Details

sample91.0ms

Algorithm

intervals

Results

38.0ms	96×	body	1280	valid
20.0ms	89×	body	640	valid
12.0ms	258×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	20×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

12.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	234	248
1	1124	203
2	5001	203

prune57.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* re (pow im 2)))
0.1b	(* 0.16666666666666666 (pow re 3))
9.6b	(* re (pow im 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
5×	`pow1` `cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 77

Calls

3 calls:

5.0ms	(* 0.5 (* re (pow im 2)))
6.0ms	(* 0.16666666666666666 (pow re 3))
5.0ms	(* re (pow im 2))

series105.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 0.5 (* re (pow im 2)))
41.0ms	(* 0.16666666666666666 (pow re 3))
30.0ms	(* re (pow im 2))

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	315
1	1155	269
2	5001	267

prune164.0ms

Filtered

86 candidates to 49 candidates (57.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (pow re 3))
1.4b	(exp (log (* re (pow im 2))))
9.6b	(* re (pow im 2))
31.8b	(log (* re (pow im 2)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-exp-log` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
8×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
6×	`pow1` `associate-l`
4×	`exp-prod` `cube-prod` `rem-log-exp` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`log-prod` `log-pow` `*-commutative` `cbrt-unprod` `unpow2`
1×	`cube-mult` `unpow3` `exp-sum` `rem-exp-log`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (pow re 3))
7.0ms	(exp (log (* re (pow im 2))))
5.0ms	(* re (pow im 2))
4.0ms	(log (* re (pow im 2)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 0.16666666666666666 (pow re 3))
30.0ms	(exp (log (* re (pow im 2))))
34.0ms	(* re (pow im 2))
54.0ms	(log (* re (pow im 2)))

simplify37.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	275	330
1	1101	289
2	5002	284

prune218.0ms

Filtered

96 candidates to 56 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (pow re 3))
1.4b	(pow E (log (* re (pow im 2))))
9.6b	(* re (pow im 2))
31.8b	(log (* re (pow im 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-exp-log`
20×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down`
9×	`prod-exp`
8×	`add-cbrt-cube` `unswap-sqr`
7×	`pow1`
6×	`associate-l`
5×	`pow-exp` `sqr-pow`
4×	`pow-to-exp` `pow-unpow` `cube-prod` `rem-log-exp` `add-log-exp`
2×	`log-prod` `log-pow` `*-commutative` `cbrt-unprod` `unpow2`
1×	`unpow-prod-up` `cube-mult` `e-exp-1` `pow-pow` `unpow3`

Counts

4 → 91

Calls

4 calls:

6.0ms	(* 0.16666666666666666 (pow re 3))
5.0ms	(pow E (log (* re (pow im 2))))
5.0ms	(* re (pow im 2))
4.0ms	(log (* re (pow im 2)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* 0.16666666666666666 (pow re 3))
96.0ms	(pow E (log (* re (pow im 2))))
33.0ms	(* re (pow im 2))
53.0ms	(log (* re (pow im 2)))

simplify43.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	327	409
1	1346	352
2	5002	336

prune244.0ms

Filtered

103 candidates to 62 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes183.0ms

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	14	7
1	14	7

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	3040×	body	1280	valid
601.0ms	2521×	body	640	valid
581.0ms	8609×	body	80	valid
208.0ms	1284×	body	320	valid
71.0ms	656×	body	160	valid