Details

analyze51.0ms (3.1%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

simplify170.0ms (10.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	2641	11
1	2641	11

prune7.0ms (0.5%)

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

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 54

Calls

2 calls:

6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(/ (* x y) 2.0)

series15.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
3.0ms	(/ (* x y) 2.0)

simplify44.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4958	666
1	4958	666

prune89.0ms (5.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x 2.0) (/ 1.0 y))
0.1b	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))

rewrite27.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r/` `associate-/l*`
2×	`pow1` `flip3-+` `frac-add` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 52

Calls

2 calls:

13.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))
12.0ms	(+ (/ x 2.0) (/ 1.0 y))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ -1 (+ (/ x 2.0) (/ 1.0 y)))
5.0ms	(+ (/ x 2.0) (/ 1.0 y))

simplify37.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5021	732

prune86.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize15.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.1b	(/ (cbrt y) (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0))))))
8.4b	(cbrt (+ 1.0 (* y (/ x 2.0))))
8.4b	(cbrt (+ 1.0 (* y (/ x 2.0))))
8.4b	(cbrt (+ 1.0 (* y (/ x 2.0))))

rewrite22.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `flip3-+` `flip-+`
8×	`associate-/r/`
6×	`times-frac` `associate-/l*`
5×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 74

Calls

4 calls:

10.0ms	(/ (cbrt y) (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0))))))
3.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))
3.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))
3.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))

series206.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (cbrt y) (* (cbrt (+ 1.0 (* y (/ x 2.0)))) (cbrt (+ 1.0 (* y (/ x 2.0))))))
42.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))
40.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))
40.0ms	(cbrt (+ 1.0 (* y (/ x 2.0))))

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5060	1855

prune262.0ms (16%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes114.0ms (7%)

Accuracy

Total 0.0b remaining (88.5%)

Threshold costs 0.0b (88.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	11
1	28	11

end0.0ms (0%)

sample388.0ms (23.8%)

Algorithm

1×

intervals

Results

261.0ms	7996×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	1280	valid

Details

analyze51.0ms (3.1%)

sample15.0ms (0.9%)

simplify170.0ms (10.4%)

prune7.0ms (0.5%)

localize10.0ms (0.6%)

rewrite12.0ms (0.7%)

series15.0ms (0.9%)

simplify44.0ms (2.7%)

prune89.0ms (5.4%)

localize7.0ms (0.4%)

rewrite27.0ms (1.6%)

series13.0ms (0.8%)

simplify37.0ms (2.3%)

prune86.0ms (5.3%)

localize15.0ms (0.9%)

rewrite22.0ms (1.4%)

series206.0ms (12.6%)

simplify42.0ms (2.6%)

prune262.0ms (16%)

regimes114.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample388.0ms (23.8%)

Profiling