Details

sample66.0ms

Algorithm

intervals

Results

23.0ms	55×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

5.0ms	(+ (* x (sin y)) (* z (cos y)))
5.0ms	(* x (sin y))
5.0ms	(* z (cos y))

series34.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
7.0ms	(* z (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4942	396
1	4942	396

prune94.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series91.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
21.0ms	(cbrt (sin y))
21.0ms	(cbrt (sin y))
23.0ms	(cbrt (sin y))

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5144	493

prune119.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Merged error: 0.0b

Counts

94 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series105.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt x) (cbrt x))
25.0ms	(cbrt x)
24.0ms	(cbrt x)
28.0ms	(cbrt x)

simplify65.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5837	334

prune111.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series90.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
20.0ms	(cbrt (cos y))
22.0ms	(cbrt (cos y))
20.0ms	(cbrt (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5514	477

prune76.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

regimes260.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	15	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

647.0ms	1517×	body	1280	valid
355.0ms	1265×	body	640	valid
304.0ms	4316×	body	80	valid
123.0ms	592×	body	320	valid
43.0ms	310×	body	160	valid

Details

sample66.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite15.0ms

series34.0ms

simplify47.0ms

prune94.0ms

localize13.0ms

rewrite15.0ms

series91.0ms

simplify43.0ms

prune119.0ms

localize13.0ms

rewrite13.0ms

series105.0ms

simplify65.0ms

prune111.0ms

localize13.0ms

rewrite14.0ms

series90.0ms

simplify53.0ms

prune76.0ms

regimes260.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Profiling