Details

sample67.0ms

Algorithm

intervals

Results

29.0ms

263×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
2	88	33
3	264	33
4	824	33
5	2916	33
done	5001	33

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
26.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite334.0ms

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:

38.0ms	(* (+ (* x y) z) y)
62.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
59.0ms	(* (+ (* (+ y a) y) b) y)
169.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series689.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* x y) z) y)
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
62.0ms	(* (+ (* (+ y a) y) b) y)
504.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: 2 (705.0ms)

Iter	Nodes	Cost
0	193	2457
1	526	2417
2	2851	2193
done	5001	2193

prune730.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.2b

localize43.0ms

Local error

Found 4 expressions with local error:

18.1b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
18.1b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
18.1b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
26.5b	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite591.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

21.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
35.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
32.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
501.0ms	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.5s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
270.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
284.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
659.0ms	(/ (+ (* (+ (* (* (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) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify671.0ms

Counts

76 → 76

Iterations

Useful iterations: done (666.0ms)

Iter	Nodes	Cost
0	167	3716
1	408	3693
2	1287	2372
done	5000	2179

prune746.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 26.2b

localize52.0ms

Local error

Found 4 expressions with local error:

25.6b	(cbrt (* (+ (* (+ y a) y) b) y))
25.6b	(cbrt (* (+ (* (+ y a) y) b) y))
25.6b	(cbrt (* (+ (* (+ y a) y) b) y))
26.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

16.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
15.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
15.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
372.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
130.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
129.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
596.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify675.0ms

Counts

76 → 76

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	126	3247
1	308	3227
2	1056	2105
done	5000	1939

prune593.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 26.2b

localize82.0ms

Local error

Found 4 expressions with local error:

16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
16.3b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
22.7b	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
43×	`add-sqr-sqrt`
33×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-r`
22×	`add-cube-cbrt`
21×	`cbrt-prod`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
10×	`flip3-+` `associate-/r/` `flip-+`
9×	`unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
5×	`frac-times`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

49.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
49.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
43.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
1.0s	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series1.4s

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
195.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
221.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
724.0ms	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify2.8s

Counts

131 → 131

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	201	8152
1	657	7825
2	4268	6864
done	5000	6826

prune1.0s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 26.2b

regimes1.0s

Accuracy

0% (1.0b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	41	33
done	41	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s

8242×

body

valid