f64 (pow.f64 (log1p.f64 9) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -2)) (cbrt.f64 (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 9) -1/2) (pow.f64 (log1p.f64 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) -1) (pow.f64 (cbrt.f64 (log1p.f64 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log1p.f64 9)) -1) (pow.f64 (sqrt.f64 (log1p.f64 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 9) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 9) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log1p.f64 9))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 im) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1)))) (log.f64 (sqrt.f64 (pow.f64 im (pow.f64 (log1p.f64 9) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 9) -1) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (pow.f64 (log1p.f64 9) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -2)) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -1)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) (sqrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 9) -1/2) (*.f64 (pow.f64 (log1p.f64 9) -1/2) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log1p.f64 9) -2))) (cbrt.f64 (pow.f64 (log1p.f64 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 im) (pow.f64 (log1p.f64 9) -1/2)) (pow.f64 (log1p.f64 9) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 im)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log1p.f64 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log1p.f64 9))))))))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1081×	`fma-def_binary64`
447×	`div-sub_binary64`
321×	`exp-prod_binary64`
296×	`sub-neg_binary64`
233×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	216
1	37	216
2	59	216
3	131	216
4	331	216
5	1293	204
6	5311	204

Stop Event

1×	node limit

Counts

87 → 70

Calls

Call 1

Inputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))

Outputs
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10)))
(exp.f64 (/.f64 (log.f64 im) (log.f64 10)))
(pow.f64 im (/.f64 1 (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 10))
(/.f64 (log.f64 im) (log.f64 10))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))
✓	0.3b	(/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))
✓	0.6b	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
	1.0b	(log.f64 1/10)

Compiler

Compiled 49 to 23 computations (53.1% saved)

series22.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	im	@	inf	(/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))
2.0ms	re	@	inf	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
2.0ms	im	@	inf	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
1.0ms	re	@	0	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
1.0ms	re	@	inf	(/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))

rewrite208.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`pow1_binary64`
899×	`add-log-exp_binary64`
899×	`log1p-expm1-u_binary64`
899×	`expm1-log1p-u_binary64`
116×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	245	31
2	2999	31

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs
(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im)))))
(/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 1/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) -1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 1/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 1/10) -1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 1/10 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 1 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (hypot.f64 re im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 1/10)) 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 1/10)) -1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))))))))

simplify146.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-/r*_binary64`
455×	`times-frac_binary64`
450×	`fma-def_binary64`
342×	`unswap-sqr_binary64`
323×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	4725
1	1544	4605
2	6620	4603

Stop Event

1×	node limit

Counts

153 → 211

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im)))
(+.f64 (.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im))) (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im))) (+.f64 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im))) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (pow.f64 im 2)))) (.f64 1/6 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))))) (pow.f64 re 6)) (+.f64 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))))
(/.f64 (log.f64 1/10) (log.f64 (/.f64 1 re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (/.f64 (log.f64 1/10) (log.f64 (/.f64 1 re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (/.f64 (log.f64 1/10) (log.f64 (/.f64 1 re))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (pow.f64 im 2)) (.f64 (pow.f64 re 6) (log.f64 (/.f64 1 re))))) (+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 6)) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 3)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 1/10) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (/.f64 (log.f64 1/10) (log.f64 (/.f64 1 re)))))))))
(/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (*.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 2)) (.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 im 2) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))) (.f64 (pow.f64 re 6) (log.f64 (/.f64 -1 re))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 6)) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (+.f64 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))) (+.f64 (.f64 1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (+.f64 (.f64 1/720 (/.f64 (.f64 (log.f64 1/10) (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6)))) (.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))) (.f64 -1/4 (/.f64 (.f64 (log.f64 1/10) (pow.f64 im 4)) (.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))))))
(*.f64 -1 (/.f64 (log.f64 1/10) (log.f64 re)))
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(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (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 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))

