Details

sample31.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

52.0ms

(/ (+ x 1.0) (- 1.0 x))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify3.3s

Counts

48 → 48

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	91	630
1	206	607
2	539	569
3	1208	560
4	3098	560
done	5000	556

prune101.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(sqrt (+ x 1.0))
0.1b	(/ (sqrt (+ x 1.0)) (- 1.0 x))
0.1b	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
94×	`add-sqr-sqrt`
74×	`times-frac`
61×	`sqrt-prod`
46×	`add-cube-cbrt`
41×	`associate-r`
15×	`distribute-lft-out--` `difference-of-squares`
14×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-div`
8×	`pow1`
7×	`associate-l` `associate-/l*`
6×	`unswap-sqr`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`associate-/r/` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 167

Calls

4 calls:

15.0ms	(sqrt (+ x 1.0))
18.0ms	(sqrt (+ x 1.0))
47.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
114.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (+ x 1.0))
61.0ms	(sqrt (+ x 1.0))
137.0ms	(/ (sqrt (+ x 1.0)) (- 1.0 x))
49.0ms	(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))

simplify4.5s

Counts

179 → 179

Iterations

Useful iterations: 3 (2.4s)

Iter	Nodes	Cost
0	206	2737
1	473	2363
2	1433	2188
3	4674	2132
done	5001	2132

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* 1.0 x))
4.2b	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
14.0b	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite375.0ms

Algorithm

rewrite-expression-head

Rules

286×	`add-sqr-sqrt`
257×	`*-un-lft-identity`
201×	`times-frac`
144×	`difference-of-squares`
108×	`unpow-prod-down` `cube-prod`
106×	`associate-l`
72×	`sqr-pow`
65×	`add-cube-cbrt`
51×	`distribute-lft-out`
45×	`distribute-lft-out--`
25×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`difference-cubes`
5×	`pow1` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-r`
2×	`cbrt-undiv` `frac-times` `flip3--` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-rgt-out` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative`

Counts

3 → 288

Calls

3 calls:

16.0ms	(+ (* x x) (* 1.0 x))
91.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
222.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series247.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* x x) (* 1.0 x))
61.0ms	(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
114.0ms	(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify2.4s

Counts

297 → 297

Iterations

Useful iterations: 2 (1.1s)

Iter	Nodes	Cost
0	313	6997
1	1055	6288
2	4093	6090
done	5001	6090

prune889.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

end0.0ms

sample534.0ms

Algorithm

intervals

Results

336.0ms

8000×

body

valid