Details

Time bar (total: 15.7s)

sample20.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize12.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (+ 1.0 (* y y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
19.0ms
(* x (+ 1.0 (* y y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune77.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.1b

localize12.0ms

Local error

Found 1 expressions with local error:

7.8b
(* (* y y) x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
23.0ms
(* (* y y) x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (* y y) x)

simplify4.1s

Counts
24 → 24
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
039177
189172
2288142
3637142
4919142
52318142
done5000142

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (* y x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
19.0ms
(* y (* y x))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* y (* y x))

simplify3.6s

Counts
23 → 23
Iterations

Useful iterations: 5 (1.7s)

IterNodesCost
035166
186163
2275133
3449133
4673133
51887132
done5000132

prune92.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
19.8b
(cbrt (* y (* y x)))
19.8b
(cbrt (* y (* y x)))
19.8b
(cbrt (* y (* y x)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
61.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
15.0ms
(cbrt (* y (* y x)))
13.0ms
(cbrt (* y (* y x)))
14.0ms
(cbrt (* y (* y x)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
160.0ms
(cbrt (* y (* y x)))
129.0ms
(cbrt (* y (* y x)))
133.0ms
(cbrt (* y (* y x)))

simplify3.4s

Counts
78 → 78
Iterations

Useful iterations: done (3.4s)

IterNodesCost
090916
1208827
2526732
31192629
43062607
done5001555

prune374.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes79.0ms

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
079
1119
done119

end0.0ms

sample937.0ms

Algorithm
intervals
Results
433.0ms10727×body80valid