Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	45×	body	1280	valid
11.0ms	217×	body	80	valid
8.0ms	40×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	12×	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

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify172.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (33.0ms)

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

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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)) (* (sqrt (exp re)) (sin im)))
0.0b	(* (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×	`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))
24.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
8.0ms	(* (sqrt (exp re)) (sin im))

series110.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
41.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
46.0ms	(* (sqrt (exp re)) (sin im))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	184	462
1	656	406
2	2371	403
3	5002	390

prune215.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt (sqrt (exp re)))
1.0ms	(cbrt (sqrt (exp re)))
1.0ms	(cbrt (sqrt (exp re)))
10.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt (sqrt (exp re)))
81.0ms	(cbrt (sqrt (exp re)))
80.0ms	(cbrt (sqrt (exp re)))
83.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))

simplify62.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	130	897
1	418	840
2	1869	782
3	5001	750

prune468.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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

465.0ms	1493×	body	1280	valid
252.0ms	7032×	body	80	valid
221.0ms	1235×	body	640	valid
68.0ms	597×	body	320	valid
26.0ms	335×	body	160	valid