Details

analyze364.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample61.0ms

Algorithm

intervals

Results

15.0ms	52×	body	1280	invalid
9.0ms	203×	body	80	valid
8.0ms	25×	body	640	valid
7.0ms	36×	body	640	invalid
4.0ms	11×	body	1280	valid
2.0ms	17×	body	320	invalid
1.0ms	10×	body	320	valid
1.0ms	19×	body	80	invalid
1.0ms	7×	body	160	valid
1.0ms	6×	body	160	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	7

prune9.0ms

Filtered

1 candidates to 1 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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (/ (sinh y) x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
6.0ms	(* (sin x) (/ (sinh y) x))

series29.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(sinh y)
19.0ms	(* (sin x) (/ (sinh y) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4943	383
1	4943	383

prune67.0ms

Filtered

35 candidates to 46 candidates (-31.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	39	7	46
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	40	8	48

Merged error: 0.0b

Counts

48 → 8

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))
0.1b	(* (sin x) (/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
35×	`associate-r`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`add-exp-log`
13×	`times-frac`
12×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
5×	`pow1`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative` `distribute-lft-out` `add-log-exp`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `cube-mult` `unpow3` `associate-*r/` `div-exp` `pow-prod-down` `div-inv`

Counts

3 → 91

Calls

3 calls:

5.0ms	(* 1/120 (pow y 5))
6.0ms	(* 1/6 (pow y 3))
12.0ms	(* (sin x) (/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x))

series49.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 1/120 (pow y 5))
4.0ms	(* 1/6 (pow y 3))
41.0ms	(* (sin x) (/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4957	1137
1	4957	1137

prune165.0ms

Filtered

64 candidates to 100 candidates (-56.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	100	8	108

Merged error: 0.0b

Counts

108 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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:

5.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))
1.0ms	(cbrt (sin x))

series76.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin x)) (cbrt (sin x)))
19.0ms	(cbrt (sin x))
17.0ms	(cbrt (sin x))
17.0ms	(cbrt (sin x))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4955	490
1	4955	490

prune88.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0b

Counts

93 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
13.5b	(cbrt (/ (sinh y) x))
13.5b	(cbrt (/ (sinh y) x))
13.5b	(cbrt (/ (sinh y) x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))
2.0ms	(cbrt (/ (sinh y) x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
32.0ms	(cbrt (/ (sinh y) x))
35.0ms	(cbrt (/ (sinh y) x))
32.0ms	(cbrt (/ (sinh y) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4902	1819
1	4902	1819

prune150.0ms

Filtered

126 candidates to 156 candidates (-23.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	156	9	165

Merged error: 0b

Counts

165 → 9

regimes288.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

440.0ms	1507×	body	1280	invalid
280.0ms	6125×	body	80	valid
249.0ms	1205×	body	640	invalid
150.0ms	706×	body	640	valid
137.0ms	398×	body	1280	valid
87.0ms	611×	body	320	invalid
66.0ms	483×	body	320	valid
32.0ms	566×	body	80	invalid
30.0ms	303×	body	160	invalid
27.0ms	288×	body	160	valid

Details

analyze364.0ms

sample61.0ms

simplify37.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series29.0ms

simplify49.0ms

prune67.0ms

localize13.0ms

rewrite25.0ms

series49.0ms

simplify39.0ms

prune165.0ms

localize10.0ms

rewrite11.0ms

series76.0ms

simplify51.0ms

prune88.0ms

localize13.0ms

rewrite24.0ms

series142.0ms

simplify63.0ms

prune150.0ms

regimes288.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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