Details

analyze83.0ms (1.4%)

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)

sample2.9s (49.6%)

Results

1.1s	6132×	body	256	valid
917.0ms	1434×	body	1024	valid
452.0ms	711×	body	1024	invalid
182.0ms	687×	body	512	valid
150.0ms	339×	body	512	invalid
73.0ms	500×	body	256	invalid
5.0ms	3×	body	2048	valid

preprocess17.0ms (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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval2.0ms (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)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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

Outputs

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

simplify92.0ms (1.6%)

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))

eval6.0ms (0.1%)

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

prune7.0ms (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
▶	22.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	19.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	19.0b	(sin.f64 im)
▶	23.1b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize4.0ms (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)

series4.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

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

rewrite51.0ms (0.9%)

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)))))))

simplify140.0ms (2.4%)

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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (1%)

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))))))

simplify108.0ms (1.8%)

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))

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.3b	(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series9.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
404×	`*-commutative_binary64`
381×	`distribute-rgt-in_binary64`
368×	`distribute-lft-in_binary64`
326×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	568
1	136	554
2	404	512
3	1884	462
4	5611	462

Stop Event

1×	node limit

Counts

92 → 67

Calls

Call 1

Inputs
(sqrt.f64 (sin.f64 im))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 1/2 (.f64 (sqrt.f64 (sin.f64 im)) re)))
(+.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (.f64 (pow.f64 re 3) (-.f64 (.f64 1/6 (sin.f64 im)) (.f64 1/2 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2))))))) (+.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (.f64 1/2 (.f64 (sqrt.f64 (sin.f64 im)) re)))))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 (-.f64 (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/4 (sin.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/4 (sin.f64 im))) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 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 (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
(sqrt.f64 (sin.f64 im))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 1/2 (.f64 (sqrt.f64 (sin.f64 im)) re)))
(fma.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re) (sqrt.f64 (sin.f64 im)))
(.f64 (+.f64 (.f64 1/2 re) 1) (sqrt.f64 (sin.f64 im)))
(.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 (.f64 1/2 re)))
(+.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (.f64 1/2 (*.f64 (sqrt.f64 (sin.f64 im)) re))))
(+.f64 (sqrt.f64 (sin.f64 im)) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (.f64 re re) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (*.f64 (sqrt.f64 (sin.f64 im)) re))))
(fma.f64 1/2 (fma.f64 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (.f64 re re) (sqrt.f64 (/.f64 1 (sin.f64 im)))) (*.f64 (sqrt.f64 (sin.f64 im)) re)) (sqrt.f64 (sin.f64 im)))
(fma.f64 1/2 (fma.f64 (sqrt.f64 (sin.f64 im)) re (.f64 re (.f64 re (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (sin.f64 im) -1/4)) (sqrt.f64 (/.f64 1 (sin.f64 im))))))) (sqrt.f64 (sin.f64 im)))
(fma.f64 1/2 (.f64 re (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (.f64 re (.f64 (sin.f64 im) 1/4))))) (sqrt.f64 (sin.f64 im)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (.f64 (pow.f64 re 3) (-.f64 (.f64 1/6 (sin.f64 im)) (.f64 1/2 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2))))))) (+.f64 (sqrt.f64 (sin.f64 im)) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (.f64 1/2 (.f64 (sqrt.f64 (sin.f64 im)) re)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (.f64 (pow.f64 re 3) (-.f64 (.f64 (sin.f64 im) 1/6) (.f64 1/2 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)))))) (+.f64 (sqrt.f64 (sin.f64 im)) (.f64 1/2 (+.f64 (.f64 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (.f64 re re) (sqrt.f64 (/.f64 1 (sin.f64 im))))) (*.f64 (sqrt.f64 (sin.f64 im)) re)))))
(fma.f64 1/2 (.f64 (fma.f64 (sin.f64 im) 1/6 (.f64 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) -1/2)) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (pow.f64 re 3))) (fma.f64 1/2 (fma.f64 (-.f64 (.f64 (sin.f64 im) 1/2) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (.f64 re re) (sqrt.f64 (/.f64 1 (sin.f64 im)))) (.f64 (sqrt.f64 (sin.f64 im)) re)) (sqrt.f64 (sin.f64 im))))
(fma.f64 1/2 (.f64 (pow.f64 re 3) (.f64 (sqrt.f64 (/.f64 1 (sin.f64 im))) (fma.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (sin.f64 im) -1/4)) -1/2 (.f64 (sin.f64 im) 1/6)))) (fma.f64 1/2 (fma.f64 (sqrt.f64 (sin.f64 im)) re (.f64 re (.f64 re (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (sin.f64 im) -1/4)) (sqrt.f64 (/.f64 1 (sin.f64 im))))))) (sqrt.f64 (sin.f64 im))))
(+.f64 (.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 (.f64 1/2 re))) (.f64 (.f64 1/2 (.f64 re (.f64 re (sqrt.f64 (/.f64 1 (sin.f64 im)))))) (+.f64 (.f64 re (fma.f64 1/2 (.f64 (sin.f64 im) -1/4) (.f64 (sin.f64 im) 1/6))) (.f64 (sin.f64 im) 1/4))))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 (-.f64 (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/4 (sin.f64 im))) (pow.f64 (*.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 (.f64 re re) (-.f64 (.f64 (sin.f64 im) 3/4) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)))))
(+.f64 (sin.f64 im) (fma.f64 (.f64 re re) (-.f64 (.f64 (sin.f64 im) 3/4) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) re (fma.f64 (.f64 re re) (fma.f64 (sin.f64 im) 3/4 (.f64 (sin.f64 im) -1/4)) (sin.f64 im)))
(.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 (-.f64 (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/4 (sin.f64 im))) (pow.f64 (.f64 1/2 (sqrt.f64 (sin.f64 im))) 2)) (pow.f64 re 2)) (.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3))))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 (-.f64 (.f64 (sin.f64 im) 3/4) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 re re) (.f64 1/6 (*.f64 (sin.f64 im) (pow.f64 re 3))))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 (.f64 re re) (-.f64 (.f64 (sin.f64 im) 3/4) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) 1/2) 2)) (.f64 (sin.f64 im) (.f64 1/6 (pow.f64 re 3)))))
(+.f64 (sin.f64 im) (fma.f64 (.f64 re re) (fma.f64 (sin.f64 im) 3/4 (.f64 (sin.f64 im) -1/4)) (.f64 (sin.f64 im) (+.f64 (.f64 (pow.f64 re 3) 1/6) re))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (.f64 (sin.f64 im) (.f64 re re)) (+.f64 (.f64 re 1/6) 1/2)))
(*.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 (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))

