Details

sample93.0ms

Algorithm

intervals

Results

46.0ms

264×

body

valid

simplify3.9s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize78.0ms

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)
28.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite506.0ms

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:

56.0ms	(* (+ (* x y) z) y)
102.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
80.0ms	(* (+ (* (+ y a) y) b) y)
261.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series938.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* x y) z) y)
108.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
70.0ms	(* (+ (* (+ y a) y) b) y)
693.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.7s

Counts

103 → 103

Iterations

Useful iterations: 2 (703.0ms)

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

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
2.9b	(* (* y y) (+ a y))
3.5b	(+ (* y b) (* (* y y) (+ a y)))
28.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`times-frac`
7×	`associate-r`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-/l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 88

Calls

4 calls:

109.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
63.0ms	(* (* y y) (+ a y))
22.0ms	(+ (* y b) (* (* y y) (+ a y)))
264.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

series933.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
75.0ms	(* (* y y) (+ a y))
72.0ms	(+ (* y b) (* (* y y) (+ a y)))
687.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (+ (* y b) (* (* y y) (+ a y))) c) y) i))

simplify4.7s

Counts

100 → 100

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	190	2573
1	564	2507
2	3762	2163
done	5000	2159

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 28.2b

localize87.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* y (+ b (* y (+ a y))))
0.3b	(/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i))
28.3b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i)))

rewrite555.0ms

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-+` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`associate-r/` `pow-prod-down` `associate-/r` `-commutative` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 117

Calls

4 calls:

101.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* y (+ b (* y (+ a y))))
43.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i))
371.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i)))

series942.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(* y (+ b (* y (+ a y))))
107.0ms	(/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i))
660.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ c (* y (+ b (* y (+ a y)))))) i)))

simplify6.6s

Counts

129 → 129

Iterations

Useful iterations: 2 (1.4s)

Iter	Nodes	Cost
0	211	3443
1	645	3324
2	4975	2929
done	5001	2929

prune1.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 28.1b

localize124.0ms

Local error

Found 4 expressions with local error:

15.4b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
15.4b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
15.4b	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
24.8b	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

rewrite788.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

77.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
80.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
81.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
539.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

series2.0s

Counts

4 → 12

Calls

4 calls:

418.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
423.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
434.0ms	(cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
716.0ms	(/ (* (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))) (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (cbrt (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))))

simplify4.1s

Counts

127 → 127

Iterations

Useful iterations: 2 (926.0ms)

Iter	Nodes	Cost
0	228	8541
1	630	8378
2	4764	7757
done	5000	7757

prune1.8s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.1b

regimes1.8s

Accuracy

0% (1.0b remaining)

Error of 29.0b against oracle of 28.0b and baseline of 29.0b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	35
1	42	35
done	42	35

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.5s

8239×

body

valid