Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	50×	body	1280	valid
7.0ms	227×	body	80	valid
6.0ms	43×	body	640	valid
2.0ms	12×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:

5.0ms

(* (exp re) (cos im))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* (exp re) (cos im))

simplify145.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (141.0ms)

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
8×	`add-exp-log` `sqrt-pow1` `add-cbrt-cube`
6×	`exp-prod` `associate-l`
3×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2`
1×	`associate-r` `*-commutative`

Counts

3 → 59

Calls

3 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
33.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify86.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (81.0ms)

Iter	Nodes	Cost
0	135	304
1	393	260
2	1012	254
3	2372	245
4	5001	243

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(log1p (expm1 (* (exp re) (cos im))))
0.4b	(expm1 (* (exp re) (cos im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

5.0ms	(* (exp re) (cos im))
1.0ms	(log1p (expm1 (* (exp re) (cos im))))
1.0ms	(expm1 (* (exp re) (cos im)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (exp re) (cos im))
66.0ms	(log1p (expm1 (* (exp re) (cos im))))
59.0ms	(expm1 (* (exp re) (cos im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	130	241
1	400	211
2	1501	209
3	5001	209

prune107.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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

sample1.1s

Algorithm

intervals

Results

429.0ms	1483×	body	1280	valid
209.0ms	6899×	body	80	valid
195.0ms	1295×	body	640	valid
68.0ms	650×	body	320	valid
22.0ms	323×	body	160	valid