Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample62.0ms

Algorithm

intervals

Results

15.0ms	266×	body	80	invalid
15.0ms	256×	body	80	valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (168.0ms)

Iter	Nodes	Cost
0	5068	19

prune21.0ms

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: 1.1b

Counts

2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) (* c (* (+ a (* b c)) i)))
0.0b	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
1.1b	(* (+ a (* b c)) i)
4.4b	(* c (* (+ a (* b c)) i))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

4.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
6.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
5.0ms	(* (+ a (* b c)) i)
6.0ms	(* c (* (+ a (* b c)) i))

series375.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
309.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
12.0ms	(* (+ a (* b c)) i)
13.0ms	(* c (* (+ a (* b c)) i))

simplify65.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4932	1007
1	4932	1007

prune148.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	11	79

Merged error: 0.5b

Counts

79 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* b c)))
1.5b	(cbrt (+ a (* c b)))
4.4b	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
52×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
22×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`associate-*l/`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt (+ a (* b c)))
2.0ms	(cbrt (+ a (* b c)))
3.0ms	(cbrt (+ a (* c b)))
20.0ms	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

series99.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (+ a (* b c)))
31.0ms	(cbrt (+ a (* b c)))
27.0ms	(cbrt (+ a (* c b)))
14.0ms	(* c (* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* i (cbrt (+ a (* c b))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4916	1546
1	4916	1546

prune190.0ms

Filtered

77 candidates to 104 candidates (-35.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	104	11	115

Merged error: 0.5b

Counts

115 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

4.4b	(* c (* (* (cbrt (* (+ a (* c b)) i)) (cbrt (* (+ a (* c b)) i))) (cbrt (* (+ a (* c b)) i))))
8.2b	(cbrt (* (+ a (* c b)) i))
8.2b	(cbrt (* (+ a (* c b)) i))
8.2b	(cbrt (* (+ a (* c b)) i))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

74×	`associate-*l/`
60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 80

Calls

4 calls:

15.0ms	(* c (* (* (cbrt (* (+ a (* c b)) i)) (cbrt (* (+ a (* c b)) i))) (cbrt (* (+ a (* c b)) i))))
4.0ms	(cbrt (* (+ a (* c b)) i))
4.0ms	(cbrt (* (+ a (* c b)) i))
4.0ms	(cbrt (* (+ a (* c b)) i))

series150.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* c (* (* (cbrt (* (+ a (* c b)) i)) (cbrt (* (+ a (* c b)) i))) (cbrt (* (+ a (* c b)) i))))
41.0ms	(cbrt (* (+ a (* c b)) i))
42.0ms	(cbrt (* (+ a (* c b)) i))
45.0ms	(cbrt (* (+ a (* c b)) i))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5034	1590

prune162.0ms

Filtered

67 candidates to 92 candidates (-37.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	92	11	103

Merged error: 0.5b

Counts

103 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt (+ a (* c b))) 2)
1.5b	(cbrt (+ a (* c b)))
1.5b	(cbrt (+ a (* c b)))
5.7b	(* (* c (pow (cbrt (+ a (* c b))) 2)) (* i (cbrt (+ a (* c b)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`prod-exp`
14×	`add-cbrt-cube`
10×	`pow1`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-unprod`
6×	`unpow-prod-down` `cbrt-div`
4×	`associate-*r/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `pow1/3` `pow-prod-down` `pow-exp` `flip-+`
2×	`pow-pow`
1×	`associate-r` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

4.0ms	(pow (cbrt (+ a (* c b))) 2)
2.0ms	(cbrt (+ a (* c b)))
3.0ms	(cbrt (+ a (* c b)))
12.0ms	(* (* c (pow (cbrt (+ a (* c b))) 2)) (* i (cbrt (+ a (* c b)))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (cbrt (+ a (* c b))) 2)
28.0ms	(cbrt (+ a (* c b)))
29.0ms	(cbrt (+ a (* c b)))
14.0ms	(* (* c (pow (cbrt (+ a (* c b))) 2)) (* i (cbrt (+ a (* c b)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5126	870

prune100.0ms

Filtered

56 candidates to 86 candidates (-53.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	5	3	8
Picked	1	0	1
Done	0	2	2
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

regimes1.9s

Accuracy

79.4% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 5.5b

bsearch119.0ms

Steps

Iters	Range		Point
10	732489.572122176	2.4679446255662016e+17	1063779.5953460033
12	-3.5479933184973005e+97	-8.160875352206092e+58	-8.239592311601601e+58

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	170	49
1	170	49

end0.0ms

sample1.6s

Algorithm

intervals

Results

504.0ms	8000×	body	80	valid
437.0ms	7176×	body	80	invalid

Details

analyze1.7s

sample62.0ms

simplify170.0ms

prune21.0ms

localize14.0ms

rewrite23.0ms

series375.0ms

simplify65.0ms

prune148.0ms

localize22.0ms

rewrite33.0ms

series99.0ms

simplify67.0ms

prune190.0ms

localize22.0ms

rewrite32.0ms

series150.0ms

simplify49.0ms

prune162.0ms

localize19.0ms

rewrite23.0ms

series105.0ms

simplify54.0ms

prune100.0ms

regimes1.9s

bsearch119.0ms

simplify3.0ms

end0.0ms

sample1.6s

Profiling