Details

analyze650.0ms (24.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

sample23.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	61×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	67	7
1	67	7

prune7.0ms (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: 8.9b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

8.7b	(/ (* a1 a2) (* b1 b2))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (* a1 a2) (* b1 b2))

simplify50.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5102	191

prune68.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	6	25

Merged error: 0.0b

Counts

25 → 6

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (/ (* b1 b2) (* a1 a2)))
8.5b	(/ (* b1 b2) (* a1 a2))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`div-exp`
20×	`times-frac`
16×	`prod-exp`
13×	`cbrt-undiv`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-unprod`
6×	`associate-/r*` `div-inv`
5×	`rec-exp` `1-exp`
4×	`associate-/l*`
3×	`pow1`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms	(/ (* b1 b2) (* a1 a2))

series17.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
8.0ms	(/ (* b1 b2) (* a1 a2))

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4985	780
1	4985	780

prune110.0ms (4.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.8b	(/ 1 (/ (* (/ b1 a1) b2) a2))
3.9b	(/ (* (/ b1 a1) b2) a2)
5.8b	(* (/ b1 a1) b2)

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log`
46×	`times-frac`
34×	`add-sqr-sqrt`
31×	`add-cbrt-cube`
29×	`add-cube-cbrt` `*-un-lft-identity`
25×	`div-exp`
13×	`cbrt-undiv` `associate-l`
10×	`prod-exp` `associate-/r*`
7×	`div-inv`
6×	`pow1` `cbrt-unprod`
4×	`rec-exp` `1-exp` `associate-/l*`
3×	`associate-r` `add-log-exp`
2×	`frac-2neg` `associate-*l/` `clear-num` `unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 116

Calls

3 calls:

7.0ms	(/ 1 (/ (* (/ b1 a1) b2) a2))
6.0ms	(* (/ b1 a1) b2)
5.0ms	(/ (* (/ b1 a1) b2) a2)

series21.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ 1 (/ (* (/ b1 a1) b2) a2))
8.0ms	(/ (* (/ b1 a1) b2) a2)
5.0ms	(* (/ b1 a1) b2)

simplify54.0ms (2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5043	1107

prune157.0ms (5.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	123	10	133

Merged error: 0b

Counts

133 → 10

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

4.0b	(/ a2 (* (/ b1 a1) b2))
5.8b	(* (/ b1 a1) b2)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`associate-*l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 56

Calls

2 calls:

6.0ms	(* (/ b1 a1) b2)
5.0ms	(/ a2 (* (/ b1 a1) b2))

series13.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ a2 (* (/ b1 a1) b2))
5.0ms	(* (/ b1 a1) b2)

simplify51.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5144	444

prune67.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	3	4	7
Picked	1	0	1
Done	0	2	2
Total	64	8	72

Merged error: 0b

Counts

72 → 8

regimes716.0ms (27%)

Accuracy

Total 3.3b remaining (99.3%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	77
1	35	77

end0.0ms (0%)

sample505.0ms (19%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	80	valid
53.0ms	1894×	body	80	invalid

Details

analyze650.0ms (24.5%)

sample23.0ms (0.9%)

simplify3.0ms (0.1%)

prune7.0ms (0.2%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series8.0ms (0.3%)

simplify50.0ms (1.9%)

prune68.0ms (2.6%)

localize6.0ms (0.2%)

rewrite14.0ms (0.5%)

series17.0ms (0.6%)

simplify55.0ms (2.1%)

prune110.0ms (4.1%)

localize6.0ms (0.2%)

rewrite24.0ms (0.9%)

series21.0ms (0.8%)

simplify54.0ms (2%)

prune157.0ms (5.9%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series13.0ms (0.5%)

simplify51.0ms (1.9%)

prune67.0ms (2.5%)

regimes716.0ms (27%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample505.0ms (19%)

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