eval36.0ms (0.6%)

Compiler: Compiled 1895 to 899 computations (52.6% saved)

prune23.0ms (0.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	147	10	157

Error

Counts

157 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.5b	(*.f64 (sin.f64 im) re)
▶	41.7b	(+.f64 (*.f64 re im) im)
✓	22.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	19.0b	(sin.f64 im)
▶	34.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
	41.4b	im
✓	23.1b	(*.f64 (exp.f64 re) im)
▶	19.1b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Compiler

Compiled 77 to 56 computations (27.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 im) re)

Compiler

Compiled 10 to 4 computations (60% saved)

series4.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

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

rewrite40.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
429×	`fabs-mul_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	76
1	64	76
2	166	73
3	487	62
4	1403	60
5	2277	58
6	2574	58
7	3114	58
8	4045	58
9	4188	58
10	4415	58
11	4801	58
12	5397	58
13	6270	58
14	7377	58

Stop Event

1×	node limit

Counts

15 → 18

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 re re))
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 1/2 (.f64 re re)))
✓	2.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Compiler

Compiled 40 to 21 computations (47.5% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite78.0ms (1.3%)

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	38
1	242	34
2	3411	34

Stop Event

1×	node limit

Counts

3 → 167

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

simplify130.0ms (2.2%)

