Details

Time bar (total: 10.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms338×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
067
1117
2156
3166
done166

prune7.0ms

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)

rewrite3.0ms

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:
2.0ms
(fma (* y z) z x)

series47.0ms

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

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
019104
132102
27590
320590
477790
5447490
done500090

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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))

rewrite10.0ms

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))
1.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (fma (* y z) z x))

series661.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x)))
162.0ms
(cbrt (fma (* y z) z x))
163.0ms
(cbrt (fma (* y z) z x))
174.0ms
(cbrt (fma (* y z) z x))

simplify2.0s

Counts
93 → 93
Iterations

Useful iterations: 3 (401.0ms)

IterNodesCost
0991437
12201325
27851215
335461068
done50001068

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
0.9b
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
11×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 → 66
Calls
4 calls:
0.0ms
(cbrt (fma (* y z) z x))
1.0ms
(cbrt (cbrt (fma (* y z) z x)))
3.0ms
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
3.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

series747.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (fma (* y z) z x))
162.0ms
(cbrt (cbrt (fma (* y z) z x)))
174.0ms
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))
242.0ms
(pow (cbrt (cbrt (fma (* y z) z x))) 4)

simplify476.0ms

Counts
78 → 78
Iterations

Useful iterations: done (474.0ms)

IterNodesCost
01481208
13421160
210871023
done5000976

prune279.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (* y z) z x))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (cbrt (fma (* y z) z x)))
0.6b
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
9×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 → 56
Calls
4 calls:
0.0ms
(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
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (fma (* y z) z x))
174.0ms
(cbrt (cbrt (fma (* y z) z x)))
170.0ms
(cbrt (cbrt (fma (* y z) z x)))
168.0ms
(cbrt (* (cbrt (fma (* y z) z x)) (cbrt (fma (* y z) z x))))

simplify925.0ms

Counts
68 → 68
Iterations

Useful iterations: 3 (266.0ms)

IterNodesCost
01061002
1236979
2633893
32605873
done5000873

prune269.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

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
056
166
done66

end0.0ms

sample415.0ms

Algorithm
intervals
Results
208.0ms10663×body80valid