Details

analyze2.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample9.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

valid

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	136	5
1	136	5

prune7.0ms (0.7%)

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 → 1

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1.0 3.0))

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- x (/ 1.0 3.0))

series2.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

2.0ms

(- x (/ 1.0 3.0))

simplify46.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4960	142
1	4960	142

prune28.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize7.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- x (/ 1.0 3.0)))
0.3b	(cbrt (- x (/ 1.0 3.0)))
0.3b	(cbrt (- x (/ 1.0 3.0)))
0.8b	(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite39.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
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 → 107

Calls

4 calls:

18.0ms	(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
6.0ms	(cbrt (- x (/ 1.0 3.0)))
6.0ms	(cbrt (- x (/ 1.0 3.0)))
6.0ms	(cbrt (- x (/ 1.0 3.0)))

series32.0ms (3%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))
8.0ms	(cbrt (- x (/ 1.0 3.0)))
7.0ms	(cbrt (- x (/ 1.0 3.0)))
7.0ms	(cbrt (- x (/ 1.0 3.0)))

simplify38.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5035	1716

prune383.0ms (36.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize6.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(exp (- x (/ 1.0 3.0)))
0.0b	(- x (/ 1.0 3.0))
1.2b	(log (exp (- x (/ 1.0 3.0))))

rewrite20.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
12×	`exp-prod` `*-un-lft-identity`
8×	`add-log-exp`
7×	`log-pow`
6×	`add-cube-cbrt` `difference-of-squares`
4×	`pow1` `log-prod`
3×	`add-exp-log` `sub-neg` `times-frac` `add-cbrt-cube` `distribute-lft-out--`
2×	`exp-diff` `diff-log` `exp-sum` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 51

Calls

3 calls:

7.0ms	(log (exp (- x (/ 1.0 3.0))))
7.0ms	(exp (- x (/ 1.0 3.0)))
6.0ms	(- x (/ 1.0 3.0))

series7.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

2.0ms	(log (exp (- x (/ 1.0 3.0))))
2.0ms	(exp (- x (/ 1.0 3.0)))
2.0ms	(- x (/ 1.0 3.0))

simplify41.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4918	422
1	4918	422

prune91.0ms (8.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0.0b

Counts

63 → 3

regimes53.0ms (5.1%)

Accuracy

Total 0.0b remaining (37.4%)

Threshold costs 0.0b (37.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	5
1	22	5

end0.0ms (0%)

sample214.0ms (20.5%)

Algorithm

1×

intervals

Results

131.0ms

8000×

body

valid

Details

analyze2.0ms (0.2%)

sample9.0ms (0.8%)

simplify8.0ms (0.7%)

prune7.0ms (0.7%)

localize4.0ms (0.4%)

rewrite6.0ms (0.6%)

series2.0ms (0.2%)

simplify46.0ms (4.4%)

prune28.0ms (2.7%)

localize7.0ms (0.7%)

rewrite39.0ms (3.7%)

series32.0ms (3%)

simplify38.0ms (3.7%)

prune383.0ms (36.7%)

localize6.0ms (0.6%)

rewrite20.0ms (2%)

series7.0ms (0.6%)

simplify41.0ms (3.9%)

prune91.0ms (8.7%)

regimes53.0ms (5.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample214.0ms (20.5%)

Profiling