Details

analyze265.0ms (16.3%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	19×	body	80	invalid

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune9.0ms (0.6%)

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 → 2

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* (* y z) z)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* y z) z)

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* y z) z)

simplify36.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5162	121

prune37.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

7.4b	(* y (* z z))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* y (* z z))

series7.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* y (* z z))

simplify45.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5043	129

prune38.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.5b	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 61

Calls

4 calls:

11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series77.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
22.0ms	(cbrt y)
21.0ms	(cbrt y)
11.0ms	(* (* (cbrt y) (cbrt y)) (* z (* z (cbrt y))))

simplify40.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5197	334

prune91.0ms (5.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	72	6	78

Merged error: 0.0b

Counts

78 → 6

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(pow (* (cbrt y) z) 2)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.8b	(* (cbrt y) (pow (* (cbrt y) z) 2))

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`cbrt-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l` `prod-exp` `unswap-sqr`
5×	`add-cbrt-cube`
4×	`pow-exp` `unpow2` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-to-exp` `unpow-prod-down` `pow-pow` `pow1/3`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

6.0ms	(* (cbrt y) (pow (* (cbrt y) z) 2))
4.0ms	(pow (* (cbrt y) z) 2)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series81.0ms (5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (* (cbrt y) z) 2)
21.0ms	(cbrt y)
21.0ms	(cbrt y)
9.0ms	(* (cbrt y) (pow (* (cbrt y) z) 2))

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5017	513

prune106.0ms (6.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

regimes275.0ms (16.9%)

Accuracy

Total 0.1b remaining (68.5%)

Threshold costs 0.1b (68.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample382.0ms (23.5%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	80	valid
16.0ms	684×	body	80	invalid

Details

analyze265.0ms (16.3%)

sample15.0ms (0.9%)

simplify2.0ms (0.2%)

prune9.0ms (0.6%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series7.0ms (0.4%)

simplify36.0ms (2.2%)

prune37.0ms (2.3%)

localize5.0ms (0.3%)

rewrite6.0ms (0.3%)

series7.0ms (0.4%)

simplify45.0ms (2.8%)

prune38.0ms (2.3%)

localize9.0ms (0.6%)

rewrite16.0ms (1%)

series77.0ms (4.8%)

simplify40.0ms (2.5%)

prune91.0ms (5.6%)

localize11.0ms (0.6%)

rewrite13.0ms (0.8%)

series81.0ms (5%)

simplify42.0ms (2.6%)

prune106.0ms (6.5%)

regimes275.0ms (16.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample382.0ms (23.5%)

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