Details

analyze352.0ms

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

sample106.0ms

Algorithm

intervals

Results

29.0ms	55×	body	1280	valid
19.0ms	56×	body	1280	invalid
13.0ms	44×	body	640	invalid
8.0ms	137×	body	80	valid
7.0ms	27×	body	640	valid
5.0ms	88×	body	80	invalid
4.0ms	22×	body	320	valid
4.0ms	23×	body	320	invalid
2.0ms	15×	body	160	valid
1.0ms	9×	body	160	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5279	18

prune4.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify90.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4951	507
1	4951	507

prune16.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

0.1b

(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re))

3.1b

(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
11×	`log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`sqrt-prod_binary64` `exp-prod_binary64`
7×	`pow-pow_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`pow1_binary64` `sqrt-pow1_binary64`
3×	`pow-unpow_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64` `exp-sum_binary64`
2×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `sqr-pow_binary64` `rem-exp-log_binary64` `pow-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow2_binary64` `log-pow_binary64` `sum-log_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms

(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

9.0ms

(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re))

8.0ms

(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms

(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

141.0ms

(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re))

164.0ms

(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sin.f64 re)))

simplify103.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4935	1652
1	4935	1652

prune39.0ms

Filtered

43 candidates to 73 candidates (-69.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
20×	`associate-*r/_binary64`
17×	`pow-prod-up_binary64`
16×	`sqrt-div_binary64`
14×	`pow1/2_binary64`
11×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
8×	`associate-r_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 125

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
11.0ms	(sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
24.0ms	(.f64 (sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
146.0ms	(sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
150.0ms	(sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
96.0ms	(.f64 (sqrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4904	2651
1	4904	2651

prune86.0ms

Filtered

65 candidates to 137 candidates (-110.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes43.0ms

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	21	18
1	21	18

end0.0ms

sample3.0s

Algorithm

intervals

Results

795.0ms	1481×	body	1280	valid
495.0ms	1425×	body	1280	invalid
344.0ms	1219×	body	640	valid
306.0ms	1271×	body	640	invalid
269.0ms	4337×	body	80	valid
144.0ms	2365×	body	80	invalid
114.0ms	625×	body	320	valid
102.0ms	606×	body	320	invalid
40.0ms	338×	body	160	valid
37.0ms	283×	body	160	invalid

Details

analyze352.0ms

sample106.0ms

simplify149.0ms

prune4.0ms

localize10.0ms

rewrite12.0ms

series70.0ms

simplify90.0ms

prune16.0ms

localize16.0ms

rewrite26.0ms

series346.0ms

simplify103.0ms

prune39.0ms

localize12.0ms

rewrite61.0ms

series457.0ms

simplify110.0ms

prune86.0ms

regimes43.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.0s

Profiling