Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

397×

body

valid

simplify272.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	7
1	25	6
2	37	4
3	47	4
4	56	4
5	89	4
6	158	4
7	208	4
8	221	4
9	316	4
10	646	4
11	3199	4
12	5003	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ (* x y) (* z z)) (* z z))
48.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify109.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	165	282
1	771	246
2	3528	225
3	5001	214

prune67.0ms

Filtered

33 candidates to 23 candidates (69.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 0.0b

Counts

35 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
3.1b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
5.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

series585.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (+ (+ (* x y) (* z z)) (* z z))) (cbrt (+ (+ (* x y) (* z z)) (* z z))))
140.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
138.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))
143.0ms	(cbrt (+ (+ (* x y) (* z z)) (* z z)))

simplify103.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	300	1437
1	974	1342
2	3797	1237
3	5001	1226

prune253.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))) (cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))))
141.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
134.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
139.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	304	1819
1	1014	1696
2	4348	1559
3	5001	1549

prune276.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	95	12	107

Merged error: 0.0b

Counts

107 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
3.1b	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

series574.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
143.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
140.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))
156.0ms	(cbrt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	168	928
1	476	860
2	1919	824
3	5002	820

prune237.0ms

Filtered

64 candidates to 64 candidates (100.0%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	63	13	76

Merged error: 0.0b

Counts

76 → 13

regimes454.0ms

Accuracy

0% (0.1b 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	7
1	12	7

end0.0ms

sample614.0ms

Algorithm

intervals

Results

370.0ms

12252×

body

valid

Details

sample22.0ms

simplify272.0ms

prune5.0ms

localize10.0ms

rewrite15.0ms

series99.0ms

simplify109.0ms

prune67.0ms

localize11.0ms

rewrite31.0ms

series585.0ms

simplify103.0ms

prune253.0ms

localize11.0ms

rewrite37.0ms

series604.0ms

simplify110.0ms

prune276.0ms

localize16.0ms

rewrite27.0ms

series574.0ms

simplify67.0ms

prune237.0ms

regimes454.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample614.0ms

Profiling