Details

analyze535.0ms (5.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	40.6%	9.5%	7
50%	39%	11%	8
50%	33.6%	16.5%	9
50%	32.4%	17.7%	10
50%	29.5%	20.6%	11
50%	28.8%	21.3%	12
50%	27.3%	22.8%	13
50%	26.9%	23.1%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample6.3s (60.8%)

Results

2.9s	4145×	body	1024	valid
1.2s	2111×	body	1024	invalid
859.0ms	2167×	body	512	valid
389.0ms	1032×	body	512	invalid
290.0ms	1073×	body	256	valid
233.0ms	227×	body	2048	valid
142.0ms	538×	body	256	invalid
122.0ms	826×	body	128	invalid
90.0ms	644×	body	128	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary64`
444×	`times-frac_binary64`
365×	`distribute-rgt-neg-in_binary64`
340×	`fma-neg_binary64`
297×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	23	18
2	51	18
3	126	18
4	286	17
5	581	17
6	1384	17
7	2793	17

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

45.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	45.7b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	45.8b	(*.f64 (sin.f64 re) (fma.f64 (exp.f64 im) -1/2 (/.f64 1/2 (exp.f64 im))))

Compiler

Compiled 76 to 53 computations (30.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
✓	6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series17.0ms (0.2%)

Counts

2 → 32

Calls

2 calls:

15.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
2.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite76.0ms (0.7%)

Algorithm

4×	egg-rewrite
1×	batch-egg-rewrite

Rules

116×	`add-sqr-sqrt_binary64`
109×	`log1p-expm1-u_binary64`
109×	`expm1-log1p-u_binary64`
108×	`add-cbrt-cube_binary64`
108×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	228	20
2	3503	20
0	6	10
1	127	10
2	2077	10
0	6	10
0	11	18
1	228	18
2	3499	18
0	11	18

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 18

Calls

2 calls:

75.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
75.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def_binary64`
411×	`sub-neg_binary64`
240×	`associate-l_binary64`
225×	`cancel-sign-sub-inv_binary64`
221×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	734
1	305	716
2	1029	666
3	4524	666

Stop Event

1×	node limit

Counts

50 → 46

prune40.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Error

0.2b

Counts

48 → 5

Alt Table

Status	Error	Program
✓	45.7b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	49.3b	(fma.f64 1/2 (/.f64 re (exp.f64 im)) (+.f64 (.f64 (.f64 1/12 (pow.f64 re 3)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) (.f64 re -1/2))))
	46.9b	(cbrt.f64 (.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
	46.5b	(.f64 (.f64 1/2 (sin.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
▶	1.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sin.f64 re) (+.f64 (*.f64 (pow.f64 im 7) 1/5040) im)))

Compiler

Compiled 1174 to 618 computations (47.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 im 5) 1/120)
✓	0.1b	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
✓	0.2b	(*.f64 (pow.f64 im 3) 1/6)
✓	0.2b	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im))

series56.0ms (0.5%)

Counts

4 → 72

Calls

4 calls:

26.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
23.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im))
3.0ms	(*.f64 (pow.f64 im 5) 1/120)
3.0ms	(*.f64 (pow.f64 im 3) 1/6)

rewrite37.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`add-sqr-sqrt_binary64`
211×	`log1p-expm1-u_binary64`
211×	`expm1-log1p-u_binary64`
208×	`add-cbrt-cube_binary64`
205×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	46
1	450	46

Stop Event

1×	node limit

Counts

4 → 72

Calls

4 calls:

35.0ms	(*.f64 (pow.f64 im 5) 1/120)
35.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
35.0ms	(*.f64 (pow.f64 im 3) 1/6)
35.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im))

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
600×	`associate-l_binary64`
543×	`associate-r_binary64`
325×	`cancel-sign-sub-inv_binary64`
239×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1214
1	301	1198
2	1173	1146

Stop Event

1×	node limit

Counts

144 → 104

prune163.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	99	10	109

Error

0.1b

Counts

109 → 10

Alt Table

Status	Error	Program
	2.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 3))
✓	45.7b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
▶	1.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im)))
	46.5b	(.f64 (.f64 1/2 (sin.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
	39.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re))) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (-.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 im (sin.f64 re)))))
	49.3b	(fma.f64 1/2 (/.f64 re (exp.f64 im)) (+.f64 (.f64 (.f64 1/12 (pow.f64 re 3)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) (.f64 re -1/2))))
	46.9b	(cbrt.f64 (.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
	35.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 re) 3) (pow.f64 (fma.f64 (pow.f64 im 7) 1/5040 im) 3))))
	35.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)) 3)))
	27.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 2))

Compiler

Compiled 4173 to 2912 computations (30.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))
	0.2b	(.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im))
✓	1.0b	(exp.f64 1/6)
✓	3.1b	(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3)))

series629.0ms (6.1%)

Counts

3 → 36

Calls

3 calls:

369.0ms	(.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))
260.0ms	(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3)))
0.0ms	(exp.f64 1/6)

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

284×	`expm1-udef_binary64`
284×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
160×	`log1p-expm1-u_binary64`
160×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	347	29
2	4245	29

Stop Event

1×	node limit

Counts

3 → 69

Calls

3 calls:

54.0ms	(.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))
54.0ms	(exp.f64 1/6)
54.0ms	(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3)))

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

445×	`distribute-rgt-neg-in_binary64`
429×	`distribute-lft-neg-in_binary64`
415×	`fma-def_binary64`
403×	`associate-l_binary64`
347×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	682
1	178	675
2	701	645
3	3629	645

