Details

Time bar (total: 11.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y z) y x)

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
019110
128107
26395
314495
441695
5136395
6403795
done500095

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y 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) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series427.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
111.0ms
(cbrt (fma (/ y z) y x))
103.0ms
(cbrt (fma (/ y z) y x))
105.0ms
(cbrt (fma (/ y z) y x))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0851375
11561271
23861169
310641013
42838987
done5000981

prune272.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:
1.0ms
(cbrt (fma (/ y z) y x))
3.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
3.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series440.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (fma (/ y z) y x))
101.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
102.0ms
(cbrt (cbrt (fma (/ y z) y x)))
134.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01171144
12271072
2480981
31333950
44293863
done5001863

prune323.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
27×unpow-prod-down
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
3.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
3.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
3.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series504.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (cbrt (fma (/ y z) y x)))
133.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
133.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
134.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0871626
11691487
23441413
39501380
433261331
done50011323

prune432.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes244.0ms

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
done56

end0.0ms

sample436.0ms

Algorithm
intervals
Results
224.0ms10638×body80valid