Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	43×	body	1280	valid
6.0ms	220×	body	80	valid
6.0ms	40×	body	640	valid
3.0ms	28×	body	320	valid
1.0ms	15×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

(* (exp re) (cos im))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify140.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85

prune45.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cos im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos 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:

19.0ms	(* (sqrt (exp re)) (cos im))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series98.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sqrt (exp re)) (cos im))
31.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify56.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	153	424
1	579	370
2	2129	368
3	5001	358

prune193.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im)))
0.0b	(sqrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

89.0ms	(* (sqrt (exp re)) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im)))
3.0ms	(sqrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series254.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (sqrt (exp re)) (* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im)))
11.0ms	(sqrt (exp re))
78.0ms	(cbrt (exp re))
79.0ms	(cbrt (exp re))

simplify34.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	237	572
1	920	492
2	5001	481

prune226.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.0b	(exp (* (exp re) (cos im)))
0.2b	(log (exp (* (exp re) (cos im))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cbrt-cube`
4×	`add-exp-log`
3×	`log-prod` `associate-r` `associate-l` `log-pow`
2×	`exp-prod` `exp-to-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

14.0ms	(* (exp re) (cos im))
10.0ms	(exp (* (exp re) (cos im)))
4.0ms	(log (exp (* (exp re) (cos im))))

series112.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (exp re) (cos im))
48.0ms	(exp (* (exp re) (cos im)))
33.0ms	(log (exp (* (exp re) (cos im))))

simplify37.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	120	247
1	346	213
2	1297	213
3	5002	213

prune104.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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	9	7
1	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

427.0ms	1482×	body	1280	valid
209.0ms	6912×	body	80	valid
208.0ms	1294×	body	640	valid
59.0ms	614×	body	320	valid
21.0ms	318×	body	160	valid