Details

sample47.0ms

Algorithm

intervals

Results

17.0ms

352×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	838	17
1	838	17

prune14.0ms

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: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
0.2b	(* 9.0 (* z t))
0.2b	(* a (* 27.0 b))
6.0b	(* y (* 9.0 (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
3×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
5.0ms	(* 9.0 (* z t))
5.0ms	(* a (* 27.0 b))
7.0ms	(* y (* 9.0 (* z t)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
3.0ms	(* 9.0 (* z t))
3.0ms	(* a (* 27.0 b))
7.0ms	(* y (* 9.0 (* z t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5359	682

prune122.0ms

Filtered

45 candidates to 81 candidates (-80.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
0.2b	(* a (* 27.0 b))
0.2b	(* (* 9.0 z) t)
6.0b	(* y (* (* 9.0 z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 69

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
5.0ms	(* a (* 27.0 b))
5.0ms	(* (* 9.0 z) t)
6.0ms	(* y (* (* 9.0 z) t))

series35.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
3.0ms	(* a (* 27.0 b))
3.0ms	(* (* 9.0 z) t)
7.0ms	(* y (* (* 9.0 z) t))

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5208	685

prune107.0ms

Filtered

47 candidates to 81 candidates (-72.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
6.0b	(* y (* 9.0 (* z t)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
6.0ms	(* y (* 9.0 (* z t)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt a)
23.0ms	(cbrt a)
22.0ms	(cbrt a)
6.0ms	(* y (* 9.0 (* z t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5357	329

prune99.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	65	9	74

Merged error: 0.0b

Counts

74 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
0.2b	(* a (* 27.0 b))
6.3b	(* (* y 9.0) (* z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l`
2×	`sub-neg` `associate-+r+` `diff-log` `associate-r` `sum-log` `*-commutative`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 67

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
7.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
4.0ms	(* a (* 27.0 b))
6.0ms	(* (* y 9.0) (* z t))

series67.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* a (* 27.0 b)) (* (* y 9.0) (* z t)))
37.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y 9.0) (* z t))))
3.0ms	(* a (* 27.0 b))
7.0ms	(* (* y 9.0) (* z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	927

prune74.0ms

Filtered

47 candidates to 79 candidates (-68.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

regimes1.6s

Accuracy

87% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 3.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	182	74
1	182	74

end0.0ms

sample1.2s

Algorithm

intervals

Results

521.0ms

11058×

body

valid

Details

sample47.0ms

simplify32.0ms

prune14.0ms

localize12.0ms

rewrite23.0ms

series35.0ms

simplify39.0ms

prune122.0ms

localize12.0ms

rewrite23.0ms

series35.0ms

simplify55.0ms

prune107.0ms

localize16.0ms

rewrite11.0ms

series73.0ms

simplify47.0ms

prune99.0ms

localize12.0ms

rewrite25.0ms

series67.0ms

simplify47.0ms

prune74.0ms

regimes1.6s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.2s

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