Details

Time bar (total: 13.6s)

sample28.0ms

Algorithm
intervals
Results
13.0ms401×body80valid

simplify90.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0815
11614
23311
3578
4788
5868
done868

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* 3 (* z z)))
0.2b
(* 3 (* z z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef unswap-sqr
Counts
2 → 31
Calls
2 calls:
1.0ms
(fma y x (* 3 (* z z)))
34.0ms
(* 3 (* z z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(fma y x (* 3 (* z z)))
47.0ms
(* 3 (* z z))

simplify591.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
051312
1121296
2670260
done5000260

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y x (* (* 3 z) z))
0.2b
(* (* 3 z) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma y x (* (* 3 z) z))
30.0ms
(* (* 3 z) z)

series88.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma y x (* (* 3 z) z))
35.0ms
(* (* 3 z) z)

simplify712.0ms

Counts
36 → 36
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
053307
1123293
2777257
done5001253

prune91.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×add-sqr-sqrt associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×cbrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative unswap-sqr
1×fma-udef
Counts
3 → 65
Calls
3 calls:
0.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
108.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
24.0ms
(* (cbrt 3) (* z z))

series337.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
128.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
70.0ms
(* (cbrt 3) (* z z))

simplify1.0s

Counts
74 → 74
Iterations

Useful iterations: done (1.0s)

IterNodesCost
085954
1218927
21089629
done5001507

prune212.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 3 (* z z) (* x y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma 3 (* z z) (* x y))

simplify8.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
021140
137137
2103121
3415121
43296121
done5000121

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes175.0ms

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
078
188
done88

end0.0ms

sample1.1s

Algorithm
intervals
Results
635.0ms12315×body80valid