Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	48×	body	1280	valid
10.0ms	58×	body	640	valid
8.0ms	231×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	16×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (exp re) (sin im))

simplify170.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92

prune46.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
48.0ms	(* (sqrt (exp re)) (sin im))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	184	462
1	656	406
2	2370	403
3	5002	390

prune209.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (exp re)))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-l`
22×	`pow1` `add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

3.0ms	(sqrt (sqrt (exp re)))
6.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
16.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (sqrt (exp re)))
45.0ms	(* (sqrt (exp re)) (sin im))
92.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
39.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify44.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	316	901
1	1166	737
2	5001	690

prune269.0ms

Filtered

115 candidates to 78 candidates (67.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
4.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
69.0ms	(cbrt (* (exp re) (sin im)))
69.0ms	(cbrt (* (exp re) (sin im)))
69.0ms	(cbrt (* (exp re) (sin im)))

simplify150.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	159	539
1	652	455
2	3647	417
3	5001	410

prune177.0ms

Filtered

78 candidates to 57 candidates (73.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes120.0ms

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	9	7
1	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

438.0ms	1412×	body	1280	valid
256.0ms	6987×	body	80	valid
212.0ms	1236×	body	640	valid
70.0ms	615×	body	320	valid
25.0ms	324×	body	160	valid