Details

analyze42.0ms (3.6%)

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
18.7%	81.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample17.0ms (1.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

prune8.0ms (0.6%)

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 → 2

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(/ (* x 100.0) (+ x y))

rewrite6.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (* x 100.0) (+ x y))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (* x 100.0) (+ x y))

simplify49.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5437	218

prune54.0ms (4.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	23	5	28
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	6	30

Merged error: 0b

Counts

30 → 6

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ 100.0 (+ x y))
0.2b	(* x (/ 100.0 (+ x y)))

rewrite16.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

9.0ms	(* x (/ 100.0 (+ x y)))
5.0ms	(/ 100.0 (+ x y))

series12.0ms (1%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (/ 100.0 (+ x y)))
6.0ms	(/ 100.0 (+ x y))

simplify48.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5164	603

prune107.0ms (9.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	76	6	82

Merged error: 0b

Counts

82 → 6

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) 100.0)
0.2b	(/ x (/ (+ x y) 100.0))

rewrite19.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

2 → 115

Calls

2 calls:

9.0ms	(/ x (/ (+ x y) 100.0))
5.0ms	(/ (+ x y) 100.0)

series10.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ x (/ (+ x y) 100.0))
4.0ms	(/ (+ x y) 100.0)

simplify46.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5152	1410

prune162.0ms (13.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* (/ x (+ x y)) 100.0)

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 70

Calls

2 calls:

8.0ms	(* (/ x (+ x y)) 100.0)
5.0ms	(/ x (+ x y))

series11.0ms (1%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (/ x (+ x y)) 100.0)
5.0ms	(/ x (+ x y))

simplify49.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5731	604

prune82.0ms (7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes76.0ms (6.5%)

Accuracy

Total 0.1b remaining (88.8%)

Threshold costs 0.1b (88.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample310.0ms (26.5%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

valid

Details

analyze42.0ms (3.6%)

sample17.0ms (1.5%)

simplify3.0ms (0.3%)

prune8.0ms (0.6%)

localize5.0ms (0.4%)

rewrite6.0ms (0.5%)

series6.0ms (0.5%)

simplify49.0ms (4.2%)

prune54.0ms (4.6%)

localize5.0ms (0.4%)

rewrite16.0ms (1.4%)

series12.0ms (1%)

simplify48.0ms (4.1%)

prune107.0ms (9.2%)

localize5.0ms (0.4%)

rewrite19.0ms (1.6%)

series10.0ms (0.9%)

simplify46.0ms (3.9%)

prune162.0ms (13.8%)

localize5.0ms (0.4%)

rewrite15.0ms (1.3%)

series11.0ms (1%)

simplify49.0ms (4.2%)

prune82.0ms (7%)

regimes76.0ms (6.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample310.0ms (26.5%)

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