Details

sample44.0ms

Algorithm

intervals

Results

23.0ms

262×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	254	33
4	623	33
5	1355	33
6	1672	33
7	1766	33
8	2056	33
9	2982	33
done	5001	33

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
28.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite333.0ms

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:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
112.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
26.0ms	(* (+ (* x y) z) y)
142.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series770.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
110.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
54.0ms	(* (+ (* x y) z) y)
528.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.3s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	195	2617
1	499	2555
2	1782	2327
done	5000	2307

prune594.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.9b

localize28.0ms

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

rewrite552.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
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×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

126.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
42.0ms	(* (+ (* x y) z) y)
87.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
290.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
59.0ms	(* (+ (* x y) z) y)
97.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
540.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.2s

Counts

127 → 127

Iterations

Useful iterations: 2 (432.0ms)

Iter	Nodes	Cost
0	209	3469
1	551	3279
2	1930	2937
done	5000	2937

prune559.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.9b

localize37.0ms

Local error

Found 4 expressions with local error:

19.5b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
19.5b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
19.5b	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
28.5b	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite814.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
19.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
19.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
762.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.2s

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
232.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
257.0ms	(cbrt (+ (* (+ (* x y) z) y) 27464.7644705))
493.0ms	(/ (+ (* (+ (* (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) (cbrt (+ (* (+ (* x y) z) y) 27464.7644705))) (* (cbrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.6s

Counts

82 → 82

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	152	3571
1	373	3536
2	1088	2409
3	4183	2233
done	5001	2200

prune771.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 27.9b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
28.5b	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite670.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
666.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

339.0ms	(cbrt y)
291.0ms	(cbrt y)
293.0ms	(cbrt y)
726.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify3.1s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	113	2109
1	259	2086
2	841	1740
3	4062	1591
done	5001	1591

prune562.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 27.9b

regimes1.4s

Accuracy

8.6% (1.0b remaining)

Error of 29.2b against oracle of 28.3b and baseline of 29.3b

bsearch5.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	93
1	58	93
done	58	93

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s

8247×

body

valid