Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	49×	body	1280	valid
14.0ms	239×	body	80	valid
9.0ms	42×	body	640	valid
4.0ms	28×	body	320	valid
1.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune4.0ms

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))

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×	`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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (exp re) (sin im))

simplify163.0ms

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

prune86.0ms

Pruning

3 alts after pruning (2 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))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite36.0ms

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))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
23.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (sqrt (exp re)) (sin im))
2.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (56.0ms)

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

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `sqrt-prod` `*-commutative`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
1.0ms	(cbrt (exp re))
67.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cbrt (exp re))
11.0ms	(cbrt (exp re))
11.0ms	(cbrt (exp re))
9.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify132.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	193	546
1	749	463
2	3969	457
3	5001	451

prune491.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.2b	(pow (* (exp re) (sin im)) 3)
13.0b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite14.0ms

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×	`pow-unpow` `associate-r` `associate-l` `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 → 57

Calls

3 calls:

6.0ms	(* (exp re) (sin im))
5.0ms	(pow (* (exp re) (sin im)) 3)
2.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series32.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (exp re) (sin im))
16.0ms	(pow (* (exp re) (sin im)) 3)
8.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify32.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	312
1	761	294
2	5002	291

prune270.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes256.0ms

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

sample1.6s

Algorithm

intervals

Results

589.0ms	1540×	body	1280	valid
364.0ms	6978×	body	80	valid
293.0ms	1225×	body	640	valid
98.0ms	627×	body	320	valid
32.0ms	294×	body	160	valid