Details

analyze331.0ms (9.8%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample86.0ms (2.6%)

Algorithm

1×

intervals

Results

18.0ms	46×	body	1280	valid
16.0ms	44×	body	1280	invalid
11.0ms	50×	body	640	invalid
10.0ms	31×	body	640	valid
7.0ms	139×	body	80	valid
5.0ms	28×	body	320	valid
2.0ms	14×	body	320	invalid
1.0ms	11×	body	160	invalid
1.0ms	12×	body	160	valid
1.0ms	17×	body	80	invalid

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune6.0ms (0.2%)

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 (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series20.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ (sinh y) y)
9.0ms	(sinh y)

simplify35.0ms (1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4917	299
1	4917	299

prune55.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ y (sinh y)))
0.0b	(/ y (sinh y))
0.0b	(sinh y)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

3 → 116

Calls

3 calls:

6.0ms	(/ 1 (/ y (sinh y)))
3.0ms	(/ y (sinh y))
1.0ms	(sinh y)

series35.0ms (1%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ y (sinh y))
11.0ms	(/ 1 (/ y (sinh y)))
8.0ms	(sinh y)

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4906	1126
1	4906	1126

prune130.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Merged error: 0b

Counts

127 → 2

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sinh y)) (cbrt (sinh y)))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
7×	`sinh-def` `cbrt-div`
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` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* (cbrt (sinh y)) (cbrt (sinh y)))
2.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))

series116.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (sinh y)) (cbrt (sinh y)))
29.0ms	(cbrt (sinh y))
27.0ms	(cbrt (sinh y))
27.0ms	(cbrt (sinh y))

simplify64.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4809	621
1	4809	621

prune101.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

regimes98.0ms (2.9%)

Accuracy

Total 0.0b remaining (13.6%)

Threshold costs 0.0b (13.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms (0%)

sample2.1s (63.6%)

Algorithm

1×

intervals

Results

506.0ms	1484×	body	1280	valid
437.0ms	1477×	body	1280	invalid
249.0ms	1268×	body	640	valid
239.0ms	1223×	body	640	invalid
187.0ms	4288×	body	80	valid
85.0ms	631×	body	320	valid
84.0ms	599×	body	320	invalid
30.0ms	523×	body	80	invalid
30.0ms	329×	body	160	valid
29.0ms	309×	body	160	invalid

Details

analyze331.0ms (9.8%)

sample86.0ms (2.6%)

simplify41.0ms (1.2%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series20.0ms (0.6%)

simplify35.0ms (1%)

prune55.0ms (1.6%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series35.0ms (1%)

simplify48.0ms (1.4%)

prune130.0ms (3.9%)

localize10.0ms (0.3%)

rewrite13.0ms (0.4%)

series116.0ms (3.5%)

simplify64.0ms (1.9%)

prune101.0ms (3%)

regimes98.0ms (2.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.1s (63.6%)

Profiling