Details

sample29.0ms

Algorithm

intervals

Results

7.0ms	168×	body	80	valid
6.0ms	25×	body	1280	valid
5.0ms	34×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	14×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 59

Calls

2 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	213	320
1	988	289
2	5002	289

prune127.0ms

Filtered

65 candidates to 48 candidates (73.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series397.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune167.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
2.8b	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
14.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

series343.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (sin y))
104.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))
39.0ms	(* (* (* (cbrt (sin y)) (cbrt (sin y))) x) (/ (cbrt (sin y)) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	388	816
1	2219	599
2	5001	535

prune192.0ms

Filtered

92 candidates to 65 candidates (70.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
5.1b	(* (* x (sin y)) (/ 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

4.0ms	(* x (sin y))
8.0ms	(* (* x (sin y)) (/ 1 y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (sin y))
52.0ms	(* (* x (sin y)) (/ 1 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	286	307
1	1568	245
2	5001	231

prune72.0ms

Filtered

62 candidates to 35 candidates (56.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	62	8	70

Merged error: 0.0b

Counts

70 → 8

regimes110.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample868.0ms

Algorithm

intervals

Results

243.0ms	919×	body	1280	valid
211.0ms	5192×	body	80	valid
171.0ms	1021×	body	640	valid
64.0ms	547×	body	320	valid
27.0ms	321×	body	160	valid