Details

analyze5.0ms (0.2%)

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

sample67.0ms (2.2%)

Algorithm

1×

intervals

Results

37.0ms	73×	body	1280	valid
17.0ms	71×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	75×	body	80	valid
1.0ms	13×	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: 42.8b

Counts

2 → 1

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.5b	(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))

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune47.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`pow1`
5×	`add-sqr-sqrt`
4×	`cbrt-undiv` `times-frac` `div-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
2×	`unswap-sqr`
1×	`associate-r/` `associate-l` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(* (* x x) (/ -1/2 (* 1.0 1.0)))

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x x) (/ -1/2 (* 1.0 1.0)))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5285	305

prune73.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.1b

Counts

41 → 5

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.2b	(pow (log (+ 1.0 x)) 3)
3.5b	(log (+ 1.0 x))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

3.0ms	(log (+ 1.0 x))
2.0ms	(pow (log (+ 1.0 x)) 3)
2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))

series16.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))
3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	807

prune145.0ms (4.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0.1b

Counts

77 → 5

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
0.8b	(pow (log (+ 1.0 x)) (sqrt 3))
1.1b	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
3.5b	(log (+ 1.0 x))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`unpow-prod-down`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `pow-unpow`
9×	`pow1`
8×	`add-exp-log`
6×	`sqrt-prod`
5×	`pow-exp` `sqr-pow`
4×	`log-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

4.0ms	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
3.0ms	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
3.0ms	(log (+ 1.0 x))
3.0ms	(pow (log (+ 1.0 x)) (sqrt 3))

series87.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt (pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3)))
27.0ms	(pow (pow (log (+ 1.0 x)) (sqrt 3)) (sqrt 3))
14.0ms	(pow (log (+ 1.0 x)) (sqrt 3))
3.0ms	(log (+ 1.0 x))

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5621	1790

prune308.0ms (10.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	95	5	100

Merged error: 0.1b

Counts

100 → 5

regimes171.0ms (5.7%)

Accuracy

Total 0.4b remaining (74.6%)

Threshold costs 0.4b (74.6%)

bsearch1.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	21	26

end0.0ms (0%)

sample1.8s (59.1%)

Algorithm

1×

intervals

Results

1.1s	2259×	body	1280	valid
392.0ms	1690×	body	640	valid
98.0ms	813×	body	320	valid
80.0ms	2853×	body	80	valid
27.0ms	385×	body	160	valid

Details

analyze5.0ms (0.2%)

sample67.0ms (2.2%)

simplify3.0ms (0.1%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series3.0ms (0.1%)

simplify56.0ms (1.9%)

prune47.0ms (1.6%)

localize10.0ms (0.3%)

rewrite10.0ms (0.3%)

series3.0ms (0.1%)

simplify46.0ms (1.5%)

prune73.0ms (2.4%)

localize6.0ms (0.2%)

rewrite11.0ms (0.4%)

series16.0ms (0.5%)

simplify52.0ms (1.7%)

prune145.0ms (4.9%)

localize11.0ms (0.4%)

rewrite18.0ms (0.6%)

series87.0ms (2.9%)

simplify61.0ms (2.1%)

prune308.0ms (10.3%)

regimes171.0ms (5.7%)

bsearch1.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.8s (59.1%)

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