Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	51×	body	1280	valid
11.0ms	45×	body	640	valid
11.0ms	218×	body	80	valid
3.0ms	17×	body	320	valid
1.0ms	10×	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))

rewrite6.0ms

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:

6.0ms

(* (exp re) (sin im))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (exp re) (sin im))

simplify156.0ms

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

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite34.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series106.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (sqrt (exp re)) (sin im))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
11.0ms	(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

prune180.0ms

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))

rewrite32.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(* (exp (* 1/2 re)) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))

series116.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (sqrt (exp re)) (sin im))
58.0ms	(* (exp (* 1/2 re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))

simplify68.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	188	389
1	705	345
2	3481	315
3	5002	287

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt (exp (* 1/2 re)))
1.0ms	(cbrt (exp (* 1/2 re)))
7.0ms	(* (cbrt (exp (* 1/2 re))) (cbrt (exp (* 1/2 re))))
1.0ms	(sqrt (exp re))

series258.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp (* 1/2 re)))
76.0ms	(cbrt (exp (* 1/2 re)))
94.0ms	(* (cbrt (exp (* 1/2 re))) (cbrt (exp (* 1/2 re))))
12.0ms	(sqrt (exp re))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	148	551
1	453	505
2	2042	452
3	5001	421

prune249.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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

475.0ms	1556×	body	1280	valid
233.0ms	6993×	body	80	valid
210.0ms	1251×	body	640	valid
64.0ms	594×	body	320	valid
23.0ms	309×	body	160	valid