Details

Time bar (total: 10.2s)

sample49.0ms

Algorithm
intervals
Results
22.0ms399×body80valid

simplify103.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0815
11614
23311
3578
4788
5868
done868

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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)))
39.0ms
(* 3 (* z z))

series125.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(fma y x (* 3 (* z z)))
45.0ms
(* 3 (* z z))

simplify813.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
051312
1121296
2670260
done5000260

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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
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))
34.0ms
(* (* 3 z) z)

series136.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(fma y x (* (* 3 z) z))
45.0ms
(* (* 3 z) z)

simplify1.0s

Counts
36 → 36
Iterations

Useful iterations: done (1.0s)

IterNodesCost
053307
1123293
2777257
done5001253

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (pow z 2) (* 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:
1.0ms
(fma 3 (pow z 2) (* y x))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(fma 3 (pow z 2) (* y x))

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
020140
130137
272121
3249121
41340121
done5002121

prune98.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
0.1b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
0.3b
(* (cbrt 3) (* z z))

rewrite173.0ms

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:
1.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
131.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
37.0ms
(* (cbrt 3) (* z z))

series400.0ms

Counts
3 → 9
Calls
3 calls:
162.0ms
(fma y x (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z))))
156.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* z z)))
81.0ms
(* (cbrt 3) (* z z))

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: done (1.2s)

IterNodesCost
085954
1218927
21089629
done5001507

prune356.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes411.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample1.6s

Algorithm
intervals
Results
909.0ms12162×body80valid