Details

Time bar (total: 6.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms349×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3397
4577
done577

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)

series56.0ms

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

simplify537.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
023129
140124
285106
3239106
41043106
done5000106

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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)))
0.5b
(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))

rewrite9.0ms

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

series652.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (fma (fma x y z) y t)) (cbrt (fma (fma x y z) y t)))
153.0ms
(cbrt (fma (fma x y z) y t))
158.0ms
(cbrt (fma (fma x y z) y t))
155.0ms
(cbrt (fma (fma x y z) y t))

simplify818.0ms

Counts
93 → 93
Iterations

Useful iterations: done (816.0ms)

IterNodesCost
01071641
12451509
26571368
319761177
done50001176

prune270.0ms

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)))

rewrite12.0ms

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)
6.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(sqrt (fma (fma x y z) y t))
53.0ms
(fma (fma x y z) y t)
55.0ms
(fma (fma x y z) y t)
54.0ms
(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify1.0s

Counts
98 → 98
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0951590
12011081
2562955
32354925
done5000922

prune201.0ms

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
4×expm1-log1p-u associate-*l* 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:
12.0ms
(* (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
7.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t)))
0.0ms
(cbrt (fma (fma x y z) y t))
1.0ms
(cbrt (fma (fma x y z) y t))

series960.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t))) (sqrt (cbrt (fma (fma x y z) y t))))
391.0ms
(* (fabs (cbrt (fma (fma x y z) y t))) (sqrt (fma (fma x y z) y t)))
155.0ms
(cbrt (fma (fma x y z) y t))
151.0ms
(cbrt (fma (fma x y z) y t))

simplify614.0ms

Counts
88 → 88
Iterations

Useful iterations: done (612.0ms)

IterNodesCost
01762243
14532076
215891824
done50011821

prune304.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes107.0ms

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

sample563.0ms

Algorithm
intervals
Results
277.0ms11196×body80valid