Details

analyze384.0ms

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

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	49×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

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: 10.0b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ z 1.0))
0.1b	(* z (* z (+ z 1.0)))
5.6b	(/ y (* z (* z (+ z 1.0))))
7.0b	(* x (/ y (* z (* z (+ z 1.0)))))

rewrite33.0ms

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
5.0ms	(* z (* z (+ z 1.0)))
8.0ms	(/ y (* z (* z (+ z 1.0))))
14.0ms	(* x (/ y (* z (* z (+ z 1.0)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5158	1122

prune126.0ms

Filtered

72 candidates to 115 candidates (-59.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 1.9b

Counts

117 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.4b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
2.1b	(/ (cbrt y) (* z (+ z 1.0)))
2.2b	(* x (* (cbrt y) (/ (cbrt y) z)))

rewrite33.0ms

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`
11×	`associate-*r/`
9×	`pow-prod-down`
6×	`associate-/l*`
4×	`associate-l` `associate-/r/` `add-log-exp`
2×	`flip3-+` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-l/` `clear-num` `associate-/r`

Counts

4 → 112

Calls

4 calls:

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

series92.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
19.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (cbrt y) (* z (+ z 1.0))))
22.0ms	(/ (cbrt y) (* z (+ z 1.0)))
30.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5029	1385

prune149.0ms

Filtered

76 candidates to 124 candidates (-63.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	117	7	124
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	119	12	131

Merged error: 0.3b

Counts

131 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.4b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
2.2b	(* x (* (cbrt y) (/ (cbrt y) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
126×	`*-un-lft-identity`
95×	`associate-r`
82×	`add-sqr-sqrt` `add-cube-cbrt`
67×	`add-exp-log`
51×	`add-cbrt-cube`
42×	`cbrt-prod`
32×	`prod-exp` `cbrt-unprod`
22×	`distribute-lft-out`
18×	`pow1`
16×	`cbrt-undiv` `div-exp`
9×	`pow-prod-down`
7×	`associate-*r/`
5×	`div-inv`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 176

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
25.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
7.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
17.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (cbrt y) z) (+ z 1.0)))
31.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4996	2920
1	4996	2920

prune247.0ms

Filtered

129 candidates to 188 candidates (-45.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	4	6	10
Picked	0	1	1
Done	0	1	1
Total	188	12	200

Merged error: 0.0b

Counts

200 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
1.4b	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z) (+ z 1.0)))
2.2b	(* x (* (cbrt y) (/ (cbrt y) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-exp-log`
89×	`add-cbrt-cube`
62×	`prod-exp` `cbrt-unprod`
40×	`times-frac`
39×	`*-un-lft-identity`
35×	`associate-r`
34×	`cbrt-undiv` `div-exp`
25×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`pow1` `cbrt-prod`
9×	`pow-prod-down`
7×	`associate-*r/` `distribute-lft-out`
5×	`div-inv`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 138

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
28.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z) (+ z 1.0)))
7.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt y))
34.0ms	(cbrt (cbrt y))
19.0ms	(* (* x (* (cbrt y) (/ (cbrt y) z))) (/ (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) z) (+ z 1.0)))
28.0ms	(* x (* (cbrt y) (/ (cbrt y) z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4977	1726
1	4977	1726

prune107.0ms

Filtered

77 candidates to 150 candidates (-94.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	148	14	162

Merged error: 0.0b

Counts

162 → 14

regimes523.0ms

Accuracy

24.7% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	49
1	29	49

end0.0ms

sample520.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
51.0ms	1518×	body	80	invalid

Details

analyze384.0ms

sample20.0ms

simplify49.0ms

prune9.0ms

localize10.0ms

rewrite33.0ms

series31.0ms

simplify27.0ms

prune126.0ms

localize11.0ms

rewrite33.0ms

series92.0ms

simplify36.0ms

prune149.0ms

localize13.0ms

rewrite45.0ms

series90.0ms

simplify58.0ms

prune247.0ms

localize17.0ms

rewrite45.0ms

series110.0ms

simplify73.0ms

prune107.0ms

regimes523.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample520.0ms

Profiling