Details

Time bar (total: 3.1s)

sample18.0ms

Algorithm
intervals
Results
6.0ms357×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0113
1152
2162
3162
done162

prune6.0ms

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)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* (* y z) z))
19.0ms
(* (* y z) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (* y z) z))
35.0ms
(* (* y z) z)

simplify106.0ms

Counts
42 → 42
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0167152
1756130
23750130
35002129
done5002129

prune78.0ms

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))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(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
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×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)

series720.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt z) (cbrt z))
168.0ms
(cbrt z)
180.0ms
(cbrt z)
173.0ms
(cbrt z)

simplify88.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune214.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series695.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt z)
176.0ms
(cbrt z)
182.0ms
(cbrt z)
169.0ms
(cbrt z)

simplify125.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152
done5001152

prune211.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

7.0b
(fma (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:
0.0ms
(fma (pow z 2) y x)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (pow z 2) y x)

simplify39.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02442
16837
222437
389837
4500237
done500237

prune27.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes123.0ms

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

sample456.0ms

Algorithm
intervals
Results
186.0ms10666×body80valid