Details

analyze40.0ms (3.9%)

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

sample12.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify50.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

prune5.0ms (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 y) (- 1.0 y))

rewrite9.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`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-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

7.0ms

(/ (- x y) (- 1.0 y))

series6.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (- x y) (- 1.0 y))

simplify40.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5235	675

prune79.0ms (7.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
22×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r/`
2×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

2 → 74

Calls

2 calls:

5.0ms	(/ x (- 1.0 y))
5.0ms	(/ y (- 1.0 y))

series8.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ x (- 1.0 y))
2.0ms	(/ y (- 1.0 y))

simplify46.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5848	752

prune108.0ms (10.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	80	2	82

Merged error: 0b

Counts

82 → 2

localize11.0ms (1.1%)

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
14.3b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite26.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 98

Calls

2 calls:

14.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
8.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series25.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
12.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify50.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5962	1565

prune142.0ms (13.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Merged error: 0b

Counts

106 → 2

regimes64.0ms (6.1%)

Accuracy

Total 0.0b remaining (64.3%)

Threshold costs 0.0b (64.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms (0%)

sample302.0ms (28.9%)

Algorithm

1×

intervals

Results

178.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze40.0ms (3.9%)

sample12.0ms (1.1%)

simplify50.0ms (4.8%)

prune5.0ms (0.4%)

localize4.0ms (0.4%)

rewrite9.0ms (0.9%)

series6.0ms (0.6%)

simplify40.0ms (3.9%)

prune79.0ms (7.6%)

localize6.0ms (0.5%)

rewrite12.0ms (1.2%)

series8.0ms (0.8%)

simplify46.0ms (4.4%)

prune108.0ms (10.3%)

localize11.0ms (1.1%)

rewrite26.0ms (2.4%)

series25.0ms (2.4%)

simplify50.0ms (4.7%)

prune142.0ms (13.6%)

regimes64.0ms (6.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample302.0ms (28.9%)

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