Details

Time bar (total: 10.3s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms256×pre80true

simplify872.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
5618
4144
348
230
114
04

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(fma x (* x x) (* x x))

simplify732.0ms

Counts
13 → 13
Iterations
IterNodes
done5002
3903
2130
131
018

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (* x x) (* x x))
0.0b
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
29.2b
(sqrt (fma x (* x x) (* x x)))
29.2b
(sqrt (fma x (* x x) (* x x)))

rewrite15.0ms

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))
10.0ms
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
1.0ms
(sqrt (fma x (* x x) (* x x)))
1.0ms
(sqrt (fma x (* x x) (* x x)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma x (* x x) (* x x))
104.0ms
(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
52.0ms
(sqrt (fma x (* x x) (* x x)))
43.0ms
(sqrt (fma x (* x x) (* x x)))

simplify2.5s

Counts
103 → 103
Iterations
IterNodes
done5000
32773
2502
1161
080

prune406.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (sqrt (fma x (* x x) (* x x))) (sqrt (sqrt (fma x (* x x) (* x x))))) (sqrt (sqrt (fma x (* x x) (* x x)))))
29.2b
(sqrt (fma x (* x x) (* x x)))
29.2b
(sqrt (fma x (* x x) (* x x)))
29.2b
(sqrt (fma x (* x x) (* x x)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-pow1
37×pow1
26×pow-prod-up
22×pow1/2
20×sqrt-prod
17×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube associate-*r* add-exp-log
7×pow-prod-down
4×expm1-log1p-u pow3 log1p-expm1-u add-log-exp
3×rem-sqrt-square prod-exp cbrt-unprod
2×pow-plus sqrt-unprod
1×associate-*l* *-commutative
Counts
4 → 90
Calls
4 calls:
68.0ms
(* (* (sqrt (fma x (* x x) (* x x))) (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)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* (sqrt (fma x (* x x) (* x x))) (sqrt (sqrt (fma x (* x x) (* x x))))) (sqrt (sqrt (fma x (* x x) (* x x)))))
66.0ms
(sqrt (fma x (* x x) (* x x)))
68.0ms
(sqrt (fma x (* x x) (* x x)))
67.0ms
(sqrt (fma x (* x x) (* x x)))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5000
21184
1257
099

prune299.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x)))))
0.2b
(* (* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x))))) (sqrt (sqrt (fma x (* x x) (* x x)))))
29.2b
(sqrt (fma x (* x x) (* x x)))
29.2b
(sqrt (fma x (* x x) (* x x)))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
21×add-sqr-sqrt
18×associate-*r*
13×pow1 *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
6×associate-*l/
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×unswap-sqr
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 *-commutative flip-+
Counts
4 → 88
Calls
4 calls:
98.0ms
(* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x)))))
124.0ms
(* (* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x))))) (sqrt (sqrt (fma x (* x x) (* x x)))))
1.0ms
(sqrt (fma x (* x x) (* x x)))
1.0ms
(sqrt (fma x (* x x) (* x x)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x)))))
142.0ms
(* (* (+ (* (* x x) (- 1/2 (* 1/8 x))) x) (sqrt (sqrt (fma x (* x x) (* x x))))) (sqrt (sqrt (fma x (* x x) (* x x)))))
59.0ms
(sqrt (fma x (* x x) (* x x)))
58.0ms
(sqrt (fma x (* x x) (* x x)))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
done5000
22143
1427
0166

prune528.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes45.0ms

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

sample497.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid
147.0ms8000×pre80true