Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample4.6s (36.4%)

Results

2.8s	3157×	body	1024	valid
779.0ms	1558×	body	512	valid
495.0ms	2629×	body	128	valid
287.0ms	812×	body	256	valid
133.0ms	100×	body	2048	valid

Compiler

Compiled 41 to 32 computations (22% saved)

simplify170.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-def_binary64`
444×	`times-frac_binary64`
419×	`sub-neg_binary64`
365×	`distribute-rgt-neg-in_binary64`
340×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	23	18
2	49	18
3	106	18
4	225	17
5	449	17
6	962	17
7	1713	17
8	3588	17
9	4282	17
10	4773	17
11	4923	17
12	4957	17
13	4748	17

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

24.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	24.4b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Compiler

Compiled 50 to 35 computations (30% saved)

localize16.0ms (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)))
✓	3.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series37.0ms (0.3%)

Counts

2 → 32

Calls

2 calls:

33.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
27×	`prod-diff_binary64`
25×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 80

Calls

2 calls:

18.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
10.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify132.0ms (1%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-neg_binary64`
356×	`cancel-sign-sub-inv_binary64`
302×	`distribute-rgt-in_binary64`
277×	`associate-r_binary64`
274×	`associate-l_binary64`

Counts

112 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2646
1	547	2347
2	2043	2132
3	4415	2127
4	4897	2127

prune104.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	2	125

Error

0.1b

Counts

125 → 2

Alt Table

Status	Error	Program
▶	4.4b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
✓	24.4b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

Status

Error

Program

▶

4.4b

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

✓

24.4b

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

Compiler

Compiled 3218 to 1130 computations (64.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/5040 (pow.f64 im 7))
✓	0.3b	(*.f64 1/120 (pow.f64 im 5))
✓	1.1b	(.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
✓	1.2b	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7))))

series120.0ms (1%)

Counts

4 → 48

Calls

4 calls:

59.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7))))
46.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
7.0ms	(*.f64 1/120 (pow.f64 im 5))
7.0ms	(*.f64 1/5040 (pow.f64 im 7))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
18×	`add-exp-log_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`

Counts

4 → 102

Calls

4 calls:

15.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7))))
10.0ms	(.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))
9.0ms	(*.f64 1/120 (pow.f64 im 5))
8.0ms	(*.f64 1/5040 (pow.f64 im 7))

simplify135.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

532×	`distribute-rgt-in_binary64`
381×	`cancel-sign-sub-inv_binary64`
331×	`associate-r_binary64`
309×	`associate-l_binary64`
285×	`fma-neg_binary64`

Counts

150 → 174

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	2681
1	675	2521
2	2497	2451
3	4579	2450
4	4947	2450

prune452.0ms (3.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	168	6	174
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	8	176

Error

0.0b

Counts

176 → 8

Alt Table

Status	Error	Program
▶	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
✓	24.4b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	33.6b	(-.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 re) (fma.f64 1/120 (pow.f64 im 5) im))) (sqrt.f64 (.f64 (sin.f64 re) (fma.f64 1/120 (pow.f64 im 5) im))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
✓	4.4b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 1/120 (pow.f64 im 5) im))) (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 1/120 (pow.f64 im 5) im)))) (cbrt.f64 (.f64 (sin.f64 re) (fma.f64 1/120 (pow.f64 im 5) im))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	36.5b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (sqrt.f64 (fma.f64 1/120 (pow.f64 im 5) im))) (sqrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)) (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)))) (cbrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	32.3b	(-.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (sqrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))

Compiler

Compiled 6565 to 4668 computations (28.9% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
✓	0.7b	(cbrt.f64 (sin.f64 re))
✓	0.9b	(.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))
	1.2b	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7))))

series730.0ms (5.8%)

Counts

3 → 48

Calls

3 calls:

357.0ms

(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))

323.0ms

(cbrt.f64 (sin.f64 re))

49.0ms

(*.f64 (*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64`
20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
17×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64`

Counts

3 → 79

Calls

3 calls:

8.0ms

(*.f64 (*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))

5.0ms

(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))

2.0ms

(cbrt.f64 (sin.f64 re))

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-neg_binary64`
443×	`fma-def_binary64`
350×	`distribute-rgt-in_binary64`
333×	`distribute-lft-in_binary64`
226×	`cancel-sign-sub-inv_binary64`

