Details

sample60.0ms

Algorithm

intervals

Results

27.0ms

339×

body

valid

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
0.2b	(* (* a 27.0) b)
0.2b	(* (* y 9.0) z)
6.7b	(* (* (* y 9.0) z) t)

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `*-commutative`
2×	`associate-+l+` `sum-log`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 72

Calls

4 calls:

46.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
28.0ms	(* (* a 27.0) b)
25.0ms	(* (* y 9.0) z)
82.0ms	(* (* (* y 9.0) z) t)

series284.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(+ (- (* x 2.0) (* (* (* y 9.0) z) t)) (* (* a 27.0) b))
25.0ms	(* (* a 27.0) b)
24.0ms	(* (* y 9.0) z)
38.0ms	(* (* (* y 9.0) z) t)

simplify1.0s

Counts: 84 → 84

prune310.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
0.2b	(* 27.0 (* a b))
0.2b	(* 9.0 (* t (* z y)))
6.6b	(* t (* z y))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `*-commutative`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 71

Calls

4 calls:

75.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
24.0ms	(* 27.0 (* a b))
68.0ms	(* 9.0 (* t (* z y)))
24.0ms	(* t (* z y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(- (+ (* 2.0 x) (* 27.0 (* a b))) (* 9.0 (* t (* z y))))
29.0ms	(* 27.0 (* a b))
44.0ms	(* 9.0 (* t (* z y)))
37.0ms	(* t (* z y))

simplify642.0ms

Counts: 83 → 83

prune219.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* a b))
0.2b	(* 9.0 (* t (* z y)))
0.3b	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
6.6b	(* t (* z y))

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 84

Calls

4 calls:

36.0ms	(* (sqrt 27.0) (* a b))
57.0ms	(* 9.0 (* t (* z y)))
407.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
21.0ms	(* t (* z y))

series234.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (sqrt 27.0) (* a b))
32.0ms	(* 9.0 (* t (* z y)))
108.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* a b)))
41.0ms	(* t (* z y))

simplify652.0ms

Counts: 96 → 96

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt 27.0) (* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b))))
0.4b	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b)))
0.4b	(* (sqrt (sqrt 27.0)) (* a b))
6.6b	(* t (* z y))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-l`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`sqrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 96

Calls

4 calls:

192.0ms	(* (sqrt 27.0) (* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b))))
81.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b)))
28.0ms	(* (sqrt (sqrt 27.0)) (* a b))
24.0ms	(* t (* z y))

series306.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (sqrt 27.0) (* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b))))
68.0ms	(* (sqrt (sqrt 27.0)) (* (sqrt (sqrt 27.0)) (* a b)))
100.0ms	(* (sqrt (sqrt 27.0)) (* a b))
37.0ms	(* t (* z y))

simplify681.0ms

Counts: 108 → 108

prune391.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes869.0ms

Accuracy

-2.9% (3.6b remaining)

Error of 3.7b against oracle of 0.0b and baseline of 3.6b

bsearch203.0ms

Steps

Iters	Range		Point
9	2.928274836805744e-51	1.342490115522787e-44	5.718628013402842e-49
7	-8.7709278408963e+83	-9.366134813797034e+81	-1.0630870322617426e+83

simplify620.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

846.0ms

11066×

body

valid