Details

Time bar (total: 6.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify861.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
71178
6421
5190
493
348
230
114
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* x x) x (* x x))

rewrite0.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (* x x) x (* x x))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(fma (* x x) x (* x x))

simplify688.0ms

Counts
14 → 14
Iterations
IterNodes
done2000
41279
3275
285
131
019

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
29.7b
(cbrt (fma (* x x) x (* x x)))
29.7b
(cbrt (fma (* x x) x (* x x)))
29.7b
(cbrt (fma (* x x) x (* x x)))

rewrite13.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
10.0ms
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
1.0ms
(cbrt (fma (* x x) x (* x x)))
1.0ms
(cbrt (fma (* x x) x (* x x)))
1.0ms
(cbrt (fma (* x x) x (* x x)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
67.0ms
(cbrt (fma (* x x) x (* x x)))
63.0ms
(cbrt (fma (* x x) x (* x x)))
69.0ms
(cbrt (fma (* x x) x (* x x)))

simplify1.0s

Counts
97 → 97
Iterations
IterNodes
done2000
31984
2702
1255
0106

prune329.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

29.7b
(cbrt (fma (* x x) x (* x x)))
29.7b
(cbrt (fma (* x x) x (* x x)))
29.7b
(cbrt (fma (* x x) x (* x x)))
29.7b
(cbrt (fma (* x x) x (* x x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt (fma (* x x) x (* x x)))
1.0ms
(cbrt (fma (* x x) x (* x x)))
1.0ms
(cbrt (fma (* x x) x (* x x)))
1.0ms
(cbrt (fma (* x x) x (* x x)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(cbrt (fma (* x x) x (* x x)))
73.0ms
(cbrt (fma (* x x) x (* x x)))
71.0ms
(cbrt (fma (* x x) x (* x x)))
75.0ms
(cbrt (fma (* x x) x (* x x)))

simplify516.0ms

Counts
68 → 68
Iterations
IterNodes
done2001
3904
2316
1123
055

prune380.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* x x) x (* x x))
0.0b
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
0.2b
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
20.5b
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma (* x x) x (* x x))
23.0ms
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
9.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
18.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(fma (* x x) x (* x x))
43.0ms
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
32.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
111.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

simplify575.0ms

Counts
99 → 99
Iterations
IterNodes
done2000
2695
1232
098

prune274.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done3
03

end0.0ms

sample623.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
233.0ms8000×pre80true