Details

analyze194.0ms (1.7%)

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)

sample2.7s (23.2%)

Results

2.6s

8256×

body

256

valid

Bogosity

preprocess31.0ms (0.3%)

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)

simplify15.0ms (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)

prune2.0ms (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

0.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series19.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite154.0ms (1.3%)

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))))))))

simplify105.0ms (0.9%)

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)))

eval118.0ms (1%)

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

prune53.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	56	14	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	15	71

Error

0.0b

Counts

71 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
▶	28.3b	(/.f64 (log.f64 im) (log.f64 10))
	0.6b	(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))
▶	0.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
▶	0.6b	(-.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)
	18.6b	(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
	1.1b	(*.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))))
▶	18.7b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
	18.3b	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.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)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
	33.8b	(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
▶	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
	0.7b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	18.3b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)

Compiler

Compiled 385 to 303 computations (21.3% saved)

localize29.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 14 computations (51.7% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	re	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))
1.0ms	im	@	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))
1.0ms	im	@	-inf	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
704×	`add-log-exp_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
689×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	160	14
2	1912	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

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

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-neg_binary64`
573×	`associate-/l/_binary64`
402×	`associate-/r/_binary64`
366×	`times-frac_binary64`
348×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	943
1	277	932
2	836	880
3	3485	862
4	7420	862

Stop Event

1×	node limit

Counts

70 → 85

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

series99.0ms (0.9%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
75.0ms	im	@	0	(/.f64 (log.f64 im) (log.f64 10))
15.0ms	im	@	-inf	(/.f64 (log.f64 im) (log.f64 10))
8.0ms	im	@	inf	(/.f64 (log.f64 im) (log.f64 10))

rewrite128.0ms (1.1%)

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))))))))

simplify81.0ms (0.7%)

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))

localize20.0ms (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)))
	0.6b	(/.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)))
1.0ms	im	@	0	(+.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	@	-inf	(+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))

rewrite82.0ms (0.7%)

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 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 (-.f64 1 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2)) 1) (-.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) (pow.f64 (hypot.f64 re im) (/.f64 1 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 2)))))) (#(struct:change 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simplify172.0ms (1.5%)

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))))))
(+.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))))))
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Outputs
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(-.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)))

localize62.0ms (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)))
	0.6b	(/.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)

series35.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	re	@	-inf	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
4.0ms	im	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))
4.0ms	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)))
3.0ms	re	@	0	(log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))

rewrite136.0ms (1.2%)

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

simplify149.0ms (1.3%)

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

localize47.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
✓	0.5b	(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 45 to 30 computations (33.3% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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	@	inf	(/.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)))

rewrite98.0ms (0.9%)

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

simplify129.0ms (1.1%)

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

eval1.3s (11%)

Compiler: Compiled 20357 to 15103 computations (25.8% saved)

prune510.0ms (4.4%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	816	21	837
Fresh	9	0	9
Picked	1	0	1
Done	3	2	5
Total	829	23	852

Error

Counts

852 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 3)) 1)
▶	0.6b	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
	0.7b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1))
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
✓	28.3b	(/.f64 (log.f64 im) (log.f64 10))
	41.2b	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 10))))
	0.7b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
▶	28.3b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	33.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
▶	18.3b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
	46.6b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))
	41.0b	(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 10)))
	28.3b	(pow.f64 (/.f64 (log.f64 10) (log.f64 im)) -1)
	28.4b	(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
	0.6b	(+.f64 (+.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) -1) 1)
	1.3b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 3) 1)
	28.3b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 1)
▶	33.7b	(neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
▶	28.3b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
	28.3b	(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))
	0.8b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)) 3)))
	0.7b	(neg.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 1/10)))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))

Compiler

Compiled 508 to 435 computations (14.4% saved)

localize130.0ms (1.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
✓	0.5b	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))

Compiler

Compiled 43 to 28 computations (34.9% saved)

series29.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	re	@	inf	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))
4.0ms	im	@	inf	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))
3.0ms	re	@	0	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))
3.0ms	re	@	-inf	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))
3.0ms	im	@	0	(/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im)))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`log-prod_binary64`
311×	`pow-prod-down_binary64`
309×	`pow2_binary64`
215×	`pow-to-exp_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	255	27
2	3204	27

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (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)) (/.f64 1 (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 (pow.f64 (log.f64 10) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10))) 1)))) 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(log.f64 10) -3/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (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 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 10) -3/2) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (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)) (/.f64 1 (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)) (/.f64 1 (log.f64 10))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 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simplify319.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-*l/_binary64`
382×	`distribute-lft-in_binary64`
382×	`distribute-rgt-in_binary64`
328×	`fma-def_binary64`
208×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	3056
1	959	2890
2	3795	2696

Stop Event

1×	node limit

Counts

144 → 185

Calls

Call 1

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

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series85.0ms (0.7%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
82.0ms	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))

rewrite74.0ms (0.6%)

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	8
1	120	8
2	1451	8

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

((#(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))))))))

simplify100.0ms (0.9%)

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 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))

localize79.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 34 computations (15% saved)

series59.0ms (0.5%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	re	@	0	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
18.0ms	re	@	inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
12.0ms	re	@	-inf	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`pow1_binary64`
714×	`add-log-exp_binary64`
713×	`log1p-expm1-u_binary64`
713×	`expm1-log1p-u_binary64`
700×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	162	11
2	1932	11

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))

Outputs

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

212×	`fma-def_binary64`
156×	`fma-neg_binary64`
67×	`distribute-rgt-in_binary64`
55×	`cancel-sign-sub-inv_binary64`
54×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	120
1	22	104
2	30	104
3	47	104
4	71	104
5	127	104
6	205	104
7	347	104
8	610	104
9	1023	104
10	1068	104
11	1099	104
12	1104	104

Stop Event

1×

saturated

Counts

40 → 35

Calls

Call 1

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

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

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
	0.5b	(/.f64 (log.f64 im) (log.f64 10))
✓	0.6b	(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
1.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
1.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
0.0ms	im	@	-inf	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
0.0ms	im	@	0	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
704×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	191	19
2	2048	19

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

780×	`div-sub_binary64`
712×	`times-frac_binary64`
561×	`associate-/l*_binary64`
332×	`associate-/r*_binary64`
246×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	264
1	68	264
2	227	264
3	1042	228
4	6135	228

Stop Event

1×	node limit

Counts

102 → 85

Calls

Call 1

Inputs
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.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 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(*.f64 -1 (/.f64 (pow.f64 (log.f64 (/.f64 1 im)) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 10) 3))
(pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3)
(/.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))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))
✓	0.4b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))

Compiler

Compiled 40 to 21 computations (47.5% saved)

series22.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	re	@	0	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
2.0ms	re	@	inf	(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))
2.0ms	re	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
2.0ms	im	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
2.0ms	im	@	0	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`pow1_binary64`
849×	`add-log-exp_binary64`
848×	`expm1-log1p-u_binary64`
847×	`log1p-expm1-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	229	35
2	2374	35

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9))) 2)
(sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))

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 1/10)))))) (#(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 (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 (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))) (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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (*.f64 (cbrt.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 (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 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 1/10))))))) (#(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 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 1/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 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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 (/.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 1/10))))))) (#(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 (+.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 1/10)))))) (#(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 (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 (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))) (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 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (*.f64 (cbrt.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 (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 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 1/10))))))) (#(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 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 1/10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4)) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 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im)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (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 1/10))))))) (#(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 (+.f64 1 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.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))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (cbrt.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))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (/.f64 -1 (log.f64 1/10)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.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)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))))

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-*l/_binary64`
350×	`associate-/l/_binary64`
288×	`fma-def_binary64`
250×	`distribute-rgt-in_binary64`
248×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	4549
1	1045	4428
2	3730	4310

Stop Event

1×	node limit

Counts

179 → 186

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 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (log.f64 10) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 -1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 10) (pow.f64 im 4)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 im)))) (/.f64 1 (pow.f64 im 2)))) 2)))) (pow.f64 re 4)) (.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 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (log.f64 10) (.f64 (log.f64 im) (pow.f64 im 4))))) (.f64 -1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 10) (pow.f64 im 4)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 im)))) (/.f64 1 (pow.f64 im 2)))) 2)))) (pow.f64 re 4)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) (.f64 (log.f64 10) (pow.f64 im 2)))) (.f64 1/6 (/.f64 (pow.f64 re 6) (.f64 (log.f64 10) (pow.f64 im 6)))))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 re))) (log.f64 10))
(+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (pow.f64 (sqrt.f64 -1) 2) (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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 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 (log.f64 re) (log.f64 10)))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 10) (pow.f64 re 4)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 10) (.f64 (log.f64 re) (pow.f64 re 4)))))) (pow.f64 im 4)) (+.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 (+.f64 (.f64 -1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (log.f64 10) (pow.f64 re 4)))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 re)))) (/.f64 1 (pow.f64 re 2)))) 2))) (.f64 1/16 (/.f64 1 (.f64 (log.f64 10) (.f64 (log.f64 re) (pow.f64 re 4)))))) (pow.f64 im 4)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (+.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 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 im))) (log.f64 10))
(+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 im))) (log.f64 10))
(+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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 (.f64 (pow.f64 (sqrt.f64 -1) 2) (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)))))))
(sqrt.f64 (/.f64 (log.f64 im) (log.f64 10)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))))
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(sqrt.f64 (/.f64 (log.f64 re) (log.f64 10)))
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Outputs
(/.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)))))
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(fma.f64 1/2 (/.f64 re (/.f64 (.f64 (log.f64 10) (.f64 im im)) re)) (/.f64 (log.f64 im) (log.f64 10)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10)))
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(+.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 10) (neg.f64 (log.f64 im)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 10))) (.f64 -1/4 (/.f64 (.f64 (.f64 re re) (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (neg.f64 (log.f64 im))))) (/.f64 re (/.f64 (sqrt.f64 -1) re)))) 2))) (neg.f64 (log.f64 im))))) (.f64 (pow.f64 im 6) (sqrt.f64 -1)))) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (neg.f64 (log.f64 im))))) (/.f64 re (/.f64 (sqrt.f64 -1) re)))) 2)) (.f64 (pow.f64 im 4) (sqrt.f64 -1)))))) (fma.f64 1/4 (.f64 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (neg.f64 (log.f64 im)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 10))))))
(+.f64 (.f64 1/2 (.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 10) (neg.f64 (log.f64 im)))) (sqrt.f64 -1)) (+.f64 (/.f64 (fma.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) 120) (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 (/.f64 -1/4 (log.f64 10)) (pow.f64 re 4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 im) (neg.f64 (log.f64 10))))) (.f64 1/4 (.f64 (/.f64 re (sqrt.f64 -1)) re))) 2)) (log.f64 im)) (.f64 re re)))) (pow.f64 im 6)) (/.f64 (-.f64 (.f64 (/.f64 -1/4 (log.f64 10)) (pow.f64 re 4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 im) (neg.f64 (log.f64 10))))) (.f64 1/4 (.f64 (/.f64 re (sqrt.f64 -1)) re))) 2)) (pow.f64 im 4))))) (fma.f64 1/4 (.f64 (.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 im) (neg.f64 (log.f64 10))))) (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 10))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (.f64 (sqrt.f64 -1) (pow.f64 im 2))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))
