Details

sample15.0ms

Algorithm

intervals

Results

5.0ms	243×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify305.0ms

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	3921	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (32.0ms)

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

prune57.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:

21.0ms	(* (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:

308.0ms	(* (cbrt (+ (* 2 (+ x y)) (+ x z))) (cbrt (+ (* 2 (+ x y)) (+ x z))))
241.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
246.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))
246.0ms	(cbrt (+ (* 2 (+ x y)) (+ x z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (54.0ms)

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

prune499.0ms

Filtered

151 candidates to 109 candidates (72.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	150	5	155

Merged error: 0.0b

Counts

155 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 162

Calls

4 calls:

28.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
9.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

414.0ms	(* (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))) (cbrt (cbrt (+ (* 2 (+ x y)) (+ x z)))))
337.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
335.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))
339.0ms	(cbrt (cbrt (+ (* 2 (+ x y)) (+ x z))))

simplify84.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	552	4067
1	2039	3974
2	5002	3866

prune707.0ms

Filtered

174 candidates to 124 candidates (71.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	174	5	179

Merged error: 0.0b

Counts

179 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x z) (+ x z))
0.0b	(- (* 2 (+ x y)) (+ x z))
14.8b	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
33.7b	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

266×	`associate-*r/`
206×	`flip3-+` `flip-+`
136×	`frac-sub`
132×	`frac-times`
66×	`associate-*l/` `associate-/l/`
31×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`swap-sqr` `associate--l+` `associate-/r/` `distribute-lft-out`
5×	`difference-of-squares`
4×	`flip3--` `associate-r` `associate-l` `flip--` `associate-/l*`
3×	`diff-log` `associate-/r*` `associate--r+`
2×	`sub-neg`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 247

Calls

4 calls:

8.0ms	(* (+ x z) (+ x z))
8.0ms	(- (* 2 (+ x y)) (+ x z))
16.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
34.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ x z) (+ x z))
28.0ms	(- (* 2 (+ x y)) (+ x z))
93.0ms	(- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z)))
79.0ms	(/ (- (* (* 2 (+ x y)) (* 2 (+ x y))) (* (+ x z) (+ x z))) (- (* 2 (+ x y)) (+ x z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1582	4891
1	5002	4795

prune1.0s

Filtered

259 candidates to 182 candidates (70.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	258	1	259
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	259	5	264

Merged error: 0.0b

Counts

264 → 5

regimes62.0ms

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

sample368.0ms

Algorithm

intervals

Results

163.0ms	7434×	body	80	valid
18.0ms	163×	body	1280	valid
15.0ms	197×	body	640	valid
7.0ms	116×	body	320	valid
4.0ms	34×	body	2560	valid
3.0ms	68×	body	160	valid