Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	57×	body	1280	valid
11.0ms	228×	body	80	valid
8.0ms	39×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	8×	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

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))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify165.0ms

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

prune50.0ms

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

rewrite35.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
22.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sqrt (exp re)) (sin im))
12.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify63.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2419	403
3	5001	390

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `sqrt-prod`
12×	`pow1` `unpow-prod-down` `cube-prod`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod` `pow-pow` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `associate-r` `pow-exp` `*-commutative` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 107

Calls

4 calls:

1.0ms	(sqrt (exp re))
2.0ms	(cbrt (pow (sqrt (exp re)) 3))
22.0ms	(* (sqrt (exp re)) (* (cbrt (pow (sqrt (exp re)) 3)) (sin im)))
3.0ms	(pow (sqrt (exp re)) 3)

series96.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
13.0ms	(cbrt (pow (sqrt (exp re)) 3))
36.0ms	(* (sqrt (exp re)) (* (cbrt (pow (sqrt (exp re)) 3)) (sin im)))
35.0ms	(pow (sqrt (exp re)) 3)

simplify47.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	283	564
1	1260	474
2	5001	447

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.2b	(pow (* (exp re) (sin im)) 3)
13.3b	(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×	`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	(* (exp re) (sin im))
5.0ms	(pow (* (exp re) (sin im)) 3)
2.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

series129.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (exp re) (sin im))
54.0ms	(pow (* (exp re) (sin im)) 3)
39.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	182	333
1	792	317
2	5001	314

prune153.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

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

sample1.4s

Algorithm

intervals

Results

540.0ms	1560×	body	1280	valid
323.0ms	6984×	body	80	valid
253.0ms	1223×	body	640	valid
81.0ms	595×	body	320	valid
32.0ms	341×	body	160	valid