(fma.f64 1/4 (.f64 (/.f64 re (.f64 (.f64 im im) (/.f64 (sqrt.f64 -1) re))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (.f64 (sqrt.f64 -1) (pow.f64 im 2))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)) (.f64 (sqrt.f64 -1) (pow.f64 im 4))) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 (.f64 1/4 (/.f64 (.f64 re re) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) 2)) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (*.f64 (pow.f64 im 4) (sqrt.f64 -1))))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 re (/.f64 (sqrt.f64 -1) re)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)) (/.f64 (.f64 (pow.f64 im 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))))
(fma.f64 1/4 (.f64 (/.f64 re (.f64 (.f64 im im) (/.f64 (sqrt.f64 -1) re))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 (/.f64 -1/4 (log.f64 10)) (pow.f64 re 4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (.f64 1/4 (.f64 (/.f64 re (sqrt.f64 -1)) re))) 2)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))) (pow.f64 im 4))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))))
(+.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (.f64 (sqrt.f64 -1) (pow.f64 im 2))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (pow.f64 re 6)) (.f64 90 (pow.f64 re 6))) (log.f64 10))) (.f64 1/4 (/.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)) (pow.f64 re 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 -1 im)))))) (.f64 (sqrt.f64 -1) (pow.f64 im 6))) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 (pow.f64 re 2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 im 4))) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 re re) (.f64 (.f64 im im) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) (fma.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 10))) (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 (.f64 1/4 (/.f64 (.f64 re re) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) 2)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 (.f64 re re) (log.f64 (/.f64 -1 im)))))) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (.f64 (pow.f64 im 6) (sqrt.f64 -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 (.f64 1/4 (/.f64 (.f64 re re) (sqrt.f64 -1))) (sqrt.f64 (/.f64 (/.f64 1 (log.f64 10)) (log.f64 (/.f64 -1 im))))) 2)) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (.f64 (pow.f64 im 4) (sqrt.f64 -1)))))))
(fma.f64 1/4 (.f64 (.f64 (/.f64 re (.f64 im im)) (/.f64 re (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))) (/.f64 (-.f64 (.f64 1/720 (/.f64 (.f64 (pow.f64 re 6) 120) (log.f64 10))) (.f64 -1/4 (/.f64 (.f64 re (.f64 re (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 re (/.f64 (sqrt.f64 -1) re)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)))) (log.f64 (/.f64 -1 im))))) (.f64 (pow.f64 im 6) (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 (.f64 -1/4 (/.f64 (pow.f64 re 4) (log.f64 10))) (pow.f64 (.f64 1/4 (.f64 (/.f64 re (/.f64 (sqrt.f64 -1) re)) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))))) 2)) (/.f64 (.f64 (pow.f64 im 4) (sqrt.f64 -1)) (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))))))
(fma.f64 1/4 (.f64 (/.f64 re (.f64 (.f64 im im) (/.f64 (sqrt.f64 -1) re))) (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))) (.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (/.f64 -1 im)))) 1/2) (+.f64 (/.f64 (-.f64 (.f64 (/.f64 -1/4 (log.f64 10)) (pow.f64 re 4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (.f64 1/4 (.f64 (/.f64 re (sqrt.f64 -1)) re))) 2)) (.f64 (pow.f64 im 4) (sqrt.f64 -1))) (/.f64 (fma.f64 1/720 (.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) 120) (.f64 1/4 (/.f64 (.f64 re (.f64 re (-.f64 (.f64 (/.f64 -1/4 (log.f64 10)) (pow.f64 re 4)) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (log.f64 10) (log.f64 (/.f64 -1 im))))) (.f64 1/4 (.f64 (/.f64 re (sqrt.f64 -1)) re))) 2)))) (log.f64 (/.f64 -1 im))))) (*.f64 (pow.f64 im 6) (sqrt.f64 -1)))))))

