Details

sample69.0ms

Algorithm

intervals

Results

42.0ms

261×

body

valid

simplify947.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	2001
5	1788
4	733
3	264
2	88
1	41
0	26

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) 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))

rewrite270.0ms

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×	`insert-posit16` `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 → 95

Calls

4 calls:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
31.0ms	(* (+ (* (+ y a) y) b) y)
45.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
126.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series640.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
45.0ms	(* (+ (* (+ y a) y) b) y)
68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
452.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	2001
3	2001
2	1947
1	529
0	199

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.0b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite462.0ms

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` `associate-*l/` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

40.0ms	(* (+ (* (+ y a) y) b) y)
81.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
152.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
185.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.5s

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ y a) y) b) y)
90.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
696.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
622.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.2s

Counts

171 → 171

Iterations

Iter	Nodes
done	2001
2	2001
1	749
0	279

prune4.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
0.8b	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
28.4b	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite810.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
20×	`div-exp`
18×	`associate-r`
17×	`prod-exp`
12×	`pow1`
10×	`rec-exp` `1-exp` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `associate-l` `associate-l/` `associate-/l`
5×	`cbrt-unprod`
4×	`frac-times` `associate-/r*` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `pow-flip`
2×	`clear-num` `frac-2neg` `associate-r/` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 143

Calls

4 calls:

68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
283.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
101.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
356.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
669.0ms	(/ 1 (* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))
191.0ms	(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
572.0ms	(* (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify1.7s

Counts

155 → 155

Iterations

Iter	Nodes
done	2024
3	2024
2	1990
1	599
0	220

prune3.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 28.2b

localize82.0ms

Local error

Found 4 expressions with local error:

25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
25.1b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
28.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite590.0ms

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` `insert-posit16` `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 → 74

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
13.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
540.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
199.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
180.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
452.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	2003
3	2003
2	999
1	313
0	129

prune1.9s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 28.2b

regimes2.0s

Accuracy

0% (1.0b remaining)

Error of 29.0b against oracle of 28.0b and baseline of 29.0b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	47
1	47
0	29

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.6s

8235×

body

valid