Details

sample86.0ms

Algorithm

intervals

Results

40.0ms

263×

body

valid

simplify2.6s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize63.0ms

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) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
27.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite359.0ms

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:

94.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
45.0ms	(* (+ (* (+ y a) y) b) y)
162.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series595.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
58.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
45.0ms	(* (+ (* (+ y a) y) b) y)
395.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify894.0ms

Counts: 103 → 103

prune698.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 27.7b

localize62.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.2b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.7b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite572.0ms

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:

71.0ms	(* (+ (* (+ y a) y) b) y)
74.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
69.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
352.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series657.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ (* (+ y a) y) b) y)
67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
63.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
479.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify954.0ms

Counts: 127 → 127

prune719.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.7b

localize65.0ms

Local error

Found 4 expressions with local error:

13.9b	(* (* (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ 1 (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (sqrt 1) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
17.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
17.7b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
42×	`associate-r`
36×	`times-frac`
34×	`prod-exp`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
27×	`cbrt-prod`
25×	`div-exp`
18×	`sqrt-prod` `cbrt-unprod`
13×	`cbrt-undiv`
9×	`pow1`
8×	`cbrt-div`
6×	`frac-times` `associate-*l/`
4×	`rec-exp` `flip3-+` `1-exp` `flip-+` `add-log-exp`
3×	`pow1/3` `associate-*r/` `pow-prod-down`
2×	`associate-/r/` `un-div-inv`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 129

Calls

4 calls:

516.0ms	(* (* (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ 1 (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (sqrt 1) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
33.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
49.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

483.0ms	(* (* (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))) (/ 1 (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))) (/ (sqrt 1) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
164.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
159.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
195.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify2.0s

Counts: 141 → 141

prune938.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.7b

localize34.0ms

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)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.8b	(/ (* 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

104.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
50.0ms	(* (+ (* (+ y a) y) b) y)
79.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
177.0ms	(/ (* 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series739.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
56.0ms	(* (+ (* (+ y a) y) b) y)
67.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
504.0ms	(/ (* 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.2s

Counts: 98 → 98

prune536.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 27.7b

regimes1.0s

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.3b and baseline of 29.3b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s

8221×

body

valid