Counts

127 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2286
1	426	1644
2	1438	1562
3	4440	1562
4	4985	1562
5	4950	1562

prune510.0ms (4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	232	5	237
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	235	10	245

Error

Counts

245 → 10

Alt Table

Status	Error	Program
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)) (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)))) (cbrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	5.0b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (cbrt.f64 (cbrt.f64 (sin.f64 re))))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
▶	4.9b	(-.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 re)) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
✓	24.4b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	10.0b	(-.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 re) 2) 1/3) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
✓	4.4b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	36.5b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (sqrt.f64 (fma.f64 1/120 (pow.f64 im 5) im))) (sqrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 re))))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	32.3b	(-.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (sqrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	5.1b	(-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 4) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re))))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))

Compiler

Compiled 10448 to 6118 computations (41.4% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re)))
	0.7b	(cbrt.f64 (sin.f64 re))
✓	0.8b	(.f64 (cbrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))
	1.2b	(.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7))))

series1.4s (11.1%)

Counts

2 → 48

Calls

2 calls:

782.0ms	(.f64 (cbrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))
622.0ms	(*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re)))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`associate-r_binary64`

Counts

2 → 47

Calls

2 calls:

10.0ms	(.f64 (cbrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))
8.0ms	(*.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re)))

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
318×	`associate--r+_binary64`
306×	`cancel-sign-sub-inv_binary64`
257×	`distribute-rgt-in_binary64`
243×	`fma-neg_binary64`

Counts

95 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2394
1	452	1966
2	1635	1902
3	4879	1902
4	4963	1902

prune803.0ms (6.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	224	10	234

Error

Counts

234 → 10

Alt Table

Status	Error	Program
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)) (cbrt.f64 (fma.f64 1/120 (pow.f64 im 5) im)))) (cbrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	5.0b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (cbrt.f64 (cbrt.f64 (sin.f64 re))))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
✓	4.9b	(-.f64 (neg.f64 (.f64 (cbrt.f64 (sin.f64 re)) (.f64 (cbrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
✓	24.4b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
	10.0b	(-.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 re) 2) 1/3) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
✓	4.4b	(-.f64 (neg.f64 (.f64 (sin.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	36.5b	(-.f64 (neg.f64 (.f64 (.f64 (sin.f64 re) (sqrt.f64 (fma.f64 1/120 (pow.f64 im 5) im))) (sqrt.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5)))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	4.9b	(-.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 re))))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (.f64 1/5040 (pow.f64 im 7)))))
	32.3b	(-.f64 (neg.f64 (.f64 (sqrt.f64 (sin.f64 re)) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (sqrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))
	5.1b	(-.f64 (neg.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 4) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re))))) (.f64 (fma.f64 1/120 (pow.f64 im 5) im) (cbrt.f64 (sin.f64 re))))) (.f64 (sin.f64 re) (+.f64 (.f64 1/6 (pow.f64 im 3)) (*.f64 1/5040 (pow.f64 im 7)))))

Compiler

Compiled 10012 to 6064 computations (39.4% saved)

regimes2.4s (19%)

Accuracy

Total 0.2b remaining (81.5%)

Threshold costs 0.2b (81.5%)

Counts

100 → 3

Compiler

Compiled 22476 to 15782 computations (29.8% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
15×	`+-commutative_binary64`
13×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	101
1	60	101
2	84	99
3	116	99
4	130	99
5	137	99
6	139	99
7	137	99

end479.0ms (3.8%)

Compiler: Compiled 482 to 308 computations (36.1% saved)

Details

analyze2.0ms (0%)

sample4.6s (36.4%)

simplify170.0ms (1.3%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series37.0ms (0.3%)

rewrite46.0ms (0.4%)

simplify132.0ms (1%)

prune104.0ms (0.8%)

localize27.0ms (0.2%)

series120.0ms (1%)

rewrite49.0ms (0.4%)

simplify135.0ms (1.1%)

prune452.0ms (3.6%)

localize43.0ms (0.3%)

series730.0ms (5.8%)

rewrite20.0ms (0.2%)

simplify109.0ms (0.9%)

prune510.0ms (4%)

localize45.0ms (0.4%)

series1.4s (11.1%)

rewrite30.0ms (0.2%)

simplify156.0ms (1.2%)

prune803.0ms (6.3%)

regimes2.4s (19%)

bsearch7.0ms (0.1%)

simplify7.0ms (0.1%)

end479.0ms (3.8%)

Profiling