Details

analyze967.0ms

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune16.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
11.2b	(* (- y z) (/ t (- a z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
13.0ms	(* (- y z) (/ t (- a z)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5122	1060

prune131.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
5.2b	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
16×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`cbrt-prod`
11×	`add-cbrt-cube`
9×	`pow1`
8×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`cbrt-div`
5×	`flip3--` `associate-l` `flip--`
4×	`associate-*r/` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (- a z))
5.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
17.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

series154.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- a z))
25.0ms	(cbrt (- a z))
28.0ms	(cbrt (- a z))
76.0ms	(* (- y z) (* (cbrt t) (/ (cbrt t) (* (cbrt (- a z)) (cbrt (- a z))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4957	1039
1	4957	1039

prune117.0ms

Filtered

65 candidates to 86 candidates (-32.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
11.2b	(* (- y z) (* t (/ 1 (- a z))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

3.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
5.0ms	(/ 1 (- a z))
10.0ms	(* t (/ 1 (- a z)))
12.0ms	(* (- y z) (* t (/ 1 (- a z))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
4.0ms	(/ 1 (- a z))
7.0ms	(* t (/ 1 (- a z)))
15.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5109	1200

prune138.0ms

Filtered

81 candidates to 140 candidates (-72.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	0	6	6
Picked	0	1	1
Done	1	1	2
Total	140	9	149

Merged error: 0b

Counts

149 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt (* (- y z) (/ t (- a z))))
11.2b	(* (- y z) (/ t (- a z)))
11.2b	(* (- y z) (/ t (- a z)))
11.2b	(* (- y z) (/ t (- a z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`associate-r`
58×	`*-un-lft-identity`
48×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
15×	`associate-l`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`flip3--` `flip--`
10×	`pow1`
8×	`frac-times` `associate-*l/`
6×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
5×	`cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 152

Calls

4 calls:

8.0ms	(cbrt (* (- y z) (/ t (- a z))))
12.0ms	(* (- y z) (/ t (- a z)))
15.0ms	(* (- y z) (/ t (- a z)))
12.0ms	(* (- y z) (/ t (- a z)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (- y z) (/ t (- a z))))
15.0ms	(* (- y z) (/ t (- a z)))
15.0ms	(* (- y z) (/ t (- a z)))
15.0ms	(* (- y z) (/ t (- a z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5268	1796

prune151.0ms

Filtered

121 candidates to 164 candidates (-35.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	164	9	173

Merged error: 0b

Counts

173 → 9

regimes674.0ms

Accuracy

74.6% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	47
1	26	47

end0.0ms

analyze969.0ms

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample628.0ms

Algorithm

intervals

Results

315.0ms	7997×	body	80	valid
28.0ms	785×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze967.0ms

sample23.0ms

simplify4.0ms

prune16.0ms

localize8.0ms

rewrite24.0ms

series49.0ms

simplify42.0ms

prune131.0ms

localize17.0ms

rewrite30.0ms

series154.0ms

simplify47.0ms

prune117.0ms

localize12.0ms

rewrite35.0ms

series55.0ms

simplify44.0ms

prune138.0ms

localize13.0ms

rewrite54.0ms

series137.0ms

simplify52.0ms

prune151.0ms

regimes674.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze969.0ms

sample628.0ms

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