Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	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

sample10.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify39.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune7.0ms (0.6%)

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) (- 1.0 x))

rewrite9.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x 1.0) (- 1.0 x))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify42.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5434	556

prune76.0ms (6.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize5.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite20.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

158×	`times-frac`
140×	`*-un-lft-identity`
100×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
26×	`associate-/r*`
20×	`distribute-lft-out`
16×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
9×	`associate-/r/`
7×	`div-exp`
6×	`add-cbrt-cube`
5×	`div-inv`
4×	`flip3-+` `flip-+`
3×	`cbrt-undiv` `associate-/l*`
2×	`pow1` `rec-exp` `1-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow` `add-log-exp`

Counts

1 → 128

Calls

1 calls:

10.0ms

(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify60.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5453	1913

prune219.0ms (18.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Merged error: 0b

Counts

134 → 3

localize8.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(cbrt (+ x 1.0))
0.3b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite21.0ms (1.8%)

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:

9.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series25.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))
6.0ms	(cbrt (+ x 1.0))

simplify65.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5222	1033

prune233.0ms (20%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes50.0ms (4.3%)

Accuracy

Total 0.0b remaining (28.1%)

Threshold costs 0.0b (28.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample261.0ms (22.4%)

Algorithm

1×

intervals

Results

166.0ms

8000×

body

valid

Details

analyze3.0ms (0.2%)

sample10.0ms (0.9%)

simplify39.0ms (3.3%)

prune7.0ms (0.6%)

localize4.0ms (0.4%)

rewrite9.0ms (0.7%)

series3.0ms (0.2%)

simplify42.0ms (3.6%)

prune76.0ms (6.5%)

localize5.0ms (0.5%)

rewrite20.0ms (1.7%)

series3.0ms (0.3%)

simplify60.0ms (5.1%)

prune219.0ms (18.8%)

localize8.0ms (0.7%)

rewrite21.0ms (1.8%)

series25.0ms (2.2%)

simplify65.0ms (5.6%)

prune233.0ms (20%)

regimes50.0ms (4.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample261.0ms (22.4%)

Profiling