Details

sample43.0ms

Algorithm

intervals

Results

17.0ms	54×	body	1280	valid
8.0ms	215×	body	80	valid
5.0ms	30×	body	640	valid
2.0ms	21×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify172.0ms

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

prune49.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
23.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
50.0ms	(* (sqrt (exp re)) (sin im))
39.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify65.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	184	460
1	670	406
2	2419	403
3	5002	390

prune211.0ms

Filtered

95 candidates to 66 candidates (69.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`exp-prod`
16×	`associate-l`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
13×	`pow1` `sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`log-prod`
2×	`*-commutative` `unswap-sqr`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 87

Calls

4 calls:

2.0ms	(exp (sqrt (exp re)))
8.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(log (exp (sqrt (exp re))))
23.0ms	(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(exp (sqrt (exp re)))
46.0ms	(* (sqrt (exp re)) (sin im))
12.0ms	(log (exp (sqrt (exp re))))
43.0ms	(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	255	593
1	922	493
2	3145	486
3	5001	474

prune228.0ms

Filtered

99 candidates to 67 candidates (67.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-l`
22×	`pow1` `add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

2.0ms	(sqrt (sqrt (exp re)))
8.0ms	(* (sqrt (exp re)) (sin im))
23.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
69.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (sqrt (exp re)))
50.0ms	(* (sqrt (exp re)) (sin im))
94.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
37.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify43.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	316	901
1	1166	737
2	5001	690

prune282.0ms

Filtered

115 candidates to 78 candidates (67.8%)

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	6	3
1	6	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

470.0ms	1538×	body	1280	valid
263.0ms	6940×	body	80	valid
211.0ms	1233×	body	640	valid
67.0ms	597×	body	320	valid
29.0ms	311×	body	160	valid