Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

267×

body

valid

simplify3.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite267.0ms

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:

78.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
24.0ms	(* (+ (* x y) z) y)
47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
115.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series530.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
35.0ms	(* (+ (* x y) z) y)
59.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
352.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify960.0ms

Counts

103 → 103

Iterations

Useful iterations: done (955.0ms)

Iter	Nodes	Cost
0	195	2617
1	499	2555
2	1783	2327
done	5000	2307

prune466.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.4b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.8b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite303.0ms

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` `associate-*l/` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

25.0ms	(* (+ (* x y) z) y)
48.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
107.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
118.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ (* x y) z) y)
55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
461.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
533.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify1.2s

Counts

167 → 167

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	273	7144
1	657	6884
2	1982	6381
done	5001	6351

prune548.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
26.8b	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite346.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
342.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series988.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
189.0ms	(cbrt y)
180.0ms	(cbrt y)
439.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.4s

Counts

76 → 76

Iterations

Useful iterations: 3 (605.0ms)

Iter	Nodes	Cost
0	113	2109
1	259	2086
2	793	1740
3	3252	1591
done	5000	1591

prune398.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 26.5b

localize31.0ms

Local error

Found 4 expressions with local error:

17.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.6b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
23.6b	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ t (* (+ 230661.510616 (* y (+ (* y (+ (* x y) z)) 27464.7644705))) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite728.0ms

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:

27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
26.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
643.0ms	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ t (* (+ 230661.510616 (* y (+ (* y (+ (* x y) z)) 27464.7644705))) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series920.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
153.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
155.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
449.0ms	(* (/ 1 (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (+ t (* (+ 230661.510616 (* y (+ (* y (+ (* x y) z)) 27464.7644705))) y)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify1.1s

Counts

131 → 131

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	201	8152
1	576	7777
2	2055	6202
done	5000	5864

prune594.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 26.5b

regimes626.0ms

Accuracy

0% (1.0b remaining)

Error of 28.7b against oracle of 27.8b and baseline of 28.7b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample998.0ms

Algorithm

intervals

Results

516.0ms

8224×

body

valid