Details

sample47.0ms

Algorithm

intervals

Results

23.0ms

294×

body

valid

simplify257.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `associate-+l+` `diff-log` `div-exp` `sum-log`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `associate-l/` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

16.0ms	(/ (* y z) 2.0)
20.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
105.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

series195.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (* y z) 2.0)
78.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))
89.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)

simplify430.0ms

Counts: 59 → 59

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.5 (* z y))
0.0b	(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

17.0ms	(* 0.5 (* z y))
34.0ms	(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* 0.5 (* z y))
66.0ms	(- (+ t (* 0.125 x)) (* 0.5 (* z y)))

simplify1.5s

Counts: 38 → 38

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ t (* 0.125 x)) (* (sqrt 0.5) (* (sqrt 0.5) (* z y))))
0.3b	(* (sqrt 0.5) (* z y))
0.5b	(* (sqrt 0.5) (* (sqrt 0.5) (* z y)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

54.0ms	(- (+ t (* 0.125 x)) (* (sqrt 0.5) (* (sqrt 0.5) (* z y))))
22.0ms	(* (sqrt 0.5) (* z y))
62.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* z y)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(- (+ t (* 0.125 x)) (* (sqrt 0.5) (* (sqrt 0.5) (* z y))))
49.0ms	(* (sqrt 0.5) (* z y))
89.0ms	(* (sqrt 0.5) (* (sqrt 0.5) (* z y)))

simplify480.0ms

Counts: 68 → 68

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
0.3b	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
2.2b	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
27.5b	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite706.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
38×	`associate-*l/`
24×	`times-frac`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`frac-sub`
15×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
11×	`pow1` `associate-/l/`
8×	`add-log-exp`
7×	`swap-sqr` `associate-r` `associate-l`
5×	`div-inv` `difference-of-squares`
4×	`associate-/l*`
3×	`associate-/r*` `associate-/r/`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`+-commutative` `pow2` `associate-+l-` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `frac-add` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `distribute-lft-out` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

403.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
32.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
68.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
194.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) t)
49.0ms	(* (/ (* y z) 2.0) (/ (* y z) 2.0))
138.0ms	(- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0)))
152.0ms	(/ (- (* (* (/ 1.0 8.0) x) (* (/ 1.0 8.0) x)) (* (/ (* y z) 2.0) (/ (* y z) 2.0))) (+ (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify1.7s

Counts: 149 → 149

prune514.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify369.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

594.0ms	9091×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid