Details

Time bar (total: 16.6s)

sample44.0ms

Algorithm
intervals
Results
12.0ms65×body640valid
11.0ms129×body80valid
6.0ms42×body320valid
2.0ms20×body160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
12.0ms
(/ 1.0 (+ x 1.0))
125.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series107.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1.0 (+ x 1.0))
68.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.9s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune176.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
5×add-sqr-sqrt
4×times-frac associate-/l*
3×add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-*l/ associate-/r/ associate-/l/ difference-of-squares
1×pow1 flip3-- frac-2neg flip3-+ sub0-neg div-sub distribute-frac-neg prod-exp clear-num associate-/r* flip-- cbrt-unprod flip-+ div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
30.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify3.4s

Counts
32 → 32
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
092516
1255450
2821376
34472376
done5001376

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
151×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
36×associate-/l*
31×distribute-lft-out
21×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 190
Calls
2 calls:
18.0ms
(/ (- (* 1.0 1.0)) (+ x 1.0))
38.0ms
(/ (/ (- (* 1.0 1.0)) (+ x 1.0)) x)

series93.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- (* 1.0 1.0)) (+ x 1.0))
53.0ms
(/ (/ (- (* 1.0 1.0)) (+ x 1.0)) x)

simplify1.9s

Counts
196 → 196
Iterations

Useful iterations: 2 (563.0ms)

IterNodesCost
02893381
16813177
219843071
done50013071

prune566.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))) (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
424×cbrt-prod
328×times-frac
279×*-un-lft-identity
237×add-sqr-sqrt
147×add-cube-cbrt
87×swap-sqr
69×associate-*r* associate-*l*
57×distribute-lft-out
32×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
25×unswap-sqr
16×add-exp-log
14×cbrt-div
11×pow1
8×associate-/r/ add-cbrt-cube
7×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 316
Calls
4 calls:
5.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
175.0ms
(* (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))) (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(cbrt (+ x 1.0))
139.0ms
(cbrt (+ x 1.0))
128.0ms
(cbrt (+ x 1.0))
240.0ms
(* (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))) (/ (cbrt (- (* 1.0 1.0))) (cbrt (+ x 1.0))))

simplify2.8s

Counts
328 → 328
Iterations

Useful iterations: done (2.8s)

IterNodesCost
04249404
112998820
239818341
done50007944

prune1.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21510
done1510

end0.0ms

sample916.0ms

Algorithm
intervals
Results
310.0ms1903×body640valid
234.0ms1268×body320valid
139.0ms4195×body80valid
41.0ms634×body160valid