Details

sample99.0ms

Algorithm

intervals

Results

40.0ms	107×	body	1280	valid
19.0ms	75×	body	640	valid
15.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify44.0ms

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	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 44

Calls

2 calls:

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

series185.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sinh y)
123.0ms	(* (sin x) (/ (sinh y) y))

simplify36.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	286	287
1	1185	252
2	5001	243

prune107.0ms

Filtered

50 candidates to 39 candidates (78.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0b

Counts

51 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
40×	`add-sqr-sqrt`
30×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
8×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `associate-l` `div-inv` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`sinh-def` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sinh y)
186.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
81.0ms	(sqrt (/ (sinh y) y))
80.0ms	(sqrt (/ (sinh y) y))

simplify91.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	858	1115
1	3704	1000
2	5001	947

prune375.0ms

Filtered

112 candidates to 94 candidates (83.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize11.0ms

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))
2.7b	(log (sqrt (/ (sinh y) y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-prod`
48×	`add-sqr-sqrt`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`log-prod` `associate-r`
10×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-div` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-l` `log-pow` `unswap-sqr`
1×	`log-div` `associate-r/` `rem-log-exp` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
7.0ms	(sqrt (/ (sinh y) y))
4.0ms	(log (sqrt (/ (sinh y) y)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
82.0ms	(sqrt (/ (sinh y) y))
81.0ms	(sqrt (/ (sinh y) y))
195.0ms	(log (sqrt (/ (sinh y) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1352	1727
1	5001	1580

prune597.0ms

Filtered

132 candidates to 113 candidates (85.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	132	3	135

Merged error: 0b

Counts

135 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
2.7b	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
2.7b	(log (sqrt (cbrt (/ (sinh y) y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
81×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
60×	`times-frac`
58×	`log-pow`
57×	`add-cube-cbrt`
54×	`pow1`
46×	`log-prod`
42×	`sqrt-pow1`
34×	`sqrt-prod`
28×	`pow1/3`
19×	`associate-+r+`
16×	`swap-sqr` `associate-r` `associate-l`
14×	`cbrt-div` `fma-def`
10×	`distribute-rgt-out`
9×	`pow1/2` `pow-sqr` `pow-prod-up` `unswap-sqr`
8×	`add-exp-log` `log-div` `sqrt-div` `pow-prod-down` `distribute-lft-out`
6×	`div-inv`
5×	`pow2` `pow-plus`
4×	`expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `associate-+l-` `associate-r/` `associate-l/`
2×	`rem-log-exp`
1×	`+-commutative` `associate-+r-` `flip3-+` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 214

Calls

4 calls:

14.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
23.0ms	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
9.0ms	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
5.0ms	(log (sqrt (cbrt (/ (sinh y) y))))

series1.9s

Counts

4 → 12

Calls

4 calls:

251.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
819.0ms	(+ (log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))) (log (sqrt (cbrt (/ (sinh y) y)))))
393.0ms	(log (sqrt (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))))
417.0ms	(log (sqrt (cbrt (/ (sinh y) y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	670	2410
1	1936	2294
2	5002	2122

prune991.0ms

Filtered

226 candidates to 171 candidates (75.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	226	3	229

Merged error: 0b

Counts

229 → 3

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	22
1	19	22

end0.0ms

sample2.2s

Algorithm

intervals

Results

846.0ms	2964×	body	1280	valid
451.0ms	2510×	body	640	valid
365.0ms	8573×	body	80	valid
160.0ms	1203×	body	320	valid
51.0ms	582×	body	160	valid