Details

Time bar (total: 11.2s)

sample28.0ms

Algorithm
intervals
Results
10.0ms241×body80valid
2.0msbody1280valid
0.0msbody2560valid
0.0msbody640valid
0.0msbody160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1108
2118
done118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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 flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
36.0ms
(+ x (/ (fabs (- y x)) 2.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify1.8s

Counts
20 → 20
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
033213
189204
2232185
3630185
41852185
done5001185

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite20.0ms

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:
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (cbrt x) (cbrt x))
256.0ms
(cbrt x)
262.0ms
(cbrt x)
305.0ms
(cbrt x)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune360.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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) (cbrt x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×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 → 50
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt x)
276.0ms
(cbrt x)
247.0ms
(cbrt x)
439.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.3s

Counts
62 → 62
Iterations

Useful iterations: 3 (166.0ms)

IterNodesCost
046323
189310
2238260
3790248
42733248
done5001248

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
4.4b
(pow (* (cbrt x) (cbrt x)) 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
cbrt-prod pow-pow pow1/3
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
pow-prod-down pow-exp pow-sqr pow-prod-up
pow2 pow-to-exp unpow-prod-down pow-plus unpow1/3 prod-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
14.0ms
(pow (* (cbrt x) (cbrt x)) 1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
372.0ms
(cbrt x)
307.0ms
(cbrt x)
568.0ms
(pow (* (cbrt x) (cbrt x)) 1/3)

simplify966.0ms

Counts
78 → 78
Iterations

Useful iterations: 3 (417.0ms)

IterNodesCost
071447
1191326
2597313
32045297
done5000297

prune311.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.0b 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
078
188
done88

end0.0ms

sample659.0ms

Algorithm
intervals
Results
346.0ms7665×body80valid
19.0ms128×body1280valid
10.0ms90×body640valid
8.0ms42×body2560valid
4.0ms46×body320valid
2.0ms30×body160valid