Stop Event

1×	node limit

Counts

105 → 84

prune188.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	122	10	132

Error

0.1b

Counts

132 → 10

Alt Table

Status	Error	Program
✓	1.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im)))
	46.5b	(.f64 (.f64 1/2 (sin.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
✓	45.7b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	39.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re))) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (-.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 im (sin.f64 re)))))
	49.3b	(fma.f64 1/2 (/.f64 re (exp.f64 im)) (+.f64 (.f64 (.f64 1/12 (pow.f64 re 3)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) (.f64 re -1/2))))
▶	2.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 3))
	46.9b	(cbrt.f64 (.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
	35.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (cbrt.f64 (.f64 (pow.f64 (sin.f64 re) 3) (pow.f64 (fma.f64 (pow.f64 im 7) 1/5040 im) 3))))
	35.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)) 3)))
	27.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 2))

Compiler

Compiled 4779 to 3383 computations (29.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 3)
	1.0b	(exp.f64 1/6)
	3.1b	(log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3)))
✓	11.3b	(cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))

series133.0ms (1.3%)

Counts

2 → 16

Calls

2 calls:

81.0ms	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 3)
52.0ms	(cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))

rewrite41.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

461×	`log-prod_binary64`
272×	`pow2_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	247	28
2	2607	28

Stop Event

1×	node limit

Counts

2 → 65

Calls

2 calls:

40.0ms	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 3)
40.0ms	(cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def_binary64`
479×	`distribute-rgt-in_binary64`
468×	`distribute-lft-in_binary64`
301×	`unswap-sqr_binary64`
266×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	344
1	48	264
2	108	224
3	338	224
4	1499	224

Stop Event

1×	node limit

Counts

81 → 69

prune181.0ms (1.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	107	15	122

Error

0.0b

Counts

122 → 15

Alt Table

Status	Error	Program
	39.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re))) (.f64 (.f64 im (sin.f64 re)) (.f64 im (sin.f64 re)))) (-.f64 (.f64 (.f64 (pow.f64 im 7) 1/5040) (sin.f64 re)) (.f64 im (sin.f64 re)))))
	2.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (.f64 (fma.f64 (pow.f64 im 7) 1/5040 im) (pow.f64 (cbrt.f64 (sin.f64 re)) 2)) (cbrt.f64 (sin.f64 re))))
	49.3b	(fma.f64 1/2 (/.f64 re (exp.f64 im)) (+.f64 (.f64 (.f64 1/12 (pow.f64 re 3)) (-.f64 (exp.f64 im) (exp.f64 (neg.f64 im)))) (.f64 (exp.f64 im) (.f64 re -1/2))))
	3.3b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 2))))
	46.9b	(cbrt.f64 (.f64 (.f64 (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))) (.f64 1/2 (.f64 (sin.f64 re) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))))
	3.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)))) 2)) 3))
✓	1.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 7) 1/5040) im)))
	46.5b	(.f64 (.f64 1/2 (sin.f64 re)) (expm1.f64 (log1p.f64 (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))
✓	45.7b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	34.6b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sqrt.f64 (sin.f64 re)) (.f64 (sqrt.f64 (sin.f64 re)) (fma.f64 (pow.f64 im 7) 1/5040 im))))
	34.1b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (sqrt.f64 (fma.f64 (pow.f64 im 7) 1/5040 im)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 im 7) 1/5040 im)) (sin.f64 re))))
	2.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 im 7) 1/5040 im)) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 im 7) 1/5040 im)) (sin.f64 re))))
	2.9b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (log.f64 (pow.f64 (exp.f64 1/6) (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/120)))) (.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 2)))
	35.8b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (cbrt.f64 (pow.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im)) 3)))
	27.7b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (.f64 (pow.f64 im 5) 1/120)))) (pow.f64 (sqrt.f64 (.f64 (sin.f64 re) (fma.f64 (pow.f64 im 7) 1/5040 im))) 2))

Compiler

Compiled 4360 to 3166 computations (27.4% saved)

regimes1.3s (12.2%)

Accuracy

Total 0.6b remaining (87.7%)

Threshold costs 0.6b (87.7%)

Counts

158 → 1

Compiler

Compiled 29524 to 22379 computations (24.2% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
11×	`+-commutative_binary64`
9×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	43
1	37	43
2	51	43
3	67	41
4	86	41
5	94	41
6	98	41
7	99	41

Stop Event

1×

saturated

end399.0ms (3.9%)

Compiler: Compiled 596 to 423 computations (29% saved)

Details

analyze535.0ms (5.2%)

sample6.3s (60.8%)

simplify23.0ms (0.2%)

prune4.0ms (0%)

localize8.0ms (0.1%)

series17.0ms (0.2%)

rewrite76.0ms (0.7%)

simplify39.0ms (0.4%)

prune40.0ms (0.4%)

localize17.0ms (0.2%)

series56.0ms (0.5%)

rewrite37.0ms (0.4%)

simplify34.0ms (0.3%)

prune163.0ms (1.6%)

localize19.0ms (0.2%)

series629.0ms (6.1%)

rewrite56.0ms (0.5%)

simplify35.0ms (0.3%)

prune188.0ms (1.8%)

localize22.0ms (0.2%)

series133.0ms (1.3%)

rewrite41.0ms (0.4%)

simplify24.0ms (0.2%)

prune181.0ms (1.8%)

regimes1.3s (12.2%)

simplify4.0ms (0%)

end399.0ms (3.9%)

Profiling