Details

analyze7.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify650.0ms (32.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune7.0ms (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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) 10.0)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

7.0ms

(/ (+ x y) 10.0)

series13.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(/ (+ x y) 10.0)

simplify56.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4976	303
1	4976	303

prune73.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/ 10.0 (+ x y))
0.2b	(/ 1 (/ 10.0 (+ x y)))

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

8.0ms	(/ 1 (/ 10.0 (+ x y)))
5.0ms	(/ 10.0 (+ x y))

series11.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ 10.0 (+ x y))
5.0ms	(/ 1 (/ 10.0 (+ x y)))

simplify70.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4958	1421
1	4958	1421

prune188.0ms (9.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(/ 1 (* 10.0 (/ 1 (+ x y))))
0.3b	(* 10.0 (/ 1 (+ x y)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log`
38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
29×	`times-frac`
23×	`add-cube-cbrt`
20×	`div-exp`
19×	`add-cbrt-cube`
18×	`associate-r`
16×	`prod-exp`
10×	`rec-exp` `1-exp`
9×	`pow1`
7×	`distribute-lft-out`
6×	`cbrt-undiv` `associate-/r/` `associate-/l*`
5×	`associate-/r*`
4×	`cbrt-unprod`
3×	`pow-flip` `associate-l` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `associate-*r/` `pow-prod-down` `clear-num` `un-div-inv` `flip-+` `inv-pow`
1×	`*-commutative`

Counts

3 → 118

Calls

3 calls:

10.0ms	(* 10.0 (/ 1 (+ x y)))
8.0ms	(/ 1 (* 10.0 (/ 1 (+ x y))))
5.0ms	(/ 1 (+ x y))

series17.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ 1 (* 10.0 (/ 1 (+ x y))))
5.0ms	(* 10.0 (/ 1 (+ x y)))
4.0ms	(/ 1 (+ x y))

simplify64.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4877	811
1	4877	811

prune158.0ms (8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) 10.0)
2.6b	(exp (log (/ (+ x y) 10.0)))

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod` `exp-sum`
7×	`distribute-lft-out`
4×	`add-exp-log` `exp-prod` `add-cbrt-cube` `associate-/l*`
3×	`pow1` `associate-/r*`
2×	`div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `log-pow` `flip-+` `rem-exp-log`

Counts

2 → 62

Calls

2 calls:

6.0ms	(exp (log (/ (+ x y) 10.0)))
5.0ms	(/ (+ x y) 10.0)

series9.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (log (/ (+ x y) 10.0)))
4.0ms	(/ (+ x y) 10.0)

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5043	554

prune103.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

regimes148.0ms (7.4%)

Accuracy

Total 0.0b remaining (28.1%)

Threshold costs 0.0b (28.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample259.0ms (13%)

Algorithm

1×

intervals

Results

147.0ms

8000×

body

valid

Details

analyze7.0ms (0.4%)

sample14.0ms (0.7%)

simplify650.0ms (32.6%)

prune7.0ms (0.3%)

localize6.0ms (0.3%)

rewrite10.0ms (0.5%)

series13.0ms (0.6%)

simplify56.0ms (2.8%)

prune73.0ms (3.7%)

localize5.0ms (0.3%)

rewrite22.0ms (1.1%)

series11.0ms (0.5%)

simplify70.0ms (3.5%)

prune188.0ms (9.5%)

localize7.0ms (0.3%)

rewrite27.0ms (1.3%)

series17.0ms (0.8%)

simplify64.0ms (3.2%)

prune158.0ms (8%)

localize7.0ms (0.4%)

rewrite15.0ms (0.8%)

series9.0ms (0.4%)

simplify43.0ms (2.2%)

prune103.0ms (5.2%)

regimes148.0ms (7.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample259.0ms (13%)

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