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	659
1	114	657
2	372	605
3	1790	581
4	3573	581
5	3993	581
6	4688	581
7	4788	581
8	4896	581
9	5034	581
10	7562	581
11	7944	581

Stop Event

1×	node limit

Counts

215 → 194

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))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))

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))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite47.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	112	5
2	1610	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-def_binary64`
59×	`fma-neg_binary64`
21×	`unsub-neg_binary64`
17×	`associate-l_binary64`
15×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	135
1	30	99
2	65	99
3	132	99
4	224	99
5	323	99
6	383	99

Stop Event

1×

saturated

Counts

61 → 46

Calls

Call 1

Inputs
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)))

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

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	0.3b	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
✓	4.1b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite80.0ms (1.4%)

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

simplify131.0ms (2.2%)

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)

eval163.0ms (2.8%)

Compiler: Compiled 7936 to 4737 computations (40.3% saved)

prune83.0ms (1.4%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	506	4	510
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	507	13	520

Error

Counts

520 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	61.6b	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
✓	61.5b	(*.f64 (sin.f64 im) re)
✓	41.7b	(+.f64 (*.f64 re im) im)
	41.4b	im
▶	57.1b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 re) im)) 1)
✓	22.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.0b	(sin.f64 im)
✓	34.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
▶	61.6b	(*.f64 re im)
▶	43.2b	(-.f64 1 1)
✓	19.1b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Compiler

Compiled 102 to 76 computations (25.5% saved)

localize6.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 re re))
✓	2.3b	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series7.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
1.0ms	im	@	0	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
1.0ms	im	@	-inf	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
1.0ms	re	@	inf	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
1.0ms	re	@	0	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`pow1_binary64`
680×	`add-log-exp_binary64`
680×	`log1p-expm1-u_binary64`
680×	`expm1-log1p-u_binary64`
665×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	162	12
2	1897	12

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1419×	`fma-def_binary64`
1256×	`distribute-lft-out_binary64`
1076×	`unswap-sqr_binary64`
389×	`*-commutative_binary64`
216×	`sqr-pow_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	31	358
1	86	358
2	257	344
3	921	326
4	2417	326
5	3086	326
6	3155	326
7	3243	326
8	3347	326
9	3470	322
10	6631	322

Stop Event

1×	node limit

Counts

37 → 23

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))

Outputs
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(.f64 1/2 (.f64 (*.f64 re re) im))
(.f64 im (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 re (*.f64 re im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/2 (.f64 (*.f64 re re) im)))
(fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (pow.f64 im 3) (.f64 (*.f64 re re) -1/12)))
(.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/12 (pow.f64 im 3))))
(.f64 (.f64 re re) (fma.f64 -1/12 (pow.f64 im 3) (*.f64 1/2 im)))
(.f64 re (.f64 re (fma.f64 -1/12 (pow.f64 im 3) (*.f64 1/2 im))))
(.f64 re (.f64 re (.f64 im (fma.f64 -1/12 (.f64 im im) 1/2))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(fma.f64 1/240 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/2 (.f64 (*.f64 re re) im))))
(fma.f64 1/240 (.f64 re (.f64 re (pow.f64 im 5))) (fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (pow.f64 im 3) (.f64 (*.f64 re re) -1/12))))
(fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (.f64 1/240 (pow.f64 im 5)))))
(.f64 (.f64 re re) (+.f64 (fma.f64 1/240 (pow.f64 im 5) (.f64 1/2 im)) (.f64 -1/12 (pow.f64 im 3))))
(.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (fma.f64 -1/12 (pow.f64 im 3) (.f64 1/240 (pow.f64 im 5)))))
(.f64 (.f64 re re) (fma.f64 1/2 im (fma.f64 -1/12 (pow.f64 im 3) (*.f64 1/240 (pow.f64 im 5)))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(fma.f64 1/240 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (fma.f64 -1/10080 (.f64 (.f64 re re) (pow.f64 im 7)) (.f64 1/2 (.f64 (*.f64 re re) im)))))
(fma.f64 1/240 (.f64 re (.f64 re (pow.f64 im 5))) (fma.f64 -1/12 (.f64 re (.f64 re (pow.f64 im 3))) (fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (pow.f64 im 7) (.f64 (*.f64 re re) -1/10080)))))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (.f64 -1/10080 (pow.f64 im 7)))) (.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 1/240 (pow.f64 im 5)))))
(.f64 (.f64 re re) (+.f64 (fma.f64 1/240 (pow.f64 im 5) (.f64 1/2 im)) (fma.f64 -1/12 (pow.f64 im 3) (.f64 -1/10080 (pow.f64 im 7)))))
(.f64 (.f64 re re) (+.f64 (fma.f64 -1/12 (pow.f64 im 3) (.f64 -1/10080 (pow.f64 im 7))) (fma.f64 1/240 (pow.f64 im 5) (.f64 1/2 im))))
(.f64 (.f64 re re) (fma.f64 im (fma.f64 -1/12 (.f64 im im) 1/2) (fma.f64 1/240 (pow.f64 im 5) (.f64 -1/10080 (pow.f64 im 7)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))

