Details

analyze35.0ms (1.2%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

prune4.0ms (0.2%)

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 (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (+ y 1.0))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
4×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

7.0ms

(/ (+ x y) (+ y 1.0))

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (+ x y) (+ y 1.0))

simplify44.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5052	477

prune68.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite60.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

498×	`*-un-lft-identity`
490×	`times-frac`
296×	`sqrt-prod`
224×	`add-sqr-sqrt`
222×	`add-cube-cbrt`
138×	`distribute-lft-out`
38×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
13×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 383

Calls

4 calls:

21.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
8.0ms	(/ (+ x y) (sqrt (+ y 1.0)))
3.0ms	(sqrt (+ y 1.0))
3.0ms	(sqrt (+ y 1.0))

series23.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (+ x y) (sqrt (+ y 1.0)))
6.0ms	(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
3.0ms	(sqrt (+ y 1.0))
3.0ms	(sqrt (+ y 1.0))

simplify114.0ms (4%)

Algorithm

1×	egg-herbie

Counts

395 → 395

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4953	7362
1	4953	7362

prune891.0ms (31.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	394	1	395
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	395	4	399

Merged error: 0b

Counts

399 → 4

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))
6.0b	(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
14.7b	(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))

rewrite57.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

161×	`*-un-lft-identity`
73×	`times-frac`
64×	`distribute-lft-out`
42×	`associate-l`
38×	`add-sqr-sqrt`
36×	`unpow-prod-down` `cube-prod`
33×	`add-cube-cbrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*` `sum-cubes`
8×	`add-log-exp`
6×	`flip3-+` `flip-+`
5×	`pow1`
4×	`associate-/r/` `associate-/l*`
3×	`associate-r`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `associate-+r+` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 146

Calls

3 calls:

29.0ms	(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
15.0ms	(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
6.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))

series51.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (+ x y) (+ (pow y 3) (pow 1.0 3)))
22.0ms	(* (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (+ (* y y) (- (* 1.0 1.0) (* y 1.0))))
4.0ms	(+ (* y y) (- (* 1.0 1.0) (* y 1.0)))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5031	2797

prune339.0ms (11.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Merged error: 0b

Counts

159 → 4

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite69.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

149×	`sqrt-prod`
140×	`*-un-lft-identity`
113×	`times-frac`
101×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
55×	`associate-r`
34×	`distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube`
18×	`sqrt-div`
14×	`associate-/r*`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`associate-/l*`
7×	`pow1` `associate-l` `associate-/l/`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`frac-times` `sqrt-undiv` `associate-*l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `sqrt-unprod` `associate-*r/` `clear-num`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `*-commutative`

Counts

4 → 226

Calls

4 calls:

25.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))))
20.0ms	(/ (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0)))
9.0ms	(/ (sqrt (+ x y)) (sqrt (+ y 1.0)))
5.0ms	(sqrt (+ x y))

series47.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (sqrt (+ x y)) (sqrt (+ y 1.0)))
15.0ms	(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))))
8.0ms	(/ (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (sqrt (+ y 1.0)))) (sqrt (+ y 1.0)))
6.0ms	(sqrt (+ x y))

simplify59.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4982	3184
1	4982	3184

prune435.0ms (15.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	238	4	242

Merged error: 0b

Counts

242 → 4

regimes115.0ms (4%)

Accuracy

Total 0.0b remaining (52.4%)

Threshold costs 0.0b (52.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample296.0ms (10.4%)

Algorithm

1×

intervals

Results

171.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

Details

analyze35.0ms (1.2%)

sample16.0ms (0.6%)

simplify3.0ms (0.1%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite8.0ms (0.3%)

series6.0ms (0.2%)

simplify44.0ms (1.6%)

prune68.0ms (2.4%)

localize7.0ms (0.2%)

rewrite60.0ms (2.1%)

series23.0ms (0.8%)

simplify114.0ms (4%)

prune891.0ms (31.3%)

localize14.0ms (0.5%)

rewrite57.0ms (2%)

series51.0ms (1.8%)

simplify72.0ms (2.5%)

prune339.0ms (11.9%)

localize10.0ms (0.4%)

rewrite69.0ms (2.4%)

series47.0ms (1.7%)

simplify59.0ms (2.1%)

prune435.0ms (15.3%)

regimes115.0ms (4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample296.0ms (10.4%)

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