Details

analyze84.0ms (1.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample3.1s (41.3%)

Results

1.3s	6208×	body	256	valid
1.0s	1359×	body	1024	valid
389.0ms	701×	body	1024	invalid
180.0ms	688×	body	512	valid
116.0ms	322×	body	512	invalid
54.0ms	405×	body	256	invalid
1.0ms	1×	body	2048	valid

preprocess51.0ms (0.7%)

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) (cos.f64 im))
(*.f64 (exp.f64 im) (cos.f64 re))

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.2%)

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) (cos.f64 im))

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

eval1.0ms (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) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series9.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	re	@	-inf	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	re	@	0	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	im	@	0	(cos.f64 im)
1.0ms	im	@	0	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite85.0ms (1.1%)

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	11
1	113	11
2	1324	11

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

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

Outputs

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

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

simplify135.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

945×	`fma-def_binary64`
678×	`associate-l_binary64`
650×	`distribute-lft-out_binary64`
612×	`distribute-rgt-out_binary64`
462×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	49	204
1	131	200
2	331	182
3	1047	165
4	3921	160
5	6575	160
6	7086	160
7	7519	160

Stop Event

1×	node limit

Counts

39 → 48

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 -1/2 (.f64 im im)))
(fma.f64 -1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 1) (.f64 1/24 (pow.f64 im 4)))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (fma.f64 -1/720 (pow.f64 im 6) 1)))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 -1/720 (pow.f64 im 6) (fma.f64 1/24 (pow.f64 im 4) 1)))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 1 (fma.f64 1/2 (.f64 re re) re)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 (+.f64 re 1) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 (cos.f64 im) (+.f64 (fma.f64 1/6 (pow.f64 re 3) 1) (fma.f64 1/2 (.f64 re re) re)))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (exp.f64 re))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (exp.f64 re))
(.f64 (fma.f64 -1/2 (.f64 im im) 1) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (exp.f64 re)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (exp.f64 re)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (+.f64 (exp.f64 re) (.f64 -1/720 (*.f64 (pow.f64 im 6) (exp.f64 re))))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (fma.f64 -1/720 (.f64 (pow.f64 im 6) (exp.f64 re)) (exp.f64 re))))
(+.f64 (.f64 (fma.f64 1/24 (pow.f64 im 4) 1) (exp.f64 re)) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6))))))
(.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 -1/720 (pow.f64 im 6) (fma.f64 1/24 (pow.f64 im 4) 1))))

eval22.0ms (0.3%)

Compiler: Compiled 500 to 253 computations (49.4% saved)

prune33.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))
▶	21.9b	(cos.f64 im)
▶	0.2b	(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	18.5b	(exp.f64 re)
▶	21.8b	(*.f64 (cos.f64 im) (+.f64 1 re))

Compiler

Compiled 79 to 61 computations (22.8% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))
	0.0b	(cos.f64 im)
✓	0.1b	(exp.f64 (cos.f64 im))
✓	0.3b	(log.f64 (exp.f64 (cos.f64 im)))

Compiler

Compiled 22 to 7 computations (68.2% saved)

series28.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	im	@	-inf	(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))
1.0ms	im	@	0	(exp.f64 (cos.f64 im))
1.0ms	im	@	0	(log.f64 (exp.f64 (cos.f64 im)))
1.0ms	im	@	-inf	(exp.f64 (cos.f64 im))
0.0ms	re	@	-inf	(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))

rewrite81.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
545×	`add-log-exp_binary64`
545×	`log1p-expm1-u_binary64`
545×	`expm1-log1p-u_binary64`
531×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	136	16
2	1509	16

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

Inputs
(log.f64 (exp.f64 (cos.f64 im)))
(exp.f64 (cos.f64 im))
(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))

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

Outputs

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

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

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

simplify157.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

401×	`*-commutative_binary64`
385×	`cube-div_binary64`
374×	`fabs-div_binary64`
371×	`cube-prod_binary64`
369×	`sqr-pow_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	430
1	177	426
2	452	405
3	1430	388
4	2146	384
5	3027	384
6	3224	384
7	3510	384
8	4008	384
9	5668	384
10	6625	384

