Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	nan

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

prune4.0ms (0.3%)

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: 0.2b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

4.0ms

(* x (log x))

series16.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

16.0ms

(* x (log x))

simplify53.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4842	169
1	4842	169

prune46.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.0b

Counts

29 → 6

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(* x (* (log (cbrt x)) 2))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* x (* (log (cbrt x)) 2))
5.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series142.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (* (log (cbrt x)) 2))
47.0ms	(* x (log (cbrt x)))
24.0ms	(cbrt x)
23.0ms	(cbrt x)

simplify65.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4921	520
1	4921	520

prune117.0ms (8.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize23.0ms (1.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow x 2/3))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.9b	(pow x 2/3)

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(pow x 2/3)
2.0ms	(cbrt (pow x 2/3))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series84.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow x 2/3)
21.0ms	(cbrt x)
21.0ms	(cbrt (pow x 2/3))
21.0ms	(cbrt x)

simplify42.0ms (3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5523	266

prune141.0ms (9.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	67	7	74

Merged error: 0b

Counts

74 → 7

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt x)

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

9.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
1.0ms	(cbrt x)

series68.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
16.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
16.0ms	(cbrt (sqrt x))
15.0ms	(cbrt (sqrt x))

simplify43.0ms (3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5214	685

prune129.0ms (9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0b

Counts

114 → 7

regimes86.0ms (6%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end0.0ms (0%)

sample282.0ms (19.8%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	80	valid
0.0ms	3×	body	80	nan

Details

analyze3.0ms (0.2%)

sample11.0ms (0.8%)

simplify2.0ms (0.2%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite5.0ms (0.3%)

series16.0ms (1.1%)

simplify53.0ms (3.7%)

prune46.0ms (3.2%)

localize9.0ms (0.6%)

rewrite14.0ms (1%)

series142.0ms (9.9%)

simplify65.0ms (4.5%)

prune117.0ms (8.2%)

localize23.0ms (1.6%)

rewrite7.0ms (0.5%)

series84.0ms (5.9%)

simplify42.0ms (3%)

prune141.0ms (9.9%)

localize14.0ms (1%)

rewrite17.0ms (1.2%)

series68.0ms (4.7%)

simplify43.0ms (3%)

prune129.0ms (9%)

regimes86.0ms (6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample282.0ms (19.8%)

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