Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	49×	body	1280	valid
8.0ms	225×	body	80	valid
7.0ms	44×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	7×	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) (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×	`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) (sin im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (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

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 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)) (* (sqrt (exp re)) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

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×	`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:

6.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series108.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (sqrt (exp re)) (sin im))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify60.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	184	462
1	656	406
2	2370	403
3	5002	390

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

16.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series76.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
15.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify71.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	198	560
1	726	441
2	2894	409
3	5001	390

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (exp re))) (* (pow (exp 1) (* 1/2 re)) (sin im)))
0.0b	(pow (exp 1) (* 1/2 re))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `sqrt-prod`
13×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `exp-prod` `associate-l` `add-cbrt-cube`
8×	`sqrt-pow1`
7×	`prod-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `cbrt-unprod`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp`
1×	`pow-unpow` `associate-r` `pow-prod-down` `*-commutative` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

10.0ms	(* (sqrt (sqrt (exp re))) (* (pow (exp 1) (* 1/2 re)) (sin im)))
3.0ms	(pow (exp 1) (* 1/2 re))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series132.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (sqrt (sqrt (exp re))) (* (pow (exp 1) (* 1/2 re)) (sin im)))
12.0ms	(pow (exp 1) (* 1/2 re))
11.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))

simplify116.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	255	527
1	804	463
2	3900	422
3	5001	396

prune303.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes78.0ms

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

sample1.2s

Algorithm

intervals

Results

455.0ms	1511×	body	1280	valid
258.0ms	7006×	body	80	valid
219.0ms	1257×	body	640	valid
77.0ms	598×	body	320	valid
24.0ms	308×	body	160	valid