Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
6.0ms	198×	body	80	nan

simplify6.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.4b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*` `sum-log`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

22.0ms	(* 6.0 (- x 1.0))
35.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
49.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series166.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 6.0 (- x 1.0))
41.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
83.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify45.0ms

Counts: 73 → 73

prune154.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

33.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
85.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
51.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series192.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
74.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
81.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify76.0ms

Counts: 163 → 163

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (* 4.0 (sqrt x)) 3)
6.2b	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
10.8b	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
16.6b	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite872.0ms

Algorithm

rewrite-expression-head

Rules

48×	`frac-add`
42×	`frac-times`
41×	`flip3-+` `flip-+`
32×	`associate-*r/`
25×	`flip3--` `flip--`
21×	`add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
13×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`associate-l`
10×	`add-cube-cbrt` `times-frac`
9×	`pow1` `add-log-exp`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`pow-unpow` `associate-r` `sum-cubes` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `pow-pow` `distribute-lft-in` `pow-prod-down` `pow-exp` `sum-log` `div-inv` `associate-/l/` `rem-cube-cbrt`
1×	`+-commutative` `cube-mult` `pow-to-exp` `associate-+r-` `sub-neg` `unpow-prod-down` `frac-2neg` `diff-log` `unpow3` `cube-prod` `clear-num` `-commutative` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 153

Calls

4 calls:

8.0ms	(pow (* 4.0 (sqrt x)) 3)
97.0ms	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
113.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
645.0ms	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow (* 4.0 (sqrt x)) 3)
93.0ms	(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
79.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
183.0ms	(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify72.0ms

Counts: 165 → 165

prune695.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

691.0ms	8000×	body	80	valid
398.0ms	8006×	body	80	nan