Details

analyze63.0ms (6.6%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	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

sample18.0ms (1.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

prune7.0ms (0.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b	(/ x (+ y x))

rewrite9.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

8.0ms

(/ x (+ y x))

series9.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ x (+ y x))

simplify50.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5057	287

prune43.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

9.0ms	(* x (/ 1 (+ x y)))
5.0ms	(/ 1 (+ x y))

series9.0ms (1%)

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4897	564
1	4897	564

prune89.0ms (9.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize6.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(exp (/ x (+ x y)))
0.0b	(/ x (+ x y))
2.2b	(log (exp (/ x (+ x y))))

rewrite19.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity`
36×	`exp-prod` `times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`log-pow`
10×	`distribute-lft-out`
6×	`associate-/r/`
5×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`log-prod` `flip3-+` `flip-+` `div-inv` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

3 → 89

Calls

3 calls:

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

series29.0ms (3%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(exp (/ x (+ x y)))
6.0ms	(/ x (+ x y))
5.0ms	(log (exp (/ x (+ x y))))

simplify49.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5443	692

prune105.0ms (11%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes98.0ms (10.2%)

Accuracy

Total 0.0b remaining (47.2%)

Threshold costs 0.0b (47.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

end0.0ms (0%)

sample274.0ms (28.5%)

Algorithm

1×

intervals

Results

150.0ms

8000×

body

valid

Details

analyze63.0ms (6.6%)

sample18.0ms (1.9%)

simplify4.0ms (0.4%)

prune7.0ms (0.8%)

localize5.0ms (0.6%)

rewrite9.0ms (1%)

series9.0ms (0.9%)

simplify50.0ms (5.2%)

prune43.0ms (4.5%)

localize4.0ms (0.5%)

rewrite16.0ms (1.7%)

series9.0ms (1%)

simplify50.0ms (5.2%)

prune89.0ms (9.3%)

localize6.0ms (0.7%)

rewrite19.0ms (2%)

series29.0ms (3%)

simplify49.0ms (5.1%)

prune105.0ms (11%)

regimes98.0ms (10.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample274.0ms (28.5%)

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