Details

Time bar (total: 9.8s)

sample34.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms256×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))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(fma (* x x) x (* x x))

simplify1.1s

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

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
28.2b
(cbrt (fma (* x x) x (* x x)))
28.2b
(cbrt (fma (* x x) x (* x x)))
28.2b
(cbrt (fma (* x x) x (* x x)))

rewrite14.0ms

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)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (cbrt (fma (* x x) x (* x x))) (cbrt (fma (* x x) x (* x x))))
68.0ms
(cbrt (fma (* x x) x (* x x)))
65.0ms
(cbrt (fma (* x x) x (* x x)))
55.0ms
(cbrt (fma (* x x) x (* x x)))

simplify1.3s

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

prune652.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* x x) x (* x x))
0.1b
(* (* (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)))
19.9b
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

rewrite44.0ms

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))
16.0ms
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
6.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
21.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(fma (* x x) x (* x x))
37.0ms
(* (* (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)))
83.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

simplify943.0ms

Counts
99 → 99
Iterations
IterNodes
done2000
32000
2695
1232
098

prune748.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
19.9b
(cbrt (* (* (sqrt (fma (* x x) x (* x x))) (* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))) (fma (* x x) x (* x x))))
27.3b
(sqrt (fma (* x x) x (* x x)))
27.3b
(sqrt (fma (* x x) x (* x x)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×pow1
10×sqrt-prod
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube associate-*l* add-exp-log
4×expm1-log1p-u sqrt-pow1 pow1/2 insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r*
2×rem-sqrt-square pow-plus pow-prod-up fma-udef unswap-sqr
1×cbrt-prod distribute-rgt-in distribute-lft-in pow1/3 cube-unmult pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
8.0ms
(* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
50.0ms
(cbrt (* (* (sqrt (fma (* x x) x (* x x))) (* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))) (fma (* x x) x (* x x))))
1.0ms
(sqrt (fma (* x x) x (* x x)))
1.0ms
(sqrt (fma (* x x) x (* x x)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
112.0ms
(cbrt (* (* (sqrt (fma (* x x) x (* x x))) (* (sqrt (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))) (fma (* x x) x (* x x))))
43.0ms
(sqrt (fma (* x x) x (* x x)))
55.0ms
(sqrt (fma (* x x) x (* x x)))

simplify1.1s

Counts
88 → 88
Iterations
IterNodes
done2005
32005
2651
1218
0102

prune708.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes19.0ms

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

sample988.0ms

Algorithm
intervals
Results
510.0ms8000×pre80true
371.0ms8000×body80valid