Details

Time bar (total: 4.1s)

sample22.0ms

Algorithm
intervals
Results
7.0ms357×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0142
1242
2472
3712
4712
done712

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

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 (fma x y z) y t)

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(fma (fma x y z) y t)

simplify60.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03947
19138
236638
3188738
4500138
done500138

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:
10.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series659.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
156.0ms
(cbrt (fma (fma x y z) y t))
154.0ms
(cbrt (fma (fma x y z) y t))
156.0ms
(cbrt (fma (fma x y z) y t))

simplify174.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0246698
1931634
24917570
35001570
done5001570

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 50
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))
5.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (fma (fma x y z) y t))
154.0ms
(cbrt (fma (fma x y z) y t))
160.0ms
(cbrt (fma (fma x y z) y t))
199.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))

simplify64.0ms

Counts
62 → 62
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0211459
1577408
22300380
35003370
done5003370

prune253.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×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 → 46
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y t))
5.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
7.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
5.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))

series755.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (fma (fma x y z) y t))
200.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
199.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))
199.0ms
(cbrt (* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t))))

simplify65.0ms

Counts
58 → 58
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0211545
1577480
22300436
35003430
done5003430

prune213.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes137.0ms

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
062
162
done62

end0.0ms

sample619.0ms

Algorithm
intervals
Results
252.0ms11311×body80valid