Details

analyze70.0ms (1.3%)

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%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.4s (43.6%)

Results

1.0s	6196×	body	256	valid
666.0ms	1364×	body	1024	valid
263.0ms	701×	body	1024	invalid
254.0ms	694×	body	512	valid
124.0ms	338×	body	512	invalid
69.0ms	475×	body	256	invalid
3.0ms	2×	body	2048	valid

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (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) (sin.f64 im))

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite43.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-out_binary64`
812×	`fma-def_binary64`
569×	`unswap-sqr_binary64`
547×	`distribute-rgt-in_binary64`
403×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	296
1	122	294
2	312	274
3	917	250
4	2885	249
5	3749	249
6	5943	249
7	7045	249
8	7825	249

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (.f64 (.f64 re re) (.f64 (sin.f64 im) 1/2)))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re 1/2) 1)))
(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (sin.f64 im) (*.f64 (pow.f64 re 3) 1/6))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 (sin.f64 im) (+.f64 (fma.f64 re (.f64 re 1/2) 1) (fma.f64 1/6 (pow.f64 re 3) re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 im (exp.f64 re)))
(fma.f64 im (exp.f64 re) (.f64 (pow.f64 im 3) (.f64 (exp.f64 re) -1/6)))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (exp.f64 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (*.f64 im (exp.f64 re))))
(fma.f64 (exp.f64 re) (.f64 1/120 (pow.f64 im 5)) (.f64 (exp.f64 re) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 1/120 (pow.f64 im 5) im) (.f64 -1/6 (pow.f64 im 3))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im)))
(.f64 (exp.f64 re) (+.f64 im (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7)) (.f64 im (exp.f64 re)))))
(+.f64 (.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (exp.f64 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5))) (fma.f64 -1/5040 (pow.f64 im 7) im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))

eval9.0ms (0.2%)

Compiler: Compiled 292 to 144 computations (50.7% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

Counts

28 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
▶	20.3b	(sin.f64 im)
▶	21.3b	(*.f64 (exp.f64 re) im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	20.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 36 to 27 computations (25% saved)

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

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

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
414×	`add-sqr-sqrt_binary64`
409×	`*-un-lft-identity_binary64`
397×	`add-log-exp_binary64`
397×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	94	6
2	1100	6

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify137.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

709×	`distribute-lft-out_binary64`
619×	`*-commutative_binary64`
531×	`associate-+l+_binary64`
442×	`sqr-pow_binary64`
431×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	53	46
2	136	42
3	404	37
4	1499	37
5	2398	37
6	4023	37
7	4155	37
8	4400	37
9	4756	37
10	5502	37
11	6346	37
12	7107	37
13	7638	37

Stop Event

1×	node limit

Counts

18 → 21

Calls

Call 1

Inputs
im
(+.f64 (*.f64 re im) im)
(+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) im)) (+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im)))

Outputs
im
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im))
(fma.f64 re im (fma.f64 1/2 (.f64 im (.f64 re re)) im))
(fma.f64 im re (fma.f64 1/2 (.f64 im (.f64 re re)) im))
(.f64 im (+.f64 re (fma.f64 1/2 (.f64 re re) 1)))
(fma.f64 im (*.f64 re (fma.f64 re 1/2 1)) im)
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) im)) (+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im)))
(fma.f64 1/6 (.f64 im (pow.f64 re 3)) (fma.f64 re im (fma.f64 1/2 (.f64 im (*.f64 re re)) im)))
(fma.f64 1/6 (.f64 im (pow.f64 re 3)) (fma.f64 im re (fma.f64 1/2 (.f64 im (*.f64 re re)) im)))
(fma.f64 im (fma.f64 1/6 (pow.f64 re 3) re) (.f64 im (fma.f64 1/2 (.f64 re re) 1)))
(fma.f64 im (fma.f64 1/6 (pow.f64 re 3) (*.f64 re (fma.f64 re 1/2 1))) im)

localize21.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
675×	`add-log-exp_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1894	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify112.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1174×	`distribute-rgt-in_binary64`
845×	`distribute-lft-in_binary64`
736×	`fma-def_binary64`
426×	`unswap-sqr_binary64`
372×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	274
1	84	274
2	249	254
3	929	240
4	3139	240
5	4762	240
6	5206	240
7	5914	240
8	6015	240
9	6155	240
10	6349	240

