Details

Time bar (total: 10.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms238×body80valid
1.0msbody1280valid
0.0msbody320valid
0.0msbody640valid
0.0msbody160valid
0.0msbody2560valid

simplify149.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2197
3297
4397
5507
6787
71277
81477
91657
101777
111897
done1897

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
13.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(+ x (/ (- x y) 2.0))

simplify976.0ms

Counts
21 → 21
Iterations

Useful iterations: 4 (268.0ms)

IterNodesCost
036194
198186
2234172
3698172
42771171
done5000171

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite10.0ms

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:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series819.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt x) (cbrt x))
198.0ms
(cbrt x)
199.0ms
(cbrt x)
195.0ms
(cbrt x)

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: 3 (318.0ms)

IterNodesCost
065554
1122495
2449423
31993405
done5001405

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 52
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series763.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
187.0ms
(cbrt x)
197.0ms
(cbrt x)
188.0ms
(cbrt x)

simplify2.2s

Counts
64 → 64
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
026284
144268
288244
3203232
4612232
53258232
done5001232

prune242.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (* (cbrt (* x x)) (pow (cbrt -1) 2)) (cbrt x) (/ (- x y) 2.0))
0.6b
(cbrt x)
33.1b
(cbrt (* x x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
fma-udef
Counts
3 → 34
Calls
3 calls:
0.0ms
(fma (* (cbrt (* x x)) (pow (cbrt -1) 2)) (cbrt x) (/ (- x y) 2.0))
1.0ms
(cbrt x)
2.0ms
(cbrt (* x x))

series502.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(fma (* (cbrt (* x x)) (pow (cbrt -1) 2)) (cbrt x) (/ (- x y) 2.0))
199.0ms
(cbrt x)
197.0ms
(cbrt (* x x))

simplify2.7s

Counts
43 → 43
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
070411
1126403
2289353
3879347
44114347
done5000347

prune158.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

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
067
177
done77

end0.0ms

sample326.0ms

Algorithm
intervals
Results
147.0ms7420×body80valid
17.0ms206×body1280valid
10.0ms159×body640valid
8.0ms79×body2560valid
4.0ms87×body320valid
2.0ms53×body160valid