Details

sample124.0ms

Algorithm

intervals

Results

85.0ms

271×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
30.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite269.0ms

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:

48.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
21.0ms	(* (+ (* x y) z) y)
145.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series677.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (+ (* (+ y a) y) b) y)
99.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms	(* (+ (* x y) z) y)
468.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify4.0s

Counts

107 → 107

Iterations

Iter	Nodes
3	7893
2	1871
1	527
0	199

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 29.5b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* x y) z) y)
0.8b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite500.0ms

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:

67.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
41.0ms	(* (+ (* x y) z) y)
72.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
316.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
45.0ms	(* (+ (* x y) z) y)
75.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
480.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify938.0ms

Counts

131 → 131

Iterations

Iter	Nodes
2	2114
1	582
0	212

prune2.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 29.5b

localize101.0ms

Local error

Found 4 expressions with local error:

23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
30.1b	(/ (+ (* (+ (* (+ (* (+ (* 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))

rewrite528.0ms

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:

21.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
14.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
12.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
479.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

series1.1s

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
196.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
225.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
456.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
3	4085
2	997
1	313
0	129

prune2.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 29.4b

localize148.0ms

Local error

Found 4 expressions with local error:

23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
23.3b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
30.1b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (* (cbrt (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c)))) (cbrt (cbrt (+ (* (+ (* (+ y a) y) b) y) c))))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite1.5s

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))
20.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
27.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
1.4s	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (* (cbrt (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c)))) (cbrt (cbrt (+ (* (+ (* (+ y a) y) b) y) c))))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series1.1s

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
224.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
182.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
473.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (* (cbrt (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c)))) (cbrt (cbrt (+ (* (+ (* (+ y a) y) b) y) c))))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify3.2s

Counts

86 → 86

Iterations

Iter	Nodes
3	5222
2	1049
1	320
0	131

prune2.7s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 29.4b

regimes2.0s

Accuracy

0% (0.8b remaining)

Error of 28.3b against oracle of 27.5b and baseline of 28.3b

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	46
1	46
0	28

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.9s

8237×

body

valid