Details

analyze60.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
77.4%	74.9%	21.9%	0.1%	3.1%	0%	0%	6
78.7%	74.9%	20.3%	0.1%	4.7%	0%	0%	7
80.7%	74.9%	18%	0.1%	7%	0%	0%	8
81.7%	74.9%	16.8%	0.1%	8.2%	0%	0%	9
82.9%	74.9%	15.4%	0.1%	9.6%	0%	0%	10
83.6%	74.9%	14.7%	0.1%	10.2%	0%	0%	11
84.3%	74.9%	14%	0.1%	11%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.0s (48.4%)

Results

936.0ms	6197×	body	256	valid
507.0ms	1348×	body	1024	valid
224.0ms	677×	body	1024	infinite
170.0ms	706×	body	512	valid
84.0ms	375×	body	512	infinite
66.0ms	535×	body	256	infinite
3.0ms	5×	body	2048	valid

Bogosity

preprocess18.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series18.0ms (0.4%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	re	@	-inf	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	im	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 1015 to 320 computations (68.5% saved)

rewrite37.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1324	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))

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

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/l*_binary64`
404×	`distribute-rgt-out_binary64`
351×	`fma-neg_binary64`
346×	`*-commutative_binary64`
251×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	154
1	77	121
2	247	88
3	1337	88
4	3238	88
5	4794	88

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Outputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) -1)
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))

eval2.0ms (0.1%)

Compiler: Compiled 107 to 43 computations (59.8% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Error

0.0b

Counts

15 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.7b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	37.3b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
▶	12.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 35 to 27 computations (22.9% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.3b	(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
✓	12.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series136.0ms (3.3%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	im	@	0	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
4.0ms	re	@	0	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
4.0ms	im	@	inf	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
3.0ms	im	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
3.0ms	re	@	inf	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 11130 to 6730 computations (39.5% saved)

rewrite48.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	184	19
2	1906	19

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)

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

Outputs

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

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

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64`
631×	`unswap-sqr_binary64`
471×	`exp-prod_binary64`
468×	`cube-prod_binary64`
438×	`fabs-mul_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	831
1	258	669
2	856	507
3	3713	507

Stop Event

1×	node limit

Counts

54 → 59

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) 1/3) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)) 1)
(.f64 (exp.f64 re) (.f64 (sin.f64 im) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(.f64 (sin.f64 im) (.f64 (exp.f64 re) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3) 1)
(.f64 1 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3))
(*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3/2) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 3) (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 3) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3))
(.f64 (.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) (exp.f64 re)) (sin.f64 im))
(.f64 (.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) (sin.f64 im)) (exp.f64 re))
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) 1) (.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2)) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(exp.f64 (*.f64 3 (+.f64 re (log.f64 (sin.f64 im)))))

Outputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) 1/3))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) 1/3) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (exp.f64 re) (.f64 (sin.f64 im) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (sin.f64 im) (.f64 (exp.f64 re) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 1 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (*.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 3/2) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 3) (*.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 3) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) (exp.f64 re)) (sin.f64 im))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2) (sin.f64 im)) (exp.f64 re))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) 1) (.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2)) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(.f64 (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 2) (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 6))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)
(exp.f64 (*.f64 3 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 1 (-.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1))
(+.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 0)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (sin.f64 im)))
✓	0.3b	(log.f64 (sin.f64 im))
✓	0.8b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 20 to 6 computations (70% saved)

series62.0ms (1.5%)

Counts

3 → 0

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	im	@	inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
19.0ms	im	@	-inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
3.0ms	re	@	0	(+.f64 re (log.f64 (sin.f64 im)))
1.0ms	im	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
1.0ms	re	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 1390 to 710 computations (48.9% saved)

rewrite57.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	142	21
2	1883	21

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(+.f64 re (log.f64 (sin.f64 im)))

Outputs

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

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

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

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
658×	`fma-def_binary64`
474×	`unswap-sqr_binary64`
337×	`distribute-rgt-in_binary64`
337×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1329
1	346	969
2	1388	824
3	7786	824

