Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

sample34.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	101×	body	80	invalid

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	(* a (* 27.0 b))
0.2b	(* 9.0 (* z t))
5.5b	(* y (* 9.0 (* z t)))

rewrite26.0ms

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 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
4.0ms	(* a (* 27.0 b))
5.0ms	(* 9.0 (* z t))
10.0ms	(* y (* 9.0 (* z t)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* a (* 27.0 b)) (* y (* 9.0 (* z t))))
3.0ms	(* a (* 27.0 b))
3.0ms	(* 9.0 (* z t))
6.0ms	(* y (* 9.0 (* z t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5359	674

prune119.0ms

Filtered

45 candidates to 80 candidates (-77.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize15.0ms

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))
5.5b	(* y (* (* 9.0 z) t))

rewrite22.0ms

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 → 68

Calls

4 calls:

5.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
5.0ms	(* (* 9.0 z) t)
4.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

series31.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* a (* 27.0 b)) (* y (* (* 9.0 z) t)))
3.0ms	(* (* 9.0 z) t)
3.0ms	(* a (* 27.0 b))
6.0ms	(* y (* (* 9.0 z) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5208	677

prune117.0ms

Filtered

47 candidates to 80 candidates (-70.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y (* 9.0 z)) t)))
0.2b	(* y (* 9.0 z))
0.2b	(* a (* 27.0 b))
6.5b	(* (* y (* 9.0 z)) t)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x 2.0) (- (* a (* 27.0 b)) (* (* y (* 9.0 z)) t)))
3.0ms	(* y (* 9.0 z))
3.0ms	(* a (* 27.0 b))
6.0ms	(* (* y (* 9.0 z)) t)

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5037	773

prune105.0ms

Filtered

49 candidates to 83 candidates (-69.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.8b	(* (* y (* 9.0 (* z (* (cbrt t) (cbrt t))))) (cbrt t))
3.6b	(* y (* 9.0 (* z (* (cbrt t) (cbrt t)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1` `add-exp-log`
29×	`add-cbrt-cube`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
14.0ms	(* (* y (* 9.0 (* z (* (cbrt t) (cbrt t))))) (cbrt t))
11.0ms	(* y (* 9.0 (* z (* (cbrt t) (cbrt t)))))

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
24.0ms	(cbrt t)
10.0ms	(* (* y (* 9.0 (* z (* (cbrt t) (cbrt t))))) (cbrt t))
28.0ms	(* y (* 9.0 (* z (* (cbrt t) (cbrt t)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5021	647

prune78.0ms

Filtered

50 candidates to 88 candidates (-76.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

regimes1.6s

Accuracy

73.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	136	47
1	136	47

end0.0ms

sample995.0ms

Algorithm

intervals

Results

446.0ms	8000×	body	80	valid
158.0ms	2963×	body	80	invalid

Details

analyze1.4s

sample34.0ms

simplify32.0ms

prune14.0ms

localize12.0ms

rewrite26.0ms

series31.0ms

simplify40.0ms

prune119.0ms

localize15.0ms

rewrite22.0ms

series31.0ms

simplify45.0ms

prune117.0ms

localize12.0ms

rewrite26.0ms

series47.0ms

simplify41.0ms

prune105.0ms

localize20.0ms

rewrite29.0ms

series83.0ms

simplify55.0ms

prune78.0ms

regimes1.6s

bsearch1.0ms

simplify2.0ms

end0.0ms

sample995.0ms

Profiling