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	256×	body	80	valid
13.0ms	225×	body	80	invalid

simplify165.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	5068	19

prune17.0ms

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

localize15.0ms

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)
4.5b	(* c (* (+ a (* b c)) i))

rewrite26.0ms

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)))
9.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
5.0ms	(* (+ a (* b c)) i)
6.0ms	(* c (* (+ a (* b c)) i))

series388.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
322.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
12.0ms	(* (+ a (* b c)) i)
13.0ms	(* c (* (+ a (* b c)) i))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	1007
1	4932	1007

prune144.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	69	10	79

Merged error: 0.5b

Counts

79 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

4.5b	(* c (* (* (cbrt (* (+ a (* c b)) i)) (cbrt (* (+ a (* c b)) i))) (cbrt (* (+ a (* c b)) i))))
7.2b	(cbrt (* (+ a (* c b)) i))
7.2b	(cbrt (* (+ a (* c b)) i))
7.2b	(cbrt (* (+ a (* c b)) i))

rewrite31.0ms

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))

series146.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* c (* (* (cbrt (* (+ a (* c b)) i)) (cbrt (* (+ a (* c b)) i))) (cbrt (* (+ a (* c b)) i))))
42.0ms	(cbrt (* (+ a (* c b)) i))
41.0ms	(cbrt (* (+ a (* c b)) i))
44.0ms	(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

66 candidates to 92 candidates (-39.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	93	9	102

Merged error: 0.5b

Counts

102 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (+ a (* c b)) i)
1.1b	(* (+ a (* c b)) i)
7.2b	(cbrt (* (+ a (* c b)) i))
7.2b	(cbrt (* (+ a (* c b)) i))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l/` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`cbrt-div` `flip3-+` `flip-+` `add-log-exp`
2×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

5.0ms	(* (+ a (* c b)) i)
5.0ms	(* (+ a (* c b)) i)
4.0ms	(cbrt (* (+ a (* c b)) i))
4.0ms	(cbrt (* (+ a (* c b)) i))

series111.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (+ a (* c b)) i)
12.0ms	(* (+ a (* c b)) i)
41.0ms	(cbrt (* (+ a (* c b)) i))
44.0ms	(cbrt (* (+ a (* c b)) i))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5512	720

prune150.0ms

Filtered

58 candidates to 74 candidates (-27.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.5b

Counts

83 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ a (* c b)))
1.5b	(cbrt (+ a (* c b)))
7.2b	(cbrt (* (* (cbrt (+ a (* c b))) (cbrt (+ a (* c b)))) (* i (cbrt (+ a (* c b))))))
7.2b	(cbrt (* (+ a (* c b)) i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-*r/`
16×	`associate-*l/`
8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (+ a (* c b)))
3.0ms	(cbrt (+ a (* c b)))
14.0ms	(cbrt (* (* (cbrt (+ a (* c b))) (cbrt (+ a (* c b)))) (* i (cbrt (+ a (* c b))))))
4.0ms	(cbrt (* (+ a (* c b)) i))

series143.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (+ a (* c b)))
27.0ms	(cbrt (+ a (* c b)))
46.0ms	(cbrt (* (* (cbrt (+ a (* c b))) (cbrt (+ a (* c b)))) (* i (cbrt (+ a (* c b))))))
42.0ms	(cbrt (* (+ a (* c b)) i))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5610	1951

prune122.0ms

Filtered

57 candidates to 84 candidates (-47.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Merged error: 0.5b

Counts

94 → 10

regimes2.3s

Accuracy

80.9% (0.8b remaining)

Error of 1.7b against oracle of 0.9b and baseline of 5.3b

bsearch76.0ms

Steps

Iters	Range		Point
9	9.594449752180065e-100	2.421419053851248e-92	7.834458098323896e-93
10	-3.153112253641899e-33	-2.17938506015646e-46	-3.7048220371515083e-34

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	134	47
1	134	47

end0.0ms

sample1.7s

Algorithm

intervals

Results

522.0ms	8000×	body	80	valid
434.0ms	7099×	body	80	invalid

Details

analyze1.7s

sample62.0ms

simplify165.0ms

prune17.0ms

localize15.0ms

rewrite26.0ms

series388.0ms

simplify61.0ms

prune144.0ms

localize19.0ms

rewrite31.0ms

series146.0ms

simplify49.0ms

prune162.0ms

localize19.0ms

rewrite20.0ms

series111.0ms

simplify61.0ms

prune150.0ms

localize31.0ms

rewrite28.0ms

series143.0ms

simplify59.0ms

prune122.0ms

regimes2.3s

bsearch76.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling