Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	255×	body	80	valid
2.0ms	85×	body	80	nan
0.0ms	1×	body	1280	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 61

Calls

3 calls:

8.0ms	(sqrt (+ x 1.0))
31.0ms	(+ 1.0 (sqrt (+ x 1.0)))
64.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series348.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(sqrt (+ x 1.0))
66.0ms	(+ 1.0 (sqrt (+ x 1.0)))
228.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify2.7s

Counts

70 → 70

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	140	917
1	316	848
2	899	783
3	3660	775
done	5001	773

prune195.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
0.2b	(pow (sqrt (+ x 1.0)) 3)
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.3b	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
62×	`sqrt-div`
43×	`add-sqr-sqrt`
34×	`sqrt-prod`
32×	`flip3-+` `flip-+`
31×	`add-cube-cbrt`
28×	`associate-*r/` `distribute-lft-out`
27×	`times-frac`
23×	`unpow-prod-down` `cube-prod`
21×	`pow1`
16×	`frac-sub`
12×	`frac-times`
11×	`swap-sqr`
9×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*` `add-cbrt-cube`
8×	`associate-*l/`
7×	`associate-r` `associate-l`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`sum-cubes` `sub-div` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cube-div` `associate-/r/`
1×	`cbrt-undiv` `pow2` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `unpow3` `div-exp` `pow-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `sqrt-pow2` `flip--` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 184

Calls

4 calls:

63.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
18.0ms	(pow (sqrt (+ x 1.0)) 3)
29.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
122.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
86.0ms	(pow (sqrt (+ x 1.0)) 3)
105.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
291.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

simplify2.3s

Counts

196 → 196

Iterations

Useful iterations: 2 (673.0ms)

Iter	Nodes	Cost
0	313	4015
1	746	2931
2	2743	2700
done	5000	2700

prune729.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sqrt (+ x 1.0)) 3)
0.2b	(/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))
4.7b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.1b	(* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
56×	`times-frac`
50×	`sqrt-div`
44×	`add-sqr-sqrt`
37×	`add-cube-cbrt` `distribute-lft-out`
35×	`unpow-prod-down` `cube-prod`
33×	`associate-r`
27×	`flip3-+` `associate-*r/` `flip-+`
18×	`add-exp-log`
16×	`frac-sub`
12×	`add-cbrt-cube`
9×	`pow1` `associate-/r*`
8×	`frac-times` `sqrt-prod`
7×	`sum-cubes`
6×	`associate-*l/` `add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r/` `sub-div`
3×	`pow-unpow` `pow-pow` `associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `cube-div` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `pow-flip` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `clear-num` `un-div-inv` `*-commutative` `sqrt-pow2` `flip--` `inv-pow` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 182

Calls

4 calls:

18.0ms	(pow (sqrt (+ x 1.0)) 3)
150.0ms	(/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))
58.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
292.0ms	(* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))

series657.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(pow (sqrt (+ x 1.0)) 3)
195.0ms	(/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))
95.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
281.0ms	(* x (/ 1 (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))))

simplify1.9s

Counts

194 → 194

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	340	4221
1	869	3218
2	2825	2913
done	5000	2911

prune556.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
287×	`*-un-lft-identity`
190×	`sqrt-prod`
186×	`add-sqr-sqrt`
185×	`add-cube-cbrt`
51×	`distribute-lft-out`
34×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
9×	`div-inv`
6×	`add-log-exp`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `sqrt-div` `clear-num` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log` `associate-/r/`

Counts

4 → 293

Calls

4 calls:

7.0ms	(sqrt (+ x 1.0))
17.0ms	(+ 1.0 (sqrt (+ x 1.0)))
57.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
59.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ x 1.0))
72.0ms	(+ 1.0 (sqrt (+ x 1.0)))
200.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
175.0ms	(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify1.7s

Counts

305 → 305

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	376	6926
1	851	6226
2	2778	5759
done	5001	5669

prune601.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
done	8	8

end0.0ms

sample805.0ms

Algorithm

intervals

Results

390.0ms	7997×	body	80	valid
147.0ms	2731×	body	80	nan
1.0ms	3×	body	1280	valid