Details

Time bar (total: 10.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms349×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3417
4597
done597

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(fma (fma x y z) y t)

simplify636.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
023129
140124
294106
3297106
41409106
done5000106

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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

rewrite12.0ms

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:
7.0ms
(* (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))

series654.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
142.0ms
(cbrt (fma (fma x y z) y t))
146.0ms
(cbrt (fma (fma x y z) y t))
190.0ms
(cbrt (fma (fma x y z) y t))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (484.0ms)

IterNodesCost
01071641
12481513
29111368
341911177
done50001177

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma (fma x y z) y t))
0.1b
(fma (fma x y z) y t)
0.1b
(fma (fma x y z) y t)
0.2b
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma (fma x y z) y t))
0.0ms
(fma (fma x y z) y t)
0.0ms
(fma (fma x y z) y t)
7.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(sqrt (fma (fma x y z) y t))
55.0ms
(fma (fma x y z) y t)
53.0ms
(fma (fma x y z) y t)
56.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify2.6s

Counts
98 → 98
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0951590
12041083
2699955
33759910
done5000907

prune199.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
0.2b
(* (sqrt (fma (fma x y z) y t)) (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t)))))
0.5b
(cbrt (fma (fma x y z) y t))
0.5b
(cbrt (fma (fma x y z) y t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×cbrt-prod associate-*r*
9×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 77
Calls
4 calls:
6.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
12.0ms
(* (sqrt (fma (fma x y z) y t)) (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (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))

series764.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
243.0ms
(* (sqrt (fma (fma x y z) y t)) (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t)))))
151.0ms
(cbrt (fma (fma x y z) y t))
144.0ms
(cbrt (fma (fma x y z) y t))

simplify581.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
01682228
14102083
214811820
done50011820

prune315.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes105.0ms

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

sample552.0ms

Algorithm
intervals
Results
275.0ms11196×body80valid