Details

sample95.0ms

Algorithm

intervals

Results

36.0ms	94×	body	1280	valid
20.0ms	89×	body	640	valid
12.0ms	255×	body	80	valid
10.0ms	45×	body	320	valid
3.0ms	26×	body	160	valid

simplify71.0ms

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	1662	7
8	4217	7
9	5002	7

prune2.0ms

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)))

rewrite22.0ms

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:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	351	485
1	1427	431
2	5002	430

prune131.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0b

Counts

57 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-l`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
22×	`associate-r`
21×	`distribute-lft-out`
19×	`add-exp-log`
17×	`add-cube-cbrt`
13×	`pow1` `add-cbrt-cube`
12×	`prod-exp`
10×	`unswap-sqr`
8×	`*-commutative`
6×	`pow-prod-down` `cbrt-unprod`
5×	`add-log-exp`
2×	`exp-sum`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+`

Counts

3 → 102

Calls

3 calls:

36.0ms	(+ (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))))
14.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series166.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp (- 0.0 im))))
41.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify59.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	426	800
1	1732	722
2	5001	716

prune257.0ms

Filtered

111 candidates to 76 candidates (68.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0b

Counts

116 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
22×	`cbrt-prod`
21×	`associate-l`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`pow1`
14×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube`
8×	`pow1/3` `unswap-sqr`
7×	`prod-exp` `cbrt-unprod`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`*-commutative`
2×	`exp-sum` `pow-sqr` `pow-prod-up`
1×	`pow2` `sub-neg` `pow-plus` `exp-diff` `associate-*r/`

Counts

4 → 101

Calls

4 calls:

2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
15.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(cbrt (exp im))
75.0ms	(cbrt (exp im))
44.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
93.0ms	(* (cbrt (exp im)) (cbrt (exp im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	319	676
1	1140	603
2	5001	551

prune295.0ms

Filtered

113 candidates to 72 candidates (63.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.3b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

75×	`associate-l`
65×	`add-sqr-sqrt`
52×	`cbrt-prod`
46×	`unpow-prod-down` `cube-prod`
43×	`*-un-lft-identity`
35×	`associate-r`
30×	`add-cube-cbrt`
20×	`unswap-sqr`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`*-commutative`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
4×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
3×	`+-commutative` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`distribute-rgt-in` `cube-mult` `cbrt-div` `distribute-lft-in` `unpow3` `rem-cbrt-cube` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `sum-log`

Counts

4 → 185

Calls

4 calls:

7.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
21.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
19.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series250.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
65.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
96.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
67.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify147.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	734	2017
1	4405	1936
2	5001	1930

prune381.0ms

Filtered

197 candidates to 102 candidates (51.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	197	4	201

Merged error: 0b

Counts

201 → 4

regimes141.0ms

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

sample2.7s

Algorithm

intervals

Results

1.2s	2874×	body	1280	valid
555.0ms	2384×	body	640	valid
415.0ms	8452×	body	80	valid
186.0ms	1177×	body	320	valid
63.0ms	602×	body	160	valid