Stop Event

1×	node limit

Counts

89 → 79

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (exp.f64 1))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 1) (pow.f64 im 4))) (exp.f64 1)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 1) (pow.f64 im 4))) (+.f64 (.f64 -31/720 (.f64 (exp.f64 1) (pow.f64 im 6))) (exp.f64 1))))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (.f64 -1/2 (.f64 im im)))
(fma.f64 -1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 1) (.f64 1/24 (pow.f64 im 4)))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 1 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6))))
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (.f64 im im) (E.f64)) (E.f64))
(.f64 (fma.f64 -1/2 (.f64 im im) 1) (E.f64))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 1) (pow.f64 im 4))) (exp.f64 1)))
(fma.f64 -1/2 (.f64 (.f64 im im) (E.f64)) (fma.f64 1/6 (*.f64 (pow.f64 im 4) (E.f64)) (E.f64)))
(fma.f64 (pow.f64 im 4) (.f64 (E.f64) 1/6) (.f64 (fma.f64 -1/2 (*.f64 im im) 1) (E.f64)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (*.f64 (pow.f64 im 4) 1/6)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 1) (pow.f64 im 2))) (+.f64 (.f64 1/6 (.f64 (exp.f64 1) (pow.f64 im 4))) (+.f64 (.f64 -31/720 (.f64 (exp.f64 1) (pow.f64 im 6))) (exp.f64 1))))
(fma.f64 -1/2 (.f64 (.f64 im im) (E.f64)) (fma.f64 1/6 (.f64 (pow.f64 im 4) (E.f64)) (fma.f64 -31/720 (.f64 (pow.f64 im 6) (E.f64)) (E.f64))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 im im) 1) (E.f64)) (.f64 (E.f64) (+.f64 (.f64 (pow.f64 im 4) 1/6) (*.f64 (pow.f64 im 6) -31/720))))
(fma.f64 (pow.f64 im 4) (.f64 (E.f64) 1/6) (.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (.f64 (pow.f64 im 6) -31/720))))
(.f64 (E.f64) (+.f64 (+.f64 (.f64 (pow.f64 im 4) 1/6) (.f64 (pow.f64 im 6) -31/720)) (fma.f64 -1/2 (.f64 im im) 1)))
(.f64 (E.f64) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (+.f64 (.f64 (pow.f64 im 4) 1/6) (.f64 (pow.f64 im 6) -31/720))))
(.f64 (E.f64) (+.f64 (.f64 (pow.f64 im 6) -31/720) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (.f64 (pow.f64 im 4) 1/6))))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 (+.f64 re 1) (cos.f64 im))))
(fma.f64 (cos.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 1/6 (pow.f64 re 3)))))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (exp.f64 re))
(.f64 (fma.f64 -1/2 (.f64 im im) 1) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (exp.f64 re)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (+.f64 (exp.f64 re) (.f64 -1/720 (*.f64 (pow.f64 im 6) (exp.f64 re))))))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (fma.f64 -1/720 (.f64 (pow.f64 im 6) (exp.f64 re)) (exp.f64 re))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 im im) 1) (exp.f64 re)) (.f64 (exp.f64 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6))))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6)))))
(.f64 (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6)))) (exp.f64 re))
(.f64 (+.f64 1 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6))))) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)

Compiler

Compiled 5 to 3 computations (40% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
✓	0.0b	(*.f64 (cos.f64 im) (+.f64 1 re))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(*.f64 (cos.f64 im) (+.f64 1 re))
1.0ms	im	@	0	(*.f64 (cos.f64 im) (+.f64 1 re))
1.0ms	re	@	inf	(*.f64 (cos.f64 im) (+.f64 1 re))
0.0ms	im	@	inf	(*.f64 (cos.f64 im) (+.f64 1 re))
0.0ms	re	@	-inf	(*.f64 (cos.f64 im) (+.f64 1 re))

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	145	9
2	1890	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (cos.f64 im) (+.f64 1 re))

Outputs

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

simplify123.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
759×	`distribute-rgt-out_binary64`
625×	`distribute-rgt-in_binary64`
620×	`distribute-lft-in_binary64`
533×	`associate-l_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	29	232
1	73	226
2	248	214
3	904	207
4	3921	207
5	6225	207
6	6407	207
7	6646	207
8	6865	207
9	7138	203

Stop Event

1×	node limit

Counts

46 → 37

Calls

Call 1

Inputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))

Outputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re))
(fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) (+.f64 1 re))
(.f64 (+.f64 1 re) (fma.f64 -1/2 (.f64 im im) 1))
(.f64 (+.f64 1 re) (fma.f64 im (.f64 -1/2 im) 1))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im))))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4)) 1))
(fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) (+.f64 1 re)))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (*.f64 1/24 (pow.f64 im 4))))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (*.f64 im im)) (fma.f64 1/24 (pow.f64 im 4) 1)))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im)))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) 1)))
(fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) (+.f64 1 re))))
(fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (*.f64 1/24 (pow.f64 im 4)))))
(fma.f64 (+.f64 1 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6))) (.f64 (+.f64 1 re) (fma.f64 im (*.f64 -1/2 im) 1)))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6)))))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))
	0.0b	(cos.f64 im)
✓	0.3b	(-.f64 (+.f64 1 (cos.f64 im)) 1)
✓	0.5b	(+.f64 1 (cos.f64 im))

Compiler

Compiled 28 to 16 computations (42.9% saved)

series4.0ms (0%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(+.f64 1 (cos.f64 im))
0.0ms	im	@	inf	(+.f64 1 (cos.f64 im))
0.0ms	im	@	-inf	(+.f64 1 (cos.f64 im))
0.0ms	im	@	0	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))
0.0ms	re	@	0	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))

rewrite97.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	189	17
2	2590	17

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs
(+.f64 1 (cos.f64 im))
(-.f64 (+.f64 1 (cos.f64 im)) 1)
(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))

Outputs

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

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

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

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-l_binary64`
650×	`distribute-lft-out_binary64`
613×	`distribute-rgt-out_binary64`
469×	`associate-r_binary64`
426×	`sqr-pow_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	408
1	141	402
2	360	382
3	1141	369
4	3300	367
5	5954	367
6	6465	367
7	6898	367
8	7590	367

Stop Event

1×	node limit

Counts

133 → 122

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 2 (.f64 -1/2 (.f64 im im)))
(fma.f64 -1/2 (*.f64 im im) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 2) (.f64 1/24 (pow.f64 im 4)))
(fma.f64 1/24 (pow.f64 im 4) (fma.f64 -1/2 (*.f64 im im) 2))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 2))
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 2 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 -1/2 (.f64 im im) 2) (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/720 (pow.f64 im 6) (.f64 -1/2 (.f64 im im))) (fma.f64 1/24 (pow.f64 im 4) 2))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 im 2)))
(+.f64 (.f64 -1/2 (.f64 im im)) 1)
(fma.f64 -1/2 (*.f64 im im) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (.f64 1/24 (pow.f64 im 4))))
(+.f64 (fma.f64 -1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))) 1)
(+.f64 (.f64 1/24 (pow.f64 im 4)) (fma.f64 -1/2 (.f64 im im) 1))
(fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 im 2)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (*.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))) 1)
(+.f64 (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))) (fma.f64 -1/2 (.f64 im im) 1))
(+.f64 (fma.f64 -1/2 (.f64 im im) (.f64 1/24 (pow.f64 im 4))) (fma.f64 -1/720 (pow.f64 im 6) 1))
(+.f64 (.f64 -1/720 (pow.f64 im 6)) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 (+.f64 re 1) (cos.f64 im))))
(fma.f64 (cos.f64 im) (.f64 1/6 (pow.f64 re 3)) (.f64 (cos.f64 im) (+.f64 (+.f64 1 re) (.f64 re (.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (exp.f64 re))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (exp.f64 re))
(.f64 (fma.f64 -1/2 (.f64 im im) 1) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (exp.f64 re)) (exp.f64 re)))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (*.f64 (pow.f64 im 4) (exp.f64 re)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)))
(.f64 (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1)) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.f64 -1/2 (.f64 (.f64 im im) (exp.f64 re)) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (+.f64 (exp.f64 re) (.f64 -1/720 (*.f64 (pow.f64 im 6) (exp.f64 re))))))
(fma.f64 -1/2 (.f64 im (.f64 im (exp.f64 re))) (fma.f64 1/24 (.f64 (pow.f64 im 4) (exp.f64 re)) (fma.f64 -1/720 (.f64 (pow.f64 im 6) (exp.f64 re)) (exp.f64 re))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 im im) 1) (exp.f64 re)) (.f64 (exp.f64 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 -1/720 (pow.f64 im 6)))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 -1/2 (.f64 im im) (fma.f64 1/24 (pow.f64 im 4) (*.f64 -1/720 (pow.f64 im 6))))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (fma.f64 -1/2 (*.f64 im im) (fma.f64 1/24 (pow.f64 im 4) 1))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

eval87.0ms (1.2%)

Compiler: Compiled 3967 to 2197 computations (44.6% saved)

prune65.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	323	7	330
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	324	12	336

Error

Counts

336 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.9b	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
▶	22.0b	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
✓	18.5b	(exp.f64 re)
▶	21.9b	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	0.2b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))
✓	21.9b	(cos.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	40.1b	(+.f64 1 re)
	39.9b	1
▶	22.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
	22.0b	(log.f64 (exp.f64 (cos.f64 im)))
✓	21.8b	(*.f64 (cos.f64 im) (+.f64 1 re))

Compiler

Compiled 171 to 133 computations (22.2% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))
✓	0.0b	(+.f64 re (.f64 re (.f64 re 1/2)))
	0.0b	(cos.f64 im)
✓	0.0b	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
1.0ms	im	@	inf	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
1.0ms	re	@	inf	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
1.0ms	im	@	-inf	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	-inf	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

rewrite93.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
511×	`fma-def_binary64`
428×	`pow-prod-down_binary64`
306×	`pow2_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	239	35
2	3310	31

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(+.f64 re (.f64 re (.f64 re 1/2)))
(+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 re) (cos.f64 im)) (*.f64 (*.f64 re (*.f64 re 1/2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 re 1/2 1) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 re 1/2 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 re 1/2 1) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 re 1/2 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 3)) (+.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 2) (*.f64 (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 im) 2) (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 2)) (-.f64 (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 3)) (cos.f64 im)) (fma.f64 (fma.f64 re (*.f64 re 1/2) re) (fma.f64 re (fma.f64 re 1/2 1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 2)) (cos.f64 im)) (-.f64 1 (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 3))) (fma.f64 (fma.f64 re (*.f64 re 1/2) re) (fma.f64 re (fma.f64 re 1/2 1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 im) (-.f64 1 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 2))) (-.f64 1 (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 im)) (fma.f64 re (fma.f64 re 1/2 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 im))) (exp.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) (exp.f64 (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) (+.f64 1 (expm1.f64 (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 im) (fma.f64 re (fma.f64 re 1/2 1) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) 1 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) 1 (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 im) (+.f64 1 re) (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 im) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 im) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 re (*.f64 re 1/2) re) (cos.f64 im) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 2)) (*.f64 (cbrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 im)) (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (cbrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (cbrt.f64 (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cbrt.f64 (cos.f64 im)) 1) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cbrt.f64 (cos.f64 im)) 1) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 im)) 2) (*.f64 (cbrt.f64 (cos.f64 im)) (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (*.f64 (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (sqrt.f64 (cos.f64 im)) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) 1) (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) 1) (*.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 im)) (*.f64 (sqrt.f64 (cos.f64 im)) (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 re) (cos.f64 im) (*.f64 (*.f64 re (*.f64 re 1/2)) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) 2) (cbrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) (sqrt.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) re))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 2))) (cbrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 im) (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re))) (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 re (*.f64 re 1/2) re) (pow.f64 (cbrt.f64 (cos.f64 im)) 2)) (cbrt.f64 (cos.f64 im)) 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2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) re) 2)) (cbrt.f64 (fma.f64 re (*.f64 re 1/2) re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 re 1/2) 2)) (*.f64 (cbrt.f64 (*.f64 re 1/2)) re) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sqrt.f64 1/2)) (*.f64 re (sqrt.f64 1/2)) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (fma.f64 re (*.f64 re 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (*.f64 re 1/2)) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re)) (sqrt.f64 (fma.f64 re (*.f64 re 1/2) re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 re 1/2)) (*.f64 (sqrt.f64 (*.f64 re 1/2)) re) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 re 3)) (/.f64 1 (-.f64 (fma.f64 re re (pow.f64 (*.f64 re (sqrt.f64 1/2)) 4)) (*.f64 (pow.f64 re 3) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 re re) (pow.f64 (*.f64 re (sqrt.f64 1/2)) 4)) (/.f64 1 (-.f64 re (*.f64 re (*.f64 re 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 re) 1 (*.f64 re (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 re)) 2) (cbrt.f64 (+.f64 1 re)) (*.f64 re (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 re)) (sqrt.f64 (+.f64 1 re)) (*.f64 re (*.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 re 1/2 1) re 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (cbrt.f64 (pow.f64 (*.f64 re 1/2) 2))) (cbrt.f64 (*.f64 re 1/2)) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sqrt.f64 (*.f64 re 1/2))) (sqrt.f64 (*.f64 re 1/2)) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 re 1/2) (pow.f64 (cbrt.f64 re) 2)) (cbrt.f64 re) (+.f64 1 re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 re 1/2) (sqrt.f64 re)) (sqrt.f64 re) (+.f64 1 re))))))

