Details

sample71.0ms

Algorithm

intervals

Results

33.0ms

261×

body

valid

simplify2.7s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
32.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite375.0ms

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:

26.0ms	(* (+ (* x y) z) y)
102.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
67.0ms	(* (+ (* (+ y a) y) b) y)
177.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series622.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (* x y) z) y)
88.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
55.0ms	(* (+ (* (+ y a) y) b) y)
440.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify902.0ms

Counts: 103 → 103

prune636.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 31.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ y a) y) b) y)
32.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite519.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log` `*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-cbrt-cube`
12×	`pow1` `associate-l`
11×	`times-frac`
8×	`associate-*l/`
7×	`prod-exp`
6×	`flip3-+` `flip-+` `unswap-sqr`
5×	`cbrt-unprod`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`frac-times` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 102

Calls

4 calls:

44.0ms	(* (+ (* x y) z) y)
80.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
46.0ms	(* (+ (* (+ y a) y) b) y)
344.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ (* x y) z) y)
94.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
59.0ms	(* (+ (* (+ y a) y) b) y)
453.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.2s

Counts: 114 → 114

prune770.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 31.8b

localize71.0ms

Local error

Found 4 expressions with local error:

3.1b	(cbrt (* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
32.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
32.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
32.1b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`associate-r`
33×	`times-frac`
31×	`add-exp-log` `*-un-lft-identity`
28×	`add-cube-cbrt`
19×	`add-cbrt-cube`
12×	`prod-exp`
11×	`flip3-+` `flip-+`
10×	`pow1`
9×	`associate-l` `unswap-sqr`
8×	`frac-times` `associate-*l/`
6×	`cbrt-div` `div-exp` `associate-/r/` `cbrt-unprod`
4×	`associate-*r/` `un-div-inv` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 141

Calls

4 calls:

125.0ms	(cbrt (* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
387.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
367.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
379.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series2.6s

Counts

4 → 12

Calls

4 calls:

1.1s	(cbrt (* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))
558.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
534.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
499.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify890.0ms

Counts: 153 → 153

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 31.8b

localize46.0ms

Local error

Found 4 expressions with local error:

7.5b	(+ (* (pow y 2) b) (pow y 4))
7.8b	(* (pow y 2) b)
11.1b	(+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4)))
31.8b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4))) i))

rewrite578.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-log-exp`
8×	`associate-l` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `flip3-+` `associate-/r*` `sum-log` `flip-+` `distribute-lft-out` `unswap-sqr`
3×	`associate-r` `prod-exp` `associate-/l*`
2×	`+-commutative` `associate-/r/` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r+` `frac-2neg` `div-exp` `pow-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 86

Calls

4 calls:

24.0ms	(+ (* (pow y 2) b) (pow y 4))
24.0ms	(* (pow y 2) b)
63.0ms	(+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4)))
461.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4))) i))

series603.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* (pow y 2) b) (pow y 4))
20.0ms	(* (pow y 2) b)
79.0ms	(+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4)))
445.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (+ (* a (pow y 3)) (+ (* (pow y 2) b) (pow y 4))) i))

simplify1.0s

Counts: 98 → 98

prune721.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 31.8b

regimes763.0ms

Accuracy

0% (1.0b remaining)

Error of 28.9b against oracle of 28.0b and baseline of 28.9b

bsearch0.0ms

simplify3.0s

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s

8254×

body

valid