Stop Event

1×	node limit

Counts

75 → 87

Calls

Call 1

Inputs
(+.f64 1 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)
(.f64 1 (.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (.f64 (exp.f64 re) 1) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 1) (+.f64 re (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (log.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 0 (log.f64 (sin.f64 im)))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 im))) (log.f64 (sqrt.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (log.f64 (sin.f64 im))) 1)
(*.f64 (log.f64 (sin.f64 im)) 1)
(*.f64 1 (log.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (log.f64 (sin.f64 im)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 im))) 2)
(pow.f64 (pow.f64 (log.f64 (sin.f64 im)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 im))))
(log1p.f64 (-.f64 (sin.f64 im) 1))
(exp.f64 (log.f64 (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (+.f64 re (log.f64 (sin.f64 im)))) 1)
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (log.f64 (sin.f64 im)))) (/.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 re (log.f64 (sin.f64 im)))))
(*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(*.f64 1 (+.f64 re (log.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(*.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(.f64 (-.f64 (.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (/.f64 1 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))) (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))))
(/.f64 1 (/.f64 (-.f64 re (log.f64 (sin.f64 im))) (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (+.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 (.f64 re re) (.f64 re (log.f64 (sin.f64 im))))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))) (neg.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))) (neg.f64 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(pow.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 3)
(pow.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)
(sqrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 2))
(log.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(cbrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3))
(expm1.f64 (log1p.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(fma.f64 1 re (log.f64 (sin.f64 im)))
(fma.f64 1 (log.f64 (sin.f64 im)) re)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (sin.f64 im)))

Outputs
(+.f64 1 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
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(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 1 re (log.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 1 (log.f64 (sin.f64 im)) re)
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (+.f64 re (log.f64 (sin.f64 im))) 1))
(+.f64 re (log.f64 (sin.f64 im)))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.0b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)

Compiler

Compiled 28 to 9 computations (67.9% saved)

series50.0ms (1.2%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms	re	@	0	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms	re	@	inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms	re	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
1.0ms	im	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)

Compiler

Compiled 4800 to 2190 computations (54.4% saved)

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
626×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	179	18
2	1770	18

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

Outputs

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

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

simplify53.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

439×	`unswap-sqr_binary64`
338×	`fma-neg_binary64`
316×	`cube-prod_binary64`
285×	`fabs-mul_binary64`
277×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	772
1	236	616
2	744	460
3	2654	460
4	5403	460

Stop Event

1×	node limit

Counts

52 → 57

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4)) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (sin.f64 im)))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 1)
(.f64 1 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (exp.f64 re)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1/2))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/2))

Outputs
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4)) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1))
(+.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 0)
(*.f64 (exp.f64 re) (sin.f64 im))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 1 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (sqrt.f64 (exp.f64 re)) (sqrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/4) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(fabs.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1))
(+.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 0)
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

eval71.0ms (1.7%)

Compiler: Compiled 2628 to 936 computations (64.4% saved)

prune32.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	229	6	235

Error

0.0b

Counts

235 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.7b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
▶	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
▶	1.0b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	37.3b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	12.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 66 to 45 computations (31.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series78.0ms (1.9%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
2.0ms	re	@	inf	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
2.0ms	im	@	0	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
1.0ms	im	@	inf	(cbrt.f64 (sin.f64 im))
1.0ms	im	@	-inf	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 5965 to 3765 computations (36.9% saved)

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`pow1_binary64`
769×	`add-log-exp_binary64`
769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	197	31
2	2192	31

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

Inputs
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 im) 1/6) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 im) 1/6) (.f64 (pow.f64 (sin.f64 im) 1/6) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 im)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 im) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 2) (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 im)) re))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (sin.f64 im) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 re) 3) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (cbrt.f64 (sin.f64 im)))))))))

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
522×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
269×	`associate-+l+_binary64`
247×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	862
1	267	679
2	1012	497
3	2884	492

Stop Event

1×	node limit

Counts

63 → 80

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 im))) 1)
(*.f64 (cbrt.f64 (sin.f64 im)) 1)
(*.f64 1 (cbrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))
(*.f64 (pow.f64 (sin.f64 im) 1/6) (pow.f64 (sin.f64 im) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3))
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 im)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) 1)
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))
(.f64 (pow.f64 (sin.f64 im) 1/6) (.f64 (pow.f64 (sin.f64 im) 1/6) (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 im)))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 2) (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) (pow.f64 (sin.f64 im) 2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (+.f64 (log.f64 (sin.f64 im)) re))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 1)
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3))
(cbrt.f64 (*.f64 (sin.f64 im) (pow.f64 (exp.f64 re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (sin.f64 im)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))
(exp.f64 (+.f64 re (log.f64 (cbrt.f64 (sin.f64 im)))))

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 im))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (cbrt.f64 (sin.f64 im)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 1 (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (pow.f64 (sin.f64 im) 1/6) (pow.f64 (sin.f64 im) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) 4)
(pow.f64 (sin.f64 im) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (sin.f64 im)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (sin.f64 im)) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(.f64 (pow.f64 (sin.f64 im) 1/6) (.f64 (pow.f64 (sin.f64 im) 1/6) (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 im)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) 0)
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 2) (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) (pow.f64 (sin.f64 im) 2)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 (log.f64 (sin.f64 im)) re))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(-.f64 (+.f64 1 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 1)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 3)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))) 2)
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 2))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 3))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(cbrt.f64 (*.f64 (sin.f64 im) (pow.f64 (exp.f64 re) 3)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (sin.f64 im)))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (cbrt.f64 (sin.f64 im)))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 1))
(+.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)) 0)
(*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re))

