Details

Time bar (total: 13.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1682
done682

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize7.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(/ 1.0 (* x x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ 1.0 (* x x))

simplify799.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
0454311
11123658
26163498
done50013498

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
add-cbrt-cube add-exp-log
div-inv
cbrt-undiv associate-/r* div-exp
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 72
Calls
1 calls:
16.0ms
(/ (/ 1.0 x) x)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (/ 1.0 x) x)

simplify1.3s

Counts
75 → 75
Iterations

Useful iterations: 2 (357.0ms)

IterNodesCost
014220530
134318783
2163718022
done500018022

prune350.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×*-un-lft-identity add-cube-cbrt
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
76.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
9.0ms
(cbrt (/ (/ 1.0 x) x))
9.0ms
(cbrt (/ (/ 1.0 x) x))
13.0ms
(cbrt (/ (/ 1.0 x) x))

series1.3s

Counts
4 → 12
Calls
4 calls:
414.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
327.0ms
(cbrt (/ (/ 1.0 x) x))
288.0ms
(cbrt (/ (/ 1.0 x) x))
316.0ms
(cbrt (/ (/ 1.0 x) x))

simplify2.5s

Counts
351 → 351
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0388166072
1660154664
22905151064
done5000150144

prune2.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))
18.9b
(cbrt (/ (/ 1.0 x) x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
264×times-frac
172×cbrt-prod
144×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×div-inv
expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 216
Calls
4 calls:
8.0ms
(cbrt (/ (/ 1.0 x) x))
7.0ms
(cbrt (/ (/ 1.0 x) x))
9.0ms
(cbrt (/ (/ 1.0 x) x))
9.0ms
(cbrt (/ (/ 1.0 x) x))

series1.3s

Counts
4 → 12
Calls
4 calls:
298.0ms
(cbrt (/ (/ 1.0 x) x))
347.0ms
(cbrt (/ (/ 1.0 x) x))
362.0ms
(cbrt (/ (/ 1.0 x) x))
339.0ms
(cbrt (/ (/ 1.0 x) x))

simplify1.1s

Counts
228 → 228
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0192106300
133197504
2107995424
done500094624

prune1.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
done482

end0.0ms

sample468.0ms

Algorithm
intervals
Results
300.0ms10702×body80valid