Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

262×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	178	33
4	397	33
5	800	33
6	1096	33
7	1196	33
8	1545	33
9	2669	33
done	5000	33

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.8b

localize22.0ms

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	(* (+ (* (+ y a) y) b) y)
31.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite122.0ms

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:

19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
18.0ms	(* (+ (* (+ y a) y) b) y)
50.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series484.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
79.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
36.0ms	(* (+ (* (+ y a) y) b) y)
318.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify894.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	197	2669
1	512	2621
2	1793	2377
done	5000	2377

prune476.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.7b

localize28.0ms

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)
0.7b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
31.0b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite177.0ms

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:

33.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
17.0ms	(* (+ (* (+ y a) y) b) y)
24.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
100.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
54.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
322.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.0s

Counts

127 → 127

Iterations

Useful iterations: 2 (281.0ms)

Iter	Nodes	Cost
0	210	3521
1	562	3359
2	1935	2987
done	5000	2987

prune513.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 30.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
31.2b	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite183.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
180.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series990.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
173.0ms	(cbrt y)
176.0ms	(cbrt y)
467.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.8s

Counts

76 → 76

Iterations

Useful iterations: 3 (566.0ms)

Iter	Nodes	Cost
0	113	2109
1	259	2086
2	793	1740
3	3436	1591
done	5000	1591

prune386.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 30.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
0.5b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)))))
31.1b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`flip3-+` `div-exp` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `inv-pow`

Counts

4 → 157

Calls

4 calls:

17.0ms	(* (+ (* (+ y a) y) b) y)
31.0ms	(* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
19.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)))))
32.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))))

series969.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
410.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)))))
471.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ t (* y (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))))

simplify1.1s

Counts

169 → 169

Iterations

Useful iterations: 2 (384.0ms)

Iter	Nodes	Cost
0	282	7338
1	707	7068
2	2196	6515
done	5000	6515

prune562.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 30.7b

regimes487.0ms

Accuracy

0% (1.1b remaining)

Error of 30.0b against oracle of 28.9b and baseline of 30.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample904.0ms

Algorithm

intervals

Results

545.0ms

8233×

body

valid