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 im) (exp.f64 re))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
✓	0.3b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
✓	0.4b	(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))

Compiler

Compiled 43 to 12 computations (72.1% saved)

series147.0ms (3.5%)

Counts

4 → 0

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	re	@	-inf	(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
3.0ms	re	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
2.0ms	re	@	0	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
2.0ms	im	@	inf	(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
2.0ms	im	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))

Compiler

Compiled 12805 to 8020 computations (37.4% saved)

rewrite63.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
688×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	200	39
2	1990	39

Stop Event

1×	node limit

Counts

4 → 67

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(*.f64 (sin.f64 im) (exp.f64 re))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1/3) (pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 im)) (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (pow.f64 (cbrt.f64 (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (cbrt.f64 (sin.f64 im))) (cbrt.f64 (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 im) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (sin.f64 im))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 (sin.f64 im) (exp.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 re (log.f64 (sin.f64 im))))))))

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

405×	`fma-neg_binary64`
360×	`prod-exp_binary64`
333×	`sqr-pow_binary64`
333×	`fma-def_binary64`
319×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	1076
1	225	878
2	829	680
3	2245	680
4	5240	678

Stop Event

1×	node limit

Counts

67 → 65

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 1)
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1)
(.f64 1 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 2))
(.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/6))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1/3))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2))
(fabs.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/3))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)) 1)
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) 1)
(.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 2))
(.f64 (cbrt.f64 (sin.f64 im)) (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (pow.f64 (cbrt.f64 (exp.f64 re)) 2))
(.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/6))
(.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) (cbrt.f64 (sin.f64 im))) (cbrt.f64 (exp.f64 re)))
(.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)))
(exp.f64 (.f64 2 (.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/3)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 1 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1/6) (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1))
(+.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 0)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
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(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 0)
(*.f64 (sin.f64 im) (exp.f64 re))

eval51.0ms (1.2%)

Compiler: Compiled 3144 to 1060 computations (66.3% saved)

prune29.0ms (0.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	197	7	204

Error

Counts

204 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.7b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
▶	37.0b	(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	37.3b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	12.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 86 to 57 computations (33.7% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
✓	0.3b	(cbrt.f64 (sqrt.f64 (sin.f64 im)))
✓	0.3b	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2)
	0.6b	(cbrt.f64 (sin.f64 im))

Compiler

Compiled 63 to 15 computations (76.2% saved)

series506.0ms (12.2%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	im	@	0	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2)
6.0ms	im	@	0	(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
2.0ms	im	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2)
2.0ms	im	@	inf	(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2)
1.0ms	im	@	0	(cbrt.f64 (sqrt.f64 (sin.f64 im)))

Compiler

Compiled 31735 to 26575 computations (16.3% saved)

rewrite51.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`pow1_binary64`
543×	`add-log-exp_binary64`
543×	`log1p-expm1-u_binary64`
543×	`expm1-log1p-u_binary64`
527×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	160	19
2	1622	19

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs
(pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2)
(cbrt.f64 (sqrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 im) 1/6) (sqrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 im) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 im) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3) (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 im) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 im)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 im) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 im)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (sin.f64 im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 im) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 im) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 im) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 im) 1/6)))))))

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

simplify37.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-l_binary64`
427×	`associate-r_binary64`
389×	`fma-def_binary64`
386×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	669
1	173	543
2	525	438
3	3610	432

Stop Event

1×	node limit

Counts

51 → 65

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) 1)
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))
(*.f64 (pow.f64 (sin.f64 im) 1/6) (sqrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 im) 1/6)) 1)
(*.f64 (pow.f64 (sin.f64 im) 1/6) 1)
(*.f64 1 (pow.f64 (sin.f64 im) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 im) 1/6))
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3) (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3))
(pow.f64 (sin.f64 im) 1/6)
(pow.f64 (sqrt.f64 (sin.f64 im)) 1/3)
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 1)
(pow.f64 (cbrt.f64 (sin.f64 im)) 1/2)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (sin.f64 im)))
(fabs.f64 (pow.f64 (sin.f64 im) 1/6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 im) 1/6)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 im) 1/6)))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 im) 1/6)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 im) 1/6)))
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 im))) 1)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 im)) 2/3)
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)
(pow.f64 (cbrt.f64 (sin.f64 im)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(cbrt.f64 (sin.f64 im))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))