localize3.0ms (0%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 re) im)
✓	3.8b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 re) im)) 1)

Compiler

Compiled 29 to 20 computations (31% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

12 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
886×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
96×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	182	14
2	2661	14

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify13.0ms (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	9	168
1	16	168
2	23	168
3	29	168
4	42	168
5	46	168
6	48	168

Stop Event

1×

saturated

Counts

133 → 63

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

eval29.0ms (0.5%)

Compiler: Compiled 1367 to 831 computations (39.2% saved)

prune21.0ms (0.4%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	1	1
Picked	0	1	1
Done	0	11	11
Total	105	14	119

Error

Counts

119 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	19.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	61.6b	(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
✓	61.5b	(*.f64 (sin.f64 im) re)
✓	41.7b	(+.f64 (*.f64 re im) im)
	41.4b	im
✓	57.1b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 re) im)) 1)
✓	22.2b	(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.0b	(sin.f64 im)
✓	34.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
✓	61.6b	(*.f64 re im)
	61.7b	(.f64 1/2 (.f64 re (*.f64 re im)))
✓	43.2b	(-.f64 1 1)
✓	19.1b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))

Compiler

Compiled 111 to 82 computations (26.1% saved)

regimes43.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(sin.f64 im)
10.0ms	re
9.0ms	im
8.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 110 to 60 computations (45.5% saved)

regimes164.0ms (2.8%)

Counts

13 → 2

Calls

Call 1

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

53.0ms	(sin.f64 im)
51.0ms	(sin.f64 im)
34.0ms	im
15.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.3b	2	`re`
9.3b	3	`im`
0.3b	2	`(exp.f64 re)`
0.3b	2	`(exp.f64 re)`
7.5b	7	`(sin.f64 im)`
7.5b	7	`(sin.f64 im)`

Compiler

Compiled 98 to 57 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9985097058671427

Compiler

Compiled 12 to 9 computations (25% saved)

regimes180.0ms (3.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

61.0ms	im
45.0ms	(sin.f64 im)
28.0ms	re
26.0ms	(sin.f64 im)
8.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.5b	2	`re`
9.3b	3	`im`
0.5b	2	`(exp.f64 re)`
0.5b	2	`(exp.f64 re)`
9.6b	3	`(sin.f64 im)`
9.6b	3	`(sin.f64 im)`

Compiler

Compiled 86 to 51 computations (40.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9985097058671427

Compiler

Compiled 12 to 9 computations (25% saved)

regimes150.0ms (2.5%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	im
35.0ms	(sin.f64 im)
34.0ms	(sin.f64 im)
24.0ms	re
7.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.8b	2	`re`
9.5b	3	`im`
0.8b	2	`(exp.f64 re)`
9.8b	3	`(sin.f64 im)`
9.8b	3	`(sin.f64 im)`

