Details

analyze1.1s

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (+ t (- 1.0 z)))
0.0b	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
1.3b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 113

Calls

3 calls:

9.0ms	(/ (- z y) (+ t (- 1.0 z)))
3.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
14.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

series62.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- z y) (+ t (- 1.0 z)))
31.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
21.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune139.0ms

Filtered

76 candidates to 122 candidates (-60.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
0.0b	(/ (+ t (- 1.0 z)) (- z y))
0.1b	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
1.3b	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--` `associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
9.0ms	(/ (+ t (- 1.0 z)) (- z y))
13.0ms	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
32.0ms	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
10.0ms	(/ (+ t (- 1.0 z)) (- z y))
15.0ms	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
30.0ms	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5170	5155

prune529.0ms

Filtered

176 candidates to 350 candidates (-98.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	350	4	354

Merged error: 0b

Counts

354 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
0.0b	(/ (+ t (- 1.0 z)) (- z y))
1.3b	(/ a (/ (+ t (- 1.0 z)) (- z y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

275×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
53×	`distribute-lft-out`
52×	`distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+r-` `div-sub` `sum-log`

Counts

3 → 206

Calls

3 calls:

30.0ms	(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
9.0ms	(/ (+ t (- 1.0 z)) (- z y))
13.0ms	(/ a (/ (+ t (- 1.0 z)) (- z y)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (/ a (/ (+ t (- 1.0 z)) (- z y))))
11.0ms	(/ (+ t (- 1.0 z)) (- z y))
25.0ms	(/ a (/ (+ t (- 1.0 z)) (- z y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5102	3798

prune198.0ms

Filtered

126 candidates to 215 candidates (-70.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ t (- 1.0 z)))
0.0b	(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
10.7b	(* (/ a (+ t (- 1.0 z))) (- z y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-l`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `flip3--` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `difference-of-squares`

Counts

3 → 98

Calls

3 calls:

6.0ms	(/ a (+ t (- 1.0 z)))
3.0ms	(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
14.0ms	(* (/ a (+ t (- 1.0 z))) (- z y))

series75.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ a (+ t (- 1.0 z)))
39.0ms	(+ x (* (/ a (+ t (- 1.0 z))) (- z y)))
28.0ms	(* (/ a (+ t (- 1.0 z))) (- z y))

simplify31.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5203	1359

prune107.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

regimes432.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	13
1	32	13

end0.0ms

sample646.0ms

Algorithm

intervals

Results

346.0ms	7998×	body	80	valid
18.0ms	444×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid

Details

analyze1.1s

sample27.0ms

simplify47.0ms

prune12.0ms

localize9.0ms

rewrite31.0ms

series62.0ms

simplify54.0ms

prune139.0ms

localize10.0ms

rewrite77.0ms

series96.0ms

simplify60.0ms

prune529.0ms

localize9.0ms

rewrite63.0ms

series81.0ms

simplify67.0ms

prune198.0ms

localize10.0ms

rewrite28.0ms

series75.0ms

simplify31.0ms

prune107.0ms

regimes432.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample646.0ms

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