Outputs
(*.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 1/10) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im))
(+.f64 (.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im))) (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 2)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im)) (.f64 1/2 (/.f64 (log.f64 1/10) (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (.f64 im im)) (.f64 re re)))))
(-.f64 (.f64 1/2 (/.f64 (/.f64 (.f64 (log.f64 1/10) (.f64 re re)) (.f64 im im)) (pow.f64 (log.f64 im) 2))) (/.f64 (log.f64 1/10) (log.f64 im)))
(+.f64 (.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im))) (+.f64 (.f64 (pow.f64 re 4) (+.f64 (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (.f64 -1/4 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4)))))) (.f64 1/2 (/.f64 (.f64 (log.f64 1/10) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))))
(fma.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im)) (fma.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 1/2 (/.f64 (log.f64 1/10) (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (.f64 im im)) (*.f64 re re))))))
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(fma.f64 -1 (/.f64 (log.f64 1/10) (log.f64 im)) (fma.f64 (fma.f64 1/8 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (fma.f64 -1/2 (/.f64 (.f64 -1/4 (+.f64 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 (log.f64 im) (.f64 im im))) (/.f64 (.f64 1/6 (log.f64 1/10)) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (pow.f64 re 6) (fma.f64 (pow.f64 re 4) (.f64 -1/4 (+.f64 (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 1/10) (.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (.f64 1/2 (/.f64 (log.f64 1/10) (/.f64 (.f64 (pow.f64 (log.f64 im) 2) (.f64 im im)) (*.f64 re re)))))))
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(/.f64 (log.f64 1/10) (log.f64 (/.f64 1 re)))
(/.f64 (log.f64 1/10) (neg.f64 (log.f64 re)))
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(/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re)))
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(fma.f64 1/2 (/.f64 (/.f64 (.f64 (log.f64 1/10) (.f64 im im)) (*.f64 re re)) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (.f64 im im) re) (/.f64 (log.f64 1/10) re)) (pow.f64 (log.f64 (/.f64 -1 re)) 2)) (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
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(*.f64 -1 (/.f64 (log.f64 1/10) (log.f64 re)))
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(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 -1/720 (/.f64 (.f64 (pow.f64 im 6) 120) (.f64 (log.f64 1/10) (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 1/10)) (/.f64 120 (pow.f64 re 6))) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))))
(*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10)))
(-.f64 (.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (*.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 1/10))) (.f64 1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 1/10) (pow.f64 re 4)))))
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (/.f64 (/.f64 (*.f64 (pow.f64 im 4) 1/4) (log.f64 1/10)) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 1/10)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 1/10) (pow.f64 re 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4)))) (+.f64 (.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10))) (.f64 -1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 1/10) (pow.f64 re 6)))))))
(fma.f64 -1/2 (/.f64 (.f64 im im) (.f64 (log.f64 1/10) (.f64 re re))) (fma.f64 1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 1/10) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 re) (log.f64 1/10)) (.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6)))))))
(fma.f64 -1/2 (/.f64 (/.f64 (.f64 im im) (log.f64 1/10)) (.f64 re re)) (fma.f64 1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 1/10)) (pow.f64 re 4)) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 1/10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 1/10)))))
(/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (.f64 im im)))))
(-.f64 (/.f64 -1/2 (.f64 (/.f64 (.f64 im im) re) (/.f64 (log.f64 1/10) re))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 -1 (/.f64 (log.f64 im) (log.f64 1/10)) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (*.f64 im im))))))
(-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 1/10))) (/.f64 1/4 (/.f64 (log.f64 1/10) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10)))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (*.f64 im im)))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10)))))
(fma.f64 -1/720 (.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 1/10))) (-.f64 (fma.f64 -1/2 (.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 1/10))) (/.f64 1/4 (/.f64 (log.f64 1/10) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))) (/.f64 (log.f64 im) (log.f64 1/10))))
(/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))
(+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(fma.f64 -1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 1/10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2))))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 1/10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10))))
(+.f64 (.f64 -1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (.f64 (log.f64 1/10) (pow.f64 im 6)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4)))) (+.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 1/10) (pow.f64 im 2)))))))
(fma.f64 -1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (.f64 (log.f64 1/10) (pow.f64 im 6))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (log.f64 1/10) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))
(fma.f64 -1/720 (.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (/.f64 120 (log.f64 1/10))) (fma.f64 1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 1/10) (pow.f64 im 4))) (fma.f64 -1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 1/10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 1/10)))))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))
✓	0.8b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))

Compiler

Compiled 38 to 19 computations (50% saved)

series14.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
2.0ms	im	@	inf	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
1.0ms	re	@	0	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
1.0ms	im	@	0	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
1.0ms	im	@	-inf	(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`pow1_binary64`
772×	`add-log-exp_binary64`
772×	`expm1-log1p-u_binary64`
771×	`log1p-expm1-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	188	35
2	2115	35

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))
(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))
(log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 10) (cbrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 10) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)) (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (log.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2) (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (log.f64 (hypot.f64 re im))) 3) (pow.f64 (log.f64 (log.f64 10)) 3)) (+.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 (hypot.f64 re im)))) (+.f64 (*.f64 (log.f64 (log.f64 10)) (log.f64 (log.f64 10))) (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (log.f64 10)) (log.f64 (log.f64 10)))) (+.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