eval540.0ms (4.7%)

Compiler: Compiled 15115 to 11784 computations (22% saved)

prune113.0ms (1%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	570	17	587
Fresh	10	6	16
Picked	1	0	1
Done	1	5	6
Total	582	28	610

Error

Counts

610 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	18.3b	(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))) 2)
▶	41.2b	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
	41.0b	(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log1p.f64 9) (sqrt.f64 (log.f64 im))))
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
✓	28.3b	(/.f64 (log.f64 im) (log.f64 10))
	28.3b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1))
	33.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
▶	0.7b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
✓	28.3b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	28.3b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
	33.8b	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (log.f64 (/.f64 -1 re))))
✓	28.3b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 10)) 3))
	51.4b	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 1/10)))))
▶	28.3b	(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 1/10))) 1))
	33.9b	(neg.f64 (.f64 -1 (.f64 (/.f64 -1 (log.f64 10)) (log.f64 (/.f64 -1 re)))))
	28.2b	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 im)))
▶	33.8b	(neg.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3))))
▶	28.4b	(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
	39.9b	(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))) 2)
	28.3b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)
	28.3b	(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))
	28.4b	(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 1/10)) 3)))
	0.7b	(neg.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 1/10)))))
	28.3b	(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)) 3))
	1.3b	(-.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 9)))) 3) 1)
✓	33.7b	(neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
	33.8b	(neg.f64 (*.f64 -1 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (/.f64 -1 re))) -1)))

Compiler

Compiled 592 to 524 computations (11.5% saved)

localize18.0ms (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)

series10.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

simplify99.0ms (0.9%)

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

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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(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 -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))))))
(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)))))
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(-.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 (pow.f64 re 4) (.f64 (/.f64 (log.f64 10) (pow.f64 im 4)) (+.f64 (/.f64 -1/4 (pow.f64 (log.f64 im) 3)) (/.f64 -1/4 (pow.f64 (log.f64 im) 2))))))
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(*.f64 -1 (/.f64 (log.f64 10) (log.f64 (/.f64 1 re))))
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(fma.f64 -1 (/.f64 (log.f64 10) (neg.f64 (log.f64 re))) (/.f64 (.f64 -1/2 (.f64 (log.f64 10) (.f64 im im))) (.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) 2))))
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(-.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 (neg.f64 (log.f64 re)) (log.f64 10)))
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 im (/.f64 (.f64 re re) im)) (log.f64 10)) (/.f64 (log.f64 re) (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 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 (neg.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)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 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 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (.f64 1/2 (/.f64 (/.f64 im (/.f64 (.f64 re re) im)) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.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))))))
(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))) (/.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 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (pow.f64 re 4)) (.f64 1/2 (/.f64 (/.f64 im (/.f64 (.f64 re re) im)) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.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)))))))
(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))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) (.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(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)))
(+.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 -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))))
(+.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 1/720 (/.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 -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 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)))
(+.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 -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)))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
✓	1.0b	(/.f64 1 (log.f64 10))

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	154	14
2	1711	14

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

959×	`div-sub_binary64`
591×	`fma-def_binary64`
559×	`fma-neg_binary64`
417×	`distribute-rgt-in_binary64`
399×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	32	96
2	47	96
3	99	96
4	219	96
5	665	96
6	2151	96
7	4866	96
8	6244	96
9	7118	96

Stop Event

1×	node limit

Counts

56 → 46

Calls

Call 1

Inputs
(/.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 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))

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (log.f64 im) (log.f64 1/10)))
	0.5b	(/.f64 (log.f64 im) (log.f64 1/10))
	1.0b	(log.f64 1/10)

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`pow1_binary64`
762×	`add-log-exp_binary64`
762×	`log1p-expm1-u_binary64`
762×	`expm1-log1p-u_binary64`
748×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2047	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify127.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

601×	`distribute-lft-out--_binary64`
455×	`unsub-neg_binary64`
414×	`fma-def_binary64`
413×	`associate-*l/_binary64`
324×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	43	132
2	75	132
3	150	132
4	339	132
5	891	132
6	2596	132
7	3907	132
8	5211	132
9	6227	132
10	6782	132
11	7140	132
12	7636	132

Stop Event

1×	node limit

Counts

43 → 34

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

series62.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	im	@	-inf	(log.f64 (/.f64 (log.f64 im) (log1p.f64 9)))
16.0ms	im	@	0	(log.f64 (/.f64 (log.f64 im) (log1p.f64 9)))
14.0ms	im	@	inf	(log.f64 (/.f64 (log.f64 im) (log1p.f64 9)))
8.0ms	im	@	0	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log1p.f64 9))))
1.0ms	im	@	inf	(exp.f64 (log.f64 (/.f64 (log.f64 im) (log1p.f64 9))))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`expm1-log1p-u_binary64`
606×	`log1p-expm1-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	148	26
2	1653	26

