Details

analyze688.0ms (21.1%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4937	13
1	4937	13

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: 1.9b

Counts

2 → 2

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (- z (/ (* y t) (* 2.0 z)))))
4.5b	(/ (* y t) (* 2.0 z))
5.3b	(/ y (- z (/ (* y t) (* 2.0 z))))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
17×	`add-exp-log` `times-frac` `add-cbrt-cube`
13×	`add-cube-cbrt`
6×	`associate-/r*` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`pow1`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `diff-log`

Counts

3 → 72

Calls

3 calls:

11.0ms	(- x (/ y (- z (/ (* y t) (* 2.0 z)))))
6.0ms	(/ y (- z (/ (* y t) (* 2.0 z))))
5.0ms	(/ (* y t) (* 2.0 z))

series48.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ y (- z (/ (* y t) (* 2.0 z))))
19.0ms	(- x (/ y (- z (/ (* y t) (* 2.0 z)))))
6.0ms	(/ (* y t) (* 2.0 z))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5096	1137

prune142.0ms (4.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	4	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Merged error: 0.5b

Counts

83 → 5

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
3.5b	(* (/ y 2.0) (/ t z))
5.3b	(/ y (- z (* (/ y 2.0) (/ t z))))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
32×	`times-frac`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `difference-of-squares`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `distribute-lft-out--`

Counts

3 → 93

Calls

3 calls:

10.0ms	(* (/ y 2.0) (/ t z))
8.0ms	(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
5.0ms	(/ y (- z (* (/ y 2.0) (/ t z))))

series49.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ y (- z (* (/ y 2.0) (/ t z))))
18.0ms	(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
6.0ms	(* (/ y 2.0) (/ t z))

simplify41.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4972	1275
1	4972	1275

prune159.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	100	7	107

Merged error: 0.5b

Counts

107 → 7

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.3b	(/ y (- z (* (/ y 2.0) (/ t z))))
17.3b	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
17.3b	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
17.3b	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 101

Calls

4 calls:

5.0ms	(/ y (- z (* (/ y 2.0) (/ t z))))
4.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
4.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
4.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))

series204.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
61.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
59.0ms	(cbrt (/ y (- z (* (/ y 2.0) (/ t z)))))
22.0ms	(/ y (- z (* (/ y 2.0) (/ t z))))

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4989	2402
1	4989	2402

prune336.0ms (10.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	113	7	120

Merged error: 0.5b

Counts

120 → 7

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (- z (/ (* y t) (* z 2.0))) y)))
0.8b	(/ 1 (/ (- z (/ (* y t) (* z 2.0))) y))
4.5b	(/ (* y t) (* z 2.0))
5.0b	(/ (- z (/ (* y t) (* z 2.0))) y)

rewrite51.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

139×	`times-frac`
116×	`add-sqr-sqrt`
107×	`*-un-lft-identity`
70×	`add-cube-cbrt`
29×	`add-exp-log`
23×	`associate-/r*` `add-cbrt-cube`
21×	`difference-of-squares`
18×	`distribute-lft-out--`
12×	`div-exp`
9×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `associate-/r/` `inv-pow`

Counts

4 → 177

Calls

4 calls:

21.0ms	(- x (/ 1 (/ (- z (/ (* y t) (* z 2.0))) y)))
10.0ms	(/ 1 (/ (- z (/ (* y t) (* z 2.0))) y))
7.0ms	(/ (- z (/ (* y t) (* z 2.0))) y)
6.0ms	(/ (* y t) (* z 2.0))

series43.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(- x (/ 1 (/ (- z (/ (* y t) (* z 2.0))) y)))
13.0ms	(/ 1 (/ (- z (/ (* y t) (* z 2.0))) y))
10.0ms	(/ (- z (/ (* y t) (* z 2.0))) y)
6.0ms	(/ (* y t) (* z 2.0))

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5039	3211

prune290.0ms (8.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	191	5	196

Merged error: 0.0b

Counts

196 → 5

regimes235.0ms (7.2%)

Accuracy

Total 0.1b remaining (80.4%)

Threshold costs 0.1b (80.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	13
1	57	13

end0.0ms (0%)

sample583.0ms (17.9%)

Algorithm

1×

intervals

Results

381.0ms

8000×

body

valid

Details

analyze688.0ms (21.1%)

sample24.0ms (0.7%)

simplify50.0ms (1.5%)

prune11.0ms (0.3%)

localize9.0ms (0.3%)

rewrite25.0ms (0.8%)

series48.0ms (1.5%)

simplify38.0ms (1.2%)

prune142.0ms (4.4%)

localize9.0ms (0.3%)

rewrite26.0ms (0.8%)

series49.0ms (1.5%)

simplify41.0ms (1.3%)

prune159.0ms (4.9%)

localize13.0ms (0.4%)

rewrite23.0ms (0.7%)

series204.0ms (6.2%)

simplify69.0ms (2.1%)

prune336.0ms (10.3%)

localize14.0ms (0.4%)

rewrite51.0ms (1.6%)

series43.0ms (1.3%)

simplify80.0ms (2.5%)

prune290.0ms (8.9%)

regimes235.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample583.0ms (17.9%)

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