Details

analyze383.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	41×	body	80	invalid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

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: 9.0b

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)))
6.5b	(* x (/ y (* z (* z (+ z 1.0)))))
6.6b	(/ y (* z (* z (+ z 1.0))))

rewrite36.0ms

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)))
12.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* z (+ z 1.0))
7.0ms	(* z (* z (+ z 1.0)))
14.0ms	(* x (/ y (* z (* z (+ z 1.0)))))
8.0ms	(/ y (* z (* z (+ z 1.0))))

simplify29.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5158	1122

prune135.0ms

Filtered

74 candidates to 115 candidates (-55.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Merged error: 1.4b

Counts

117 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
2.1b	(/ (cbrt y) (* z (+ z 1.0)))
2.6b	(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite36.0ms

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)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
7.0ms	(/ (cbrt y) (* z (+ z 1.0)))
8.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

series104.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (cbrt y) (* z (+ z 1.0))))
26.0ms	(/ (cbrt y) (* z (+ z 1.0)))
39.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5114	1389

prune152.0ms

Filtered

78 candidates to 124 candidates (-59.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	121	10	131

Merged error: 0.0b

Counts

131 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
2.6b	(* (* (cbrt y) (/ (cbrt y) z)) x)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
126×	`*-un-lft-identity`
97×	`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`
5×	`div-inv`
4×	`associate-r/` `associate-l/` `add-log-exp`
2×	`pow1/3` `associate-l` `associate-/r/` `*-commutative`
1×	`frac-times` `flip3-+` `flip-+`

Counts

4 → 176

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
31.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
8.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

series104.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
16.0ms	(* (* (* (cbrt y) (/ (cbrt y) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
44.0ms	(* (* (cbrt y) (/ (cbrt y) z)) x)

simplify86.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4948	2514
1	4948	2514

prune209.0ms

Filtered

108 candidates to 188 candidates (-74.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	190	8	198

Merged error: 0.0b

Counts

198 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (/ 1 (/ -1 y)))
0.9b	(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
2.6b	(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

226×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt` `add-cube-cbrt`
97×	`associate-r`
93×	`add-exp-log`
83×	`cbrt-prod`
68×	`add-cbrt-cube`
47×	`prod-exp` `cbrt-unprod`
23×	`cbrt-undiv` `div-exp`
22×	`distribute-lft-out`
18×	`pow1`
9×	`pow-prod-down` `div-inv`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`associate-/r/`
2×	`pow1/3` `associate-l` `*-commutative`
1×	`frac-times` `cbrt-div` `flip3-+` `flip-+`

Counts

4 → 226

Calls

4 calls:

1.0ms	(cbrt y)
6.0ms	(cbrt (/ 1 (/ -1 y)))
35.0ms	(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
15.0ms	(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

series138.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
24.0ms	(cbrt (/ 1 (/ -1 y)))
38.0ms	(* (* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x) (/ (/ (cbrt y) z) (+ z 1.0)))
54.0ms	(* (* (cbrt y) (/ (* (cbrt -1) (cbrt (/ 1 (/ -1 y)))) z)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4981	4478
1	4981	4478

prune340.0ms

Filtered

160 candidates to 238 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	237	1	238
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	238	8	246

Merged error: 0.0b

Counts

246 → 8

regimes179.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms

sample496.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
51.0ms	1562×	body	80	invalid

Details

analyze383.0ms

sample21.0ms

simplify51.0ms

prune9.0ms

localize7.0ms

rewrite36.0ms

series34.0ms

simplify29.0ms

prune135.0ms

localize14.0ms

rewrite36.0ms

series104.0ms

simplify37.0ms

prune152.0ms

localize11.0ms

rewrite51.0ms

series104.0ms

simplify86.0ms

prune209.0ms

localize21.0ms

rewrite75.0ms

series138.0ms

simplify51.0ms

prune340.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample496.0ms

Profiling