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

simplify247.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

723×	`div-sub_binary64`
659×	`fma-neg_binary64`
481×	`distribute-rgt-in_binary64`
349×	`distribute-lft-in_binary64`
334×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	312
1	42	312
2	65	312
3	130	312
4	294	312
5	851	312
6	2615	312
7	5002	312
8	5936	312
9	6487	312
10	6904	312
11	7317	312
12	7799	312

Stop Event

1×	node limit

Counts

141 → 76

Calls

Call 1

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

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

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3))
	0.4b	(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
✓	0.5b	(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
	1.0b	(log.f64 1/10)

Compiler

Compiled 66 to 58 computations (12.1% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
1.0ms	re	@	inf	(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
1.0ms	re	@	-inf	(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
0.0ms	re	@	0	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3))
0.0ms	re	@	inf	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3))

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
905×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	233	25
2	2529	25

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3))

Outputs

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

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

598×	`fma-def_binary64`
595×	`distribute-rgt-in_binary64`
562×	`associate-/l*_binary64`
556×	`distribute-lft-in_binary64`
426×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	432
1	59	336
2	162	336
3	449	300
4	1722	300

Stop Event

1×	node limit

Counts

105 → 87

Calls

Call 1

Inputs
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))

Outputs
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (pow.f64 (log.f64 (/.f64 -1 re)) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) 3) (pow.f64 (log.f64 1/10) 3))
(pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) 3)
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 re))) (log.f64 1/10))

eval256.0ms (2.2%)

Compiler: Compiled 9805 to 7844 computations (20% saved)

prune86.0ms (0.7%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	486	9	495
Fresh	9	9	18
Picked	1	0	1
Done	3	6	9
Total	499	24	523

Error

Counts

523 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log1p.f64 9)))
	18.3b	(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))))) 2)
✓	28.3b	(/.f64 (log.f64 im) (log.f64 10))
	28.3b	(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 10)) 1))
	0.7b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (log.f64 (hypot.f64 re im))))))
✓	0.6b	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
	33.8b	(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
	28.3b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 im)) -1))
	33.8b	(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
	33.8b	(neg.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log1p.f64 -9/10)) 3))))
✓	0.7b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 (hypot.f64 re im))))
✓	28.3b	(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
	28.3b	(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
	0.7b	(*.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))))
	33.9b	(neg.f64 (.f64 -1 (.f64 (/.f64 -1 (log.f64 10)) (log.f64 (/.f64 -1 re)))))
✓	33.7b	(neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
	33.8b	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (log.f64 (/.f64 -1 re))))
	28.1b	(*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (log.f64 im))
✓	28.4b	(*.f64 (/.f64 1 (log.f64 10)) (log.f64 im))
	39.9b	(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))) 2)
	28.3b	(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)
	28.3b	(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))
	0.7b	(neg.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 1/10)))))
	28.3b	(neg.f64 (log.f64 (pow.f64 im (/.f64 1 (log.f64 1/10)))))

Compiler

Compiled 273 to 242 computations (11.4% saved)

regimes292.0ms (2.5%)

Counts

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

Outputs
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))

Calls

10 calls:

33.0ms	im
33.0ms	re
31.0ms	(+.f64 (.f64 re re) (.f64 im im))
30.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))
28.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Error	Segments	Branch
0.6b	1	`re`
0.6b	1	`im`
0.6b	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))`
0.6b	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0.6b	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0.6b	1	`(+.f64 (.f64 re re) (.f64 im im))`
0.6b	1	`(*.f64 re re)`
0.6b	1	`(*.f64 re re)`
0.6b	1	`(*.f64 im im)`
0.6b	1	`(*.f64 im im)`

Compiler

Compiled 718 to 503 computations (29.9% saved)

regimes267.0ms (2.3%)

