Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	229×	body	80	valid
11.0ms	37×	body	1280	valid
5.0ms	30×	body	640	valid
3.0ms	22×	body	320	valid
0.0ms	5×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(* (exp re) (sin im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (sin im))

simplify171.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (32.0ms)

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

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

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)))

rewrite37.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
24.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
50.0ms	(* (sqrt (exp re)) (sin im))
36.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify64.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2419	403
3	5002	390

prune214.0ms

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

2.0ms	(sqrt (exp re))
15.0ms	(* (sqrt (exp re)) (* (exp (* 1/2 re)) (sin im)))
9.0ms	(* (exp (* 1/2 re)) (sin im))

series120.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp re))
66.0ms	(* (sqrt (exp re)) (* (exp (* 1/2 re)) (sin im)))
42.0ms	(* (exp (* 1/2 re)) (sin im))

simplify76.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	199	418
1	678	367
2	3529	332
3	5001	304

prune172.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin im) (exp re))
0.2b	(pow (* (sin im) (exp re)) 3)
17.1b	(cbrt (pow (* (sin im) (exp re)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (sin im) (exp re))
4.0ms	(pow (* (sin im) (exp re)) 3)
2.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

series104.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (sin im) (exp re))
48.0ms	(pow (* (sin im) (exp re)) 3)
29.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

simplify239.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (234.0ms)

Iter	Nodes	Cost
0	175	334
1	731	316
2	4818	315
3	5001	314

prune151.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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	13	7
1	13	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

452.0ms	1505×	body	1280	valid
246.0ms	6939×	body	80	valid
202.0ms	1148×	body	640	valid
71.0ms	643×	body	320	valid
30.0ms	381×	body	160	valid