Details

sample58.0ms

Algorithm

intervals

Results

36.0ms

260×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize89.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite415.0ms

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:

80.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
105.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
168.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series666.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
106.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
73.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
391.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.8s

Counts

107 → 107

Iterations

Iter	Nodes
done	5003
2	1909
1	524
0	200

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
25.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite486.0ms

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` `insert-posit16` `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 → 119

Calls

4 calls:

78.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
46.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
64.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
296.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
61.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
366.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5006
2	2083
1	579
0	213

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
25.5b	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite452.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`times-frac`
8×	`pow1/3` `add-exp-log`
6×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up` `flip-+` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(* (cbrt y) (cbrt y))
430.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt y)
216.0ms	(cbrt y)
359.0ms	(* (cbrt y) (cbrt y))
629.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1143
1	361
0	153

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.0b

localize104.0ms

Local error

Found 4 expressions with local error:

14.6b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
14.6b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
14.6b	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
25.5b	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite634.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

51.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
39.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
49.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
493.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
270.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
295.0ms	(cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))
718.0ms	(/ (+ (* (* (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) (cbrt (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.9s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	3914
2	1074
1	389
0	159

prune1.1s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 25.0b

regimes1.6s

Accuracy

0% (0.8b remaining)

Error of 28.3b against oracle of 27.6b and baseline of 28.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	46
1	46
0	28

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s

8219×

body

valid