Details

analyze497.0ms (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4943	36
1	4943	36
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample79.0ms (1.9%)

Algorithm

1×

intervals

Results

26.0ms	65×	body	1024	valid
10.0ms	44×	body	1024	invalid
9.0ms	144×	body	128	valid
6.0ms	35×	body	512	valid
6.0ms	39×	body	512	invalid
5.0ms	86×	body	128	invalid
2.0ms	17×	body	256	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify120.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5282	18

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
4×	`add-log-exp_binary64_117` `associate-r_binary64_18`
3×	`add-sqr-sqrt_binary64_100` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `pow-prod-down_binary64_149`
2×	`flip-+_binary64_52` `associate-*r/_binary64_20` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `-commutative_binary64_9` `associate-l*_binary64_19` `distribute-rgt-in_binary64_28` `sum-log_binary64_169`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series88.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4978	719
1	4978	719

prune33.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Compiler

Compiled 685 to 268 computations (60.9% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_114`
9×	`add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
3×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r*_binary64_22` `pow-prod-down_binary64_149`
2×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75`
1×	`+-commutative_binary64_8` `-commutative_binary64_9` `associate-l_binary64_19` `flip-+_binary64_52` `frac-2neg_binary64_89` `associate-/l_binary64_23` `clear-num_binary64_77` `distribute-lft-out_binary64_29` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series181.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
49.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
37.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4930	984
1	4930	984

prune55.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Error

Counts

62 → 2

Compiler

Compiled 1152 to 582 computations (49.5% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 (exp.f64 im)) (*.f64 1/2 (exp.f64 im)))
0.0b	(.f64 (sin.f64 re) (+.f64 (/.f64 1/2 (exp.f64 im)) (.f64 1/2 (exp.f64 im))))
0.0b	(/.f64 1/2 (exp.f64 im))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_100`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`times-frac_binary64_84`
7×	`add-cbrt-cube_binary64_114`
6×	`add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-r_binary64_18`
3×	`associate-l_binary64_19` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`
2×	`flip-+_binary64_52` `associate-*r/_binary64_20` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `distribute-rgt-in_binary64_28` `frac-2neg_binary64_89` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `sum-log_binary64_169`

Counts

3 → 62

Calls

3 calls:

11.0ms	(.f64 (sin.f64 re) (+.f64 (/.f64 1/2 (exp.f64 im)) (.f64 1/2 (exp.f64 im))))
8.0ms	(+.f64 (/.f64 1/2 (exp.f64 im)) (*.f64 1/2 (exp.f64 im)))
4.0ms	(/.f64 1/2 (exp.f64 im))

series142.0ms (3.3%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(.f64 (sin.f64 re) (+.f64 (/.f64 1/2 (exp.f64 im)) (.f64 1/2 (exp.f64 im))))
44.0ms	(+.f64 (/.f64 1/2 (exp.f64 im)) (*.f64 1/2 (exp.f64 im)))
22.0ms	(/.f64 1/2 (exp.f64 im))

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4931	1142
1	4931	1142

prune59.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Error

Counts

73 → 2

Compiler

Compiled 1231 to 591 computations (52% saved)

regimes80.0ms (1.9%)

Accuracy

Total 0.0b remaining (14.7%)

Threshold costs 0.0b (14.7%)

Compiler

Compiled 420 to 372 computations (11.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms (0%)

sample2.6s (60.2%)

Algorithm

1×

intervals

Results

717.0ms	1980×	body	1024	valid
433.0ms	1838×	body	1024	invalid
277.0ms	4449×	body	128	valid
210.0ms	1040×	body	512	valid
178.0ms	1011×	body	512	invalid
163.0ms	2567×	body	128	invalid
72.0ms	526×	body	256	valid
57.0ms	478×	body	256	invalid
4.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 89 to 77 computations (13.5% saved)

Details

analyze497.0ms (11.7%)

sample79.0ms (1.9%)

simplify120.0ms (2.8%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series88.0ms (2.1%)

simplify77.0ms (1.8%)

prune33.0ms (0.8%)

localize11.0ms (0.2%)

rewrite25.0ms (0.6%)

series181.0ms (4.3%)

simplify89.0ms (2.1%)

prune55.0ms (1.3%)

localize8.0ms (0.2%)

rewrite27.0ms (0.6%)

series142.0ms (3.3%)

simplify83.0ms (1.9%)

prune59.0ms (1.4%)

regimes80.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.6s (60.2%)

Profiling