Details

Time bar (total: 13.4s)

sample32.0ms

Algorithm
intervals
Results
11.0ms359×body80valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done93
593
480
349
224
114
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma y (fma y x z) t)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(fma y (fma y x z) t)

simplify2.7s

Counts
13 → 13
Iterations
IterNodes
done5001
42477
3373
2100
140
023

prune90.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
13.0ms
(* (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))
2.0ms
(cbrt (fma (fma x y z) y t))

series849.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
183.0ms
(cbrt (fma (fma x y z) y t))
214.0ms
(cbrt (fma (fma x y z) y t))
221.0ms
(cbrt (fma (fma x y z) y t))

simplify874.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
2925
1267
0107

prune698.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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)
0.3b
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×*-un-lft-identity add-cube-cbrt
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
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 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
2.0ms
(sqrt (fma (fma x y z) y t))
0.0ms
(fma (fma x y z) y t)
1.0ms
(fma (fma x y z) y t)
21.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

series709.0ms

Counts
4 → 12
Calls
4 calls:
467.0ms
(sqrt (fma (fma x y z) y t))
69.0ms
(fma (fma x y z) y t)
82.0ms
(fma (fma x y z) y t)
90.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify713.0ms

Counts
98 → 98
Iterations
IterNodes
done5001
2974
1232
095

prune534.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t)))) (sqrt (cbrt (fma (fma x y z) y t))))
0.2b
(* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t))))
0.6b
(cbrt (fma y (fma y x z) t))
0.6b
(cbrt (fma (fma x y z) y t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity associate-*r* add-cube-cbrt
11×pow1 add-cbrt-cube add-exp-log
10×sqrt-prod
9×cbrt-prod
7×associate-*l*
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
23.0ms
(* (* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t)))) (sqrt (cbrt (fma (fma x y z) y t))))
8.0ms
(* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t))))
1.0ms
(cbrt (fma y (fma y x z) t))
1.0ms
(cbrt (fma (fma x y z) y t))

series2.0s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t)))) (sqrt (cbrt (fma (fma x y z) y t))))
301.0ms
(* (sqrt (fma y (fma y x z) t)) (fabs (cbrt (fma y (fma y x z) t))))
186.0ms
(cbrt (fma y (fma y x z) t))
181.0ms
(cbrt (fma (fma x y z) y t))

simplify1.4s

Counts
88 → 88
Iterations
IterNodes
done5001
22429
1540
0203

prune831.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes392.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
570.0ms11257×body80valid