Details

analyze119.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5108	11

prune8.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
33×	`times-frac`
28×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
22×	`associate-r`
19×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r` `associate-/r/` `flip-+` `associate-/l`
3×	`associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 93

Calls

3 calls:

6.0ms	(+ (/ x y) 1.0)
12.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
14.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series14.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+ (/ x y) 1.0)
5.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
6.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5406	1226

prune147.0ms

Filtered

65 candidates to 102 candidates (-56.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt x) (cbrt x))
20.0ms	(cbrt x)
20.0ms	(cbrt x)
20.0ms	(cbrt x)

simplify38.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5084	341

prune90.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
4.9b	(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
34×	`associate-r`
30×	`cbrt-div`
28×	`cbrt-prod` `times-frac`
25×	`add-exp-log`
23×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-*r/`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3-+` `flip-+`
14×	`distribute-lft-out`
13×	`pow1`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 117

Calls

4 calls:

6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))
31.0ms	(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

series108.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (+ (/ x y) 1.0))
32.0ms	(cbrt (+ (/ x y) 1.0))
35.0ms	(cbrt (+ (/ x y) 1.0))
7.0ms	(* (* x (* (cbrt (+ (/ x y) 1.0)) (cbrt (+ (/ x y) 1.0)))) (/ (cbrt (+ (/ x y) 1.0)) (+ x 1.0)))

simplify87.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5048	2074

prune225.0ms

Filtered

83 candidates to 129 candidates (-55.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	128	9	137

Merged error: 0.0b

Counts

137 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) 1.0)
0.1b	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
4.0b	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
6.5b	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-sqr-sqrt`
27×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`distribute-lft-out` `difference-of-squares`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-*r/` `add-log-exp`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r` `associate-/r/` `flip--` `associate-/l`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `sub-neg` `flip3-+` `*-commutative` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `sum-log` `distribute-lft-out--`

Counts

4 → 122

Calls

4 calls:

6.0ms	(+ (/ x y) 1.0)
16.0ms	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
11.0ms	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
16.0ms	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (/ x y) 1.0)
9.0ms	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
7.0ms	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
11.0ms	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4997	2118
1	4997	2118

prune157.0ms

Filtered

92 candidates to 134 candidates (-45.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	134	9	143

Merged error: 0b

Counts

143 → 9

regimes139.0ms

Accuracy

96.6% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 6.6b

bsearch90.0ms

Steps

Iters	Range		Point
9	654028990940.2433	2.337172164506063e+18	2676405038669891.0
8	-5.911140126043202e+26	-4.2823220265794405e+23	-4.34426230244492e+23

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	44
1	28	44

end0.0ms

analyze112.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample397.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
10.0ms	308×	body	80	invalid

Details

analyze119.0ms

sample16.0ms

simplify91.0ms

prune8.0ms

localize6.0ms

rewrite36.0ms

series14.0ms

simplify59.0ms

prune147.0ms

localize12.0ms

rewrite10.0ms

series88.0ms

simplify38.0ms

prune90.0ms

localize12.0ms

rewrite54.0ms

series108.0ms

simplify87.0ms

prune225.0ms

localize10.0ms

rewrite52.0ms

series29.0ms

simplify50.0ms

prune157.0ms

regimes139.0ms

bsearch90.0ms

simplify1.0ms

end0.0ms

analyze112.0ms

sample397.0ms

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