Details

sample81.0ms

Algorithm

intervals

Results

44.0ms

265×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2858
4	824
3	264
2	88
1	41
0	26

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

33.0ms	(* (+ (* (+ y a) y) b) y)
22.0ms	(* (+ (* x y) z) y)
63.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
162.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series714.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* x y) z) y)
75.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
517.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2868
1	526
0	194

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

41.0ms	(* (+ (* x y) z) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
88.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
277.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ (* x y) z) y)
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
86.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
503.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify5.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	4426
1	578
0	206

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.0b

localize98.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt (+ (* (+ y a) y) b))
16.9b	(cbrt (+ (* (+ y a) y) b))
16.9b	(cbrt (+ (* (+ y a) y) b))
31.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cbrt (+ (* (+ y a) y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))
391.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (+ (* (+ y a) y) b))
161.0ms	(cbrt (+ (* (+ y a) y) b))
177.0ms	(cbrt (+ (* (+ y a) y) b))
535.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify1.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	1372
1	341
0	137

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 31.0b

localize122.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ z (* x y)) y)
0.1b	(* y (+ (* (+ z (* x y)) y) 27464.7644705))
0.3b	(/ 1 (/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y))))
31.4b	(/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-flip` `inv-pow`

Counts

4 → 157

Calls

4 calls:

23.0ms	(* (+ z (* x y)) y)
34.0ms	(* y (+ (* (+ z (* x y)) y) 27464.7644705))
35.0ms	(/ 1 (/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y))))
46.0ms	(/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y)))

series1.8m

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ z (* x y)) y)
87.0ms	(* y (+ (* (+ z (* x y)) y) 27464.7644705))
1.7m	(/ 1 (/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y))))
991.0ms	(/ (+ i (* y (+ c (* (+ b (* (+ a y) y)) y)))) (+ t (* (+ (* y (+ (* (+ z (* x y)) y) 27464.7644705)) 230661.510616) y)))

simplify3.6s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	4922
1	786
0	278

prune2.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 31.0b

regimes2.2s

Accuracy

0% (1.2b remaining)

Error of 28.9b against oracle of 27.7b and baseline of 28.9b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	45
1	45
0	29

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s

8213×

body

valid