Details

sample102.0ms

Algorithm

intervals

Results

46.0ms

519×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	1815	29
1	1815	29

prune22.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.9b

Counts

2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
5.4b	(* (* (* (* x 18.0) y) z) t)
5.4b	(* (* (* x 18.0) y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
9.0ms	(* (* (* (* x 18.0) y) z) t)
7.0ms	(* (* (* x 18.0) y) z)

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 18.0) y)
3.0ms	(* (* j 27.0) k)
13.0ms	(* (* (* (* x 18.0) y) z) t)
6.0ms	(* (* (* x 18.0) y) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5551	678

prune162.0ms

Filtered

52 candidates to 93 candidates (-78.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.1b

Counts

95 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
1.7b	(* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z))
4.4b	(* x (* 18.0 (* y (* (cbrt z) (cbrt z)))))
5.4b	(* (* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z)) t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

65×	`pow1` `add-exp-log`
49×	`add-cbrt-cube`
46×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow1/3`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt z)
14.0ms	(* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z))
12.0ms	(* x (* 18.0 (* y (* (cbrt z) (cbrt z)))))
17.0ms	(* (* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z)) t)

series78.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
10.0ms	(* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z))
32.0ms	(* x (* 18.0 (* y (* (cbrt z) (cbrt z)))))
15.0ms	(* (* (* x (* 18.0 (* y (* (cbrt z) (cbrt z))))) (cbrt z)) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	912
1	4966	912

prune156.0ms

Filtered

53 candidates to 107 candidates (-101.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	105	10	115

Merged error: 0.1b

Counts

115 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
5.4b	(* (* (* (* x 18.0) y) z) t)
5.4b	(* (* (* x 18.0) y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
4.0ms	(* j (* 27.0 k))
11.0ms	(* (* (* (* x 18.0) y) z) t)
7.0ms	(* (* (* x 18.0) y) z)

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 18.0) y)
3.0ms	(* j (* 27.0 k))
11.0ms	(* (* (* (* x 18.0) y) z) t)
6.0ms	(* (* (* x 18.0) y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5357	677

prune152.0ms

Filtered

50 candidates to 93 candidates (-86.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	93	10	103

Merged error: 0.0b

Counts

103 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.4b	(* x (* 18.0 y))
5.4b	(* (* (* x (* 18.0 y)) z) t)
5.4b	(* (* x (* 18.0 y)) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* x (* 18.0 y))
9.0ms	(* (* (* x (* 18.0 y)) z) t)
7.0ms	(* (* x (* 18.0 y)) z)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* j 27.0) k)
3.0ms	(* x (* 18.0 y))
11.0ms	(* (* (* x (* 18.0 y)) z) t)
9.0ms	(* (* x (* 18.0 y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5352	679

prune88.0ms

Filtered

48 candidates to 93 candidates (-93.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

regimes2.4s

Accuracy

71.8% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 5.3b

bsearch105.0ms

Steps

Iters	Range		Point
8	1.356211378430869e-50	2.8424335901820414e-47	2.0207230847026874e-47
7	-1.1277922965713323e-10	-1.5217084616907172e-12	-1.2957490849948085e-11

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	76
1	78	76

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s

16373×

body

valid

Details

sample102.0ms

simplify51.0ms

prune22.0ms

localize21.0ms

rewrite28.0ms

series26.0ms

simplify47.0ms

prune162.0ms

localize27.0ms

rewrite48.0ms

series78.0ms

simplify61.0ms

prune156.0ms

localize22.0ms

rewrite30.0ms

series24.0ms

simplify48.0ms

prune152.0ms

localize22.0ms

rewrite28.0ms

series27.0ms

simplify48.0ms

prune88.0ms

regimes2.4s

bsearch105.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling