Details

Time bar (total: 15.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
82702
71178
6421
5190
493
348
230
114
04

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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 log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (* x x) (* x x))

series105.0ms

Counts
1 → 3
Calls
1 calls:
105.0ms
(fma x (* x x) (* x x))

simplify2.3s

Counts
13 → 13
Iterations
IterNodes
done5000
41338
3271
285
130
018

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (* x x) (* x x))
0.1b
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
25.7b
(sqrt (fma x (* x x) (* x x)))
25.7b
(sqrt (fma x (* x x) (* x x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×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×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma x (* x x) (* x x))
15.0ms
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
2.0ms
(sqrt (fma x (* x x) (* x x)))
2.0ms
(sqrt (fma x (* x x) (* x x)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(fma x (* x x) (* x x))
115.0ms
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
59.0ms
(sqrt (fma x (* x x) (* x x)))
62.0ms
(sqrt (fma x (* x x) (* x x)))

simplify1.6s

Counts
103 → 103
Iterations
IterNodes
done5001
31445
2394
1145
080

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (fma x (* x x) (* x x)))) (sqrt (sqrt (fma x (* x x) (* x x)))))
25.7b
(sqrt (fma x (* x x) (* x x)))
25.7b
(sqrt (fma x (* x x) (* x x)))
25.7b
(sqrt (fma x (* x x) (* x x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1
19×*-un-lft-identity pow1/2 add-cube-cbrt
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-cbrt-cube add-exp-log
5×pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
32.0ms
(* (sqrt (sqrt (fma x (* x x) (* x x)))) (sqrt (sqrt (fma x (* x x) (* x x)))))
2.0ms
(sqrt (fma x (* x x) (* x x)))
2.0ms
(sqrt (fma x (* x x) (* x x)))
2.0ms
(sqrt (fma x (* x x) (* x x)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (sqrt (sqrt (fma x (* x x) (* x x)))) (sqrt (sqrt (fma x (* x x) (* x x)))))
65.0ms
(sqrt (fma x (* x x) (* x x)))
44.0ms
(sqrt (fma x (* x x) (* x x)))
52.0ms
(sqrt (fma x (* x x) (* x x)))

simplify2.7s

Counts
134 → 134
Iterations
IterNodes
done5000
43579
31038
2415
1195
098

prune421.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
26.6b
(cbrt (fma x (* x x) (* x x)))
26.6b
(cbrt (fma x (* x x) (* x x)))
26.6b
(cbrt (fma x (* x x) (* x x)))

rewrite16.0ms

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:
12.0ms
(* (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)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
74.0ms
(cbrt (fma x (* x x) (* x x)))
83.0ms
(cbrt (fma x (* x x) (* x x)))
56.0ms
(cbrt (fma x (* x x) (* x x)))

simplify2.0s

Counts
93 → 93
Iterations
IterNodes
done5003
31870
2685
1253
0104

prune426.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample589.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
146.0ms8000×pre80true