Details

analyze296.0ms (14.5%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample21.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	239×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	18×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms (0.4%)

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: 0.1b

Counts

2 → 2

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d3 (+ 3.0 d2)))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

7.0ms

(* d1 (+ d3 (+ 3.0 d2)))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* d1 (+ d3 (+ 3.0 d2)))

simplify54.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	218
1	4963	218

prune56.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 3.0 d2))
0.0b	(+ (* d1 d3) (* d1 (+ 3.0 d2)))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

5.0ms	(* d1 (+ 3.0 d2))
4.0ms	(+ (* d1 d3) (* d1 (+ 3.0 d2)))

series13.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* d1 d3) (* d1 (+ 3.0 d2)))
5.0ms	(* d1 (+ 3.0 d2))

simplify41.0ms (2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5131	325

prune68.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
0.6b	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
0.6b	(cbrt (* d1 (+ d3 (+ 3.0 d2))))

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
6.0ms	(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
6.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
6.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))

series188.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (* d1 (+ d3 (+ 3.0 d2)))) (cbrt (* d1 (+ d3 (+ 3.0 d2)))))
43.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
41.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))
41.0ms	(cbrt (* d1 (+ d3 (+ 3.0 d2))))

simplify52.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	1178
1	4967	1178

prune216.0ms (10.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d3 (+ 3.0 d2)))
0.0b	(sqrt (+ d3 (+ 3.0 d2)))
0.2b	(* d1 (sqrt (+ d3 (+ 3.0 d2))))
0.2b	(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

rewrite39.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))
9.0ms	(* d1 (sqrt (+ d3 (+ 3.0 d2))))
5.0ms	(sqrt (+ d3 (+ 3.0 d2)))
5.0ms	(sqrt (+ d3 (+ 3.0 d2)))

series35.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(* d1 (sqrt (+ d3 (+ 3.0 d2))))
7.0ms	(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))
7.0ms	(sqrt (+ d3 (+ 3.0 d2)))
7.0ms	(sqrt (+ d3 (+ 3.0 d2)))

simplify37.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5044	1143

prune190.0ms (9.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0.0b

Counts

107 → 4

regimes154.0ms (7.5%)

Accuracy

Total 0.0b remaining (74.6%)

Threshold costs 0.0b (74.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample496.0ms (24.2%)

Algorithm

1×

intervals

Results

245.0ms	7472×	body	80	valid
25.0ms	204×	body	640	valid
21.0ms	688×	body	80	invalid
13.0ms	149×	body	320	valid
13.0ms	90×	body	1280	valid
5.0ms	85×	body	160	valid

Details

analyze296.0ms (14.5%)

sample21.0ms (1%)

simplify4.0ms (0.2%)

prune9.0ms (0.4%)

localize5.0ms (0.2%)

rewrite8.0ms (0.4%)

series8.0ms (0.4%)

simplify54.0ms (2.6%)

prune56.0ms (2.7%)

localize6.0ms (0.3%)

rewrite10.0ms (0.5%)

series13.0ms (0.6%)

simplify41.0ms (2%)

prune68.0ms (3.3%)

localize9.0ms (0.4%)

rewrite26.0ms (1.3%)

series188.0ms (9.2%)

simplify52.0ms (2.5%)

prune216.0ms (10.5%)

localize7.0ms (0.4%)

rewrite39.0ms (1.9%)

series35.0ms (1.7%)

simplify37.0ms (1.8%)

prune190.0ms (9.3%)

regimes154.0ms (7.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample496.0ms (24.2%)

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