Details

Time bar (total: 11.7s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done7
17
05

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize6.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ x (fma x x 1.0))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(/ x (fma x x 1.0))

simplify1.5s

Counts
32 → 32
Iterations
IterNodes
done5001
31362
2451
1140
068

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1.0)))
0.0b
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
14.0b
(sqrt (fma x x 1.0))
14.0b
(sqrt (fma x x 1.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 248
Calls
4 calls:
5.0ms
(/ x (sqrt (fma x x 1.0)))
19.0ms
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
2.0ms
(sqrt (fma x x 1.0))
2.0ms
(sqrt (fma x x 1.0))

series463.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(/ x (sqrt (fma x x 1.0)))
106.0ms
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
94.0ms
(sqrt (fma x x 1.0))
62.0ms
(sqrt (fma x x 1.0))

simplify1.9s

Counts
260 → 260
Iterations
IterNodes
done5001
21803
1709
0304

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (sqrt (sqrt (fma x x 1.0))))
14.0b
(sqrt (fma x x 1.0))
14.0b
(sqrt (fma x x 1.0))
14.0b
(sqrt (fma x x 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
27×times-frac
9×associate-/r*
7×pow1
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 98
Calls
4 calls:
10.0ms
(/ x (sqrt (sqrt (fma x x 1.0))))
2.0ms
(sqrt (fma x x 1.0))
2.0ms
(sqrt (fma x x 1.0))
2.0ms
(sqrt (fma x x 1.0))

series565.0ms

Counts
4 → 12
Calls
4 calls:
365.0ms
(/ x (sqrt (sqrt (fma x x 1.0))))
61.0ms
(sqrt (fma x x 1.0))
78.0ms
(sqrt (fma x x 1.0))
61.0ms
(sqrt (fma x x 1.0))

simplify2.2s

Counts
110 → 110
Iterations
IterNodes
done5020
32693
2865
1317
0159

prune601.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1.0) x))
14.1b
(/ (fma x x 1.0) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 107
Calls
2 calls:
8.0ms
(/ 1 (/ (fma x x 1.0) x))
4.0ms
(/ (fma x x 1.0) x)

series190.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ 1 (/ (fma x x 1.0) x))
97.0ms
(/ (fma x x 1.0) x)

simplify1.8s

Counts
113 → 113
Iterations
IterNodes
done5001
32327
2894
1399
0168

prune382.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample513.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid