Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms340×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0113
1152
2162
3162
done162

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
16.0ms
(* (* y z) z)

series81.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (* y z) z))
30.0ms
(* (* y z) z)

simplify103.0ms

Counts
42 → 42
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0167152
1756130
23750130
35002129
done5002129

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series701.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt z) (cbrt z))
167.0ms
(cbrt z)
175.0ms
(cbrt z)
172.0ms
(cbrt z)

simplify86.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune237.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))

rewrite63.0ms

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:
26.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
12.0ms
(cbrt (* (* y z) z))
12.0ms
(cbrt (* (* y z) z))
12.0ms
(cbrt (* (* y z) z))

series396.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
94.0ms
(cbrt (* (* y z) z))
96.0ms
(cbrt (* (* y z) z))
92.0ms
(cbrt (* (* y z) z))

simplify88.0ms

Counts
78 → 78
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0211461
1684410
23048353
35001345
done5001345

prune198.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
10.4b
(cbrt (* y z))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt z)
3.0ms
(cbrt (* y z))
12.0ms
(cbrt (* (* y z) z))
12.0ms
(cbrt (* (* y z) z))

series427.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt z)
68.0ms
(cbrt (* y z))
93.0ms
(cbrt (* (* y z) z))
92.0ms
(cbrt (* (* y z) z))

simplify94.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0168244
1355222
21046196
33611192
45001192
done5001192

prune189.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes144.0ms

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
093
193
done93

end0.0ms

sample468.0ms

Algorithm
intervals
Results
188.0ms10716×body80valid