Details

Time bar (total: 4.8s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify1.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (251.0ms)

IterNodesCost
093646
1216616
2663584
32765573
done5000573

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
158×times-frac
140×*-un-lft-identity
100×add-sqr-sqrt
68×add-cube-cbrt
26×associate-/r*
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
12×add-exp-log
9×associate-/r/
7×div-exp
6×add-cbrt-cube
5×div-inv
4×flip3-+ flip-+
3×cbrt-undiv associate-/l*
2×pow1 rec-exp 1-exp
1×expm1-log1p-u pow-flip frac-2neg clear-num log1p-expm1-u inv-pow add-log-exp
Counts
1 → 130
Calls
1 calls:
14.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify1.1s

Counts
133 → 133
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02092422
15132077
219251766
done50001764

prune106.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 252
Calls
4 calls:
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
60.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
136.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
136.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
154.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify580.0ms

Counts
264 → 264
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
02275724
14175309
215175153
done50015153

prune510.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample214.0ms

Algorithm
intervals
Results
127.0ms8000×body80valid