Details

analyze808.0ms (19.3%)

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

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	92×	body	80	invalid

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5189	11

prune12.0ms (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

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
5.5b	(/ t (* (* z 3.0) y))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 80

Calls

4 calls:

11.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms	(/ t (* (* z 3.0) y))
5.0ms	(* (* z 3.0) y)
4.0ms	(/ y (* z 3.0))

series31.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms	(/ t (* (* z 3.0) y))
3.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))

simplify40.0ms (1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5063	950

prune168.0ms (4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ t (* z 3.0))
0.2b	(/ y (* z 3.0))
3.9b	(/ (/ t (* z 3.0)) y)

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `associate-+l+` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 108

Calls

4 calls:

15.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ t (* z 3.0)) y)
4.0ms	(/ t (* z 3.0))
4.0ms	(/ y (* z 3.0))

series32.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ t (* z 3.0)) y)
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))

simplify41.0ms (1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4983	1306
1	4983	1306

prune184.0ms (4.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.9b	(/ (/ t (* z 3.0)) y)
13.9b	(cbrt (/ (/ t (* z 3.0)) y))
13.9b	(cbrt (/ (/ t (* z 3.0)) y))
13.9b	(cbrt (/ (/ t (* z 3.0)) y))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

123×	`times-frac`
75×	`cbrt-prod`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`

Counts

4 → 150

Calls

4 calls:

6.0ms	(/ (/ t (* z 3.0)) y)
5.0ms	(cbrt (/ (/ t (* z 3.0)) y))
5.0ms	(cbrt (/ (/ t (* z 3.0)) y))
5.0ms	(cbrt (/ (/ t (* z 3.0)) y))

series79.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (/ (/ t (* z 3.0)) y))
23.0ms	(cbrt (/ (/ t (* z 3.0)) y))
23.0ms	(cbrt (/ (/ t (* z 3.0)) y))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4954	2185
1	4954	2185

prune451.0ms (10.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	162	8	170

Merged error: 0b

Counts

170 → 8

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(* (* z 3.0) y)
0.2b	(/ z (/ y 3.0))
0.3b	(/ 1 (/ z (/ y 3.0)))
5.5b	(/ t (* (* z 3.0) y))

rewrite48.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac`
234×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
58×	`associate-/r*`
44×	`add-exp-log`
32×	`add-cbrt-cube`
23×	`div-inv`
21×	`div-exp`
12×	`cbrt-undiv`
10×	`pow1`
9×	`associate-/l*`
6×	`prod-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-r` `pow-prod-down` `clear-num`
1×	`pow-flip` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 315

Calls

4 calls:

14.0ms	(/ 1 (/ z (/ y 3.0)))
6.0ms	(/ t (* (* z 3.0) y))
5.0ms	(/ z (/ y 3.0))
5.0ms	(* (* z 3.0) y)

series16.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ t (* (* z 3.0) y))
4.0ms	(* (* z 3.0) y)
3.0ms	(/ 1 (/ z (/ y 3.0)))
3.0ms	(/ z (/ y 3.0))

simplify91.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4979	3893
1	4979	3893

prune596.0ms (14.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	326	1	327
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	327	8	335

Merged error: 0b

Counts

335 → 8

regimes454.0ms (10.8%)

Accuracy

Total 0.7b remaining (95.3%)

Threshold costs 0.7b (95.3%)

bsearch45.0ms (1.1%)

Steps

Iters	Range		Point
9	1.700293156427985e-129	2.4814845394733175e-124	1.664154512901837e-124
9	-1.3562971337395754e+35	-1.702003085814425e+29	-4.833879571757204e+31

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	55
1	71	55

end0.0ms (0%)

sample775.0ms (18.5%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	80	valid
135.0ms	3013×	body	80	invalid

Details

analyze808.0ms (19.3%)

sample28.0ms (0.7%)

simplify83.0ms (2%)

prune12.0ms (0.3%)

localize14.0ms (0.3%)

rewrite28.0ms (0.7%)

series31.0ms (0.7%)

simplify40.0ms (1%)

prune168.0ms (4%)

localize9.0ms (0.2%)

rewrite33.0ms (0.8%)

series32.0ms (0.8%)

simplify41.0ms (1%)

prune184.0ms (4.4%)

localize16.0ms (0.4%)

rewrite27.0ms (0.7%)

series79.0ms (1.9%)

simplify69.0ms (1.6%)

prune451.0ms (10.8%)

localize11.0ms (0.3%)

rewrite48.0ms (1.1%)

series16.0ms (0.4%)

simplify91.0ms (2.2%)

prune596.0ms (14.2%)

regimes454.0ms (10.8%)

bsearch45.0ms (1.1%)

simplify2.0ms (0%)

end0.0ms (0%)

sample775.0ms (18.5%)

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