Details

analyze982.0ms

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
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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	183	13
1	183	13

prune15.0ms

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	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b	(/ (- z y) (+ t (- 1.0 z)))
0.8b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite33.0ms

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:

3.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
15.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

series69.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
11.0ms	(/ (- z y) (+ t (- 1.0 z)))
21.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4975	1566
1	4975	1566

prune175.0ms

Filtered

75 candidates to 122 candidates (-62.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
0.0b	(/ 1 (+ t (- 1.0 z)))
0.2b	(* (- z y) (/ 1 (+ t (- 1.0 z))))
0.8b	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
14×	`distribute-lft-out`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `flip3--` `pow-prod-down` `associate-*l/` `associate-/r/` `flip--`
3×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `flip-+` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `clear-num` `sum-log` `inv-pow` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
9.0ms	(/ 1 (+ t (- 1.0 z)))
15.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
14.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
5.0ms	(/ 1 (+ t (- 1.0 z)))
11.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
20.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4948	1532
1	4948	1532

prune140.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	142	6	148

Merged error: 0b

Counts

148 → 6

localize11.0ms

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))
0.4b	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
0.8b	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

rewrite88.0ms

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:

2.0ms	(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
10.0ms	(/ (+ t (- 1.0 z)) (- z y))
14.0ms	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
35.0ms	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ x (* a (/ 1 (/ (+ t (- 1.0 z)) (- z y)))))
12.0ms	(/ (+ t (- 1.0 z)) (- z y))
17.0ms	(/ 1 (/ (+ t (- 1.0 z)) (- z y)))
28.0ms	(* a (/ 1 (/ (+ t (- 1.0 z)) (- z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5168	5141

prune314.0ms

Filtered

176 candidates to 350 candidates (-98.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	350	0	350
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	350	6	356

Merged error: 0b

Counts

356 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
0.9b	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
16×	`pow1`
15×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r/` `associate-r` `associate-l` `associate-l/` `*-commutative`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
17.0ms	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt a)
22.0ms	(cbrt a)
22.0ms	(cbrt a)
27.0ms	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4980	497
1	4980	497

prune55.0ms

Filtered

43 candidates to 72 candidates (-67.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0b

Counts

78 → 6

regimes493.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

analyze974.0ms

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
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

sample594.0ms

Algorithm

intervals

Results

314.0ms	7999×	body	80	valid
22.0ms	485×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze982.0ms

sample22.0ms

simplify7.0ms

prune15.0ms

localize9.0ms

rewrite33.0ms

series69.0ms

simplify65.0ms

prune175.0ms

localize10.0ms

rewrite46.0ms

series71.0ms

simplify60.0ms

prune140.0ms

localize11.0ms

rewrite88.0ms

series103.0ms

simplify73.0ms

prune314.0ms

localize12.0ms

rewrite22.0ms

series94.0ms

simplify48.0ms

prune55.0ms

regimes493.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze974.0ms

sample594.0ms

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