Outputs
(-.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) 1)
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))
(*.f64 (pow.f64 (sin.f64 im) 1/6) (sqrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (sin.f64 im) 1/6))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 1)
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(*.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (sin.f64 im))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 4))
(.f64 (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 4))
(sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 4))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
(pow.f64 (cbrt.f64 (sin.f64 im)) 2)
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2))))
(+.f64 (+.f64 1 (cbrt.f64 (pow.f64 (sin.f64 im) 2))) -1)
(+.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 0)
(cbrt.f64 (pow.f64 (sin.f64 im) 2))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 im) 1/6)) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 (pow.f64 (sin.f64 im) 1/6) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 1 (pow.f64 (sin.f64 im) 1/6))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) (cbrt.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6))
(cbrt.f64 (sqrt.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 im) 1/6))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(*.f64 (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3) (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/4)) (cbrt.f64 (pow.f64 (sin.f64 im) 1/4)))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 im) 1/4) 1/6) 4)
(pow.f64 (sin.f64 im) 1/6)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sqrt.f64 (sin.f64 im)) 1/3)
(cbrt.f64 (sqrt.f64 (sin.f64 im)))
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(pow.f64 (cbrt.f64 (sin.f64 im)) 1/2)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 1/6)) 3)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) 2)
(cbrt.f64 (sqrt.f64 (sin.f64 im)))
(sqrt.f64 (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(fabs.f64 (pow.f64 (sin.f64 im) 1/6))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(log.f64 (exp.f64 (pow.f64 (sin.f64 im) 1/6)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 im) 1/6)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 im) 1/6)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(exp.f64 (log.f64 (pow.f64 (sin.f64 im) 1/6)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 im) 1/6) 1))
(+.f64 (pow.f64 (sin.f64 im) 1/6) 0)
(pow.f64 (sin.f64 im) 1/6)
(-.f64 (+.f64 1 (cbrt.f64 (sin.f64 im))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sqrt.f64 (sin.f64 im)) 2/3)
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im))))
(pow.f64 (pow.f64 (sqrt.f64 (sin.f64 im)) 1/6) 4)
(pow.f64 (pow.f64 (sin.f64 im) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (sin.f64 im)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) 1/2)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 im))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)))
(fabs.f64 (cbrt.f64 (sin.f64 im)))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(cbrt.f64 (sin.f64 im))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 1 (-.f64 (cbrt.f64 (sin.f64 im)) 1))
(+.f64 (cbrt.f64 (sin.f64 im)) 0)
(cbrt.f64 (sin.f64 im))

eval31.0ms (0.8%)

Compiler: Compiled 2335 to 849 computations (63.6% saved)

prune20.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	119	7	126

Error

Counts

126 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.7b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	37.0b	(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
✓	1.0b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	37.3b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	12.9b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))

Compiler

Compiled 86 to 57 computations (33.7% saved)

regimes24.0ms (0.6%)

Accuracy

Total -42.7b remaining (-182089.7%)

Threshold costs -42.7b (-182089.7%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (sin.f64 im))) (cbrt.f64 (sqrt.f64 (sin.f64 im)))) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

Calls

5 calls:

7.0ms	im
4.0ms	(sin.f64 im)
4.0ms	re
4.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.0b	1	`re`
0.0b	1	`im`
0.0b	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
0.0b	1	`(exp.f64 re)`
0.0b	1	`(sin.f64 im)`

Compiler

Compiled 95 to 45 computations (52.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end14.0ms (0.3%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

Details

analyze60.0ms (1.4%)

sample2.0s (48.4%)

preprocess18.0ms (0.4%)

simplify6.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series18.0ms (0.4%)

rewrite37.0ms (0.9%)

simplify46.0ms (1.1%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

series136.0ms (3.3%)

rewrite48.0ms (1.1%)

simplify44.0ms (1.1%)

localize8.0ms (0.2%)

series62.0ms (1.5%)

rewrite57.0ms (1.4%)

simplify59.0ms (1.4%)

localize10.0ms (0.2%)

series50.0ms (1.2%)

rewrite48.0ms (1.2%)

simplify53.0ms (1.3%)

eval71.0ms (1.7%)

prune32.0ms (0.8%)

localize12.0ms (0.3%)

series78.0ms (1.9%)

rewrite58.0ms (1.4%)

simplify43.0ms (1%)

localize13.0ms (0.3%)

series147.0ms (3.5%)

rewrite63.0ms (1.5%)

simplify57.0ms (1.4%)

eval51.0ms (1.2%)

prune29.0ms (0.7%)

localize17.0ms (0.4%)

series506.0ms (12.2%)

rewrite51.0ms (1.2%)

simplify37.0ms (0.9%)

eval31.0ms (0.8%)

prune20.0ms (0.5%)

regimes24.0ms (0.6%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end14.0ms (0.3%)

Profiling