Details

analyze392.0ms

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

sample22.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	39×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5021	11

prune9.0ms

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: 13.7b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (* z (+ z 1.0)))
8.1b	(/ y (* z (* z (+ z 1.0))))
8.9b	(* x (/ y (* z (* z (+ z 1.0)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* z (* z (+ z 1.0)))
8.0ms	(/ y (* z (* z (+ z 1.0))))
15.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5111	959

prune120.0ms

Filtered

56 candidates to 89 candidates (-58.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 1.7b

Counts

91 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.4b	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (cbrt y) (* z (+ z 1.0))))
1.9b	(/ (cbrt y) (* z (+ z 1.0)))
2.5b	(* x (* (/ (cbrt y) z) (cbrt y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
50×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
18×	`pow1`
14×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`cbrt-prod` `times-frac`
9×	`pow-prod-down`
8×	`associate-*r/`
6×	`associate-/l*`
4×	`associate-l` `associate-*l/` `associate-/r/` `add-log-exp`
2×	`flip3-+` `*-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	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (cbrt y) (* z (+ z 1.0))))
6.0ms	(/ (cbrt y) (* z (+ z 1.0)))
8.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
18.0ms	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (cbrt y) (* z (+ z 1.0))))
23.0ms	(/ (cbrt y) (* z (+ z 1.0)))
32.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5026	1387

prune153.0ms

Filtered

81 candidates to 124 candidates (-53.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	123	11	134

Merged error: 0.4b

Counts

134 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.4b	(* (* x (* (/ (cbrt y) z) (cbrt y))) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))
2.5b	(* x (* (/ (cbrt y) z) (cbrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

195×	`add-exp-log`
118×	`prod-exp`
89×	`add-cbrt-cube`
66×	`cbrt-unprod`
42×	`div-exp`
30×	`pow1`
22×	`cbrt-undiv`
18×	`pow-prod-down`
10×	`associate-*r/`
8×	`rec-exp` `1-exp` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`frac-times`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
19.0ms	(* (* x (* (/ (cbrt y) z) (cbrt y))) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))
8.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(* (* x (* (/ (cbrt y) z) (cbrt y))) (* (/ 1 z) (/ (cbrt y) (+ z 1.0))))
28.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	1306
1	4947	1306

prune108.0ms

Filtered

53 candidates to 134 candidates (-152.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	134	11	145

Merged error: 0.4b

Counts

145 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (cbrt y)) (cbrt (cbrt y)))
1.2b	(/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))
1.4b	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
2.5b	(* x (* (/ (cbrt y) z) (cbrt y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

194×	`add-exp-log`
128×	`add-cbrt-cube`
104×	`prod-exp` `cbrt-unprod`
54×	`cbrt-prod`
48×	`cbrt-undiv` `div-exp`
36×	`add-sqr-sqrt`
25×	`pow1`
20×	`associate-r`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
11×	`pow-prod-down`
10×	`associate-/r/`
9×	`swap-sqr` `unswap-sqr`
8×	`associate-*r/`
6×	`pow1/3` `associate-*l/`
5×	`frac-times`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`*-commutative`
2×	`times-frac` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 186

Calls

4 calls:

7.0ms	(* (cbrt (cbrt y)) (cbrt (cbrt y)))
14.0ms	(/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))
24.0ms	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
10.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (cbrt y)) (cbrt (cbrt y)))
23.0ms	(/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0)))
19.0ms	(* (* x (* (/ (cbrt y) z) (cbrt y))) (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (* (/ z (cbrt (cbrt y))) (+ z 1.0))))
33.0ms	(* x (* (/ (cbrt y) z) (cbrt y)))

simplify116.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4957	2133
1	4957	2133

prune143.0ms

Filtered

94 candidates to 198 candidates (-110.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	9	9
Picked	0	1	1
Done	1	0	1
Total	198	11	209

Merged error: 0.4b

Counts

209 → 11

regimes220.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.2b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	19	39

end0.0ms

sample527.0ms

Algorithm

intervals

Results

276.0ms	8000×	body	80	valid
51.0ms	1557×	body	80	invalid

Details

analyze392.0ms

sample22.0ms

simplify52.0ms

prune9.0ms

localize7.0ms

rewrite28.0ms

series28.0ms

simplify27.0ms

prune120.0ms

localize11.0ms

rewrite34.0ms

series94.0ms

simplify40.0ms

prune153.0ms

localize15.0ms

rewrite35.0ms

series94.0ms

simplify68.0ms

prune108.0ms

localize16.0ms

rewrite64.0ms

series110.0ms

simplify116.0ms

prune143.0ms

regimes220.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample527.0ms

Profiling