Details

analyze360.0ms

Algorithm: search

sample90.0ms

Algorithm

intervals

Results

27.0ms	50×	body	1280	valid
15.0ms	45×	body	1280	invalid
10.0ms	35×	body	640	valid
8.0ms	143×	body	80	valid
8.0ms	33×	body	640	invalid
4.0ms	12×	body	160	invalid
3.0ms	17×	body	320	invalid
3.0ms	15×	body	320	valid
1.0ms	13×	body	160	valid
1.0ms	16×	body	80	invalid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b	(+ (exp (neg im)) (exp im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(+ (exp (neg im)) (exp im))

series18.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms	(+ (exp (neg im)) (exp im))

simplify41.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune51.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

6.0ms	(* (* 0.5 (cos re)) (exp im))
7.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series37.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* 0.5 (cos re)) (exp im))
19.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
10.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384

prune65.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))
0.4b	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
0.8b	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac` `add-cbrt-cube`
14×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow-unpow` `pow-exp` `associate-/r*` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube` `flip-+` `associate-/l*`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ (* 0.5 (cos re)) (exp im))
6.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
4.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

series56.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3)) (* (* 0.5 (cos re)) (exp im)))
10.0ms	(/ (* 0.5 (cos re)) (exp im))
17.0ms	(pow (/ (* 0.5 (cos re)) (exp im)) 3)
10.0ms	(cbrt (pow (/ (* 0.5 (cos re)) (exp im)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	403	843
1	2277	751
2	5001	744

prune114.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))
1.0b	(cbrt (+ (exp (neg im)) (exp im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

15.0ms	(* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))
5.0ms	(cbrt (+ (exp (neg im)) (exp im)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (+ (exp (neg im)) (exp im))) (cbrt (+ (exp (neg im)) (exp im))))
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))
25.0ms	(cbrt (+ (exp (neg im)) (exp im)))
22.0ms	(cbrt (+ (exp (neg im)) (exp im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	234	1278
1	854	1142
2	5001	1071

prune91.0ms

Filtered

71 candidates to 107 candidates (-50.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes244.0ms

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	13	7
1	13	7

end0.0ms

analyze362.0ms

Algorithm: search

sample2.7s

Algorithm

intervals

Results

792.0ms	1527×	body	1280	valid
493.0ms	1500×	body	1280	invalid
331.0ms	1199×	body	640	valid
281.0ms	1219×	body	640	invalid
239.0ms	4310×	body	80	valid
114.0ms	646×	body	320	valid
102.0ms	624×	body	320	invalid
37.0ms	342×	body	160	invalid
36.0ms	318×	body	160	valid
36.0ms	564×	body	80	invalid

Details

analyze360.0ms

sample90.0ms

simplify66.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series18.0ms

simplify41.0ms

prune51.0ms

localize11.0ms

rewrite20.0ms

series37.0ms

simplify49.0ms

prune65.0ms

localize14.0ms

rewrite28.0ms

series56.0ms

simplify79.0ms

prune114.0ms

localize13.0ms

rewrite34.0ms

series103.0ms

simplify41.0ms

prune91.0ms

regimes244.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze362.0ms

sample2.7s

Profiling