Details

analyze39.0ms (1.5%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	238×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

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: 0.1b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

9.0ms

(+ x (/ (- x y) 2.0))

series5.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify43.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	157
1	4988	157

prune35.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite50.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

23.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series181.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
45.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify54.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5174	1558

prune265.0ms (10.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize17.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

rewrite40.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`cbrt-prod`
21×	`*-un-lft-identity`
14×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series186.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
48.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
42.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify64.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	1207
1	4959	1207

prune367.0ms (14.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

rewrite39.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-prod`
22×	`*-un-lft-identity`
21×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series193.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
51.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
49.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5119	1288

prune369.0ms (14.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

regimes185.0ms (7.1%)

Accuracy

Total 0.1b remaining (55%)

Threshold costs 0.1b (55%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample365.0ms (14%)

Algorithm

1×

intervals

Results

172.0ms	7356×	body	80	valid
21.0ms	217×	body	1280	valid
16.0ms	165×	body	640	valid
12.0ms	106×	body	2560	valid
6.0ms	101×	body	320	valid
2.0ms	55×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze39.0ms (1.5%)

sample14.0ms (0.5%)

simplify17.0ms (0.6%)

prune5.0ms (0.2%)

localize5.0ms (0.2%)

rewrite9.0ms (0.3%)

series5.0ms (0.2%)

simplify43.0ms (1.6%)

prune35.0ms (1.4%)

localize9.0ms (0.3%)

rewrite50.0ms (1.9%)

series181.0ms (6.9%)

simplify54.0ms (2.1%)

prune265.0ms (10.1%)

localize17.0ms (0.7%)

rewrite40.0ms (1.5%)

series186.0ms (7.1%)

simplify64.0ms (2.5%)

prune367.0ms (14.1%)

localize17.0ms (0.6%)

rewrite39.0ms (1.5%)

series193.0ms (7.4%)

simplify37.0ms (1.4%)

prune369.0ms (14.1%)

regimes185.0ms (7.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample365.0ms (14%)

Profiling