Details

analyze369.0ms

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
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

sample86.0ms

Algorithm

intervals

Results

21.0ms	40×	body	1280	valid
13.0ms	38×	body	1280	invalid
12.0ms	43×	body	640	valid
10.0ms	139×	body	80	valid
8.0ms	34×	body	640	invalid
3.0ms	19×	body	320	valid
3.0ms	21×	body	320	invalid
2.0ms	17×	body	160	invalid
2.0ms	15×	body	160	valid
1.0ms	17×	body	80	invalid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5439	11

prune3.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite16.0ms

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:

10.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify64.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4916	460
1	4916	460

prune43.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

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 3 expressions with local error:

0.0b	(.f64 (exp.f64 im) (.f64 0.5 (cos.f64 re)))
0.0b	(+.f64 (/.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 0.5 (cos.f64 re))))
0.0b	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

9.0ms	(.f64 (exp.f64 im) (.f64 0.5 (cos.f64 re)))
9.0ms	(+.f64 (/.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 0.5 (cos.f64 re))))
6.0ms	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))

series47.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(.f64 (exp.f64 im) (.f64 0.5 (cos.f64 re)))
24.0ms	(+.f64 (/.f64 (.f64 0.5 (cos.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 0.5 (cos.f64 re))))
12.0ms	(/.f64 (*.f64 0.5 (cos.f64 re)) (exp.f64 im))

simplify51.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	605
1	4961	605

prune51.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))
0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
17×	`associate-r_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `cube-div_binary64`
4×	`cbrt-div_binary64` `flip3-+_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `prod-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`associate-*r/_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `associate-l_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)

series46.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3))
4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
21.0ms	(pow.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)) 3)

simplify40.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5227	1402

prune75.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 2 (*.f64 im im)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 2 (*.f64 im im)))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(*.f64 (*.f64 0.5 (cos.f64 re)) (+.f64 2 (*.f64 im im)))

simplify69.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4966	276
1	4966	276

prune17.0ms

Filtered

16 candidates to 25 candidates (-56.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	25	3	28

Merged error: 0b

Counts

28 → 3

regimes155.0ms

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	12	15
1	12	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

814.0ms	1556×	body	1280	valid
521.0ms	1534×	body	1280	invalid
349.0ms	1259×	body	640	valid
298.0ms	1302×	body	640	invalid
243.0ms	4225×	body	80	valid
109.0ms	627×	body	320	valid
101.0ms	621×	body	320	invalid
39.0ms	333×	body	160	valid
37.0ms	319×	body	160	invalid
34.0ms	561×	body	80	invalid

Details

analyze369.0ms

sample86.0ms

simplify109.0ms

prune3.0ms

localize9.0ms

rewrite16.0ms

series22.0ms

simplify64.0ms

prune43.0ms

localize9.0ms

rewrite24.0ms

series47.0ms

simplify51.0ms

prune51.0ms

localize12.0ms

rewrite38.0ms

series46.0ms

simplify40.0ms

prune75.0ms

localize8.0ms

rewrite8.0ms

series23.0ms

simplify69.0ms

prune17.0ms

regimes155.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling