Details

Time bar (total: 8.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms345×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
067
1147
2226
3266
done266

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
associate-*r/
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:
7.0ms
(* x (+ 1.0 (* y y)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* x (+ 1.0 (* y y)))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
052263
1147256
2462199
31572199
done5002199

prune70.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* y y) x))
11.2b
(* (* y y) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* y y) x))
8.0ms
(* (* y y) x)

series79.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (* y y) x))
16.0ms
(* (* y y) x)

simplify2.2s

Counts
41 → 41
Iterations

Useful iterations: 3 (962.0ms)

IterNodesCost
065399
1181360
2687304
33146283
done5000283

prune90.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (pow (* y (* y x)) 1))
0.1b
(* y (* y x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
4.0ms
(+ (* x 1.0) (pow (* y (* y x)) 1))
6.0ms
(* y (* y x))

series78.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x 1.0) (pow (* y (* y x)) 1))
16.0ms
(* y (* y x))

simplify1.7s

Counts
40 → 40
Iterations

Useful iterations: 3 (546.0ms)

IterNodesCost
065428
1183348
2670295
32773274
done5000274

prune100.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
22.8b
(cbrt (* y (* y x)))
22.8b
(cbrt (* y (* y x)))
22.8b
(cbrt (* y (* y x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
4.0ms
(cbrt (* y (* y x)))
4.0ms
(cbrt (* y (* y x)))
5.0ms
(cbrt (* y (* y x)))

series359.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
84.0ms
(cbrt (* y (* y x)))
83.0ms
(cbrt (* y (* y x)))
85.0ms
(cbrt (* y (* y x)))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: 4 (912.0ms)

IterNodesCost
090916
1208827
2502732
31258629
42938607
done5000607

prune234.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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: 1 (1.0ms)

IterNodesCost
0911
1159
done159

end0.0ms

sample377.0ms

Algorithm
intervals
Results
206.0ms10754×body80valid