Details

sample57.0ms

Algorithm

intervals

Results

18.0ms	49×	body	1280	valid
12.0ms	239×	body	80	valid
9.0ms	42×	body	640	valid
4.0ms	28×	body	320	valid
1.0ms	14×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (sin im))

simplify165.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

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

prune97.0ms

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

rewrite35.0ms

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:

9.0ms	(* (sqrt (exp re)) (sin im))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (sqrt (exp re)) (sin im))
2.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify62.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2419	403
3	5001	390

prune444.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(expm1 (log1p (* (exp re) (sin im))))
0.2b	(log1p (* (exp re) (sin 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` `expm1-log1p-u`
3×	`associate-r` `associate-l` `log1p-expm1-u` `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:

6.0ms	(* (exp re) (sin im))
0.0ms	(expm1 (log1p (* (exp re) (sin im))))
0.0ms	(log1p (* (exp re) (sin im)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (exp re) (sin im))
22.0ms	(expm1 (log1p (* (exp re) (sin im))))
15.0ms	(log1p (* (exp re) (sin im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	128	244
1	382	212
2	1413	208
3	5001	205

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

3.1b	(fma (fma (* 1/2 re) re re) im im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma (* 1/2 re) re re) im im)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(fma (fma (* 1/2 re) re re) im im)

simplify107.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	63
1	122	53
2	551	53
3	3223	53
4	5001	53

prune56.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes212.0ms

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

sample1.6s

Algorithm

intervals

Results

594.0ms	1540×	body	1280	valid
352.0ms	6978×	body	80	valid
284.0ms	1225×	body	640	valid
103.0ms	627×	body	320	valid
35.0ms	294×	body	160	valid