Details

sample81.0ms

Algorithm

intervals

Results

44.0ms

265×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize106.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite371.0ms

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:

87.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
37.0ms	(* (+ (* (+ y a) y) b) y)
84.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
161.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series823.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
72.0ms	(* (+ (* (+ y a) y) b) y)
102.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
512.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5004
2	1975
1	529
0	197

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.6b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite513.0ms

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:

56.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
63.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
338.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* (+ y a) y) b) y)
62.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
87.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
556.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify2.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5010
2	2146
1	586
0	207

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.4b

localize227.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
19.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
19.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.2b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

33.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
32.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
38.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
288.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series4.5s

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
186.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
201.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
3.9s	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* 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))))

simplify4.4s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	3529
2	1004
1	384
0	144

prune1.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 30.4b

localize147.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y))
6.4b	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
6.4b	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
17.3b	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite591.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

146.0ms	(* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y))
31.0ms	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
31.0ms	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
379.0ms	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y))
229.0ms	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
206.0ms	(sqrt (+ (* (+ (* x y) z) y) 27464.7644705))
499.0ms	(/ (+ (* (+ (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) (* (sqrt (+ (* (+ (* x y) z) y) 27464.7644705)) y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	1373
1	446
0	177

prune1.2s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 30.4b

regimes1.9s

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	46
1	46
0	28

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.7s

8234×

body

valid