Details

analyze535.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4936	36
1	4936	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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample73.0ms (1.8%)

Algorithm

1×

intervals

Results

23.0ms	72×	body	1024	valid
14.0ms	69×	body	1024	invalid
8.0ms	142×	body	128	valid
6.0ms	41×	body	512	invalid
5.0ms	29×	body	512	valid
2.0ms	26×	body	128	invalid
1.0ms	13×	body	256	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify137.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5290	18

prune6.0ms (0.2%)

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
4×	`add-log-exp_binary64_799` `associate-r_binary64_700`
3×	`prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

2 → 35

Calls

2 calls:

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

series80.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4922	713
1	4922	713

prune39.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 685 to 274 computations (60% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.4b	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
0.6b	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
11×	`*-un-lft-identity_binary64_760`
8×	`cbrt-prod_binary64_791`
7×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`associate-*l/_binary64_703` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
4×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-l_binary64_701` `cube-div_binary64_789`
3×	`pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `pow-unpow_binary64_837` `pow-pow_binary64_832`
2×	`cube-mult_binary64_790` `distribute-lft-out_binary64_711` `unpow3_binary64_826` `cbrt-div_binary64_792` `sqr-pow_binary64_732` `cube-prod_binary64_788` `unpow-prod-down_binary64_839`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-to-exp_binary64_829` `associate-r_binary64_700` `+-commutative_binary64_690` `sum-log_binary64_851` `*-commutative_binary64_691`

Counts

4 → 79

Calls

4 calls:

10.0ms	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
10.0ms	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
3.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))

series242.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3)
62.0ms	(cbrt.f64 (pow.f64 (.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re))) 3))
58.0ms	(.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) (.f64 1/2 (cos.f64 re)))
13.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5080	1828

prune84.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1792 to 814 computations (54.6% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
0.0b	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))
0.1b	(*.f64 1/12 (pow.f64 im 4))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_798`
12×	`add-sqr-sqrt_binary64_782`
10×	`add-cbrt-cube_binary64_796` `associate-r_binary64_700`
8×	`add-log-exp_binary64_799` `pow1_binary64_821`
7×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
6×	`prod-exp_binary64_809`
4×	`associate-l_binary64_701` `cbrt-unprod_binary64_793` `unpow-prod-down_binary64_839`
3×	`unswap-sqr_binary64_728` `sum-log_binary64_851` `pow-prod-down_binary64_831`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-r/_binary64_702` `sqr-pow_binary64_732` `-commutative_binary64_691`
1×	`distribute-lft-in_binary64_709` `pow-exp_binary64_828` `distribute-rgt-in_binary64_710` `pow-to-exp_binary64_829` `associate-+r+_binary64_692` `+-commutative_binary64_690`

Counts

3 → 60

Calls

3 calls:

9.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
7.0ms	(*.f64 1/12 (pow.f64 im 4))
6.0ms	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))

series144.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4)))))
24.0ms	(*.f64 1/12 (pow.f64 im 4))
19.0ms	(+.f64 (.f64 im im) (+.f64 2 (.f64 1/12 (pow.f64 im 4))))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4999	1255
1	4999	1255

prune75.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Compiler

Compiled 1507 to 1001 computations (33.6% saved)

regimes91.0ms (2.2%)

Accuracy

Total 0.0b remaining (58.5%)

Threshold costs 0.0b (58.5%)

Compiler

Compiled 686 to 518 computations (24.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.3s (56.2%)

Algorithm

1×

intervals

Results

678.0ms	2045×	body	1024	valid
438.0ms	1958×	body	1024	invalid
273.0ms	4535×	body	128	valid
173.0ms	956×	body	512	valid
153.0ms	995×	body	512	invalid
59.0ms	521×	body	256	invalid
52.0ms	460×	body	256	valid
43.0ms	706×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 129 to 100 computations (22.5% saved)

Details

analyze535.0ms (13%)

sample73.0ms (1.8%)

simplify137.0ms (3.3%)

prune6.0ms (0.2%)

localize10.0ms (0.2%)

rewrite18.0ms (0.4%)

series80.0ms (1.9%)

simplify78.0ms (1.9%)

prune39.0ms (0.9%)

localize12.0ms (0.3%)

rewrite35.0ms (0.8%)

series242.0ms (5.9%)

simplify64.0ms (1.6%)

prune84.0ms (2%)

localize11.0ms (0.3%)

rewrite27.0ms (0.7%)

series144.0ms (3.5%)

simplify41.0ms (1%)

prune75.0ms (1.8%)

regimes91.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.3s (56.2%)

Profiling