Details

sample44.0ms

Algorithm

intervals

Results

21.0ms

260×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4646
6	3199
5	1788
4	733
3	264
2	88
1	41
0	26

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
30.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite324.0ms

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:

30.0ms	(* (+ (* x y) z) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
102.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
136.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series809.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (+ (* x y) z) y)
82.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
128.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
536.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1916
1	516
0	196

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.1b

localize167.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

34.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
34.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
23.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
231.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.5s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
224.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
206.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
890.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify3.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3559
2	930
1	338
0	138

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.7b

localize191.0ms

Local error

Found 4 expressions with local error:

19.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
19.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
19.1b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
25.2b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite478.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`frac-times` `pow1` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-l/` `prod-exp` `associate-r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

31.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
41.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
37.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
365.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series1.8s

Counts

4 → 12

Calls

4 calls:

401.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
390.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
382.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
588.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify3.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5006
2	1894
1	626
0	228

prune1.9s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.7b

localize607.0ms

Local error

Found 4 expressions with local error:

20.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
22.5b	(cbrt (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
26.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

38.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
139.0ms	(cbrt (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
211.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.6s

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
199.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
218.0ms	(cbrt (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
931.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify3.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5007
3	3915
2	994
1	379
0	168

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 28.7b

regimes1.5s

Accuracy

0% (2.1b remaining)

Error of 29.8b against oracle of 27.6b and baseline of 29.8b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	44
1	44
0	29

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

8244×

body

valid