Details

analyze233.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	3

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- x (* (* y 4.0) z))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(- x (* (* y 4.0) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	79
1	288	72
2	1507	72
3	5001	72

prune23.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (* y 4.0) z)))
0.5b	(cbrt (- x (* (* y 4.0) z)))
0.5b	(cbrt (- x (* (* y 4.0) z)))
0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))

rewrite17.0ms

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:

2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
2.0ms	(cbrt (- x (* (* y 4.0) z)))
8.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- x (* (* y 4.0) z)))
37.0ms	(cbrt (- x (* (* y 4.0) z)))
40.0ms	(cbrt (- x (* (* y 4.0) z)))
47.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))

simplify140.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	281	1069
1	952	1004
2	4708	934
3	5001	919

prune212.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
0.5b	(* (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))) (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

396×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
60×	`add-sqr-sqrt`
56×	`cbrt-prod`
50×	`associate-r/` `associate-l/`
32×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
24×	`pow1/3`
22×	`swap-sqr` `associate-r` `associate-l`
16×	`unswap-sqr`
12×	`add-exp-log`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`pow2` `pow-plus` `prod-exp` `*-commutative` `add-cbrt-cube` `cbrt-unprod` `add-log-exp`

Counts

4 → 258

Calls

4 calls:

8.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
8.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
8.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
11.0ms	(* (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))) (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
48.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
49.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
63.0ms	(* (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))) (cbrt (* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))))

simplify98.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	479	6735
1	1436	6517
2	5001	6214

prune1.0s

Filtered

144 candidates to 270 candidates (-87.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	269	1	270
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	269	4	273

Merged error: 0b

Counts

273 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* (* y 4.0) z)))
0.5b	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
2.7b	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
27.6b	(cbrt (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
22×	`add-sqr-sqrt`
16×	`cbrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `difference-of-squares`
1×	`pow2` `sub-neg` `flip3-+` `pow-plus` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 88

Calls

4 calls:

2.0ms	(cbrt (+ x (* (* y 4.0) z)))
8.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
3.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
3.0ms	(cbrt (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ x (* (* y 4.0) z)))
46.0ms	(* (cbrt (- x (* (* y 4.0) z))) (cbrt (- x (* (* y 4.0) z))))
23.0ms	(- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z)))
36.0ms	(cbrt (- (* x x) (* (* (* y 4.0) z) (* (* y 4.0) z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	435	1188
1	1617	1103
2	5001	1038

prune242.0ms

Filtered

74 candidates to 100 candidates (-35.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	100	4	104

Merged error: 0b

Counts

104 → 4

regimes330.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

analyze229.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample353.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
6.0ms	271×	body	80	invalid

Details

analyze233.0ms

sample15.0ms

simplify8.0ms

prune3.0ms

localize5.0ms

rewrite3.0ms

series8.0ms

simplify53.0ms

prune23.0ms

localize12.0ms

rewrite17.0ms

series164.0ms

simplify140.0ms

prune212.0ms

localize15.0ms

rewrite57.0ms

series208.0ms

simplify98.0ms

prune1.0s

localize18.0ms

rewrite20.0ms

series140.0ms

simplify58.0ms

prune242.0ms

regimes330.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze229.0ms

sample353.0ms

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