Details

Time bar (total: 8.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms323×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(fma (* y z) z x)

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma (* y z) z x)

simplify2.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019104
131102
26790
315690
448390
5160690
6487390
done500090

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.5b
(cbrt (fma (* y z) z x))
0.5b
(cbrt (fma (* y z) z x))
0.5b
(cbrt (fma (* y z) z x))

rewrite9.0ms

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:
6.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
0.0ms
(cbrt (fma (* y z) z x))
0.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))

series660.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
164.0ms
(cbrt (fma (* y z) z x))
166.0ms
(cbrt (fma (* y z) z x))
167.0ms
(cbrt (fma (* y z) z x))

simplify714.0ms

Counts
93 → 93
Iterations

Useful iterations: done (712.0ms)

IterNodesCost
0991437
12171321
25591215
317361068
done50001067

prune245.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.9b
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
3.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series744.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (cbrt (fma (* y z) z x)))
167.0ms
(cbrt (cbrt (fma (* y z) z x)))
165.0ms
(cbrt (cbrt (fma (* y z) z x)))
242.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify642.0ms

Counts
86 → 86
Iterations

Useful iterations: 3 (211.0ms)

IterNodesCost
01041278
12251172
24991099
315651072
done50001072

prune287.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.7b
(cbrt (pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3))
0.8b
(pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3)
0.9b
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
88×cbrt-prod
73×unpow-prod-down
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity cube-prod
7×add-exp-log sqr-pow
6×pow-unpow
5×pow1 pow-exp add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u unpow2 add-log-exp
3×pow-to-exp pow-pow pow1/3
2×cube-mult unpow3
1×rem-cbrt-cube rem-cube-cbrt
Counts
4 → 136
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
6.0ms
(cbrt (pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3))
6.0ms
(pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3)
3.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series832.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (cbrt (fma (* y z) z x)))
161.0ms
(cbrt (pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3))
265.0ms
(pow (pow (cbrt (cbrt (fma (* y z) z x))) 2) 3)
238.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify746.0ms

Counts
148 → 148
Iterations

Useful iterations: done (742.0ms)

IterNodesCost
02183028
15192308
213902139
done50002111

prune440.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes166.0ms

Accuracy

0% (0.0b 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
056
166
done66

end0.0ms

sample408.0ms

Algorithm
intervals
Results
207.0ms10657×body80valid