Details

Time bar (total: 8.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms330×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1147
2226
3266
done266

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
3.4b
(* x (+ 1.0 (* y y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
fma-def associate-*r* associate-*l*
expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
7.0ms
(* x (+ 1.0 (* y y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ 1.0 (* y y))
54.0ms
(* x (+ 1.0 (* y y)))

simplify1.0s

Counts
46 → 46
Iterations

Useful iterations: 3 (234.0ms)

IterNodesCost
063399
1175386
2529299
31779298
done5000298

prune105.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* y y) x))
8.7b
(* (* 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)

series83.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* x 1.0) (* (* y y) x))
17.0ms
(* (* y y) x)

simplify2.3s

Counts
41 → 41
Iterations

Useful iterations: 3 (752.0ms)

IterNodesCost
065399
1181360
2687304
33150283
done5001283

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* y x) y))
0.2b
(* (* y x) y)

rewrite10.0ms

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-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* y x) y))
7.0ms
(* (* y x) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (* y x) y))
22.0ms
(* (* y x) y)

simplify2.3s

Counts
40 → 40
Iterations

Useful iterations: 3 (601.0ms)

IterNodesCost
065391
1180352
2653302
32821280
done5001280

prune72.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y x) y)) (cbrt (* (* y x) y)))
22.9b
(cbrt (* (* y x) y))
22.9b
(cbrt (* (* y x) y))
22.9b
(cbrt (* (* y x) y))

rewrite27.0ms

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 x) y)) (cbrt (* (* y x) y)))
5.0ms
(cbrt (* (* y x) y))
5.0ms
(cbrt (* (* y x) y))
7.0ms
(cbrt (* (* y x) y))

series368.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (* (* y x) y)) (cbrt (* (* y x) y)))
86.0ms
(cbrt (* (* y x) y))
85.0ms
(cbrt (* (* y x) y))
87.0ms
(cbrt (* (* y x) y))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: 4 (822.0ms)

IterNodesCost
090916
1207827
2498732
31247629
42906607
done5001607

prune204.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes89.0ms

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
079
1119
done119

end0.0ms

sample345.0ms

Algorithm
intervals
Results
185.0ms10662×body80valid