Details

analyze365.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	53×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5021	11

prune10.0ms

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: 10.7b

Counts

2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(* z (* z (+ z 1.0)))
6.9b	(* x (/ y (* z (* z (+ z 1.0)))))
7.2b	(/ y (* z (* z (+ z 1.0))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`associate-*r/`
14×	`-un-lft-identity` `associate-r*` `prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`flip3-+` `associate-/r/` `flip-+` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

6.0ms	(* z (+ z 1.0))
7.0ms	(* z (* z (+ z 1.0)))
11.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

series37.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
15.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
12.0ms	(/ y (* z (* z (+ z 1.0))))

simplify29.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5158	1122

prune135.0ms

Filtered

74 candidates to 115 candidates (-55.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Merged error: 1.7b

Counts

117 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.4b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
1.7b	(* (* (cbrt y) (/ (cbrt y) z)) x)
3.3b	(/ (cbrt y) (* z (+ z 1.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
50×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
18×	`pow1`
15×	`associate-r`
14×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `times-frac`
9×	`pow-prod-down`
8×	`associate-*r/`
6×	`associate-/l*`
4×	`associate-*l/` `associate-/r/` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `frac-2neg` `pow1/3` `clear-num` `associate-/r*`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt y)
15.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
6.0ms	(/ (cbrt y) (* z (+ z 1.0)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
17.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
40.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)
23.0ms	(/ (cbrt y) (* z (+ z 1.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5114	1389

prune162.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	118	14	132

Merged error: 0.0b

Counts

132 → 14

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
1.4b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))
1.7b	(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

171×	`add-exp-log`
111×	`add-cbrt-cube`
108×	`prod-exp` `cbrt-unprod`
45×	`pow1`
30×	`pow-prod-down`
28×	`cbrt-undiv` `div-exp`
18×	`cbrt-prod`
12×	`associate-*l/`
10×	`associate-*r/`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`frac-times`
4×	`associate-r` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
25.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))
14.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

series118.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt y))
29.0ms	(cbrt (cbrt y))
17.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))
41.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify82.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4907	1461
1	4907	1461

prune115.0ms

Filtered

58 candidates to 143 candidates (-146.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	144	13	157

Merged error: 0.0b

Counts

157 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt y))
0.7b	(cbrt (cbrt y))
1.0b	(* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x))))
1.4b	(* (* (* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x)))) (cbrt x)) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

358×	`add-exp-log`
249×	`prod-exp` `cbrt-unprod`
165×	`add-cbrt-cube`
88×	`pow1`
66×	`pow-prod-down`
51×	`cbrt-undiv` `div-exp`
21×	`cbrt-prod`
16×	`associate-*l/`
10×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`associate-l`
5×	`frac-times`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 187

Calls

4 calls:

1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
12.0ms	(* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x))))
34.0ms	(* (* (* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x)))) (cbrt x)) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt y))
29.0ms	(cbrt (cbrt y))
39.0ms	(* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x))))
18.0ms	(* (* (* (cbrt y) (* (/ (cbrt y) z) (* (cbrt x) (cbrt x)))) (cbrt x)) (* (* (/ (cbrt (cbrt y)) z) (cbrt (cbrt y))) (/ (cbrt (cbrt y)) (+ z 1.0))))

simplify100.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5103	3440

prune91.0ms

Filtered

65 candidates to 199 candidates (-206.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	199	13	212

Merged error: 0.0b

Counts

212 → 13

regimes468.0ms

Accuracy

28.1% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	50
1	36	50

end0.0ms

sample498.0ms

Algorithm

intervals

Results

262.0ms	8000×	body	80	valid
55.0ms	1464×	body	80	invalid

Details

analyze365.0ms

sample19.0ms

simplify49.0ms

prune10.0ms

localize7.0ms

rewrite34.0ms

series37.0ms

simplify29.0ms

prune135.0ms

localize11.0ms

rewrite34.0ms

series101.0ms

simplify35.0ms

prune162.0ms

localize32.0ms

rewrite50.0ms

series118.0ms

simplify82.0ms

prune115.0ms

localize20.0ms

rewrite63.0ms

series115.0ms

simplify100.0ms

prune91.0ms

regimes468.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample498.0ms

Profiling