Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	239×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid

simplify301.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

9.0ms

(+ (* 2 (+ x y)) (+ x z))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify36.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune51.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

22.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
248.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
247.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
245.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	506	3272
1	2014	3193
2	5001	3127

prune487.0ms

Filtered

151 candidates to 109 candidates (72.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	149	6	155

Merged error: 0.0b

Counts

155 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 2 (+ x y)) (+ x z)))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

402×	`cbrt-div`
215×	`flip3-+` `flip-+`
190×	`associate-*r/`
172×	`frac-add`
108×	`frac-times`
18×	`associate-*l/`
6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 188

Calls

4 calls:

8.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
22.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
22.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
22.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
442.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
430.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
444.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify110.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	560	7252
1	1549	7166
2	5001	7157

prune930.0ms

Filtered

200 candidates to 133 candidates (66.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	199	7	206

Merged error: 0.0b

Counts

206 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
0.6b	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

528×	`cbrt-div`
280×	`flip3-+` `flip-+`
248×	`associate-*r/`
224×	`frac-add`
144×	`frac-times`
24×	`associate-*l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 228

Calls

4 calls:

23.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
22.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
23.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
27.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

449.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
443.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
440.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))
447.0ms	(cbrt (* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z)))))

simplify126.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	507	9324
1	1409	9224
2	5001	9216

prune1.2s

Filtered

240 candidates to 152 candidates (63.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	240	7	247

Merged error: 0.0b

Counts

247 → 7

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample441.0ms

Algorithm

intervals

Results

216.0ms	7440×	body	80	valid
25.0ms	168×	body	1280	valid
17.0ms	164×	body	640	valid
13.0ms	127×	body	320	valid
5.0ms	33×	body	2560	valid
4.0ms	79×	body	160	valid

Details

sample18.0ms

simplify301.0ms

prune4.0ms

localize10.0ms

rewrite10.0ms

series23.0ms

simplify36.0ms

prune51.0ms

localize11.0ms

rewrite60.0ms

series1.0s

simplify89.0ms

prune487.0ms

localize22.0ms

rewrite103.0ms

series1.6s

simplify110.0ms

prune930.0ms

localize21.0ms

rewrite131.0ms

series1.8s

simplify126.0ms

prune1.2s

regimes89.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample441.0ms

Profiling