Details

analyze1.1s (25.4%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample56.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	193×	body	80	valid
9.0ms	29×	body	640	valid
7.0ms	13×	body	1280	valid
3.0ms	7×	body	1280	invalid
3.0ms	9×	body	640	invalid
3.0ms	13×	body	320	valid
1.0ms	28×	body	80	nan
1.0ms	8×	body	160	valid
1.0ms	5×	body	160	invalid
0.0ms	2×	body	320	invalid
0.0ms	6×	body	80	invalid

simplify37.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 7.2b

Counts

2 → 1

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ y (+ y z))
7.8b	(pow (/ y (+ y z)) y)

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

19.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
6.0ms	(pow (/ y (+ y z)) y)
5.0ms	(/ y (+ y z))

series43.0ms (1%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(pow (/ y (+ y z)) y)
19.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5094	1101

prune132.0ms (3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	82	5	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	5	88

Merged error: 0.3b

Counts

88 → 5

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
1.2b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
3.2b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`cbrt-prod`
61×	`unpow-prod-down`
55×	`*-un-lft-identity`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
22×	`add-exp-log`
14×	`cbrt-div`
13×	`pow1`
10×	`associate-/r/`
7×	`flip3-+` `pow1/3` `pow-exp` `flip-+`
6×	`pow-unpow` `swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
5×	`div-exp` `prod-exp`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 145

Calls

4 calls:

14.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)
10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)

series108.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y z)) (cbrt (+ y z)))) y)
25.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
24.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4940	2507
1	4940	2507

prune249.0ms (5.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	159	3	162

Merged error: 0.0b

Counts

162 → 3

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.2b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
3.4b	(log (/ (cbrt y) (cbrt (+ y z))))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
7.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series94.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
23.0ms	(log (/ (cbrt y) (cbrt (+ y z))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4752	2364
1	4752	2364

prune260.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	156	3	159

Merged error: 0.0b

Counts

159 → 3

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
23.6b	(pow (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y z))) y)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`cbrt-prod`
19×	`add-exp-log`
17×	`pow1`
15×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1/3`
7×	`prod-exp`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-prod-down` `pow-exp`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow`
2×	`div-exp` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

12.0ms	(pow (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y z))) y)
5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series88.0ms (2%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
22.0ms	(pow (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y z))) y)
21.0ms	(cbrt y)
20.0ms	(cbrt y)

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5032	653

prune122.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes129.0ms (3%)

Accuracy

Total 0.8b remaining (63.9%)

Threshold costs 0.8b (63.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	27
1	21	27

end0.0ms (0%)

sample1.5s (35.4%)

Algorithm

1×

intervals

Results

370.0ms	6019×	body	80	valid
335.0ms	661×	body	1280	valid
211.0ms	671×	body	640	valid
87.0ms	415×	body	320	valid
77.0ms	246×	body	640	invalid
52.0ms	114×	body	1280	invalid
47.0ms	1059×	body	80	nan
36.0ms	178×	body	320	invalid
31.0ms	234×	body	160	valid
19.0ms	331×	body	80	invalid
13.0ms	107×	body	160	invalid

Details

analyze1.1s (25.4%)

sample56.0ms (1.3%)

simplify37.0ms (0.9%)

prune7.0ms (0.2%)

localize8.0ms (0.2%)

rewrite32.0ms (0.7%)

series43.0ms (1%)

simplify27.0ms (0.6%)

prune132.0ms (3%)

localize17.0ms (0.4%)

rewrite36.0ms (0.8%)

series108.0ms (2.5%)

simplify66.0ms (1.5%)

prune249.0ms (5.7%)

localize19.0ms (0.4%)

rewrite26.0ms (0.6%)

series94.0ms (2.2%)

simplify69.0ms (1.6%)

prune260.0ms (6%)

localize14.0ms (0.3%)

rewrite22.0ms (0.5%)

series88.0ms (2%)

simplify43.0ms (1%)

prune122.0ms (2.8%)

regimes129.0ms (3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.5s (35.4%)

Profiling