Details

Time bar (total: 14.0s)

sample21.0ms

Algorithm
intervals
Results
10.0ms406×body80valid

simplify40.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
0815
11614
23311
3558
4728
5768
done768

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:
0.0ms
(fma y x (* 3 (* z z)))
7.0ms
(* 3 (* z z))

series76.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma y x (* 3 (* z z)))
28.0ms
(* 3 (* z z))

simplify2.9s

Counts
37 → 37
Iterations

Useful iterations: 3 (164.0ms)

IterNodesCost
051312
1106296
2280260
3612254
41265254
53832254
done5001254

prune84.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:
0.0ms
(fma y x (* (* 3 z) z))
7.0ms
(* (* 3 z) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma y x (* (* 3 z) z))
24.0ms
(* (* 3 z) z)

simplify5.1s

Counts
36 → 36
Iterations

Useful iterations: 4 (3.2s)

IterNodesCost
053307
1118291
2424253
31303247
44370246
done5000246

prune86.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 z (* z 3) (* y x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma z (* z 3) (* y x))

simplify1.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
022140
135137
272121
3181121
4612121
52336121
done5000121

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* z z))
0.3b
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
21.5b
(sqrt (* 3 (* z z)))
21.5b
(sqrt (* 3 (* z z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 117
Calls
4 calls:
7.0ms
(* 3 (* z z))
38.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
6.0ms
(sqrt (* 3 (* z z)))
6.0ms
(sqrt (* 3 (* z z)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* 3 (* z z))
71.0ms
(* (sqrt (* 3 (* z z))) (sqrt (* 3 (* z z))))
34.0ms
(sqrt (* 3 (* z z)))
39.0ms
(sqrt (* 3 (* z z)))

simplify2.5s

Counts
129 → 129
Iterations

Useful iterations: 3 (640.0ms)

IterNodesCost
0841176
1167769
2507661
32328625
done5000625

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes110.0ms

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
198
done98

end0.0ms

sample550.0ms

Algorithm
intervals
Results
304.0ms12255×body80valid