Compiler

Compiled 58 to 34 computations (41.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9985097058671427

Compiler

Compiled 12 to 9 computations (25% saved)

regimes70.0ms (1.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

47.0ms	im
20.0ms	re

Results

Error	Segments	Branch
23.1b	2	`re`
30.9b	5	`im`

Compiler

Compiled 36 to 21 computations (41.7% saved)

bsearch54.0ms (0.9%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	-505223732.68938416	-0.001491405725695908

Compiler

Compiled 12 to 9 computations (25% saved)

regimes52.0ms (0.9%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

36.0ms	im
15.0ms	re

Results

Error	Segments	Branch
23.1b	2	`re`
30.9b	5	`im`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch45.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-505223732.68938416	-0.001491405725695908

Compiler

Compiled 12 to 9 computations (25% saved)

regimes17.0ms (0.3%)

Accuracy

Total -20.6b remaining (-49.7%)

Threshold costs -20.6b (-49.7%)

Counts

2 → 1

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im

Calls

2 calls:

7.0ms	re
7.0ms	im

Results

Error	Segments	Branch
41.4b	1	`re`
41.4b	1	`im`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	88
1	36	88

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 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -2169919409063951104/4294967296) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -2169919409063951104/4294967296) (-.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 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) 0 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) 0 (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) 0 (sin.f64 im))
(if (<=.f64 re -2169919409063951104/4294967296) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -8476247691656059/16777216) 0 (+.f64 im (*.f64 re im)))
(if (<=.f64 re -2169919409063951104/4294967296) (-.f64 1 1) im)
(if (<=.f64 re -8476247691656059/16777216) 0 im)
im

Compiler

Compiled 74 to 55 computations (25.7% saved)

soundness0.0ms (0%)

end95.0ms (1.6%)

Compiler: Compiled 62 to 37 computations (40.3% saved)

Details

analyze83.0ms (1.4%)

sample2.9s (49.6%)

preprocess17.0ms (0.3%)

simplify6.0ms (0.1%)

eval2.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite50.0ms (0.9%)

simplify92.0ms (1.6%)

eval6.0ms (0.1%)

prune7.0ms (0.1%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

series4.0ms (0.1%)

rewrite51.0ms (0.9%)

simplify140.0ms (2.4%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite58.0ms (1%)

simplify108.0ms (1.8%)

localize15.0ms (0.3%)

series9.0ms (0.2%)

rewrite54.0ms (0.9%)

simplify54.0ms (0.9%)

eval36.0ms (0.6%)

prune23.0ms (0.4%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite40.0ms (0.7%)

simplify104.0ms (1.8%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

rewrite78.0ms (1.3%)

simplify130.0ms (2.2%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite47.0ms (0.8%)

simplify15.0ms (0.3%)

localize17.0ms (0.3%)

series3.0ms (0.1%)

rewrite80.0ms (1.4%)

simplify131.0ms (2.2%)

eval163.0ms (2.8%)

prune83.0ms (1.4%)

localize6.0ms (0.1%)

localize10.0ms (0.2%)

series7.0ms (0.1%)

rewrite54.0ms (0.9%)

simplify92.0ms (1.6%)

localize3.0ms (0%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite59.0ms (1%)

simplify13.0ms (0.2%)

eval29.0ms (0.5%)

prune21.0ms (0.4%)

regimes43.0ms (0.7%)

regimes164.0ms (2.8%)

bsearch0.0ms (0%)

regimes180.0ms (3.1%)

bsearch0.0ms (0%)

regimes150.0ms (2.5%)

bsearch0.0ms (0%)

regimes70.0ms (1.2%)

bsearch54.0ms (0.9%)

regimes52.0ms (0.9%)

bsearch45.0ms (0.8%)

regimes17.0ms (0.3%)

simplify11.0ms (0.2%)

soundness0.0ms (0%)

end95.0ms (1.6%)

Profiling