Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample60.0ms (2%)

Algorithm

1×

intervals

Results

37.0ms	75×	body	1280	valid
11.0ms	48×	body	640	valid
3.0ms	101×	body	80	valid
3.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune5.0ms (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: 36.3b

Counts

2 → 1

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.9b	(log (+ 1.0 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune53.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	6	19

Merged error: 0.1b

Counts

19 → 6

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (* x x) (* 1.0 1.0)))
0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0))))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-log-exp`
5×	`associate-r`
4×	`pow1` `cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
3×	`associate-r/` `associate-l*`
2×	`times-frac` `diff-log` `frac-sub` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 45

Calls

2 calls:

9.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0))))
8.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

series7.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (* x x) (* 1.0 1.0))))
3.0ms	(* 1/2 (/ (* x x) (* 1.0 1.0)))

simplify25.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5365	674

prune115.0ms (3.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	50	7	57

Merged error: 0.1b

Counts

57 → 7

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
2.9b	(log (sqrt (+ 1.0 x)))
2.9b	(log (sqrt (+ 1.0 x)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))

series18.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(log (sqrt (+ 1.0 x)))
5.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	848

prune208.0ms (6.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.1b

Counts

91 → 7

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
2.8b	(log (sqrt (cbrt (+ 1.0 x))))
2.9b	(log (sqrt (+ 1.0 x)))
3.0b	(log (fabs (cbrt (+ 1.0 x))))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-prod`
17×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
9×	`pow1`
8×	`cbrt-prod` `log-pow`
7×	`add-exp-log`
4×	`log-div` `cbrt-div` `sqrt-div` `add-cbrt-cube` `add-log-exp`
3×	`sqrt-pow1` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow1/2` `pow1/3`

Counts

4 → 70

Calls

4 calls:

5.0ms	(log (sqrt (cbrt (+ 1.0 x))))
4.0ms	(log (sqrt (+ 1.0 x)))
3.0ms	(cbrt (+ 1.0 x))
1.0ms	(log (fabs (cbrt (+ 1.0 x))))

series38.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(log (fabs (cbrt (+ 1.0 x))))
9.0ms	(cbrt (+ 1.0 x))
7.0ms	(log (sqrt (cbrt (+ 1.0 x))))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4895	817
1	4895	817

prune266.0ms (8.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0.1b

Counts

89 → 8

regimes219.0ms (7.2%)

Accuracy

Total 0.2b remaining (61.4%)

Threshold costs 0.2b (61.4%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	33
1	63	33

end0.0ms (0%)

sample1.7s (56.8%)

Algorithm

1×

intervals

Results

1.0s	2189×	body	1280	valid
390.0ms	1714×	body	640	valid
99.0ms	845×	body	320	valid
74.0ms	2836×	body	80	valid
30.0ms	416×	body	160	valid

Details

analyze3.0ms (0.1%)

sample60.0ms (2%)

simplify3.0ms (0.1%)

prune5.0ms (0.2%)

localize4.0ms (0.1%)

rewrite4.0ms (0.1%)

series3.0ms (0.1%)

simplify70.0ms (2.3%)

prune53.0ms (1.8%)

localize10.0ms (0.3%)

rewrite19.0ms (0.6%)

series7.0ms (0.2%)

simplify25.0ms (0.8%)

prune115.0ms (3.8%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series18.0ms (0.6%)

simplify49.0ms (1.6%)

prune208.0ms (6.8%)

localize14.0ms (0.5%)

rewrite14.0ms (0.5%)

series38.0ms (1.3%)

simplify80.0ms (2.6%)

prune266.0ms (8.8%)

regimes219.0ms (7.2%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (56.8%)

Profiling