Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	253×	body	80	nan

simplify68.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
6	119
5	111
4	85
3	62
2	39
1	21
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

23.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
17.0ms	(* 6.0 (- x 1.0))
40.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series207.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
61.0ms	(* 6.0 (- x 1.0))
93.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1780
1	389
0	134

prune357.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))
0.1b	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite161.0ms

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-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `sum-log`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

3 → 154

Calls

3 calls:

24.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
72.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
58.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
98.0ms	(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.5s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3743
1	723
0	265

prune735.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 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 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
0.1b	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`sum-log` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `associate-+l+` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 257

Calls

4 calls:

23.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
134.0ms	(* 6.0 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
52.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (+ x 1.0) (* 4.0 (sqrt x)))
95.0ms	(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
114.0ms	(* 6.0 (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
103.0ms	(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.0s

Counts

269 → 269

Iterations

Iter	Nodes
done	5000
1	992
0	338

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
5.3b	(/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0)))))
8.4b	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
14.7b	(* (/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

48×	`frac-add`
42×	`frac-times`
41×	`flip3-+` `flip-+`
30×	`associate-*r/`
26×	`flip3--` `flip--`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-*l/`
11×	`add-sqr-sqrt` `add-log-exp`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`pow1` `times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r/`
3×	`associate-/r` `associate-r*`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `sum-log` `sub-neg` `distribute-lft-in` `diff-log` `div-inv` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `distribute-rgt-out--` `pow-prod-down` `-commutative` `associate-/l` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

46.0ms	(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
239.0ms	(/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0)))))
105.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
902.0ms	(* (/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
138.0ms	(/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0)))))
117.0ms	(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
252.0ms	(* (/ (* (- x 1.0) 6.0) (+ (* (+ 1.0 x) (* (+ 1.0 x) (+ 1.0 x))) (* 4.0 (* (* x 4.0) (* (sqrt x) 4.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify2.2s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
1	1549
0	330

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

625.0ms	7946×	body	80	nan
523.0ms	8000×	body	80	valid