Details

analyze354.0ms

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

sample102.0ms

Algorithm

intervals

Results

27.0ms	50×	body	1280	valid
16.0ms	45×	body	1280	invalid
13.0ms	40×	body	640	valid
10.0ms	41×	body	640	invalid
7.0ms	125×	body	80	valid
5.0ms	31×	body	320	valid
4.0ms	69×	body	80	invalid
4.0ms	22×	body	320	invalid
2.0ms	13×	body	160	invalid
1.0ms	10×	body	160	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5415	11

prune6.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

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)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
16.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5332	440

prune161.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
9.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
12.0ms	(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify58.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4945	399
1	4945	399

prune36.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
7×	`add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

8.0ms	(+.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (sin.f64 re) (exp.f64 im)))
10.0ms	(/.f64 (sin.f64 re) (exp.f64 im))
11.0ms	(*.f64 (sin.f64 re) (exp.f64 im))

series39.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 (/.f64 (sin.f64 re) (exp.f64 im)) (*.f64 (sin.f64 re) (exp.f64 im)))
9.0ms	(/.f64 (sin.f64 re) (exp.f64 im))
7.0ms	(*.f64 (sin.f64 re) (exp.f64 im))

simplify97.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4907	584
1	4907	584

prune28.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	67	2	69

Merged error: 0b

Counts

69 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac_binary64`
160×	`add-sqr-sqrt_binary64`
158×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
144×	`sqrt-prod_binary64`
25×	`associate-/l*_binary64`
13×	`add-cbrt-cube_binary64`
12×	`associate-/r*_binary64` `add-exp-log_binary64`
9×	`div-inv_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 243

Calls

4 calls:

7.0ms	(/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))
35.0ms	(+.f64 (/.f64 (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im))) (*.f64 (sin.f64 re) (exp.f64 im)))
16.0ms	(/.f64 (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)))
6.0ms	(*.f64 (sin.f64 re) (exp.f64 im))

series48.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im)))
16.0ms	(+.f64 (/.f64 (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im))) (*.f64 (sin.f64 re) (exp.f64 im)))
9.0ms	(/.f64 (/.f64 (sin.f64 re) (sqrt.f64 (exp.f64 im))) (sqrt.f64 (exp.f64 im)))
7.0ms	(*.f64 (sin.f64 re) (exp.f64 im))

simplify93.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4950	3880
1	4950	3880

prune68.0ms

Filtered

128 candidates to 255 candidates (-99.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	255	2	257

Merged error: 0b

Counts

257 → 2

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample3.0s

Algorithm

intervals

Results

831.0ms	1527×	body	1280	valid
518.0ms	1456×	body	1280	invalid
364.0ms	1226×	body	640	valid
291.0ms	1196×	body	640	invalid
267.0ms	4320×	body	80	valid
145.0ms	2332×	body	80	invalid
124.0ms	624×	body	320	valid
104.0ms	605×	body	320	invalid
37.0ms	303×	body	160	valid
35.0ms	296×	body	160	invalid

Details

analyze354.0ms

sample102.0ms

simplify98.0ms

prune6.0ms

localize9.0ms

rewrite17.0ms

series19.0ms

simplify59.0ms

prune161.0ms

localize9.0ms

rewrite16.0ms

series15.0ms

simplify58.0ms

prune36.0ms

localize17.0ms

rewrite30.0ms

series39.0ms

simplify97.0ms

prune28.0ms

localize11.0ms

rewrite77.0ms

series48.0ms

simplify93.0ms

prune68.0ms

regimes66.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling