Details

analyze819.0ms (23.6%)

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample35.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	80	valid
5.0ms	105×	body	80	invalid

simplify71.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5189	11

prune11.0ms (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: 0.2b

Counts

2 → 2

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- (/ t y) y) (* z 3.0)))
3.4b	(/ (- (/ t y) y) (* z 3.0))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`add-cube-cbrt` `add-log-exp` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `div-sub` `div-exp` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 43

Calls

2 calls:

10.0ms	(+ x (/ (- (/ t y) y) (* z 3.0)))
9.0ms	(/ (- (/ t y) y) (* z 3.0))

series33.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ x (/ (- (/ t y) y) (* z 3.0)))
12.0ms	(/ (- (/ t y) y) (* z 3.0))

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5535	606

prune104.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	41	8	49
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	42	9	51

Merged error: 0.0b

Counts

51 → 9

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- (/ t y) y) z) 0.3333333333333333))
0.2b	(* (/ (- (/ t y) y) z) 0.3333333333333333)
3.0b	(/ (- (/ t y) y) z)

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
44×	`times-frac`
39×	`*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`associate-l`
14×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
3×	`associate-r` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

11.0ms	(* (/ (- (/ t y) y) z) 0.3333333333333333)
9.0ms	(/ (- (/ t y) y) z)
4.0ms	(+ x (* (/ (- (/ t y) y) z) 0.3333333333333333))

series42.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ x (* (/ (- (/ t y) y) z) 0.3333333333333333))
11.0ms	(* (/ (- (/ t y) y) z) 0.3333333333333333)
9.0ms	(/ (- (/ t y) y) z)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4997	1224
1	4997	1224

prune147.0ms (4.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0.0b

Counts

112 → 8

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- (/ t y) y) z) 3.0))
0.3b	(/ (/ (- (/ t y) y) z) 3.0)
3.0b	(/ (- (/ t y) y) z)

rewrite52.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

172×	`times-frac`
157×	`add-sqr-sqrt`
111×	`*-un-lft-identity`
77×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/l*`
16×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
5×	`div-sub` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 162

Calls

3 calls:

21.0ms	(+ x (/ (/ (- (/ t y) y) z) 3.0))
14.0ms	(/ (/ (- (/ t y) y) z) 3.0)
9.0ms	(/ (- (/ t y) y) z)

series43.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ x (/ (/ (- (/ t y) y) z) 3.0))
11.0ms	(/ (/ (- (/ t y) y) z) 3.0)
9.0ms	(/ (- (/ t y) y) z)

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5219	2726

prune237.0ms (6.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	171	8	179

Merged error: 0b

Counts

179 → 8

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))
0.1b	(/ (- (/ t y) y) 3.0)
3.2b	(* (/ 1 z) (/ (- (/ t y) y) 3.0))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
59×	`times-frac`
47×	`*-un-lft-identity`
31×	`add-cube-cbrt`
27×	`add-exp-log`
22×	`associate-r`
17×	`add-cbrt-cube`
14×	`difference-of-squares`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`distribute-lft-out--`
6×	`associate-/l*` `unswap-sqr`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`cbrt-unprod`
3×	`associate-/r*` `div-inv`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`+-commutative` `frac-times` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative` `flip--` `flip-+`

Counts

3 → 118

Calls

3 calls:

18.0ms	(* (/ 1 z) (/ (- (/ t y) y) 3.0))
8.0ms	(/ (- (/ t y) y) 3.0)
7.0ms	(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))

series37.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ x (* (/ 1 z) (/ (- (/ t y) y) 3.0)))
12.0ms	(* (/ 1 z) (/ (- (/ t y) y) 3.0))
6.0ms	(/ (- (/ t y) y) 3.0)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5031	1539

prune171.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 0b

Counts

135 → 8

regimes525.0ms (15.2%)

Accuracy

Total 2.1b remaining (99.2%)

Threshold costs 0b (0%)

bsearch13.0ms (0.4%)

Steps

Iters	Range		Point
5	2.5075085290905804e-26	6.369354498162111e-26	6.264993903807226e-26

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	30
1	42	30

end0.0ms (0%)

sample823.0ms (23.8%)

Algorithm

1×

intervals

Results

370.0ms	8000×	body	80	valid
146.0ms	3190×	body	80	invalid

Details

analyze819.0ms (23.6%)

sample35.0ms (1%)

simplify71.0ms (2%)

prune11.0ms (0.3%)

localize8.0ms (0.2%)

rewrite20.0ms (0.6%)

series33.0ms (0.9%)

simplify41.0ms (1.2%)

prune104.0ms (3%)

localize8.0ms (0.2%)

rewrite28.0ms (0.8%)

series42.0ms (1.2%)

simplify44.0ms (1.3%)

prune147.0ms (4.2%)

localize8.0ms (0.2%)

rewrite52.0ms (1.5%)

series43.0ms (1.2%)

simplify51.0ms (1.5%)

prune237.0ms (6.8%)

localize9.0ms (0.3%)

rewrite38.0ms (1.1%)

series37.0ms (1.1%)

simplify44.0ms (1.3%)

prune171.0ms (4.9%)

regimes525.0ms (15.2%)

bsearch13.0ms (0.4%)

simplify1.0ms (0%)

end0.0ms (0%)

sample823.0ms (23.8%)

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