Details

analyze338.0ms (6.4%)

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%	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)

sample70.0ms (1.3%)

Algorithm

1×

intervals

Results

21.0ms	63×	body	1024	valid
15.0ms	71×	body	1024	invalid
7.0ms	131×	body	128	valid
6.0ms	37×	body	512	valid
6.0ms	39×	body	512	invalid
3.0ms	25×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	16×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify218.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5290	18

prune6.0ms (0.1%)

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1101` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`add-sqr-sqrt_binary64_1123` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `pow-prod-down_binary64_1172`
2×	`distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075`
1×	`-commutative_binary64_1032` `sum-log_binary64_1192` `distribute-lft-in_binary64_1050` `+-commutative_binary64_1031` `associate-l*_binary64_1042` `distribute-rgt-in_binary64_1051`

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))

series254.0ms (4.8%)

Counts

2 → 17

Calls

2 calls:

217.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
37.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 436 to 366 computations (16.1% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4918	929
1	4918	929

prune43.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Error

Counts

53 → 2

Compiler

Compiled 852 to 377 computations (55.8% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1137`
9×	`add-exp-log_binary64_1139`
8×	`pow1_binary64_1162`
6×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`add-log-exp_binary64_1140`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
3×	`times-frac_binary64_1107` `associate-r_binary64_1041` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `distribute-lft-out_binary64_1052` `frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `flip3-+_binary64_1104` `associate-/l_binary64_1046` `+-commutative_binary64_1031` `flip-+_binary64_1075` `associate-l_binary64_1042`

Counts

3 → 51

Calls

3 calls:

8.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
6.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))
5.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

series590.0ms (11.2%)

Counts

3 → 34

Calls

3 calls:

298.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im)))
159.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
132.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im))

Compiler

Compiled 1040 to 810 computations (22.1% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4942	1600
1	4942	1600

prune79.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1684 to 870 computations (48.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-cbrt-cube_binary64_1137`
21×	`add-exp-log_binary64_1139`
18×	`pow1_binary64_1162`
12×	`associate-r_binary64_1041`
10×	`add-sqr-sqrt_binary64_1123` `cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136`
9×	`pow-prod-down_binary64_1172`
6×	`add-log-exp_binary64_1140` `sqrt-prod_binary64_1117`
3×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`-commutative_binary64_1032` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-l*_binary64_1042`
1×	`frac-2neg_binary64_1112` `sum-log_binary64_1192` `clear-num_binary64_1100` `flip3-+_binary64_1104` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 77

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)))
9.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im))))
8.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im)))
5.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))

series735.0ms (14%)

Counts

4 → 45

Calls

4 calls:

290.0ms	(+.f64 (/.f64 (.f64 1/2 (cos.f64 re)) (exp.f64 im)) (.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im))))
163.0ms	(/.f64 (*.f64 1/2 (cos.f64 re)) (exp.f64 im))
146.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im)))
136.0ms	(.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)))

Compiler

Compiled 1536 to 1136 computations (26% saved)

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5139	2259

prune125.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 2785 to 1328 computations (52.3% saved)

regimes92.0ms (1.7%)

Accuracy

Total 0.0b remaining (63.9%)

Threshold costs 0.0b (63.9%)

Compiler

Compiled 638 to 494 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms (0%)

sample2.4s (45.1%)

Algorithm

1×

intervals

Results

823.0ms	2009×	body	1024	valid
425.0ms	1921×	body	1024	invalid
244.0ms	4496×	body	128	valid
173.0ms	1002×	body	512	valid
149.0ms	963×	body	512	invalid
54.0ms	490×	body	256	valid
52.0ms	466×	body	256	invalid
44.0ms	691×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 121 to 96 computations (20.7% saved)

Details

analyze338.0ms (6.4%)

sample70.0ms (1.3%)

simplify218.0ms (4.1%)

prune6.0ms (0.1%)

localize10.0ms (0.2%)

rewrite18.0ms (0.3%)

series254.0ms (4.8%)

simplify85.0ms (1.6%)

prune43.0ms (0.8%)

localize10.0ms (0.2%)

rewrite23.0ms (0.4%)

series590.0ms (11.2%)

simplify78.0ms (1.5%)

prune79.0ms (1.5%)

localize13.0ms (0.2%)

rewrite41.0ms (0.8%)

series735.0ms (14%)

simplify56.0ms (1.1%)

prune125.0ms (2.4%)

regimes92.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (45.1%)

Profiling