Stop Event

1×	node limit

Counts

48 → 37

Calls

Call 1

Inputs
(*.f64 (+.f64 1 re) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))

Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im (.f64 (+.f64 1 re) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (+.f64 1 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (+.f64 1 re) (*.f64 (pow.f64 im 3) -1/6))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (.f64 (+.f64 1 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) im)))
(.f64 (+.f64 1 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (fma.f64 -1/6 (pow.f64 im 3) im)))
(.f64 (+.f64 1 re) (+.f64 im (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 -1/5040 (.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 7) (fma.f64 re -1/5040 -1/5040) (fma.f64 re im im))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 -1/5040 (pow.f64 im 7))) (fma.f64 1/120 (pow.f64 im 5) im)))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.2b	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	2.1b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

Compiler

Compiled 30 to 12 computations (60% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite70.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	17
2	2553	17

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify113.0ms (2%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
547×	`distribute-rgt-in_binary64`
397×	`associate-l_binary64`
337×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	620
1	157	578
2	417	544
3	1208	521
4	2531	521
5	3397	521
6	5594	521
7	6696	521
8	7475	521

Stop Event

1×	node limit

Counts

131 → 114

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 1 (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (+.f64 1 (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
1
(+.f64 1 (*.f64 (exp.f64 re) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 1 (*.f64 (exp.f64 re) im)))
(+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 1 (*.f64 (exp.f64 re) im))))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (sin.f64 im) (+.f64 re (+.f64 1 (.f64 re (*.f64 re 1/2)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (pow.f64 re 3) (*.f64 (sin.f64 im) 1/6))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
(.f64 (sin.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 im (exp.f64 re)))
(fma.f64 im (exp.f64 re) (.f64 (.f64 -1/6 (pow.f64 im 3)) (exp.f64 re)))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) im))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (*.f64 im (exp.f64 re))))
(fma.f64 im (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5)))))
(.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3))) im))
(.f64 (exp.f64 re) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (*.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7)) (.f64 im (exp.f64 re)))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 im (exp.f64 re) (.f64 (.f64 -1/5040 (pow.f64 im 7)) (exp.f64 re)))))
(+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) im)) (.f64 (exp.f64 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (exp.f64 re) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (exp.f64 re) (+.f64 im (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/6 (pow.f64 im 3))))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 1 (sin.f64 im))
(+.f64 (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 (*.f64 (sin.f64 im) re) 1))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re 1))
(fma.f64 (+.f64 re 1) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (+.f64 (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))) 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2)) (fma.f64 (sin.f64 im) re 1)))
(+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2)))) 1)
(+.f64 (.f64 (sin.f64 im) (+.f64 re (+.f64 1 (.f64 re (*.f64 re 1/2))))) 1)
(+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))) 1)
(+.f64 (sin.f64 im) (+.f64 1 (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))))
(+.f64 (sin.f64 im) (+.f64 (fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))) 1))
(+.f64 (+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (pow.f64 re 3) (*.f64 (sin.f64 im) 1/6)))) 1)
(+.f64 (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))) (fma.f64 (+.f64 re 1) (sin.f64 im) 1))
(+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)))) 1)
(+.f64 (.f64 (sin.f64 im) (+.f64 re (+.f64 1 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))) 1)
(+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
1
(+.f64 1 (*.f64 (exp.f64 re) im))
(+.f64 (*.f64 im (exp.f64 re)) 1)
(fma.f64 im (exp.f64 re) 1)
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 1 (*.f64 (exp.f64 re) im)))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (+.f64 (.f64 im (exp.f64 re)) 1))
(fma.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 im (exp.f64 re) 1))
(+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) im)) 1)
(+.f64 (.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) 1)
(+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 1 (*.f64 (exp.f64 re) im))))
(fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (+.f64 (*.f64 im (exp.f64 re)) 1)))
(fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 im (exp.f64 re) 1)))
(+.f64 (.f64 (exp.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))) (fma.f64 -1/6 (*.f64 (exp.f64 re) (pow.f64 im 3)) 1))
(+.f64 1 (.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3))) im)))
(+.f64 1 (.f64 (exp.f64 re) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3))))))
(+.f64 1 (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)
(+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(fma.f64 (sin.f64 im) (exp.f64 re) 1)

eval52.0ms (0.9%)

Compiler: Compiled 2666 to 1397 computations (47.6% saved)

prune36.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	193	6	199
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	194	10	204

Error

Counts

204 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.3b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
▶	41.3b	(*.f64 (+.f64 1 re) im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
	41.1b	im
✓	20.3b	(sin.f64 im)
▶	42.2b	(-.f64 1 1)
✓	21.3b	(*.f64 (exp.f64 re) im)
▶	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 140 to 106 computations (24.3% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 1/2 (.f64 re re)))
✓	1.0b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Compiler

Compiled 40 to 21 computations (47.5% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
1.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
1.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
1.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
0.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

rewrite81.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
546×	`fma-def_binary64`
450×	`pow-prod-down_binary64`
308×	`pow2_binary64`
281×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	242	27
2	3411	27

Stop Event

1×	node limit

Counts

2 → 147

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 re (sin.f64 im)) (*.f64 (fma.f64 re (*.f64 re 1/2) 1) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) 1) (*.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 im) re) (*.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) 3) (*.f64 (pow.f64 (sin.f64 im) 3) (*.f64 (pow.f64 re 6) 1/8))) (+.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) 2) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))) 2) (*.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) 2) (pow.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))) 2)) (-.f64 (*.f64 (sin.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (sin.f64 im)) (fma.f64 (*.f64 re (*.f64 re 1/2)) (fma.f64 re (*.f64 re 1/2) (neg.f64 (+.f64 re 1))) (pow.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (*.f64 (pow.f64 re 4) 1/4)) (sin.f64 im)) (+.f64 re (-.f64 1 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 im) (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))) (fma.f64 (*.f64 re (*.f64 re 1/2)) (fma.f64 re (*.f64 re 1/2) (neg.f64 (+.f64 re 1))) (pow.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 im) (-.f64 (pow.f64 (+.f64 re 1) 2) (*.f64 (pow.f64 re 4) 1/4))) (+.f64 re (-.f64 1 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im)))) (exp.f64 (*.f64 (sin.f64 im) (+.f64 re 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re 1/2) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 im) re (*.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 im) (+.f64 re 1) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 im) (*.f64 re (*.f64 re 1/2)) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (sin.f64 im) (*.f64 (fma.f64 re (*.f64 re 1/2) 1) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 re 1) (sin.f64 im) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re re) (*.f64 1/2 (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (*.f64 re 1/2)) (sin.f64 im) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 re 4) 1/4)) (*.f64 (cbrt.f64 (*.f64 re (*.f64 re 1/2))) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (*.f64 (cbrt.f64 (+.f64 re 1)) (sin.f64 im)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 re 1)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (*.f64 re (*.f64 re 1/2))) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sqrt.f64 1/2)) (*.f64 (*.f64 re (sqrt.f64 1/2)) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 re 1)) (*.f64 (sqrt.f64 (+.f64 re 1)) (sin.f64 im)) (*.f64 1/2 (*.f64 (*.f64 re re) (sin.f64 im))))))) 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simplify132.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-rgt-in_binary64`
1069×	`distribute-lft-in_binary64`
837×	`*-commutative_binary64`
434×	`unswap-sqr_binary64`
236×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	575
1	114	573
2	372	521
3	1790	497
4	3573	497
5	3993	497
6	4688	497
7	4788	497
8	4896	497
9	5034	497
10	7562	497
11	7944	497

Stop Event

1×	node limit

Counts

183 → 174

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im)
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (.f64 -1/6 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))) (.f64 1/120 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 5)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (+.f64 (.f64 -1/5040 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))) (.f64 1/120 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 5))))))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
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 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im)
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) im)
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) im)
(+.f64 im (.f64 im (fma.f64 1/2 (.f64 re re) re)))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (.f64 -1/6 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))))
(fma.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) im (.f64 -1/6 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 3))))
(fma.f64 -1/6 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 3)) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))) (.f64 1/120 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 5)))))
(fma.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) im (fma.f64 -1/6 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 3)) (.f64 1/120 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 5)))))
(fma.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) im (fma.f64 -1/6 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 3)) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 (pow.f64 im 5) 1/120))))
(fma.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 1/120 (pow.f64 im 5)) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (.f64 -1/6 (pow.f64 im 3))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/6 (pow.f64 im 3)))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) im) (+.f64 (.f64 -1/5040 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 3))) (.f64 1/120 (.f64 (+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 5))))))
(fma.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) im (fma.f64 -1/5040 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 7)) (fma.f64 -1/6 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 3)) (.f64 1/120 (.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (pow.f64 im 5))))))
(fma.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) im (fma.f64 -1/5040 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 7)) (fma.f64 -1/6 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (pow.f64 im 3)) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (.f64 (pow.f64 im 5) 1/120)))))
(+.f64 (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5))) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (*.f64 1/120 (pow.f64 im 5)))))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (+.f64 re 1) (sin.f64 im))
(fma.f64 re (sin.f64 im) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (*.f64 re (sin.f64 im)))
(.f64 (sin.f64 im) (fma.f64 1/2 (.f64 re re) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im))))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (*.f64 re (sin.f64 im)))
(.f64 (sin.f64 im) (fma.f64 1/2 (.f64 re re) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(.f64 (fma.f64 1/2 (.f64 re re) (+.f64 re 1)) (sin.f64 im))
(.f64 (+.f64 re (fma.f64 1/2 (.f64 re re) 1)) (sin.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 (*.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 1/2 (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)
(+.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 (*.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 1/2 (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)
(+.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 (*.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))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

Outputs
im
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	0.2b	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
✓	2.1b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series10.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
1.0ms	im	@	inf	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	inf	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	0	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	-inf	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))

rewrite99.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
568×	`fma-def_binary64`
422×	`log-prod_binary64`
280×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	207	19
2	3058	19

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify135.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`distribute-rgt-in_binary64`
979×	`fma-def_binary64`
426×	`unswap-sqr_binary64`
383×	`distribute-lft-in_binary64`
375×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	532
1	108	530
2	301	500
3	1092	478
4	3742	478
5	5459	478
6	5921	478
7	6640	478
8	6743	478
9	6883	478
10	7077	478

Stop Event

1×	node limit

Counts

240 → 215

Calls

Call 1

Inputs
(*.f64 (+.f64 1 re) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
1
(+.f64 1 (*.f64 (+.f64 1 re) im))
(+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))))
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))

Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (.f64 -1/6 re))))
(.f64 (+.f64 1 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (*.f64 -1/6 re)))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im)))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 -1/5040 (.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 1 re)))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (.f64 (+.f64 1 re) (+.f64 im (.f64 -1/5040 (pow.f64 im 7))))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5))) (fma.f64 -1/5040 (pow.f64 im 7) im)))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
1
(+.f64 1 (*.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im 1)
(+.f64 1 (fma.f64 re im im))
(+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 1 (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im)))
(+.f64 1 (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (.f64 -1/6 re)))))
(+.f64 (fma.f64 re im im) (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) 1))
(fma.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im) 1)
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (+.f64 1 (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im))))
(+.f64 1 (fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (*.f64 -1/6 re))))))
(+.f64 1 (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im))))
(+.f64 1 (.f64 (+.f64 1 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im))))
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) 1)
(+.f64 1 (sin.f64 im))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6))))
✓	0.1b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6)))
✓	0.4b	(*.f64 re 1/6)
✓	0.7b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series7.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
1.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
0.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
0.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6)))
0.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))

rewrite105.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
741×	`fma-def_binary64`
354×	`fma-neg_binary64`
272×	`log1p-udef_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	319	50
2	4634	50

