Details

Time bar (total: 12.8s)

sample43.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1147
2247
3497
4817
5897
done897

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(fma (fma x y z) y t)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 4 (419.0ms)

IterNodesCost
023129
140124
2105110
3391108
43054106
done5000106

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
14.0ms
(* (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))

series903.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
216.0ms
(cbrt (fma (fma x y z) y t))
208.0ms
(cbrt (fma (fma x y z) y t))
171.0ms
(cbrt (fma (fma x y z) y t))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01071641
12681509
29281368
done50001232

prune706.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

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))
0.9b
(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 3 1))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
unpow-prod-down
pow1 add-exp-log
expm1-log1p-u pow-unpow pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-pow
unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 67
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))
17.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 3 1))

series1.2s

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (fma (fma x y z) y t))
239.0ms
(cbrt (fma (fma x y z) y t))
290.0ms
(cbrt (fma (fma x y z) y t))
421.0ms
(pow (cbrt (cbrt (fma (fma x y z) y t))) (+ 3 1))

simplify744.0ms

Counts
79 → 79
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
01201317
13471173
211491020
done5000983

prune798.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

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 (fma (fma x y z) y t))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
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))
2.0ms
(cbrt (fma (fma x y z) y t))

series948.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt (fma (fma x y z) y t))
219.0ms
(cbrt (fma (fma x y z) y t))
213.0ms
(cbrt (fma (fma x y z) y t))
242.0ms
(cbrt (fma (fma x y z) y t))

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: done (1.0s)

IterNodesCost
056908
1127872
2336776
31274740
done5001708

prune449.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes571.0ms

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
067
done67

end0.0ms

sample1.4s

Algorithm
intervals
Results
588.0ms11328×body80valid