Details

analyze339.0ms

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

sample52.0ms

Algorithm

intervals

Results

11.0ms	40×	body	1280	invalid
9.0ms	197×	body	80	valid
7.0ms	34×	body	640	invalid
5.0ms	27×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	13×	body	320	invalid
2.0ms	12×	body	320	valid
1.0ms	10×	body	160	invalid
1.0ms	10×	body	160	valid
1.0ms	16×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	756	7
1	756	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 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) x)
0.4b	(* (sin x) (/ (sinh y) x))

rewrite16.0ms

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:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) x)
7.0ms	(* (sin x) (/ (sinh y) x))

series40.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
13.0ms	(/ (sinh y) x)
19.0ms	(* (sin x) (/ (sinh y) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4939	627
1	4939	627

prune93.0ms

Filtered

62 candidates to 77 candidates (-24.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x)
0.0b	(* 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))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`associate-r`
29×	`add-cube-cbrt`
25×	`times-frac`
21×	`add-exp-log`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
7×	`distribute-lft-out`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `associate-/l*` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 124

Calls

4 calls:

8.0ms	(/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x)
5.0ms	(* 1/120 (pow y 5))
6.0ms	(* 1/6 (pow y 3))
11.0ms	(* (sin x) (/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x))

series58.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x)
4.0ms	(* 1/120 (pow y 5))
4.0ms	(* 1/6 (pow y 3))
40.0ms	(* (sin x) (/ (+ y (+ (* 1/6 (pow y 3)) (* 1/120 (pow y 5)))) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5705	1904

prune218.0ms

Filtered

90 candidates to 136 candidates (-51.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	136	7	143

Merged error: 0b

Counts

143 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.4b	(* (sin x) (/ 1 (/ x (sinh y))))
0.8b	(/ 1 (/ x (sinh y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
17.0ms	(* (sin x) (/ 1 (/ x (sinh y))))
6.0ms	(/ 1 (/ x (sinh y)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
22.0ms	(/ x (sinh y))
19.0ms	(* (sin x) (/ 1 (/ x (sinh y))))
15.0ms	(/ 1 (/ x (sinh y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4992	1908
1	4992	1908

prune169.0ms

Filtered

143 candidates to 204 candidates (-42.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	206	5	211

Merged error: 0b

Counts

211 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ x (sinh y))
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

1.0ms	(sinh y)
3.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series65.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(sinh y)
36.0ms	(/ x (sinh y))
20.0ms	(/ (sin x) (/ x (sinh y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4937	1371
1	4937	1371

prune89.0ms

Filtered

101 candidates to 119 candidates (-17.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes130.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms

analyze328.0ms

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

sample1.7s

Algorithm

intervals

Results

417.0ms	1435×	body	1280	invalid
273.0ms	6094×	body	80	valid
229.0ms	1216×	body	640	invalid
142.0ms	715×	body	640	valid
131.0ms	367×	body	1280	valid
79.0ms	585×	body	320	invalid
76.0ms	514×	body	320	valid
35.0ms	310×	body	160	valid
28.0ms	297×	body	160	invalid
28.0ms	521×	body	80	invalid

Details

analyze339.0ms

sample52.0ms

simplify33.0ms

prune9.0ms

localize6.0ms

rewrite16.0ms

series40.0ms

simplify64.0ms

prune93.0ms

localize13.0ms

rewrite33.0ms

series58.0ms

simplify52.0ms

prune218.0ms

localize8.0ms

rewrite36.0ms

series64.0ms

simplify61.0ms

prune169.0ms

localize6.0ms

rewrite14.0ms

series65.0ms

simplify56.0ms

prune89.0ms

regimes130.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze328.0ms

sample1.7s

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