Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	295×	body	80	valid
1.0ms	11×	body	320	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	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 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms	(+ (* d1 3.0) (* d1 d2))

series80.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
39.0ms	(+ (* d1 3.0) (* d1 d2))

simplify107.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune56.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`distribute-lft-out`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
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 → 93

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
5.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
5.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
5.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
130.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
126.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
131.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	405	1672
1	1336	1562
2	5001	1430

prune302.0ms

Filtered

105 candidates to 84 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	101	7	108

Merged error: 0b

Counts

108 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b	(cbrt d1)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-lft-out`
11×	`pow1`
9×	`pow1/3`
8×	`flip3-+` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log`
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 → 90

Calls

4 calls:

14.0ms	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
9.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
5.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
1.0ms	(cbrt d1)

series590.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))) (cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))))
131.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
128.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
173.0ms	(cbrt d1)

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	433	1475
1	1416	1375
2	5001	1258

prune339.0ms

Filtered

102 candidates to 80 candidates (78.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

26×	`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`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`cbrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `distribute-lft-out`
1×	`pow2` `flip3-+` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 76

Calls

4 calls:

190.0ms	(* (cbrt d1) (cbrt d1))
5.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series669.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt d1) (cbrt d1))
135.0ms	(cbrt (+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3)))
172.0ms	(cbrt d1)
168.0ms	(cbrt d1)

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	320	485
1	1173	446
2	5001	413

prune258.0ms

Filtered

88 candidates to 68 candidates (77.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	88	7	95

Merged error: 0b

Counts

95 → 7

regimes134.0ms

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	14	5
1	14	5

end0.0ms

sample556.0ms

Algorithm

intervals

Results

287.0ms	9522×	body	80	valid
26.0ms	229×	body	640	valid
16.0ms	168×	body	320	valid
10.0ms	80×	body	1280	valid
7.0ms	77×	body	160	valid