Details

sample81.0ms

Algorithm

intervals

Results

26.0ms	89×	body	1280	valid
16.0ms	89×	body	640	valid
12.0ms	282×	body	80	valid
5.0ms	38×	body	320	valid
2.0ms	25×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	500	4
6	1427	4
7	4640	4
8	5001	4

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

8.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series41.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
7.0ms	(sinh y)
23.0ms	(* (sin x) (/ (sinh y) y))

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune73.0ms

Filtered

77 candidates to 60 candidates (22.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (sqrt (/ (sinh y) y)))
0.0b	(sqrt (/ (sinh y) y))
0.0b	(sqrt (/ (sinh y) y))
0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-div`
4×	`rem-sqrt-square` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 118

Calls

4 calls:

8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
11.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
20.0ms	(sqrt (/ (sinh y) y))
22.0ms	(sqrt (/ (sinh y) y))
40.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1121	1588
1	5001	1463

prune181.0ms

Filtered

130 candidates to 106 candidates (18.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1/6 (* x (pow y 2))) x) (* 1/6 (pow x 3)))
0.1b	(* 1/6 (pow x 3))
0.2b	(* 1/6 (* x (pow y 2)))
8.5b	(* x (pow y 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down` `unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative`
2×	`diff-log` `unpow2`
1×	`cube-mult` `sub-neg` `flip3--` `unpow3` `pow-prod-down` `associate--l+` `sum-log` `flip--`

Counts

4 → 91

Calls

4 calls:

8.0ms	(- (+ (* 1/6 (* x (pow y 2))) x) (* 1/6 (pow x 3)))
6.0ms	(* 1/6 (pow x 3))
5.0ms	(* 1/6 (* x (pow y 2)))
5.0ms	(* x (pow y 2))

series30.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(- (+ (* 1/6 (* x (pow y 2))) x) (* 1/6 (pow x 3)))
4.0ms	(* 1/6 (pow x 3))
7.0ms	(* 1/6 (* x (pow y 2)))
7.0ms	(* x (pow y 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	328	478
1	1515	426
2	5002	418

prune123.0ms

Filtered

103 candidates to 60 candidates (41.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

regimes132.0ms

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	10	9
1	10	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

904.0ms	3005×	body	1280	valid
464.0ms	2421×	body	640	valid
380.0ms	8511×	body	80	valid
164.0ms	1186×	body	320	valid
58.0ms	630×	body	160	valid

Details

sample81.0ms

simplify81.0ms

prune3.0ms

localize6.0ms

rewrite18.0ms

series41.0ms

simplify39.0ms

prune73.0ms

localize12.0ms

rewrite29.0ms

series128.0ms

simplify38.0ms

prune181.0ms

localize10.0ms

rewrite26.0ms

series30.0ms

simplify53.0ms

prune123.0ms

regimes132.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

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