Details

sample161.0ms

Algorithm

intervals

Results

86.0ms	184×	body	1280	valid
33.0ms	122×	body	640	valid
12.0ms	63×	body	320	valid
7.0ms	130×	body	80	valid
3.0ms	24×	body	160	valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	44	7
2	99	7
3	185	7
4	318	7
5	766	7
6	1270	7
7	1742	7
8	4161	7
9	5002	7

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 58.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.9b	(- (exp (- 0.0 im)) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

11.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms	(- (exp (- 0.0 im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms	(- (exp (- 0.0 im)) (exp im))

simplify39.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	399
1	1086	344
2	5001	343

prune81.0ms

Filtered

46 candidates to 30 candidates (34.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow im 5)) (* 2 im))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b	(* -1/3 (pow im 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`+-commutative` `cube-mult` `flip3--` `flip3-+` `unpow3` `sum-log` `flip--` `flip-+`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms	(* 1/60 (pow im 5))
10.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series54.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
4.0ms	(* 1/60 (pow im 5))
35.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(* -1/3 (pow im 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	479	664
1	2204	585
2	5003	585

prune206.0ms

Filtered

103 candidates to 64 candidates (37.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
52.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
54.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
54.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	382	1476
1	1336	1397
2	5002	1308

prune476.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

16.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
21.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
19.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
20.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	403	2076
1	1513	1955
2	5002	1832

prune554.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	99	11	110

Merged error: 0.0b

Counts

110 → 11

regimes461.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.6s	5628×	body	1280	valid
973.0ms	3507×	body	640	valid
282.0ms	1563×	body	320	valid
249.0ms	4393×	body	80	valid
79.0ms	679×	body	160	valid

Details

sample161.0ms

simplify91.0ms

prune4.0ms

localize10.0ms

rewrite19.0ms

series20.0ms

simplify39.0ms

prune81.0ms

localize14.0ms

rewrite27.0ms

series54.0ms

simplify67.0ms

prune206.0ms

localize19.0ms

rewrite25.0ms

series220.0ms

simplify55.0ms

prune476.0ms

localize22.0ms

rewrite37.0ms

series84.0ms

simplify59.0ms

prune554.0ms

regimes461.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.6s

Profiling