Counts

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

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

Calls

10 calls:

30.0ms	im
30.0ms	re
28.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
25.0ms	(+.f64 (.f64 re re) (.f64 im im))
24.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

Error	Segments	Branch
0.6b	1	`re`
0.6b	1	`im`
0.6b	1	`(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 10))`
0.6b	1	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0.6b	1	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0.6b	1	`(+.f64 (.f64 re re) (.f64 im im))`
0.6b	1	`(*.f64 re re)`
0.6b	1	`(*.f64 re re)`
0.6b	1	`(*.f64 im im)`
0.6b	1	`(*.f64 im im)`

Compiler

Compiled 635 to 455 computations (28.3% saved)

regimes32.0ms (0.3%)

Counts

21 → 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 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 10)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 1)
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 1/10))) 1))
(neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))))
(neg.f64 (.f64 -1 (.f64 (/.f64 -1 (log.f64 10)) (log.f64 (/.f64 -1 re)))))
(neg.f64 (.f64 -1 (.f64 (/.f64 -1 (log.f64 10)) (log.f64 (/.f64 -1 re)))))
(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)))))

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

Calls

2 calls:

12.0ms	re
11.0ms	im

Results

Error	Segments	Branch
0.6b	1	`re`
0.6b	1	`im`

Compiler

Compiled 185 to 151 computations (18.4% saved)

regimes51.0ms (0.4%)

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

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

Calls

2 calls:

27.0ms	re
18.0ms	im

Results

Error	Segments	Branch
8.6b	2	`re`
9.1b	2	`im`

Compiler

Compiled 162 to 133 computations (17.9% saved)

bsearch32.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
32.0ms	-1.8802694785784264e-82	-5.063044898999612e-83

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes105.0ms (0.9%)

Counts

14 → 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 (/.f64 1 (log.f64 10)) (log.f64 im))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (log.f64 1/10)))
(+.f64 1 (-.f64 (/.f64 (log.f64 im) (log.f64 10)) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log1p.f64 9))) 1)
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 10))) 1)
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (log.f64 (/.f64 -1 re))))
(neg.f64 (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 1/10))) 1))

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

Calls

2 calls:

62.0ms	re
38.0ms	im

Results

Error	Segments	Branch
8.6b	2	`re`
9.2b	2	`im`

Compiler

Compiled 121 to 97 computations (19.8% saved)

bsearch59.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
59.0ms	-1.8802694785784264e-82	-5.063044898999612e-83

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes20.0ms (0.2%)

Counts

4 → 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 (/.f64 1 (log.f64 10)) (log.f64 im))

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

Calls

2 calls:

9.0ms	im
8.0ms	re

Results

Error	Segments	Branch
28.3b	1	`re`
28.3b	1	`im`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes17.0ms (0.2%)

Accuracy

Total -0.2b remaining (-0.8%)

Threshold costs -0.2b (-0.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	im
7.0ms	re

Results

Error	Segments	Branch
28.3b	1	`re`
28.3b	1	`im`

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`neg-sub0_binary64`
9×	`distribute-rgt-neg-in_binary64`
9×	`neg-mul-1_binary64`
8×	`cancel-sign-sub-inv_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	135
1	59	132
2	79	132
3	100	132
4	111	132
5	118	132
6	126	132
7	132	132

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (log.f64 im) (log.f64 10))

Outputs
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (neg.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)))) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (*.f64 1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10))) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 1/10)) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(if (<=.f64 re -6425969968450061/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10)) (/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im))))
(/.f64 1 (/.f64 (log1p.f64 9) (log.f64 im)))
(neg.f64 (/.f64 (log.f64 im) (log.f64 1/10)))
(/.f64 (neg.f64 (log.f64 im)) (log.f64 1/10))
(/.f64 (log.f64 im) (log.f64 10))

Compiler

Compiled 99 to 84 computations (15.2% saved)

soundness14.0ms (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)

end171.0ms (1.5%)

Remove: (sort re im)
Compiler: Compiled 115 to 88 computations (23.5% saved)