799×	`associate-/l*_binary64`
647×	`associate-r_binary64`
630×	`associate-l_binary64`
453×	`associate-*l/_binary64`
385×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	3416
1	827	3360
2	2842	3152

Stop Event

1×	node limit

Counts

177 → 155

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 im 6) (.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))) (.f64 -1/4 (/.f64 (pow.f64 re 4) (.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 im 4) (.f64 (log.f64 10) (pow.f64 re 4)))) (.f64 1/720 (/.f64 (+.f64 (.f64 90 (pow.f64 im 6)) (.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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Outputs
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(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im)))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4))) (+.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 im 2))))))
(fma.f64 1/24 (/.f64 (fma.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)) (+.f64 (log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 -1/2 (/.f64 (.f64 re re) (.f64 (*.f64 im im) (log.f64 (/.f64 -1 im)))))))
(fma.f64 1/24 (/.f64 (fma.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)) (fma.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (*.f64 im im)) (log.f64 (/.f64 -1 im))) (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10)))))
(fma.f64 1/24 (/.f64 (.f64 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (+.f64 6 (/.f64 -3 (log.f64 (/.f64 -1 im))))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 (/.f64 -1 im)))) (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10)))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im)))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4))) (+.f64 (log.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 (/.f64 -1 im)) (pow.f64 im 2)))) (.f64 1/720 (/.f64 (+.f64 (.f64 -30 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (.f64 90 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (.f64 -1 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (log.f64 (/.f64 -1 im)))))) (pow.f64 im 6))))))
(fma.f64 1/24 (/.f64 (fma.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)) (+.f64 (log.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (fma.f64 -1/2 (/.f64 (.f64 re re) (.f64 (.f64 im im) (log.f64 (/.f64 -1 im)))) (.f64 1/720 (/.f64 (fma.f64 -30 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (fma.f64 90 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (neg.f64 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 (/.f64 -1 im)))))) (pow.f64 im 6))))))
(+.f64 (fma.f64 1/24 (/.f64 (fma.f64 6 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (.f64 -3 (/.f64 (pow.f64 re 4) (pow.f64 (log.f64 (/.f64 -1 im)) 2)))) (pow.f64 im 4)) (fma.f64 -1/2 (/.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (/.f64 -1 im))) (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))))) (.f64 1/720 (/.f64 (fma.f64 -30 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 3)) (fma.f64 90 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (/.f64 (neg.f64 (*.f64 (pow.f64 re 6) 120)) (log.f64 (/.f64 -1 im))))) (pow.f64 im 6))))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 (/.f64 (pow.f64 re 4) (log.f64 (/.f64 -1 im))) (+.f64 6 (/.f64 -3 (log.f64 (/.f64 -1 im))))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (log.f64 (/.f64 -1 im)))) (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))))) (.f64 (/.f64 1/720 (pow.f64 im 6)) (+.f64 (/.f64 (.f64 (pow.f64 re 6) -120) (log.f64 (/.f64 -1 im))) (.f64 (/.f64 (pow.f64 re 6) (pow.f64 (log.f64 (/.f64 -1 im)) 2)) (+.f64 (/.f64 -30 (log.f64 (/.f64 -1 im))) 90)))))

eval470.0ms (4.5%)

Compiler: Compiled 20794 to 15504 computations (25.4% saved)

prune169.0ms (1.6%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	721	10	731
Fresh	4	9	13
Picked	1	0	1
Done	3	6	9
Total	729	25	754

Error

Counts

754 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
✓	29.8b	(/.f64 (log.f64 im) (log.f64 10))
	29.9b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))
✓	29.9b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
	31.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
	29.9b	(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))
	31.9b	(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log1p.f64 9)))
	31.7b	(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 (/.f64 -1 re)))))
✓	30.0b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
	39.2b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
	15.2b	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2))
	15.6b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
✓	29.9b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	29.6b	(log.f64 (pow.f64 im (sqrt.f64 (pow.f64 (log1p.f64 9) -2))))
	31.9b	(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
✓	0.7b	(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
	31.9b	(/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
	31.9b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (log.f64 (/.f64 -1 re)))))
	29.9b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (log.f64 im))))
	39.4b	(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
	31.9b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
	39.4b	(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
	29.9b	(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im)))
	0.7b	(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 (hypot.f64 re im))))

Compiler

Compiled 275 to 244 computations (11.3% saved)

regimes318.0ms (3%)

