Details

analyze303.0ms (15.5%)

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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	80	valid
1.0ms	23×	body	80	invalid
0.0ms	1×	body	640	valid

simplify30.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	673	7
1	673	7

prune6.0ms (0.3%)

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

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

simplify41.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5170	379

prune57.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0.0b

Counts

35 → 3

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite36.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`sqrt-div`
32×	`frac-times`
25×	`add-sqr-sqrt`
23×	`flip3--` `flip--`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`distribute-lft-out`

Counts

4 → 116

Calls

4 calls:

16.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
9.0ms	(* (+ x y) (sqrt (- 1.0 z)))
3.0ms	(sqrt (- 1.0 z))
3.0ms	(sqrt (- 1.0 z))

series27.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (+ x y) (sqrt (- 1.0 z)))
7.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))
3.0ms	(sqrt (- 1.0 z))
3.0ms	(sqrt (- 1.0 z))

simplify52.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5048	1796

prune239.0ms (12.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	128	3	131

Merged error: 0.0b

Counts

131 → 3

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* z z) (* 1.0 z))
1.0b	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
16.8b	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))

rewrite48.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

21.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))
19.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
4.0ms	(+ (* z z) (* 1.0 z))

series70.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* (+ x y) (- (pow 1.0 3) (pow z 3))) (+ (* 1.0 1.0) (+ (* z z) (* 1.0 z))))
20.0ms	(* (+ x y) (- (pow 1.0 3) (pow z 3)))
5.0ms	(+ (* z z) (* 1.0 z))

simplify34.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5112	1588

prune330.0ms (16.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

regimes262.0ms (13.4%)

Accuracy

Total 0.0b remaining (63.2%)

Threshold costs 0.0b (63.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms (0%)

sample359.0ms (18.4%)

Algorithm

1×

intervals

Results

179.0ms	7997×	body	80	valid
12.0ms	590×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze303.0ms (15.5%)

sample15.0ms (0.8%)

simplify30.0ms (1.5%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite10.0ms (0.5%)

series8.0ms (0.4%)

simplify41.0ms (2.1%)

prune57.0ms (2.9%)

localize7.0ms (0.4%)

rewrite36.0ms (1.9%)

series27.0ms (1.4%)

simplify52.0ms (2.6%)

prune239.0ms (12.2%)

localize15.0ms (0.7%)

rewrite48.0ms (2.5%)

series70.0ms (3.6%)

simplify34.0ms (1.7%)

prune330.0ms (16.9%)

regimes262.0ms (13.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample359.0ms (18.4%)

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