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify189.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

932×	`unswap-sqr_binary64`
804×	`*-commutative_binary64`
396×	`distribute-lft-out_binary64`
386×	`fma-def_binary64`
377×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	984
1	176	892
2	542	781
3	3003	751
4	3600	751
5	4091	751
6	4676	751
7	4812	751
8	4948	751
9	5606	751
10	5838	751
11	6147	751
12	7803	751

Stop Event

1×	node limit

Counts

295 → 273

Calls

Call 1

Inputs
(.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) im))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) im) (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) (pow.f64 im 5)))))
(+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) im) (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) (pow.f64 im 5))))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.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)))
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 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) im)
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) im)
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) im)
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) im))
(fma.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 3)) (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) im))
(fma.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) im (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) im) (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) (pow.f64 im 5)))))
(fma.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 3)) (fma.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) im (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 5)))))
(fma.f64 -1/6 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 3)) (fma.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) im (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 (pow.f64 im 5) 1/120))))
(fma.f64 (pow.f64 im 3) (fma.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re) -1/6 -1/6) (.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) im) (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 7)) (fma.f64 -1/6 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 3)) (fma.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) im (.f64 1/120 (.f64 (+.f64 1 (+.f64 re (.f64 (.f64 re re) (fma.f64 1/6 re 1/2)))) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 7)) (fma.f64 -1/6 (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (pow.f64 im 3)) (fma.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) im (.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (.f64 (pow.f64 im 5) 1/120)))))
(+.f64 (.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5))) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (*.f64 1/120 (pow.f64 im 5)))))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 (sin.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)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))))
(+.f64 (sin.f64 im) (fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (*.f64 re (sin.f64 im))))
(.f64 (sin.f64 im) (+.f64 1 (fma.f64 re (.f64 re 1/2) re)))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 (sin.f64 im) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (.f64 re re) (sin.f64 im))))
(fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (.f64 re re) (.f64 1/2 (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 (fma.f64 re 1/6 1/2) (sin.f64 im)))
(.f64 (fma.f64 re 1/6 1/2) (.f64 (*.f64 re re) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (.f64 re re) (sin.f64 im)))))
(fma.f64 re (sin.f64 im) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (.f64 re re) (.f64 1/2 (sin.f64 im)))))
(.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 (sin.f64 im) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (.f64 re re) (sin.f64 im))))
(fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (.f64 re re) (.f64 1/2 (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 (fma.f64 re 1/6 1/2) (sin.f64 im)))
(.f64 (fma.f64 re 1/6 1/2) (.f64 (*.f64 re re) (sin.f64 im)))
(+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (.f64 re re) (sin.f64 im)))))
(fma.f64 re (sin.f64 im) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (.f64 re re) (.f64 1/2 (sin.f64 im)))))
(.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 (+.f64 1 (+.f64 re (.f64 (*.f64 re re) (fma.f64 1/6 re 1/2)))) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 (.f64 re re) (fma.f64 re 1/6 1/2) re)) (sin.f64 im))
(.f64 (+.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) re)) (sin.f64 im))
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/2 (pow.f64 re 2))
(.f64 (.f64 re re) 1/2)
(.f64 re (.f64 re 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 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 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 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 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 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 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 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 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)))
1
(+.f64 1 re)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 1 re))
(+.f64 re (fma.f64 (*.f64 re re) 1/2 1))
(+.f64 1 (fma.f64 re (*.f64 re 1/2) re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 1 re)))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) (+.f64 1 re)))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 1 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re))
(*.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 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)
(fma.f64 re (*.f64 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)))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) (+.f64 1 re)))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 1 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re))
(*.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 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)
(fma.f64 re (*.f64 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)))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) (+.f64 1 re)))
(+.f64 1 (fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) re))
(+.f64 1 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re))

eval257.0ms (4.6%)

Compiler: Compiled 13195 to 8171 computations (38.1% saved)

prune102.0ms (1.8%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	720	2	722
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	720	12	732

Error

Counts

732 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.3b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
✓	41.3b	(*.f64 (+.f64 1 re) im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
	41.1b	im
▶	61.5b	(*.f64 re im)
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.3b	(sin.f64 im)
✓	42.2b	(-.f64 1 1)
▶	58.3b	(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
✓	21.3b	(*.f64 (exp.f64 re) im)
✓	20.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 100 to 74 computations (26% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 im (*.f64 re im))
✓	1.9b	(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series4.0ms (0.1%)

Counts

2 → 42

Calls

12 calls:

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

rewrite80.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`fma-def_binary64`
398×	`log-prod_binary64`
351×	`prod-exp_binary64`
330×	`fma-neg_binary64`
298×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	188	10
2	2897	10

Stop Event

1×	node limit

Counts

2 → 252

Calls

Call 1

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

Outputs

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

simplify21.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

63×	`fma-neg_binary64`
62×	`fma-def_binary64`
22×	`unsub-neg_binary64`
17×	`associate-l_binary64`
15×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	198
1	31	198
2	65	198
3	132	198
4	222	198
5	322	198
6	387	198

Stop Event

1×

saturated

Counts

294 → 139

Calls

Call 1

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

Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
im
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(*.f64 re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(*.f64 re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 re im im)
im
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(*.f64 re im)
(*.f64 re im)

eval33.0ms (0.6%)

Compiler: Compiled 1767 to 800 computations (54.7% saved)

prune24.0ms (0.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	1	0	1
Picked	0	1	1
Done	0	10	10
Total	139	12	151

Error

Counts

151 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	37.3b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
✓	41.3b	(*.f64 (+.f64 1 re) im)
	41.1b	im
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
✓	61.5b	(*.f64 re im)
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	20.3b	(sin.f64 im)
✓	42.2b	(-.f64 1 1)
✓	58.3b	(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
✓	21.3b	(*.f64 (exp.f64 re) im)
✓	20.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 100 to 74 computations (26% saved)

regimes50.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	re
12.0ms	im
9.0ms	(sin.f64 im)
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 109 to 63 computations (42.2% saved)

regimes118.0ms (2.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))

Calls

6 calls:

32.0ms	(sin.f64 im)
28.0ms	(sin.f64 im)
27.0ms	im
16.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
10.0b	3	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
10.3b	3	`(sin.f64 im)`
10.3b	3	`(sin.f64 im)`

Compiler

Compiled 96 to 59 computations (38.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999997854698284

Compiler

Compiled 12 to 9 computations (25% saved)

regimes109.0ms (2%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Calls

6 calls:

31.0ms	(sin.f64 im)
29.0ms	im
26.0ms	(sin.f64 im)
13.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.5b	2	`re`
10.0b	3	`im`
0.5b	2	`(exp.f64 re)`
0.5b	2	`(exp.f64 re)`
10.3b	3	`(sin.f64 im)`
10.3b	3	`(sin.f64 im)`

Compiler

Compiled 80 to 50 computations (37.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9999997854698284

Compiler

Compiled 12 to 9 computations (25% saved)

regimes104.0ms (1.9%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

30.0ms	im
27.0ms	(sin.f64 im)
25.0ms	(sin.f64 im)
12.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
10.1b	3	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
10.3b	3	`(sin.f64 im)`
10.3b	3	`(sin.f64 im)`

Compiler

Compiled 68 to 43 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999997854698284	0.9999999951149667

Compiler

Compiled 12 to 9 computations (25% saved)

regimes78.0ms (1.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	(sin.f64 im)
21.0ms	(sin.f64 im)
20.0ms	im
11.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.9b	2	`re`
10.3b	3	`im`
0.9b	2	`(exp.f64 re)`
10.4b	3	`(sin.f64 im)`
10.4b	3	`(sin.f64 im)`

Compiler

Compiled 48 to 30 computations (37.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999997854698284	0.9999999951149667

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.7%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(sin.f64 im)

Calls

3 calls:

14.0ms	im
14.0ms	(sin.f64 im)
10.0ms	re

Results

Error	Segments	Branch
1.0b	2	`re`
18.8b	3	`im`
19.0b	3	`(sin.f64 im)`

Compiler

Compiled 36 to 22 computations (38.9% saved)

bsearch46.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	-4071.3501785115686	-2.1453019458659847e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(*.f64 (+.f64 1 re) im)

Calls

2 calls:

14.0ms	im
10.0ms	re

Results

Error	Segments	Branch
21.7b	2	`re`
29.5b	3	`im`

Compiler

Compiled 30 to 18 computations (40% saved)

bsearch46.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	-4071.3501785115686	-2.1453019458659847e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

12.0ms	im
7.0ms	re

Results

Error	Segments	Branch
21.8b	2	`re`
29.5b	3	`im`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch46.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
46.0ms	-4071.3501785115686	-2.1453019458659847e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.2%)

Accuracy

Total -20.8b remaining (-50.6%)

Threshold costs -20.8b (-50.6%)

Counts

3 → 1

Calls

Call 1

Inputs
im
im
(*.f64 re im)

Outputs
im

Calls

2 calls:

5.0ms	im
4.0ms	re

Results

Error	Segments	Branch
41.1b	1	`re`
41.1b	1	`im`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
4×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	141
1	53	141

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 9007197453301141/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 9007197453301141/9007199254740992) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) (*.f64 (+.f64 1 re) im))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) 0 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) 0 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 9007197453301141/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 9007197453301141/9007199254740992) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -4476496862021363/1099511627776) 0 (sin.f64 im))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) (*.f64 (+.f64 1 re) im))
(if (<=.f64 re -4476496862021363/1099511627776) 0 (*.f64 im (+.f64 re 1)))
(if (<=.f64 re -4476496862021363/1099511627776) (-.f64 1 1) im)
(if (<=.f64 re -4476496862021363/1099511627776) 0 im)
im

Compiler

Compiled 113 to 81 computations (28.3% saved)

soundness0.0ms (0%)

end62.0ms (1.1%)

Compiler: Compiled 97 to 54 computations (44.3% saved)

Details

analyze70.0ms (1.3%)

sample2.4s (43.6%)

preprocess19.0ms (0.3%)

simplify9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite43.0ms (0.8%)

simplify95.0ms (1.7%)

eval9.0ms (0.2%)

prune6.0ms (0.1%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite38.0ms (0.7%)

simplify137.0ms (2.5%)

localize21.0ms (0.4%)

series6.0ms (0.1%)

rewrite66.0ms (1.2%)

simplify112.0ms (2%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

rewrite70.0ms (1.3%)

simplify113.0ms (2%)

eval52.0ms (0.9%)

prune36.0ms (0.6%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite81.0ms (1.5%)

simplify132.0ms (2.4%)

localize3.0ms (0.1%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite48.0ms (0.9%)

simplify9.0ms (0.2%)

localize15.0ms (0.3%)

series10.0ms (0.2%)

rewrite99.0ms (1.8%)

simplify135.0ms (2.4%)

localize26.0ms (0.5%)

series7.0ms (0.1%)

rewrite105.0ms (1.9%)

simplify189.0ms (3.4%)

eval257.0ms (4.6%)

prune102.0ms (1.8%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series4.0ms (0.1%)

rewrite80.0ms (1.4%)

simplify21.0ms (0.4%)

eval33.0ms (0.6%)

prune24.0ms (0.4%)

regimes50.0ms (0.9%)

regimes118.0ms (2.1%)

bsearch0.0ms (0%)

regimes109.0ms (2%)

bsearch0.0ms (0%)

regimes104.0ms (1.9%)

bsearch0.0ms (0%)

regimes78.0ms (1.4%)

bsearch0.0ms (0%)

regimes40.0ms (0.7%)

bsearch46.0ms (0.8%)

regimes25.0ms (0.5%)

bsearch46.0ms (0.8%)

regimes20.0ms (0.4%)

bsearch46.0ms (0.8%)

regimes10.0ms (0.2%)

simplify8.0ms (0.1%)

soundness0.0ms (0%)

end62.0ms (1.1%)

Profiling