Counts

64 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (log.f64 im))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log1p.f64 9)))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (log.f64 (/.f64 -1 re)))))
(-.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1))
(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 (hypot.f64 re im))))
(*.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)
(log.f64 (pow.f64 im (sqrt.f64 (pow.f64 (log1p.f64 9) -2))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 1)
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))
(-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 (/.f64 -1 re)))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))

Outputs
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))

Calls

10 calls:

47.0ms	(*.f64 im im)
45.0ms	im
35.0ms	re
29.0ms	(+.f64 (.f64 re re) (.f64 im im))
29.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))

Results

Error	Segments	Branch
0.5b	1	`re`
0.5b	1	`im`
0.5b	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))`
0.5b	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0.5b	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0.5b	1	`(+.f64 (.f64 re re) (.f64 im im))`
0.5b	1	`(*.f64 re re)`
0.5b	1	`(*.f64 re re)`
0.5b	1	`(*.f64 im im)`
0.5b	1	`(*.f64 im im)`

Compiler

Compiled 695 to 484 computations (30.4% saved)

regimes443.0ms (4.2%)

Counts

61 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (log.f64 im))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log1p.f64 9)))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (log.f64 (/.f64 -1 re)))))
(-.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1))
(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 (hypot.f64 re im))))
(*.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log1p.f64 9)) 3))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))))
(-.f64 (fma.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)) 1) 1)
(log.f64 (pow.f64 im (sqrt.f64 (pow.f64 (log1p.f64 9) -2))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))) -2))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 1)
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) -3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 10))))
(-.f64 (expm1.f64 (log.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
(.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 (/.f64 -1 re)))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))

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

Calls

10 calls:

89.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
69.0ms	im
54.0ms	(*.f64 im im)
41.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
38.0ms	re

Results

Error	Segments	Branch
0.5b	1	`re`
0.5b	1	`im`
0.5b	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))`
0.5b	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0.5b	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0.5b	1	`(+.f64 (.f64 re re) (.f64 im im))`
0.5b	1	`(*.f64 re re)`
0.5b	1	`(*.f64 re re)`
0.5b	1	`(*.f64 im im)`
0.5b	1	`(*.f64 im im)`

Compiler

Compiled 645 to 457 computations (29.1% saved)

regimes74.0ms (0.7%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (log.f64 im))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log1p.f64 9)))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (log.f64 (/.f64 -1 re)))))
(-.f64 (-.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) 1)
(log.f64 (pow.f64 im (/.f64 1 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)

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

Calls

2 calls:

38.0ms	im
30.0ms	re

Results

Error	Segments	Branch
6.7b	2	`re`
9.2b	4	`im`

Compiler

Compiled 157 to 131 computations (16.6% saved)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-2.738045945763414e-31	-1.145923950736233e-32

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes54.0ms (0.5%)

Counts

11 → 2

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (neg.f64 (log.f64 1/10)) (log.f64 im)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))))
(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (log.f64 im))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))

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

Calls

2 calls:

28.0ms	im
19.0ms	re

Results

Error	Segments	Branch
6.7b	2	`re`
9.2b	4	`im`

Compiler

Compiled 91 to 73 computations (19.8% saved)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
34.0ms	-2.738045945763414e-31	-1.145923950736233e-32

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes33.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))

Outputs
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (log.f64 im) (log.f64 10))

Calls

2 calls:

17.0ms	im
14.0ms	re

Results

Error	Segments	Branch
6.7b	2	`re`
9.3b	4	`im`

Compiler

Compiled 40 to 30 computations (25% saved)

bsearch35.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	-2.738045945763414e-31	-1.145923950736233e-32

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 im) (log.f64 10))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))

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

Calls

2 calls:

5.0ms	re
4.0ms	im

Results

Error	Segments	Branch
29.8b	1	`re`
29.8b	1	`im`

Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	126
1	42	126
2	49	126
3	55	126
4	59	126
5	60	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (/.f64 (log.f64 im) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))

Outputs
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (neg.f64 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))
(if (<=.f64 re -6252591613781985/22835963083295358096932575511191922182123945984) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (/.f64 (log.f64 im) (log.f64 10)))
(/.f64 (log.f64 im) (log.f64 10))

Compiler

Compiled 91 to 77 computations (15.4% saved)

soundness8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	14	11
2	16	11

Stop Event

1×

saturated

Compiler

Compiled 23 to 17 computations (26.1% saved)

end73.0ms (0.7%)

Remove: (sort re im)
Compiler: Compiled 113 to 91 computations (19.5% saved)