Details

analyze364.0ms

Algorithm

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

sample119.0ms

Algorithm

intervals

Results

29.0ms	53×	body	1280	valid
18.0ms	48×	body	1280	invalid
12.0ms	48×	body	640	invalid
10.0ms	35×	body	640	valid
8.0ms	132×	body	80	valid
6.0ms	82×	body	80	invalid
4.0ms	13×	body	160	invalid
4.0ms	20×	body	320	valid
4.0ms	21×	body	320	invalid
2.0ms	16×	body	160	valid

simplify304.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4756	18
1	4756	18

prune18.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.2b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64_1216` `add-cbrt-cube_binary64_1188` `pow1_binary64_1162` `add-exp-log_binary64_1180`
4×	`associate-r_binary64_1275` `add-log-exp_binary64_1181`
3×	`cbrt-unprod_binary64_1185` `pow-prod-down_binary64_1143` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187` `prod-exp_binary64_1167`
2×	`flip-+_binary64_1241` `flip3-+_binary64_1214` `associate-*r/_binary64_1277` `distribute-lft-out_binary64_1260`
1×	`sum-log_binary64_1131` `associate-l_binary64_1276` `*-commutative_binary64_1284` `distribute-lft-in_binary64_1258` `+-commutative_binary64_1283` `distribute-rgt-in_binary64_1259`

Counts

2 → 35

Calls

2 calls:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
70.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify120.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4952	719
1	4952	719

prune204.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.2b

Counts

42 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.3b	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1188`
9×	`add-exp-log_binary64_1180`
8×	`pow1_binary64_1162`
6×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
5×	`add-log-exp_binary64_1181`
4×	`cbrt-unprod_binary64_1185` `prod-exp_binary64_1167`
3×	`pow-prod-down_binary64_1143` `associate-r_binary64_1275` `associate-/r*_binary64_1279` `times-frac_binary64_1211`
2×	`div-exp_binary64_1169` `div-inv_binary64_1217` `cbrt-undiv_binary64_1186`
1×	`sum-log_binary64_1131` `flip-+_binary64_1241` `clear-num_binary64_1219` `flip3-+_binary64_1214` `associate-l_binary64_1276` `distribute-lft-out_binary64_1260` `-commutative_binary64_1284` `frac-2neg_binary64_1209` `+-commutative_binary64_1283` `associate-/l_binary64_1280`

Counts

3 → 51

Calls

3 calls:

7.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
9.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series183.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im))
87.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
55.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify64.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5119	986

prune268.0ms

Filtered

46 candidates to 60 candidates (-30.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0.0b

Counts

64 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (/.f64 1/2 (sqrt.f64 (exp.f64 im))) (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b	(/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))
0.2b	(sqrt.f64 (exp.f64 im))
0.2b	(sqrt.f64 (exp.f64 im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1201`
23×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
18×	`sqrt-prod_binary64_1195` `times-frac_binary64_1211`
8×	`sqrt-pow1_binary64_1197`
6×	`add-cbrt-cube_binary64_1188` `pow1_binary64_1162` `add-exp-log_binary64_1180` `exp-prod_binary64_1170` `add-log-exp_binary64_1181` `associate-/r*_binary64_1279`
3×	`associate-/l*_binary64_1280`
2×	`pow1/2_binary64_1152` `rem-sqrt-square_binary64_1204`
1×	`sum-log_binary64_1131` `div-exp_binary64_1169` `div-inv_binary64_1217` `flip-+_binary64_1241` `clear-num_binary64_1219` `flip3-+_binary64_1214` `cbrt-undiv_binary64_1186` `frac-2neg_binary64_1209` `+-commutative_binary64_1283`

Counts

4 → 82

Calls

4 calls:

13.0ms	(+.f64 (.f64 (/.f64 1/2 (sqrt.f64 (exp.f64 im))) (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
6.0ms	(/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))
2.0ms	(sqrt.f64 (exp.f64 im))
2.0ms	(sqrt.f64 (exp.f64 im))

series177.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+.f64 (.f64 (/.f64 1/2 (sqrt.f64 (exp.f64 im))) (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))) (.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
59.0ms	(/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))
13.0ms	(sqrt.f64 (exp.f64 im))
14.0ms	(sqrt.f64 (exp.f64 im))

simplify59.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5045	1421

prune387.0ms

Filtered

68 candidates to 94 candidates (-38.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im)))
0.0b	(/.f64 1/2 (exp.f64 im))
0.2b	(.f64 (sin.f64 re) (+.f64 (.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1201`
13×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
9×	`times-frac_binary64_1211`
7×	`add-cbrt-cube_binary64_1188`
6×	`add-exp-log_binary64_1180`
5×	`pow1_binary64_1162` `add-log-exp_binary64_1181`
3×	`associate-l_binary64_1276` `associate-r_binary64_1275` `associate-/r_binary64_1279` `associate-/l_binary64_1280`
2×	`flip-+_binary64_1241` `flip3-+_binary64_1214` `associate-*r/_binary64_1277`
1×	`sum-log_binary64_1131` `div-exp_binary64_1169` `cbrt-unprod_binary64_1185` `pow-prod-down_binary64_1143` `div-inv_binary64_1217` `clear-num_binary64_1219` `unswap-sqr_binary64_1244` `cbrt-undiv_binary64_1186` `prod-exp_binary64_1167` `*-commutative_binary64_1284` `frac-2neg_binary64_1209` `distribute-lft-in_binary64_1258` `+-commutative_binary64_1283` `distribute-rgt-in_binary64_1259`

Counts

3 → 60

Calls

3 calls:

9.0ms	(+.f64 (*.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im)))
4.0ms	(/.f64 1/2 (exp.f64 im))
18.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im))))

series130.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+.f64 (*.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im)))
18.0ms	(/.f64 1/2 (exp.f64 im))
72.0ms	(.f64 (sin.f64 re) (+.f64 (.f64 (exp.f64 im) 1/2) (/.f64 1/2 (exp.f64 im))))

simplify76.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4939	1142
1	4939	1142

prune288.0ms

Filtered

54 candidates to 69 candidates (-27.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

regimes309.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	24
1	13	24

end0.0ms

sample3.2s

Algorithm

intervals

Results

858.0ms	1540×	body	1280	valid
539.0ms	1486×	body	1280	invalid
369.0ms	1234×	body	640	valid
311.0ms	1276×	body	640	invalid
279.0ms	4292×	body	80	valid
157.0ms	2413×	body	80	invalid
123.0ms	610×	body	320	valid
116.0ms	621×	body	320	invalid
41.0ms	324×	body	160	valid
40.0ms	325×	body	160	invalid

Details

analyze364.0ms

sample119.0ms

simplify304.0ms

prune18.0ms

localize15.0ms

rewrite17.0ms

series87.0ms

simplify120.0ms

prune204.0ms

localize14.0ms

rewrite23.0ms

series183.0ms

simplify64.0ms

prune268.0ms

localize19.0ms

rewrite25.0ms

series177.0ms

simplify59.0ms

prune387.0ms

localize13.0ms

rewrite32.0ms

series130.0ms

simplify76.0ms

prune288.0ms

regimes309.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.2s

Profiling