Details

sample97.0ms

Algorithm

intervals

Results

36.0ms

265×

body

valid

simplify2.9s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.6b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite448.0ms

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:

61.0ms	(* (+ (* (+ y a) y) b) y)
104.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
75.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
202.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series820.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* (+ y a) y) b) y)
109.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
90.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
570.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.1s

Counts: 103 → 103

prune750.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
27.0b	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite597.0ms

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)
593.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series1.6s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
294.0ms	(cbrt y)
278.0ms	(cbrt y)
710.0ms	(/ (+ (* (+ (* (* (+ (* (+ (* x y) z) y) 27464.7644705) (* (cbrt y) (cbrt y))) (cbrt y)) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify1.7s

Counts: 76 → 76

prune622.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 26.7b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b	(+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y)))
0.6b	(* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))
27.0b	(/ (+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite636.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
30×	`times-frac`
20×	`distribute-neg-frac`
15×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+`
12×	`associate-*l/`
11×	`pow1` `add-log-exp`
10×	`associate-/r*`
8×	`frac-add`
7×	`distribute-lft-neg-out`
6×	`associate-/l/`
5×	`neg-mul-1`
4×	`associate-r` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod`
3×	`div-sub` `associate-/l*`
2×	`neg-sub0` `associate-+l-` `distribute-neg-out` `unsub-neg` `neg-log` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `distribute-neg-in` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 138

Calls

4 calls:

107.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
66.0ms	(+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y)))
156.0ms	(* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))
298.0ms	(/ (+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series861.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
169.0ms	(+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y)))
103.0ms	(* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))
469.0ms	(/ (+ (- (+ t (* 230661.510616 y))) (* (- (+ (* (+ (* x y) z) y) 27464.7644705)) (* y y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.7s

Counts: 150 → 150

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 26.7b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.6b	(* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y))
5.4b	(/ (- (+ t (* 230661.510616 y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
28.3b	(/ (* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y)) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite486.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
82×	`add-sqr-sqrt`
79×	`add-cube-cbrt` `*-un-lft-identity`
72×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`neg-mul-1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/r*`
11×	`pow1` `associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3-+` `associate-l` `associate-*l/` `flip-+` `distribute-neg-frac`
4×	`cbrt-undiv` `div-exp` `associate-r` `pow-prod-down` `associate-/r/` `associate-/l/` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `div-inv` `unswap-sqr`
1×	`neg-sub0` `div-sub` `distribute-frac-neg`

Counts

4 → 220

Calls

4 calls:

98.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
69.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y))
118.0ms	(/ (- (+ t (* 230661.510616 y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
180.0ms	(/ (* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y)) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
97.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y))
229.0ms	(/ (- (+ t (* 230661.510616 y))) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))
351.0ms	(/ (* (+ (* (+ (* x y) z) y) 27464.7644705) (* y y)) (- (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify1.8s

Counts: 232 → 232

prune1.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 26.7b

regimes845.0ms

Accuracy

0% (1.0b remaining)

Error of 29.2b against oracle of 28.2b and baseline of 29.2b

bsearch0.0ms

simplify1.2s

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.9s

8245×

body

valid