Details

Time bar (total: 10.1s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
7.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2037
82037
71178
6421
5190
493
348
230
114
04

prune6.0ms

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))

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

series110.0ms

Counts
1 → 3
Calls
1 calls:
110.0ms
(fma (* x x) x (* x x))

simplify1.2s

Counts
14 → 14
Iterations
IterNodes
done2026
52026
41279
3275
285
131
019

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)))

rewrite15.0ms

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:
11.0ms
(* (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)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
76.0ms
(cbrt (fma (* x x) x (* x x)))
73.0ms
(cbrt (fma (* x x) x (* x x)))
72.0ms
(cbrt (fma (* x x) x (* x x)))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done2004
42004
31984
2702
1255
0106

prune618.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

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)))

rewrite6.0ms

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)))

series256.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(cbrt (fma (* x x) x (* x x)))
61.0ms
(cbrt (fma (* x x) x (* x x)))
63.0ms
(cbrt (fma (* x x) x (* x x)))
72.0ms
(cbrt (fma (* x x) x (* x x)))

simplify915.0ms

Counts
68 → 68
Iterations
IterNodes
done2001
42001
3904
2316
1123
055

prune798.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize68.0ms

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)))
31.8b
(pow (fma (* x x) x (* x x)) 1/3)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 63
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)))
2.0ms
(pow (fma (* x x) x (* x x)) 1/3)

series268.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(cbrt (fma (* x x) x (* x x)))
65.0ms
(cbrt (fma (* x x) x (* x x)))
77.0ms
(cbrt (fma (* x x) x (* x x)))
67.0ms
(pow (fma (* x x) x (* x x)) 1/3)

simplify914.0ms

Counts
75 → 75
Iterations
IterNodes
done2003
42003
31278
2503
1196
081

prune880.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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

sample1.1s

Algorithm
intervals
Results
732.0ms8000×body80valid
296.0ms8000×pre80true