Details

Time bar (total: 12.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune6.0ms

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)

series30.0ms

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

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
019110
129107
26495
314595
441595
5133095
6399795
done500195

prune36.0ms

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) 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)))
0.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series371.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
93.0ms
(cbrt (fma (/ y z) y x))
93.0ms
(cbrt (fma (/ y z) y x))
93.0ms
(cbrt (fma (/ y z) y x))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0851375
11561275
23821169
310631013
42817987
done5001981

prune289.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)

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) 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)

series398.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (fma (/ y z) y x))
91.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
93.0ms
(cbrt (cbrt (fma (/ y z) y x)))
121.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify1.7s

Counts
78 → 78
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01171144
12271106
2490976
31405915
done5000858

prune298.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite11.0ms

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)

series462.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (cbrt (fma (/ y z) y x)))
124.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
121.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)
124.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify3.5s

Counts
106 → 106
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0871626
11691538
23591423
310461390
440761337
done50001329

prune433.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes201.0ms

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

sample433.0ms

Algorithm
intervals
Results
217.0ms10638×body80valid