Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	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

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) (sin im))

rewrite6.0ms

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:

5.0ms

(* (exp re) (sin im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (exp re) (sin im))

simplify166.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite22.0ms

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:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
50.0ms	(* (sqrt (exp re)) (sin im))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify59.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune177.0ms

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)))

rewrite23.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`log-prod`
2×	`*-commutative` `unswap-sqr`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 79

Calls

4 calls:

3.0ms	(exp (sqrt (exp re)))
6.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(log (exp (sqrt (exp re))))
10.0ms	(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(exp (sqrt (exp re)))
46.0ms	(* (sqrt (exp re)) (sin im))
12.0ms	(log (exp (sqrt (exp re))))
40.0ms	(* (log (exp (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify69.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	241	551
1	884	448
2	2955	443
3	5001	432

prune198.0ms

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))))

rewrite43.0ms

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×	`add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

3.0ms	(sqrt (sqrt (exp re)))
6.0ms	(* (sqrt (exp re)) (sin im))
11.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
16.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (sqrt (exp re)))
51.0ms	(* (sqrt (exp re)) (sin im))
95.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))
37.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	301	846
1	1121	679
2	5002	632

prune233.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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

472.0ms	1538×	body	1280	valid
265.0ms	6940×	body	80	valid
215.0ms	1233×	body	640	valid
68.0ms	597×	body	320	valid
24.0ms	311×	body	160	valid