Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	44×	body	1280	valid
11.0ms	234×	body	80	valid
6.0ms	39×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	9×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:

15.0ms

(* (exp re) (sin im))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (exp re) (sin im))

simplify165.0ms

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

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

46.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
20.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series101.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
42.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify60.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2306	370
3	5001	359

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
4.0ms	(cbrt (exp re))

series301.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
72.0ms	(cbrt (exp re))
71.0ms	(cbrt (exp re))
72.0ms	(cbrt (exp re))

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	112	437
1	362	400
2	1731	367
3	5001	339

prune179.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
0.0b	(cbrt (exp re))
0.0b	(pow (exp re) 2)
0.3b	(cbrt (pow (exp re) 2))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`associate-l`
10×	`pow1`
9×	`add-exp-log` `unpow-prod-down`
6×	`add-cbrt-cube`
4×	`pow-pow` `add-log-exp`
3×	`pow-unpow` `exp-prod` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`pow1/3`
1×	`pow-to-exp` `associate-r` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

35.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
2.0ms	(cbrt (exp re))
4.0ms	(pow (exp re) 2)
3.0ms	(cbrt (pow (exp re) 2))

series207.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (pow (exp re) 2)) (* (cbrt (exp re)) (sin im)))
68.0ms	(cbrt (exp re))
16.0ms	(pow (exp re) 2)
85.0ms	(cbrt (pow (exp re) 2))

simplify119.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	247	480
1	887	418
2	3544	401
3	5002	356

prune196.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes94.0ms

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

sample1.3s

Algorithm

intervals

Results

470.0ms	1560×	body	1280	valid
245.0ms	6918×	body	80	valid
226.0ms	1286×	body	640	valid
64.0ms	593×	body	320	valid
22.0ms	289×	body	160	valid