Details

Time bar (total: 13.2s)

sample27.0ms

Algorithm
intervals
Results
11.0ms341×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
067
1147
2236
3276
done276

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.5b
(* x (+ 1.0 (* y y)))

rewrite24.0ms

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:
23.0ms
(* x (+ 1.0 (* y y)))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(* x (+ 1.0 (* y y)))

simplify1.8s

Counts
27 → 27
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
052263
1147256
2478199
31717199
done5000199

prune62.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
9.4b
(* (* y y) x)

rewrite34.0ms

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 distribute-rgt-out fma-def flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ (* 1.0 x) (* (* y y) x))
19.0ms
(* (* y y) x)

series115.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(+ (* 1.0 x) (* (* y y) x))
25.0ms
(* (* y y) x)

simplify3.0s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
065404
1180345
2666291
32473287
done5001287

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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:
16.0ms
(+ (* 1.0 x) (* y (* x y)))
36.0ms
(* y (* x y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(+ (* 1.0 x) (* y (* x y)))
24.0ms
(* y (* x y))

simplify2.4s

Counts
40 → 40
Iterations

Useful iterations: done (2.4s)

IterNodesCost
061388
1172351
2561299
31917279
done5000275

prune97.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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:
48.0ms
(* (cbrt (* y (* x y))) (cbrt (* y (* x y))))
19.0ms
(cbrt (* y (* x y)))
12.0ms
(cbrt (* y (* x y)))
18.0ms
(cbrt (* y (* x y)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (cbrt (* y (* x y))) (cbrt (* y (* x y))))
106.0ms
(cbrt (* y (* x y)))
134.0ms
(cbrt (* y (* x y)))
127.0ms
(cbrt (* y (* x y)))

simplify3.2s

Counts
78 → 78
Iterations

Useful iterations: done (3.2s)

IterNodesCost
090916
1208827
2522732
31182629
43054607
done5001555

prune332.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

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

sample919.0ms

Algorithm
intervals
Results
463.0ms10796×body80valid