Details

sample143.0ms

Algorithm

intervals

Results

53.0ms	90×	body	1280	valid
33.0ms	86×	body	640	valid
20.0ms	269×	body	80	valid
14.0ms	43×	body	320	valid
4.0ms	25×	body	160	valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune85.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(pow (exp im) 3)
6.1b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `exp-prod`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
13×	`pow1`
10×	`pow-pow`
8×	`unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `exp-sum` `pow-prod-down` `pow-sqr` `pow-prod-up`
3×	`sub-neg` `swap-sqr` `associate-r` `associate-l`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* (exp im) (exp im))
6.0ms	(pow (exp (- 0.0 im)) 3)
3.0ms	(pow (exp im) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (exp im) (exp im))
25.0ms	(pow (exp (- 0.0 im)) 3)
22.0ms	(pow (exp im) 3)
46.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify93.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	375	485
1	2149	423
2	5003	402

prune279.0ms

Filtered

118 candidates to 70 candidates (59.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.0b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`sqrt-prod`
14×	`associate-r`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 89

Calls

4 calls:

7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
22.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
15.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
46.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
67.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
98.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	415	1191
1	1832	1017
2	5001	994

prune204.0ms

Filtered

101 candidates to 63 candidates (62.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	3072×	body	1280	valid
659.0ms	2424×	body	640	valid
502.0ms	8583×	body	80	valid
238.0ms	1227×	body	320	valid
91.0ms	664×	body	160	valid

Details

sample143.0ms

simplify117.0ms

prune3.0ms

localize10.0ms

rewrite19.0ms

series88.0ms

simplify36.0ms

prune85.0ms

localize19.0ms

rewrite24.0ms

series108.0ms

simplify93.0ms

prune279.0ms

localize12.0ms

rewrite55.0ms

series260.0ms

simplify54.0ms

prune204.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling