Details

Time bar (total: 20.2s)

sample28.0ms

Algorithm
intervals
Results
14.0ms345×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y z) y x)

simplify3.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
019110
128110
27895
330495
4263095
done500095

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite31.0ms

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:
21.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))

series563.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
149.0ms
(cbrt (fma (/ y z) y x))
129.0ms
(cbrt (fma (/ y z) y x))
134.0ms
(cbrt (fma (/ y z) y x))

simplify6.3s

Counts
93 → 93
Iterations

Useful iterations: done (6.3s)

IterNodesCost
0851375
11741271
25791169
338201013
done5000989

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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)))
0.8b
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

rewrite13.0ms

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))
5.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
5.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series563.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (fma (/ y z) y x))
126.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
145.0ms
(cbrt (cbrt (fma (/ y z) y x)))
138.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify3.1s

Counts
78 → 78
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01171144
12761100
2821974
33594947
done5000940

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (/ y z) y x)))
0.6b
(cbrt (cbrt (fma (/ y z) y x)))
0.8b
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
0.8b
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
18×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log pow-unpow
4×expm1-log1p-u pow-pow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp pow-exp sqr-pow
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
5.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
5.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series627.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (cbrt (fma (/ y z) y x)))
134.0ms
(cbrt (cbrt (fma (/ y z) y x)))
162.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
188.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify3.3s

Counts
96 → 96
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0871420
12181344
26581234
332041208
done50011204

prune496.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes261.0ms

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

sample934.0ms

Algorithm
intervals
Results
480.0ms10517×body80valid