Details

analyze663.0ms

Algorithm

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5002	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 6.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 97

Calls

4 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms	(- (* y z) x)
13.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* y z) x)
33.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5537	1914

prune150.0ms

Filtered

84 candidates to 109 candidates (-29.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	7	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 0.0b

Counts

110 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
2.5b	(* y (/ z (- (* z t) x)))
3.3b	(/ x (- (* z t) x))
10.0b	(/ z (- (* z t) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

16.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
8.0ms	(* y (/ z (- (* z t) x)))
5.0ms	(/ x (- (* z t) x))
5.0ms	(/ z (- (* z t) x))

series66.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
11.0ms	(* y (/ z (- (* z t) x)))
13.0ms	(/ x (- (* z t) x))
8.0ms	(/ z (- (* z t) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4960	2243
1	4960	2243

prune152.0ms

Filtered

110 candidates to 145 candidates (-31.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	146	6	152

Merged error: 0b

Counts

152 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
0.0b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
2.9b	(/ y (- t (/ x z)))
3.3b	(/ x (- (* z t) x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
34×	`add-cube-cbrt`
18×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
9×	`add-log-exp`
8×	`difference-of-squares`
6×	`associate-/r/`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`associate-+r-` `flip3--` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `associate-+r+` `diff-log` `div-sub`

Counts

4 → 132

Calls

4 calls:

29.0ms	(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
31.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
7.0ms	(/ y (- t (/ x z)))
5.0ms	(/ x (- (* z t) x))

series78.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x))))
32.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
9.0ms	(/ y (- t (/ x z)))
11.0ms	(/ x (- (* z t) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4991	2563
1	4991	2563

prune139.0ms

Filtered

100 candidates to 144 candidates (-44.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Merged error: 0b

Counts

150 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* y (/ 1 (- t (/ x z)))) (/ x (- (* z t) x)))) (+ x 1.0))
0.5b	(/ 1 (- t (/ x z)))
2.5b	(* y (/ 1 (- t (/ x z))))
3.3b	(/ x (- (* z t) x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
70×	`times-frac`
44×	`add-cube-cbrt`
24×	`associate-r`
21×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`difference-of-squares`
13×	`associate-/r*`
10×	`distribute-lft-out` `associate-/l*`
8×	`associate-/r/`
7×	`pow1` `distribute-lft-out--`
6×	`div-exp`
4×	`cbrt-undiv` `prod-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--` `unswap-sqr`
2×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`associate-+r-` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

20.0ms	(/ (+ x (- (* y (/ 1 (- t (/ x z)))) (/ x (- (* z t) x)))) (+ x 1.0))
8.0ms	(/ 1 (- t (/ x z)))
12.0ms	(* y (/ 1 (- t (/ x z))))
5.0ms	(/ x (- (* z t) x))

series65.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (+ x (- (* y (/ 1 (- t (/ x z)))) (/ x (- (* z t) x)))) (+ x 1.0))
8.0ms	(/ 1 (- t (/ x z)))
12.0ms	(* y (/ 1 (- t (/ x z))))
12.0ms	(/ x (- (* z t) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5370	2510

prune153.0ms

Filtered

114 candidates to 174 candidates (-52.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Merged error: 0b

Counts

180 → 6

regimes245.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

end0.0ms

analyze654.0ms

Algorithm

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

sample596.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	80	valid
15.0ms	330×	body	80	invalid

Details

analyze663.0ms

sample21.0ms

simplify52.0ms

prune7.0ms

localize10.0ms

rewrite40.0ms

series80.0ms

simplify48.0ms

prune150.0ms

localize12.0ms

rewrite38.0ms

series66.0ms

simplify67.0ms

prune152.0ms

localize15.0ms

rewrite77.0ms

series78.0ms

simplify41.0ms

prune139.0ms

localize18.0ms

rewrite51.0ms

series65.0ms

simplify60.0ms

prune153.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze654.0ms

sample596.0ms

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