Details

Time bar (total: 21.7s)

sample18.0ms

Algorithm
intervals
Results
6.0ms232×body80valid
1.0msbody1280valid
1.0msbody2560valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3297
4407
5947
62067
74867
812727
943247
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
23.0ms
(+ x (/ (- x y) 2.0))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(+ x (/ (- x y) 2.0))

simplify3.4s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
036194
198186
2269172
3872172
44342171
done5000171

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (cbrt x) (cbrt x))
288.0ms
(cbrt x)
358.0ms
(cbrt x)
376.0ms
(cbrt x)

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
065554
1143443
2719423
done5000409

prune352.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))

series1.4s

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt x)
351.0ms
(cbrt x)
262.0ms
(cbrt x)
439.0ms
(cbrt (cbrt x))

simplify2.2s

Counts
67 → 67
Iterations

Useful iterations: 3 (164.0ms)

IterNodesCost
046329
182312
2193286
3658274
42659274
done5000274

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
2.0ms
(cbrt x)
3.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))
3.0ms
(cbrt (cbrt x))

series1.5s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
419.0ms
(cbrt (cbrt x))
430.0ms
(cbrt (cbrt x))
413.0ms
(cbrt (cbrt x))

simplify2.1s

Counts
73 → 73
Iterations

Useful iterations: 3 (155.0ms)

IterNodesCost
046419
182400
2193370
3658358
42659358
done5000358

prune346.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample724.0ms

Algorithm
intervals
Results
348.0ms7396×body80valid
32.0ms219×body1280valid
19.0ms161×body640valid
16.0ms92×body2560valid
7.0ms84×body320valid
3.0ms49×body160valid