Details

analyze65.0ms (6.3%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample13.0ms (1.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify13.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune4.0ms (0.4%)

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) y)

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

6.0ms

(* (+ x 1.0) y)

series4.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (+ x 1.0) y)

simplify41.0ms (4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5096	155

prune41.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize7.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
0.1b	(* y (sqrt (+ x 1.0)))
0.1b	(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))

rewrite26.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-r/` `associate-l*`
9×	`flip3-+` `flip-+`
8×	`associate-r`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))
6.0ms	(* y (sqrt (+ x 1.0)))
3.0ms	(sqrt (+ x 1.0))
3.0ms	(sqrt (+ x 1.0))

series19.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (sqrt (+ x 1.0)))
5.0ms	(* (sqrt (+ x 1.0)) (* y (sqrt (+ x 1.0))))
3.0ms	(sqrt (+ x 1.0))
3.0ms	(sqrt (+ x 1.0))

simplify37.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5054	959

prune186.0ms (18%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize9.0ms (0.9%)

Local error

Found 2 expressions with local error:

4.1b	(* y (- (* x x) (* 1.0 1.0)))
8.6b	(/ (* y (- (* x x) (* 1.0 1.0))) (- x 1.0))

rewrite17.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-/r*`
4×	`pow1` `associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

10.0ms	(/ (* y (- (* x x) (* 1.0 1.0))) (- x 1.0))
6.0ms	(* y (- (* x x) (* 1.0 1.0)))

series23.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ (* y (- (* x x) (* 1.0 1.0))) (- x 1.0))
10.0ms	(* y (- (* x x) (* 1.0 1.0)))

simplify44.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	600
1	4991	600

prune81.0ms (7.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes102.0ms (9.9%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample285.0ms (27.7%)

Algorithm

1×

intervals

Results

167.0ms	7996×	body	80	valid
1.0ms	74×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze65.0ms (6.3%)

sample13.0ms (1.3%)

simplify13.0ms (1.2%)

prune4.0ms (0.4%)

localize4.0ms (0.4%)

rewrite6.0ms (0.6%)

series4.0ms (0.4%)

simplify41.0ms (4%)

prune41.0ms (4%)

localize7.0ms (0.7%)

rewrite26.0ms (2.5%)

series19.0ms (1.9%)

simplify37.0ms (3.6%)

prune186.0ms (18%)

localize9.0ms (0.9%)

rewrite17.0ms (1.7%)

series23.0ms (2.2%)

simplify44.0ms (4.3%)

prune81.0ms (7.8%)

regimes102.0ms (9.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample285.0ms (27.7%)

Profiling