Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	49×	body	1280	valid
8.0ms	225×	body	80	valid
7.0ms	44×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	7×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify162.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite22.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (sin im))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series114.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (exp re)) (sin im))
42.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (exp (* 1/2 re)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`add-exp-log`
7×	`sqrt-prod`
4×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`exp-prod` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `pow1/2`

Counts

3 → 56

Calls

3 calls:

6.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (exp (* 1/2 re)) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))

series129.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (sqrt (exp re)) (sin im))
65.0ms	(* (exp (* 1/2 re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))

simplify67.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	188	390
1	690	345
2	3424	315
3	5001	287

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im))))
0.0b	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `pow1/2`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (sin im))
13.0ms	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im))))
9.0ms	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))

series201.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (exp re)) (sin im))
67.0ms	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im))))
74.0ms	(* (sqrt (exp (* 1/2 re))) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))

simplify232.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	761
1	1046	643
2	5001	595

prune234.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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	6	3
1	6	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

453.0ms	1511×	body	1280	valid
254.0ms	7006×	body	80	valid
210.0ms	1257×	body	640	valid
70.0ms	598×	body	320	valid
23.0ms	308×	body	160	valid