simplify166.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in_binary64`
791×	`distribute-lft-in_binary64`
540×	`sqr-pow_binary64`
452×	`*-commutative_binary64`
320×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	652
1	121	648
2	404	612
3	1860	591
4	3513	581
5	4273	581
6	4425	581
7	4596	581
8	4764	581
9	4986	581
10	6731	581
11	7140	581
12	7581	581

Stop Event

1×	node limit

Counts

252 → 230

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) re)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4)))))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4))))))))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
re
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
1
(+.f64 1 re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))

Outputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) re)))
(fma.f64 1/2 (.f64 re re) (+.f64 1 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re)))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) re) (fma.f64 1/2 (.f64 re re) 1))
(.f64 (+.f64 (.f64 -1/2 (.f64 im im)) 1) (+.f64 re (fma.f64 1/2 (.f64 re re) 1)))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (+.f64 1 (.f64 -1/2 (.f64 im im))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4)))))))
(fma.f64 1/2 (.f64 re re) (+.f64 1 (+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re) (.f64 1/24 (.f64 (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)) (pow.f64 im 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 4)) re)) (fma.f64 1/2 (.f64 re re) 1))
(+.f64 re (+.f64 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))) (fma.f64 1/2 (.f64 re re) 1)))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (*.f64 1/24 (pow.f64 im 4))))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 1 (.f64 -1/2 (*.f64 im im)))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4))))))))
(fma.f64 1/2 (.f64 re re) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 6)) (+.f64 1 (+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re) (.f64 1/24 (.f64 (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)) (pow.f64 im 4)))))))
(fma.f64 1/2 (.f64 re re) (+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 4)) re)) (fma.f64 -1/720 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 6)) 1)))
(+.f64 (fma.f64 (pow.f64 im 6) (fma.f64 (+.f64 re 1) -1/720 (.f64 (.f64 re re) -1/1440)) 1) (+.f64 (fma.f64 1/2 (.f64 re re) re) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4))))))
(+.f64 (fma.f64 1/2 (.f64 re re) 1) (+.f64 re (.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 (.f64 im im) (+.f64 (.f64 (.f64 im im) 1/24) -1/2))))))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (cos.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (cos.f64 im))))
(.f64 (.f64 1/2 (*.f64 re re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (*.f64 re (cos.f64 im)))
(.f64 (cos.f64 im) (fma.f64 1/2 (.f64 re re) re))
(.f64 (cos.f64 im) (fma.f64 re (.f64 1/2 re) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (cos.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (cos.f64 im))))
(.f64 (.f64 1/2 (*.f64 re re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (*.f64 re (cos.f64 im)))
(.f64 (cos.f64 im) (fma.f64 1/2 (.f64 re re) re))
(.f64 (cos.f64 im) (fma.f64 re (.f64 1/2 re) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 1/2 re) re)) (cos.f64 im))
re
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
1
(+.f64 1 re)
(+.f64 re 1)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) re)
(fma.f64 1/2 (*.f64 re re) re)
(fma.f64 re (*.f64 1/2 re) re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 re (*.f64 1/2 re) re))

localize3.0ms (0%)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
✓	0.0b	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
	0.3b	(-.f64 (+.f64 1 (cos.f64 im)) 1)
	0.5b	(+.f64 1 (cos.f64 im))

Compiler

Compiled 30 to 19 computations (36.7% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
0.0ms	im	@	0	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
0.0ms	re	@	inf	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
0.0ms	im	@	inf	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
0.0ms	re	@	-inf	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`fma-def_binary64`
491×	`prod-diff_binary64`
419×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	206	9
2	3132	9

Stop Event

1×	node limit

Counts

1 → 115

Calls

Call 1

Inputs
(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))

Outputs

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

simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

773×	`fma-def_binary64`
757×	`distribute-rgt-out_binary64`
630×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
521×	`associate-l_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	30	268
1	78	262
2	249	250
3	914	243
4	3884	243
5	6204	243
6	6386	243
7	6625	243
8	6844	243
9	7117	239

Stop Event

1×	node limit

Counts

139 → 127

Calls

Call 1

Inputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))

Outputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im)))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re))
(+.f64 1 (fma.f64 (*.f64 im (fma.f64 re -1/2 -1/2)) im re))
(.f64 (+.f64 1 re) (fma.f64 -1/2 (.f64 im im) 1))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im))))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4)) 1))
(+.f64 1 (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (*.f64 im (fma.f64 re -1/2 -1/2)) im re)))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (*.f64 im im)) (fma.f64 1/24 (pow.f64 im 4) 1)))
(.f64 (+.f64 1 re) (+.f64 (.f64 1/24 (pow.f64 im 4)) (fma.f64 -1/2 (*.f64 im im) 1)))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im)))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) 1)))
(+.f64 (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) 1) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (*.f64 im (fma.f64 re -1/2 -1/2)) im re)))
(fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (*.f64 im im)) (fma.f64 -1/720 (pow.f64 im 6) 1))))
(fma.f64 (+.f64 1 re) (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))) (.f64 (+.f64 1 re) (fma.f64 -1/2 (*.f64 im im) 1)))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/2 (.f64 im im) 1) (fma.f64 -1/720 (pow.f64 im 6) (*.f64 1/24 (pow.f64 im 4)))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
	0.0b	(*.f64 (cos.f64 im) (+.f64 1 re))
✓	0.2b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
✓	0.3b	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
0.0ms	im	@	inf	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
0.0ms	im	@	0	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
0.0ms	im	@	-inf	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
0.0ms	re	@	0	(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))

rewrite76.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff_binary64`
609×	`fma-def_binary64`
420×	`log-prod_binary64`
260×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	206	19
2	3052	19

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

Inputs
(+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)

Outputs

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

simplify261.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

591×	`distribute-rgt-in_binary64`
587×	`distribute-lft-in_binary64`
525×	`associate-l_binary64`
477×	`distribute-lft-out_binary64`
455×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	556
1	107	544
2	338	520
3	1195	518
4	3160	516
5	6573	516
6	6749	516
7	6988	516
8	7207	516
9	7480	516
10	7817	516

Stop Event

1×	node limit

Counts

238 → 213

Calls

Call 1

Inputs
(+.f64 2 re)
(+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(+.f64 1 (cos.f64 im))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(*.f64 (cos.f64 im) re)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(*.f64 (cos.f64 im) re)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))

Outputs
(+.f64 2 re)
(+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 re 1) (*.f64 im im)))))
(+.f64 2 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re))
(+.f64 2 (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re))
(+.f64 re (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 2))
(fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) (+.f64 2 re))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(fma.f64 1/24 (.f64 (+.f64 re 1) (pow.f64 im 4)) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 re 1) (.f64 im im))))))
(+.f64 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re) (fma.f64 (+.f64 1/24 (*.f64 re 1/24)) (pow.f64 im 4) 2))
(+.f64 2 (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re)))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(fma.f64 1/24 (.f64 (+.f64 re 1) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (+.f64 re 1) (pow.f64 im 6)) (+.f64 2 (+.f64 re (.f64 -1/2 (.f64 (+.f64 re 1) (*.f64 im im)))))))
(fma.f64 1/24 (.f64 (+.f64 re 1) (pow.f64 im 4)) (+.f64 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re) (fma.f64 -1/720 (.f64 (+.f64 re 1) (pow.f64 im 6)) 2)))
(+.f64 (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) 2)))
(+.f64 2 (+.f64 re (.f64 (+.f64 re 1) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))))
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (*.f64 (+.f64 1 re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 (*.f64 (cos.f64 im) (+.f64 1 re)) 1)
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (cos.f64 im))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 (cos.f64 im) (+.f64 re 1) 1)
(fma.f64 (+.f64 re 1) (cos.f64 im) 1)
(+.f64 1 re)
(+.f64 re 1)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (+.f64 re 1) (.f64 -1/2 (.f64 (+.f64 re 1) (*.f64 im im))))
(+.f64 1 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re))
(+.f64 re (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 1))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(fma.f64 1/24 (.f64 (+.f64 re 1) (pow.f64 im 4)) (+.f64 (+.f64 re 1) (.f64 -1/2 (.f64 (+.f64 re 1) (.f64 im im)))))
(+.f64 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re) (fma.f64 (+.f64 1/24 (*.f64 re 1/24)) (pow.f64 im 4) 1))
(+.f64 (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) 1))
(.f64 (+.f64 re 1) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(.f64 (+.f64 re 1) (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 1 (.f64 -1/2 (.f64 im im)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(fma.f64 1/24 (.f64 (+.f64 re 1) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (+.f64 re 1) (pow.f64 im 6)) (+.f64 (+.f64 re 1) (.f64 -1/2 (.f64 (+.f64 re 1) (*.f64 im im))))))
(fma.f64 (+.f64 1/24 (.f64 re 1/24)) (pow.f64 im 4) (+.f64 (fma.f64 (+.f64 -1/2 (.f64 re -1/2)) (.f64 im im) re) (fma.f64 (+.f64 -1/720 (.f64 re -1/720)) (pow.f64 im 6) 1)))
(+.f64 (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) 1) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re)))
(fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) (.f64 (+.f64 re 1) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 1 (.f64 -1/720 (pow.f64 im 6))))))
(.f64 (+.f64 re 1) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (*.f64 1/24 (pow.f64 im 4)))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))))
✓	0.0b	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
✓	0.1b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
✓	0.4b	(*.f64 1/6 re)

Compiler

Compiled 69 to 42 computations (39.1% saved)

series11.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(*.f64 1/6 re)
2.0ms	im	@	-inf	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
1.0ms	im	@	inf	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
1.0ms	im	@	0	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
1.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))

rewrite106.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`fma-def_binary64`
743×	`log-prod_binary64`
362×	`fma-neg_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	318	50
2	4602	50

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

Inputs
(*.f64 1/6 re)
(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
(+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 re) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 re 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 re re) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 re)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 re (.f64 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re (.f64 re 1/2)) 1) (.f64 (.f64 1/6 (pow.f64 re 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 re (.f64 re (fma.f64 1/6 re 1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 3) (pow.f64 (.f64 1/6 (pow.f64 re 3)) 3)) (fma.f64 (.f64 re (.f64 re 1/2)) (.f64 re (.f64 re 1/2)) (-.f64 (.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 1/6 (pow.f64 re 3))) (.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 re (.f64 re 1/2)) (.f64 re (.f64 re 1/2))) (.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 1/6 (pow.f64 re 3)))) (-.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/216 (pow.f64 re 3) 1/8) (.f64 re re)) (fma.f64 (.f64 1/6 re) (fma.f64 1/6 re -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/4 (.f64 (.f64 re re) 1/36)) (.f64 re re)) (+.f64 1/2 (.f64 -1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (fma.f64 1/216 (pow.f64 re 3) 1/8)) (fma.f64 (.f64 1/6 re) (fma.f64 1/6 re -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (-.f64 1/4 (.f64 (.f64 re re) 1/36))) (+.f64 1/2 (.f64 -1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (.f64 re (fma.f64 1/6 re 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (sqrt.f64 (fma.f64 1/6 re 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 re (.f64 re (fma.f64 1/6 re 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 1/6 re 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (fma.f64 1/6 re 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 1/6 (pow.f64 re 3))) (exp.f64 (.f64 re (.f64 re 1/2)))))))) 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simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1572×	`distribute-rgt-in_binary64`
1051×	`distribute-lft-in_binary64`
470×	`fma-def_binary64`
457×	`*-commutative_binary64`
298×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	917
1	189	830
2	597	732
3	3353	715
4	4134	702
5	4813	702
6	5023	702
7	5237	702
8	5432	702

Stop Event

1×	node limit

Counts

264 → 253

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (*.f64 (cos.f64 im) re)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (*.f64 (cos.f64 im) re)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
1
(+.f64 1 re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 1 re)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))

Outputs
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))
(+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2))))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))
(fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (.f64 im im)) (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))))
(fma.f64 -1/2 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 im im)) (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)))
(.f64 (+.f64 (.f64 -1/2 (.f64 im im)) 1) (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 (.f64 -1/2 (.f64 im im)) 1))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 1 (.f64 -1/2 (.f64 im im))))
(.f64 (+.f64 re (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) 1)) (+.f64 1 (.f64 -1/2 (.f64 im im))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))))
(fma.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (.f64 im im)) (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2))))))
(fma.f64 1/24 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 im im)) (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re))))
(fma.f64 (.f64 im im) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re) -1/2 -1/2) (.f64 (+.f64 (.f64 1/24 (pow.f64 im 4)) 1) (+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 (+.f64 (.f64 -1/2 (.f64 im im)) 1) (*.f64 1/24 (pow.f64 im 4))))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (*.f64 1/24 (pow.f64 im 4))))
(.f64 (+.f64 re (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) 1)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (*.f64 1/24 (pow.f64 im 4))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (.f64 im im)) (fma.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 6)) (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 im im)) (fma.f64 -1/720 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 6)) (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)))))
(+.f64 (.f64 (+.f64 (.f64 -1/720 (pow.f64 im 6)) 1) (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re))) (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
(fma.f64 (pow.f64 im 4) (fma.f64 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re) 1/24 1/24) (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 (.f64 -1/720 (pow.f64 im 6)) 1))))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (+.f64 1 (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 -1/720 (pow.f64 im 6))))))
(.f64 (+.f64 re (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) 1)) (+.f64 (+.f64 1 (.f64 -1/720 (pow.f64 im 6))) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (*.f64 (+.f64 re 1) (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 1 (fma.f64 1/2 (.f64 re re) re)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (cos.f64 im))))
(.f64 re (.f64 (*.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))
(.f64 re (.f64 re (*.f64 (fma.f64 re 1/6 1/2) (cos.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (*.f64 (cos.f64 im) re)))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)) (.f64 re (cos.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (fma.f64 (.f64 1/6 (cos.f64 im)) (pow.f64 re 3) (.f64 re (cos.f64 im))))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (cos.f64 im))))
(.f64 re (.f64 (*.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))
(.f64 re (.f64 re (*.f64 (fma.f64 re 1/6 1/2) (cos.f64 im))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (*.f64 (cos.f64 im) re)))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)) (.f64 re (cos.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (fma.f64 (.f64 1/6 (cos.f64 im)) (pow.f64 re 3) (.f64 re (cos.f64 im))))
(.f64 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (cos.f64 im))
(fma.f64 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re) (cos.f64 im) (cos.f64 im))
1
(+.f64 1 re)
(+.f64 re 1)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 1/2 (*.f64 re re) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 1 re)))
(+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2))))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) 1))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) re))
(fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re)
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2))))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) 1))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3)))
(.f64 re (.f64 re (fma.f64 re 1/6 1/2)))
(.f64 (.f64 re re) (fma.f64 re 1/6 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) re))
(fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re)
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2))))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) 1))

eval426.0ms (5.7%)

Compiler: Compiled 17767 to 10963 computations (38.3% saved)

prune163.0ms (2.2%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1013	2	1015
Fresh	0	2	2
Picked	0	1	1
Done	1	8	9
Total	1014	13	1027

Error

Counts

1027 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.9b	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
✓	22.0b	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
✓	18.5b	(exp.f64 re)
✓	21.9b	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	40.1b	(+.f64 1 re)
▶	22.1b	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	21.9b	(cos.f64 im)
▶	40.3b	(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
	39.9b	1
✓	22.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
▶	22.0b	(log.f64 (exp.f64 (cos.f64 im)))
✓	21.8b	(*.f64 (cos.f64 im) (+.f64 1 re))

Compiler

Compiled 124 to 96 computations (22.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
	0.1b	(exp.f64 (cos.f64 im))
	0.3b	(log.f64 (exp.f64 (cos.f64 im)))

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 re (.f64 re (.f64 re 1/2)))
	0.0b	(+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))

Compiler

Compiled 40 to 27 computations (32.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 im)
✓	0.0b	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	0.3b	(-.f64 (+.f64 1 (cos.f64 im)) 1)
	0.5b	(+.f64 1 (cos.f64 im))

Compiler

Compiled 58 to 37 computations (36.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	im	@	inf	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	-inf	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	0	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	inf	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`fma-def_binary64`
665×	`log-prod_binary64`
372×	`fma-neg_binary64`
245×	`expm1-udef_binary64`
245×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	300	16
2	4578	14

Stop Event

1×	node limit

Counts

1 → 122

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Outputs

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

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Rules

948×	`distribute-rgt-in_binary64`
792×	`distribute-lft-in_binary64`
540×	`sqr-pow_binary64`
445×	`*-commutative_binary64`
322×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	464
1	118	460
2	402	424
3	1871	403
4	3505	393
5	4273	393
6	4425	393
7	4596	393
8	4764	393
9	4986	393
10	6731	393
11	7140	393
12	7583	393

Stop Event

1×	node limit

Counts

146 → 140

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) re)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4)))))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4))))))))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))

Outputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 1/2 (*.f64 re re) 1))
(+.f64 1 (fma.f64 1/2 (*.f64 re re) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) re)))
(fma.f64 1/2 (.f64 re re) (+.f64 1 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re)))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) re) (fma.f64 1/2 (.f64 re re) 1))
(.f64 (+.f64 (.f64 -1/2 (.f64 im im)) 1) (+.f64 1 (fma.f64 1/2 (.f64 re re) re)))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 1 (.f64 -1/2 (.f64 im im))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4)))))))
(fma.f64 1/2 (.f64 re re) (+.f64 1 (+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re) (.f64 1/24 (.f64 (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)) (pow.f64 im 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 4)) re)) (fma.f64 1/2 (.f64 re re) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im)))) (fma.f64 1/2 (.f64 re re) re)))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (*.f64 1/24 (pow.f64 im 4))))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (+.f64 1 (.f64 -1/2 (*.f64 im im)))))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 -1/720 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 6))) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) (+.f64 re (.f64 1/24 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 4))))))))
(fma.f64 1/2 (.f64 re re) (fma.f64 -1/720 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 6)) (+.f64 1 (+.f64 (fma.f64 -1/2 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (.f64 im im)) re) (.f64 1/24 (.f64 (fma.f64 1/2 (*.f64 re re) (+.f64 re 1)) (pow.f64 im 4)))))))
(fma.f64 1/2 (.f64 re re) (+.f64 (fma.f64 -1/2 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 im im)) (fma.f64 1/24 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 4)) re)) (fma.f64 -1/720 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 6)) 1)))
(+.f64 (fma.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (.f64 -1/720 (pow.f64 im 6)) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 -1/2 (.f64 im im)))) (fma.f64 1/2 (.f64 re re) re)))
(+.f64 (fma.f64 1/2 (.f64 re re) 1) (+.f64 re (.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 (.f64 im im) (+.f64 -1/2 (.f64 (.f64 im im) 1/24)))))))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (+.f64 (+.f64 1 (.f64 -1/2 (.f64 im im))) (+.f64 (.f64 -1/720 (pow.f64 im 6)) (.f64 1/24 (pow.f64 im 4)))))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 re 1) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (cos.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (cos.f64 im))))
(.f64 re (.f64 (cos.f64 im) (*.f64 1/2 re)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (*.f64 re (cos.f64 im)))
(.f64 (cos.f64 im) (fma.f64 1/2 (.f64 re re) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (cos.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (cos.f64 im))))
(.f64 re (.f64 (cos.f64 im) (*.f64 1/2 re)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (*.f64 (cos.f64 im) re))
(fma.f64 1/2 (.f64 (.f64 re re) (cos.f64 im)) (*.f64 re (cos.f64 im)))
(fma.f64 1/2 (.f64 re (.f64 re (cos.f64 im))) (*.f64 re (cos.f64 im)))
(.f64 (cos.f64 im) (fma.f64 1/2 (.f64 re re) re))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (cos.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (cos.f64 im))
(.f64 (+.f64 1 (fma.f64 1/2 (.f64 re re) re)) (cos.f64 im))

eval221.0ms (3%)

Compiler: Compiled 8477 to 5783 computations (31.8% saved)

prune136.0ms (1.8%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	475	2	477
Fresh	1	0	1
Picked	0	1	1
Done	0	11	11
Total	476	14	490

Error

Counts

490 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.9b	(cos.f64 im)
	39.9b	1
✓	21.9b	(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
✓	22.0b	(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
✓	18.5b	(exp.f64 re)
✓	21.9b	(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	40.1b	(+.f64 1 re)
✓	22.1b	(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	40.4b	(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
✓	40.3b	(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	22.0b	(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
✓	22.0b	(log.f64 (exp.f64 (cos.f64 im)))
✓	21.8b	(*.f64 (cos.f64 im) (+.f64 1 re))

Compiler

Compiled 135 to 105 computations (22.2% saved)

regimes59.0ms (0.8%)

Counts

17 → 1

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (cos.f64 im)) 1))
(log.f64 (exp.f64 (cos.f64 im)))
(*.f64 (exp.f64 re) (log.f64 (exp.f64 (cos.f64 im))))

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

Calls

5 calls:

16.0ms	(cos.f64 im)
10.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
10.0ms	re
9.0ms	im
5.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 147 to 91 computations (38.1% saved)

regimes100.0ms (1.3%)

Counts

13 → 2

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))

Outputs
(exp.f64 re)
(.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))))))

Calls

5 calls:

42.0ms	im
30.0ms	(cos.f64 im)
16.0ms	re
5.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
10.6b	5	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
10.4b	4	`(cos.f64 im)`

Compiler

Compiled 119 to 80 computations (32.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6203727032337031	0.9999999999999982

Compiler

Compiled 12 to 9 computations (25% saved)

regimes213.0ms (2.9%)

Counts

12 → 2

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Outputs
(exp.f64 re)
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Calls

5 calls:

95.0ms	(cos.f64 im)
91.0ms	im
16.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.5b	2	`re`
10.6b	5	`im`
0.5b	2	`(exp.f64 re)`
0.5b	2	`(exp.f64 re)`
10.4b	4	`(cos.f64 im)`

Compiler

Compiled 103 to 71 computations (31.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6203727032337031	0.9999999999999982

Compiler

Compiled 12 to 9 computations (25% saved)

regimes84.0ms (1.1%)

Counts

10 → 2

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (-.f64 (+.f64 1 (cos.f64 im)) 1) (+.f64 1 re))
(-.f64 (+.f64 1 (*.f64 (cos.f64 im) (+.f64 1 re))) 1)

Outputs
(exp.f64 re)
(*.f64 (cos.f64 im) (+.f64 1 re))

Calls

5 calls:

37.0ms	im
22.0ms	(cos.f64 im)
13.0ms	re
5.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
10.7b	5	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
10.5b	4	`(cos.f64 im)`

Compiler

Compiled 75 to 53 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6203727032337031	0.9999999999999982

Compiler

Compiled 12 to 9 computations (25% saved)

regimes63.0ms (0.8%)

Counts

7 → 2

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)
(exp.f64 re)

Outputs
(exp.f64 re)
(cos.f64 im)

Calls

4 calls:

29.0ms	im
17.0ms	(cos.f64 im)
10.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.9b	2	`re`
10.8b	5	`im`
0.9b	2	`(exp.f64 re)`
10.6b	4	`(cos.f64 im)`

Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6203727032337031	0.9999999999999982

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(cos.f64 im)

Outputs
(cos.f64 im)

Calls

3 calls:

6.0ms	im
5.0ms	re
4.0ms	(cos.f64 im)

Results

Error	Segments	Branch
21.9b	1	`re`
21.9b	1	`im`
21.9b	1	`(cos.f64 im)`

Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.4b remaining (-1.1%)

Threshold costs -0.4b (-1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
1
1
(+.f64 1 re)
(.f64 1 (+.f64 1 (.f64 1/2 (*.f64 re re))))
(.f64 1 (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Outputs
1

Calls

2 calls:

4.0ms	re
4.0ms	im

Results

Error	Segments	Branch
39.9b	1	`re`
39.9b	1	`im`

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	110
1	46	110

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 1 re)))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
1

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 1 re)))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 3602879701896397/4503599627370496) (exp.f64 re) (cos.f64 im))
(cos.f64 im)
1

Compiler

Compiled 86 to 59 computations (31.4% saved)

soundness0.0ms (0%)

end49.0ms (0.7%)

Compiler: Compiled 74 to 38 computations (48.6% saved)

Details

analyze84.0ms (1.1%)

sample3.1s (41.3%)

preprocess51.0ms (0.7%)

simplify13.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.2%)

series9.0ms (0.1%)

rewrite85.0ms (1.1%)

simplify135.0ms (1.8%)

eval22.0ms (0.3%)

prune33.0ms (0.4%)

localize27.0ms (0.4%)

series28.0ms (0.4%)

rewrite81.0ms (1.1%)

simplify157.0ms (2.1%)

localize4.0ms (0.1%)

localize3.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite86.0ms (1.2%)

simplify123.0ms (1.7%)

localize48.0ms (0.6%)

series4.0ms (0%)

rewrite97.0ms (1.3%)

simplify134.0ms (1.8%)

eval87.0ms (1.2%)

prune65.0ms (0.9%)

localize21.0ms (0.3%)

series6.0ms (0.1%)

rewrite93.0ms (1.3%)

simplify166.0ms (2.2%)

localize3.0ms (0%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite65.0ms (0.9%)

simplify124.0ms (1.7%)

localize22.0ms (0.3%)

series7.0ms (0.1%)

rewrite76.0ms (1%)

simplify261.0ms (3.5%)

localize29.0ms (0.4%)

series11.0ms (0.1%)

rewrite106.0ms (1.4%)

simplify128.0ms (1.7%)

eval426.0ms (5.7%)

prune163.0ms (2.2%)

localize10.0ms (0.1%)

localize16.0ms (0.2%)

localize25.0ms (0.3%)

series2.0ms (0%)

rewrite82.0ms (1.1%)

simplify150.0ms (2%)

eval221.0ms (3%)

prune136.0ms (1.8%)

regimes59.0ms (0.8%)

regimes100.0ms (1.3%)

bsearch0.0ms (0%)

regimes213.0ms (2.9%)

bsearch0.0ms (0%)

regimes84.0ms (1.1%)

bsearch0.0ms (0%)

regimes63.0ms (0.8%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

simplify8.0ms (0.1%)

soundness0.0ms (0%)

end49.0ms (0.7%)

Profiling