Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	43×	body	1280	valid
9.0ms	40×	body	640	valid
6.0ms	220×	body	80	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))

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×	`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:

15.0ms

(* (exp re) (cos im))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (exp re) (cos im))

simplify146.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (143.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91

prune50.0ms

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))

rewrite75.0ms

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:

18.0ms	(* (sqrt (exp re)) (cos im))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
5.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

series109.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sqrt (exp re)) (cos im))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	161	458
1	591	404
2	2177	402
3	5001	388

prune219.0ms

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `pow1/2`

Counts

4 → 57

Calls

4 calls:

3.0ms	(sqrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series242.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
77.0ms	(cbrt (exp re))
76.0ms	(cbrt (exp re))
77.0ms	(cbrt (exp re))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 4 (44.0ms)

Iter	Nodes	Cost
0	73	246
1	128	230
2	314	224
3	1155	213
4	5001	205

prune242.0ms

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))))

rewrite27.0ms

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×	`expm1-log1p-u` `log-prod` `associate-r` `associate-l` `log-pow` `log1p-expm1-u`
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 → 48

Calls

3 calls:

14.0ms	(* (exp re) (cos im))
7.0ms	(exp (* (exp re) (cos im)))
4.0ms	(log (exp (* (exp re) (cos im))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (exp re) (cos im))
48.0ms	(exp (* (exp re) (cos im)))
38.0ms	(log (exp (* (exp re) (cos im))))

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	128	271
1	363	236
2	1378	235
3	5001	235

prune125.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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

406.0ms	1482×	body	1280	valid
207.0ms	6912×	body	80	valid
197.0ms	1294×	body	640	valid
57.0ms	614×	body	320	valid
28.0ms	318×	body	160	valid