Details

sample85.0ms

Algorithm

intervals

Results

29.0ms	92×	body	1280	valid
20.0ms	81×	body	640	valid
11.0ms	248×	body	80	valid
5.0ms	40×	body	320	valid
2.0ms	22×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5689	7

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(* (cos x) (/ (sinh y) y))
1.0ms	(sinh y)
3.0ms	(/ (sinh y) y)

series40.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (cos x) (/ (sinh y) y))
8.0ms	(sinh y)
13.0ms	(/ (sinh y) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5923	621

prune74.0ms

Filtered

62 candidates to 77 candidates (-24.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
28×	`sqrt-prod`
19×	`associate-r`
17×	`associate-l`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `associate-*r/`

Counts

4 → 124

Calls

4 calls:

7.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
3.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
11.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
53.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5052	1696

prune128.0ms

Filtered

107 candidates to 136 candidates (-27.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos x)) (cbrt (cos x)))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos 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 (cos x)) (cbrt (cos x)))
1.0ms	(cbrt (cos x))
1.0ms	(cbrt (cos x))
1.0ms	(cbrt (cos x))

series77.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos x)) (cbrt (cos x)))
17.0ms	(cbrt (cos x))
16.0ms	(cbrt (cos x))
17.0ms	(cbrt (cos x))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5512	477

prune66.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes182.0ms

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	7	7
1	7	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

886.0ms	2921×	body	1280	valid
449.0ms	2455×	body	640	valid
362.0ms	8446×	body	80	valid
160.0ms	1240×	body	320	valid
71.0ms	675×	body	160	valid

Details

sample85.0ms

simplify50.0ms

prune3.0ms

localize7.0ms

rewrite13.0ms

series40.0ms

simplify45.0ms

prune74.0ms

localize9.0ms

rewrite28.0ms

series135.0ms

simplify51.0ms

prune128.0ms

localize12.0ms

rewrite11.0ms

series77.0ms

simplify57.0ms

prune66.0ms

regimes182.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling