Details

analyze834.0ms

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
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

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	88×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	15
1	54	15

prune8.0ms

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: 3.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
6.4b	(/ t (* (* z 3.0) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
8.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
4.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5051	669

prune338.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	77	10	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	10	88

Merged error: 0b

Counts

88 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ z (/ t 3.0))
0.2b	(/ y (* z 3.0))
0.6b	(/ 1 (* y (/ z (/ t 3.0))))
3.9b	(* y (/ z (/ t 3.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
95×	`add-sqr-sqrt`
86×	`add-cube-cbrt` `*-un-lft-identity`
57×	`add-exp-log`
44×	`associate-r`
37×	`add-cbrt-cube`
25×	`div-exp`
15×	`cbrt-undiv` `associate-/r*`
13×	`prod-exp`
11×	`div-inv`
9×	`pow1` `associate-/l*`
7×	`cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/r/` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down`
1×	`*-commutative` `inv-pow`

Counts

4 → 194

Calls

4 calls:

6.0ms	(/ z (/ t 3.0))
4.0ms	(/ y (* z 3.0))
10.0ms	(/ 1 (* y (/ z (/ t 3.0))))
15.0ms	(* y (/ z (/ t 3.0)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ z (/ t 3.0))
3.0ms	(/ y (* z 3.0))
10.0ms	(/ 1 (* y (/ z (/ t 3.0))))
6.0ms	(* y (/ z (/ t 3.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4982	1862
1	4982	1862

prune284.0ms

Filtered

150 candidates to 206 candidates (-37.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	207	9	216

Merged error: 0b

Counts

216 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* z 3.0))
0.2b	(* (* y (/ z t)) 3.0)
0.6b	(/ 1 (* (* y (/ z t)) 3.0))
4.0b	(* y (/ z t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
37×	`add-cbrt-cube`
23×	`prod-exp`
22×	`add-sqr-sqrt`
17×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
16×	`times-frac` `associate-r`
15×	`div-exp`
13×	`cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow-prod-down`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-l` `add-log-exp`
3×	`pow-flip` `associate-*r/` `div-inv`
2×	`frac-2neg` `associate-l/` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`
1×	`associate-/r/` `inv-pow`

Counts

4 → 112

Calls

4 calls:

4.0ms	(/ y (* z 3.0))
7.0ms	(* (* y (/ z t)) 3.0)
8.0ms	(/ 1 (* (* y (/ z t)) 3.0))
7.0ms	(* y (/ z t))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ y (* z 3.0))
6.0ms	(* (* y (/ z t)) 3.0)
7.0ms	(/ 1 (* (* y (/ z t)) 3.0))
5.0ms	(* y (/ z t))

simplify57.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5140	923

prune135.0ms

Filtered

71 candidates to 124 candidates (-74.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	124	9	133

Merged error: 0b

Counts

133 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
4.1b	(/ (/ t (* z 3.0)) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

5.0ms	(- x (/ y (* z 3.0)))
4.0ms	(/ y (* z 3.0))
5.0ms	(/ t (* z 3.0))
7.0ms	(/ (/ t (* z 3.0)) y)

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5057	1033

prune123.0ms

Filtered

84 candidates to 115 candidates (-36.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	115	9	124

Merged error: 0b

Counts

124 → 9

regimes487.0ms

Accuracy

2.8% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch1.4s

Steps

Iters	Range		Point
6	8.186977393052204e+70	7.88511055787632e+71	4.3847339126164306e+71
8	-1.9588160867440337e+149	-4.5887615165365376e+144	-4.682932022462661e+144

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	41
1	35	41

end0.0ms

analyze831.0ms

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
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

sample770.0ms

Algorithm

intervals

Results

364.0ms	8000×	body	80	valid
135.0ms	3020×	body	80	invalid

Details

analyze834.0ms

sample28.0ms

simplify3.0ms

prune8.0ms

localize9.0ms

rewrite26.0ms

series20.0ms

simplify53.0ms

prune338.0ms

localize11.0ms

rewrite46.0ms

series23.0ms

simplify63.0ms

prune284.0ms

localize11.0ms

rewrite31.0ms

series21.0ms

simplify57.0ms

prune135.0ms

localize9.0ms

rewrite24.0ms

series20.0ms

simplify52.0ms

prune123.0ms

regimes487.0ms

bsearch1.4s

simplify1.0ms

end0.0ms

analyze831.0ms

sample770.0ms

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