Details

analyze1.6s

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

sample64.0ms

Algorithm

intervals

Results

19.0ms	233×	body	80	invalid
15.0ms	256×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	175	19
1	175	19

prune16.0ms

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: 1.6b

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))))
1.5b	(* (+ a (* b c)) i)
3.5b	(* c (* (+ a (* b c)) i))

rewrite22.0ms

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

series404.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* z t) (* c (* (+ a (* b c)) i)))
330.0ms	(+ (* x y) (- (* z t) (* c (* (+ a (* b c)) i))))
13.0ms	(* (+ a (* b c)) i)
16.0ms	(* c (* (+ a (* b c)) i))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5853	1007

prune140.0ms

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: 1.4b

Counts

79 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
2.4b	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
3.3b	(* (+ a (* c b)) (* i (cbrt c)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1` `add-exp-log`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`associate-l` `associate-*l/` `add-log-exp`
2×	`flip3-+` `pow1/3` `associate-r/` `associate-r` `-commutative` `flip-+`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
13.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
7.0ms	(* (+ a (* c b)) (* i (cbrt c)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt c)
21.0ms	(cbrt c)
21.0ms	(* (* (cbrt c) (cbrt c)) (* (+ a (* c b)) (* i (cbrt c))))
52.0ms	(* (+ a (* c b)) (* i (cbrt c)))

simplify77.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4906	687
1	4906	687

prune117.0ms

Filtered

50 candidates to 84 candidates (-68.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 1.4b

Counts

94 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
1.7b	(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
3.5b	(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
8.0ms	(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
16.0ms	(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt i)
24.0ms	(cbrt i)
46.0ms	(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
19.0ms	(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	647
1	4958	647

prune122.0ms

Filtered

53 candidates to 81 candidates (-52.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	80	11	91

Merged error: 1.4b

Counts

91 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (+ a (* c b)) i)
3.5b	(* c (* (+ a (* c b)) i))
3.5b	(* c (* (+ a (* c b)) i))
3.5b	(* c (* (+ a (* c b)) i))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (+ a (* c b)) i)
6.0ms	(* c (* (+ a (* c b)) i))
8.0ms	(* c (* (+ a (* c b)) i))
6.0ms	(* c (* (+ a (* c b)) i))

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (+ a (* c b)) i)
13.0ms	(* c (* (+ a (* c b)) i))
13.0ms	(* c (* (+ a (* c b)) i))
13.0ms	(* c (* (+ a (* c b)) i))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5096	869

prune85.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	92	11	103

Merged error: 1.4b

Counts

103 → 11

regimes2.3s

Accuracy

75.8% (0.8b remaining)

Error of 1.7b against oracle of 0.9b and baseline of 4.0b

bsearch7.3s

Steps

Iters	Range		Point
7	3.012428335285098e+105	3.713007693102393e+107	3.199258599779804e+105
9	-6.553287770906435e-22	-4.6618056111737505e-31	-1.1955248445951819e-27

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	47
1	44	47

end0.0ms

analyze1.6s

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

sample1.7s

Algorithm

intervals

Results

498.0ms	8000×	body	80	valid
445.0ms	7241×	body	80	invalid

Details

analyze1.6s

sample64.0ms

simplify6.0ms

prune16.0ms

localize15.0ms

rewrite22.0ms

series404.0ms

simplify44.0ms

prune140.0ms

localize20.0ms

rewrite24.0ms

series115.0ms

simplify77.0ms

prune117.0ms

localize19.0ms

rewrite28.0ms

series110.0ms

simplify68.0ms

prune122.0ms

localize20.0ms

rewrite28.0ms

series52.0ms

simplify45.0ms

prune85.0ms

regimes2.3s

bsearch7.3s

simplify1.0ms

end0.0ms

analyze1.6s

sample1.7s

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