Details

sample81.0ms

Algorithm

intervals

Results

31.0ms	86×	body	1280	valid
19.0ms	83×	body	640	valid
11.0ms	249×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	16×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1413	7
7	2144	7
8	5001	7

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(+ (exp (- im)) (exp im))
12.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- im)) (exp im))
63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	330	483
1	1491	420
2	5001	418

prune104.0ms

Filtered

56 candidates to 40 candidates (28.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-cube-cbrt`
30×	`associate-l`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
12×	`associate-/l*`
8×	`pow1` `prod-exp` `unswap-sqr`
6×	`*-commutative`
5×	`add-log-exp`
4×	`div-exp` `cbrt-unprod` `distribute-lft-out`
3×	`pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+`

Counts

3 → 115

Calls

3 calls:

46.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
9.0ms	(* (* 0.5 (cos re)) (exp im))
8.0ms	(/ (* 0.5 (cos re)) (exp im))

series168.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)))
37.0ms	(* (* 0.5 (cos re)) (exp im))
43.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	466	953
1	2400	896
2	5003	895

prune217.0ms

Filtered

124 candidates to 93 candidates (25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Merged error: 0b

Counts

126 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(* (cbrt (exp im)) (cbrt (exp im)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(cbrt (exp im))
78.0ms	(cbrt (exp im))
80.0ms	(cbrt (exp im))
99.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify63.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	121	474
1	398	426
2	2008	373
3	5001	345

prune173.0ms

Filtered

88 candidates to 56 candidates (36.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 0b

Counts

90 → 2

regimes57.0ms

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	12	9
1	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2949×	body	1280	valid
574.0ms	2585×	body	640	valid
393.0ms	8606×	body	80	valid
179.0ms	1245×	body	320	valid
67.0ms	663×	body	160	valid