Details

analyze224.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
18.7%	81.2%	0.1%	5
34.3%	65.6%	0.1%	6
54.6%	45.3%	0.1%	7
64.8%	35.1%	0.1%	8
76.1%	23.8%	0.1%	9
81.8%	18.1%	0.1%	10
87.7%	12.2%	0.1%	11
90.7%	9.2%	0.1%	12
93.7%	6.2%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (44.5%)

Results

1.3s

8256×

body

128

valid

preprocess17.0ms (0.6%)

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 14 to 10 computations (28.6% saved)

simplify6.0ms (0.2%)

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))

prune3.0ms (0.1%)

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

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize7.0ms (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))

series9.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_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 → 33

Calls

Call 1

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

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

Outputs

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

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-neg_binary64`
376×	`fma-def_binary64`
366×	`times-frac_binary64`
348×	`cancel-sign-sub-inv_binary64`
248×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	948
1	273	932
2	814	884
3	3517	884

Stop Event

1×	node limit

Counts

57 → 72

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

prune109.0ms (3.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	63	9	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	9	73

Error

0.0b

Counts

73 → 9

Alt Table

Status	Error	Program
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
▶	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
	0.6b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	1.2b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)
	16.8b	(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)
	0.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (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))))
	16.0b	(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))

Compiler

Compiled 1757 to 1306 computations (25.7% saved)

localize9.0ms (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)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite39.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
704×	`log1p-expm1-u_binary64`
704×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_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 → 49

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

Outputs

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

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

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-neg_binary64`
366×	`times-frac_binary64`
348×	`cancel-sign-sub-inv_binary64`
326×	`fma-def_binary64`
249×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	943
1	277	932
2	836	880
3	3467	880

Stop Event

1×	node limit

Counts

73 → 88

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

prune76.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	88	9	97

Error

Counts

97 → 9

Alt Table

Status	Error	Program
	48.5b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))
	0.6b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))
▶	0.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
	0.6b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1))
	1.2b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)

Compiler

Compiled 1957 to 1463 computations (25.2% saved)

localize10.0ms (0.3%)

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)))

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
195×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`
177×	`log-pow_binary64`
115×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	241	24
2	2931	24

Stop Event

1×	node limit

Counts

2 → 96

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 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2))))) (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 (cbrt.f64 (pow.f64 (log.f64 10) -1/2)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 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 (sqrt.f64 (log.f64 10)) -1/2) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -1/2) (*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -1/2) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.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) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.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) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (/.f64 1 (log.f64 10)))) (cbrt.f64 (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (sqrt.f64 (log.f64 10)) -1/2)) (pow.f64 (sqrt.f64 (log.f64 10)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(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 expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(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 +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (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 (log.f64 (hypot.f64 re im)) (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(neg.f64 (sqrt.f64 (log.f64 10))) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 1) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) -1) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (neg.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.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 expm1.f64 (log1p.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))))))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

548×	`times-frac_binary64`
379×	`associate-/r*_binary64`
377×	`associate-/l*_binary64`
283×	`associate-r_binary64`
277×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	2183
1	486	2156
2	1533	1880

Stop Event

1×	node limit

Counts

144 → 174

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

prune151.0ms (4.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	174	9	183

Error

Counts

183 → 9

Alt Table

Status	Error	Program
	48.5b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))
	0.6b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))
✓	0.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
▶	0.6b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1))
	1.2b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)

Compiler

Compiled 4424 to 3444 computations (22.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series33.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)
6.0ms	re	@	inf	(/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im)))
4.0ms	re	@	0	(pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)
2.0ms	re	@	inf	(pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)
2.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1)

rewrite59.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
95×	`pow1_binary64`
94×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	202	22
2	2367	22

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

403×	`fma-def_binary64`
355×	`times-frac_binary64`
340×	`associate-/r*_binary64`
306×	`associate-/l*_binary64`
200×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	423	5542
1	1471	5406

Stop Event

1×	node limit

Counts

124 → 168

Calls

Call 1

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

prune287.0ms (9.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	184	9	193

Error

Counts

193 → 9

Alt Table

Status	Error	Program
	48.5b	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))
	0.6b	(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log1p.f64 -9/10)))
✓	0.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
	0.7b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
	0.7b	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))
✓	0.6b	(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
✓	0.6b	(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (log.f64 (hypot.f64 re im))) -1))
	1.2b	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)

Compiler

Compiled 8994 to 6958 computations (22.6% saved)

regimes218.0ms (7.1%)

Accuracy

Total -47.6b remaining (-7625.5%)

Threshold costs -47.6b (-7625.5%)

Counts

36 → 1

Compiler

Compiled 512 to 317 computations (38.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	19	13
3	22	13
4	23	13

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(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))

end104.0ms (3.4%)

Stop Event

1×

fuel

Remove

(sort re im)

Compiler

Compiled 131 to 87 computations (33.6% saved)

Details

analyze224.0ms (7.3%)

sample1.4s (44.5%)

preprocess17.0ms (0.6%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite41.0ms (1.3%)

simplify44.0ms (1.4%)

prune109.0ms (3.6%)

localize9.0ms (0.3%)

series5.0ms (0.2%)

rewrite39.0ms (1.3%)

simplify40.0ms (1.3%)

prune76.0ms (2.5%)

localize10.0ms (0.3%)

series7.0ms (0.2%)

rewrite53.0ms (1.7%)

simplify51.0ms (1.7%)

prune151.0ms (4.9%)

localize9.0ms (0.3%)

series33.0ms (1.1%)

rewrite59.0ms (1.9%)

simplify84.0ms (2.7%)

prune287.0ms (9.4%)

regimes218.0ms (7.1%)

simplify2.0ms (0.1%)

end104.0ms (3.4%)

Profiling