Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

269×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	178	33
4	397	33
5	802	33
6	1173	33
7	1277	33
8	1616	33
9	2734	33
done	5000	33

prune5.0ms

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: 29.6b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
28.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
10.0ms	(* (+ (* (+ y a) y) b) y)
11.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series211.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
8.0ms	(* (+ (* (+ y a) y) b) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
159.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify892.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	197	2669
1	512	2621
2	1799	2377
done	5000	2377

prune260.0ms

Filtered

79 candidates to 103 candidates (-30.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	90	13	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	13	104

Merged error: 28.5b

Counts

104 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

4.3b	(+ (* y b) (pow y 3))
6.4b	(+ (* a (pow y 2)) (+ (* y b) (pow y 3)))
6.5b	(* a (pow y 2))
28.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* a (pow y 2)) (+ (* y b) (pow y 3))) c) y) i))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-log-exp`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `flip3-+` `sum-log` `flip-+` `unswap-sqr`
3×	`associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-/r/` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

6.0ms	(+ (* y b) (pow y 3))
10.0ms	(+ (* a (pow y 2)) (+ (* y b) (pow y 3)))
6.0ms	(* a (pow y 2))
30.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* a (pow y 2)) (+ (* y b) (pow y 3))) c) y) i))

series188.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* y b) (pow y 3))
15.0ms	(+ (* a (pow y 2)) (+ (* y b) (pow y 3)))
7.0ms	(* a (pow y 2))
160.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* a (pow y 2)) (+ (* y b) (pow y 3))) c) y) i))

simplify786.0ms

Counts

95 → 95

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	178	2496
1	463	2414
2	1491	2211
done	5002	2079

prune224.0ms

Filtered

69 candidates to 95 candidates (-37.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Merged error: 28.5b

Counts

108 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))
3.8b	(* (* y y) (+ y a))
4.2b	(+ (+ (* y b) c) (* (* y y) (+ y a)))
28.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-exp-log`
21×	`add-cube-cbrt`
20×	`times-frac`
19×	`associate-r`
16×	`add-cbrt-cube`
12×	`pow1`
10×	`flip3-+` `flip-+`
9×	`add-log-exp`
7×	`associate-*r/` `prod-exp`
5×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down` `frac-add` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `sum-log` `associate-/l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `rec-exp` `associate-+r+` `distribute-lft-in` `1-exp` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `associate-+l+` `pow-flip` `frac-2neg` `clear-num` `un-div-inv` `distribute-lft-out` `inv-pow`

Counts

4 → 118

Calls

4 calls:

13.0ms	(/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))
9.0ms	(* (* y y) (+ y a))
9.0ms	(+ (+ (* y b) c) (* (* y y) (+ y a)))
30.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))
6.0ms	(* (* y y) (+ y a))
15.0ms	(+ (+ (* y b) c) (* (* y y) (+ y a)))
156.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))

simplify1.3s

Counts

130 → 130

Iterations

Useful iterations: 2 (563.0ms)

Iter	Nodes	Cost
0	235	3824
1	689	3602
2	2679	3248
done	5000	3248

prune224.0ms

Filtered

81 candidates to 130 candidates (-60.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Merged error: 28.5b

Counts

142 → 13

localize32.0ms

Local error

Found 4 expressions with local error:

17.3b	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
17.3b	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
17.3b	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
24.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))) (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-*r/` `associate-/r/`
5×	`associate-*l/`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

13.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
12.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
12.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
50.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))) (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
64.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
60.0ms	(cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))
276.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i))) (cbrt (/ 1 (+ (* (+ (+ (* y b) c) (* (* y y) (+ y a))) y) i)))))

simplify653.0ms

Counts

114 → 114

Iterations

Useful iterations: done (648.0ms)

Iter	Nodes	Cost
0	199	5250
1	480	5070
2	1332	4586
done	5000	4141

prune235.0ms

Filtered

83 candidates to 114 candidates (-37.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	112	15	127

Merged error: 28.5b

Counts

127 → 15

regimes1.6s

Accuracy

0% (1.6b remaining)

Error of 29.9b against oracle of 28.3b and baseline of 29.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	80
1	51	80
done	51	80

end0.0ms

sample1.5s

Algorithm

intervals

Results

750.0ms

8235×

body

valid

Details

sample52.0ms

simplify3.2s

prune5.0ms

localize23.0ms

rewrite72.0ms

series211.0ms

simplify892.0ms

prune260.0ms

localize30.0ms

rewrite55.0ms

series188.0ms

simplify786.0ms

prune224.0ms

localize26.0ms

rewrite68.0ms

series203.0ms

simplify1.3s

prune224.0ms

localize32.0ms

rewrite91.0ms

series463.0ms

simplify653.0ms

prune235.0ms

regimes1.6s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.5s

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