Details

Time bar (total: 11.0s)

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))

rewrite16.0ms

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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify2.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (313.0ms)

IterNodesCost
093646
1215616
2562584
31443573
43995573
done5001573

prune87.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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:
64.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series587.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
143.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
142.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
139.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify2.2s

Counts
264 → 264
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02275724
14135299
211875153
336314820
done50014814

prune560.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (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)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
104×cbrt-prod
80×times-frac
78×add-sqr-sqrt
46×add-cube-cbrt
30×log-pow
29×exp-prod
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
8×associate-/r/
5×pow1
4×add-exp-log expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-div log-prod pow1/3
1×rem-log-exp
Counts
4 → 154
Calls
4 calls:
29.0ms
(log (exp (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)))
6.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
145.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
140.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
137.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify1.1s

Counts
166 → 166
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01822694
12902450
26082341
316762289
done50012281

prune435.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 x))
28.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series54.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (- 1.0 x))
32.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify2.1s

Counts
101 → 101
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01521150
1476957
21281865
33244848
done5001848

prune136.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
11328
done1328

end0.0ms

sample209.0ms

Algorithm
intervals
Results
126.0ms8000×body80valid