Details

sample58.0ms

Algorithm

intervals

Results

32.0ms

260×

body

valid

simplify4.2s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
28.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite323.0ms

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:

54.0ms	(* (+ (* (+ y a) y) b) y)
68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(* (+ (* x y) z) y)
169.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series721.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ (* (+ y a) y) b) y)
68.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* 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))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	193	2457
1	508	2417
2	1858	2183
done	5000	2179

prune679.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 27.5b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite593.0ms

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:

82.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms	(* (+ (* x y) z) y)
84.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
390.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms	(* (+ (* x y) z) y)
108.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
482.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	205	3359
1	542	3185
2	1912	2843
done	5000	2839

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.5b

localize69.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.6b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
28.3b	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log` `*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`add-cbrt-cube`
8×	`associate-*l/`
6×	`pow1` `cbrt-div` `flip3-+` `flip-+`
4×	`prod-exp` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l` `unswap-sqr`
2×	`frac-times` `div-exp` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 75

Calls

4 calls:

19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
39.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
20.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
1.5s	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series1.6s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
250.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
342.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
730.0ms	(* (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.0s

Counts

87 → 87

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	199	4322
1	521	4209
2	1590	2554
done	5001	2339

prune846.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 27.5b

localize84.0ms

Local error

Found 4 expressions with local error:

17.4b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.4b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
22.7b	(/ (* (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))))

rewrite524.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

53.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
54.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
382.0ms	(/ (* (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))))

series4.9s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
195.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
217.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
4.3s	(/ (* (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))))

simplify3.1s

Counts

88 → 88

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	144	4558
1	384	4369
2	1041	3765
3	3540	3471
done	5000	3460

prune817.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 27.5b

regimes938.0ms

Accuracy

0% (1.1b remaining)

Error of 28.6b against oracle of 27.5b and baseline of 28.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	35
1	46	35
done	46	35

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.1s

8221×

body

valid