Details

Time bar (total: 5.3s)

sample21.0ms

Algorithm
intervals
Results
10.0ms334×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2207
3227
done227

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b
(* x (+ 1.0 (* y y)))

rewrite23.0ms

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 distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
22.0ms
(* x (+ 1.0 (* y y)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(* x (+ 1.0 (* y y)))

simplify467.0ms

Counts
25 → 25
Iterations

Useful iterations: done (466.0ms)

IterNodesCost
050247
1161244
2756208
done5000206

prune57.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
9.7b
(* (* y y) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
8.0ms
(+ (* 1.0 x) (* (* y y) x))
19.0ms
(* (* y y) x)

series112.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(+ (* 1.0 x) (* (* y y) x))
22.0ms
(* (* y y) x)

simplify770.0ms

Counts
37 → 37
Iterations

Useful iterations: done (769.0ms)

IterNodesCost
061372
1189318
21087278
done5000276

prune98.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
14.0ms
(+ (* 1.0 x) (* y (* y x)))
25.0ms
(* y (* y x))

series127.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(+ (* 1.0 x) (* y (* y x)))
27.0ms
(* y (* y x))

simplify792.0ms

Counts
35 → 35
Iterations

Useful iterations: done (791.0ms)

IterNodesCost
056356
1165336
2804272
done5001264

prune108.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
17.9b
(cbrt (* y (* y x)))
17.9b
(cbrt (* y (* y x)))
17.9b
(cbrt (* y (* y x)))

rewrite64.0ms

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×swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 58
Calls
4 calls:
26.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
10.0ms
(cbrt (* y (* y x)))
11.0ms
(cbrt (* y (* y x)))
15.0ms
(cbrt (* y (* y x)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
137.0ms
(cbrt (* y (* y x)))
100.0ms
(cbrt (* y (* y x)))
102.0ms
(cbrt (* y (* y x)))

simplify536.0ms

Counts
70 → 70
Iterations

Useful iterations: done (534.0ms)

IterNodesCost
086846
1218763
2742668
done5000604

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes111.0ms

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

sample1.1s

Algorithm
intervals
Results
720.0ms10675×body80valid