Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	18.7%	6.3%	5
75%	9.4%	15.7%	6
75%	4.7%	20.4%	7
75%	2.3%	22.7%	8
75%	1.2%	23.9%	9
75%	0.6%	24.5%	10
75%	0.3%	24.7%	11
75%	0.1%	24.9%	12
75%	0.1%	25%	13
75%	0%	25%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune4.0ms (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: 0.6b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.6b	(/ 1.0 (* x x))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify40.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5024	152

prune43.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/ (/ 1.0 x) x)

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify94.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune116.0ms (6.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))
0.5b	(cbrt (/ 1.0 x))

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))

series96.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
25.0ms	(cbrt (/ 1.0 x))
22.0ms	(cbrt (/ 1.0 x))
22.0ms	(cbrt (/ 1.0 x))

simplify60.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5204	1449

prune385.0ms (21.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	155	8	163

Merged error: 0.0b

Counts

163 → 8

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1.0 x) (cbrt x))
0.5b	(pow (cbrt x) 2)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac`
86×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
51×	`cbrt-prod`
13×	`associate-/l*`
10×	`add-exp-log`
8×	`div-inv`
7×	`add-cbrt-cube`
6×	`unpow-prod-down` `associate-/r*`
5×	`pow1`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `pow1/3` `div-exp`
2×	`pow-pow`
1×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/l/` `unpow2` `sqr-pow`

Counts

4 → 156

Calls

4 calls:

7.0ms	(/ (/ 1.0 x) (cbrt x))
2.0ms	(pow (cbrt x) 2)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series96.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (/ 1.0 x) (cbrt x))
24.0ms	(pow (cbrt x) 2)
24.0ms	(cbrt x)
20.0ms	(cbrt x)

simplify50.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5301	1644

prune296.0ms (16.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	167	9	176

Merged error: 0b

Counts

176 → 9

regimes171.0ms (9.6%)

Accuracy

Total 0.2b remaining (90.4%)

Threshold costs 0.2b (90.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms (0%)

sample216.0ms (12.2%)

Algorithm

1×

intervals

Results

134.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze6.0ms (0.3%)

sample16.0ms (0.9%)

simplify4.0ms (0.2%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify40.0ms (2.3%)

prune43.0ms (2.4%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series3.0ms (0.2%)

simplify94.0ms (5.3%)

prune116.0ms (6.6%)

localize7.0ms (0.4%)

rewrite23.0ms (1.3%)

series96.0ms (5.4%)

simplify60.0ms (3.4%)

prune385.0ms (21.7%)

localize9.0ms (0.5%)

rewrite18.0ms (1%)

series96.0ms (5.4%)

simplify50.0ms (2.8%)

prune296.0ms (16.7%)

regimes171.0ms (9.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample216.0ms (12.2%)

Profiling