Details

Time bar (total: 21.3s)

sample72.0ms

Algorithm
intervals
Results
52.0ms470×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5001
31049
2250
170
028

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize110.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite774.0ms

Algorithm
rewrite-expression-head
Rules
75×add-cbrt-cube add-exp-log
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
8×cbrt-undiv div-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 135
Calls
4 calls:
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
674.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
78.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series155.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(* (* (fabs x) (fabs x)) (fabs x))
71.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify3.2s

Counts
145 → 145
Iterations
IterNodes
done5000
24171
1644
0224

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(fma (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)) (fma (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (/ (* 1.0 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))) 21.0)))
1.0b
(sqrt PI)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
14×add-cbrt-cube add-exp-log
12×pow-plus pow-prod-up
10×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×pow2 expm1-log1p-u pow-sqr log1p-expm1-u add-log-exp
3×sqrt-prod
2×associate-*l* pow3 *-commutative unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 85
Calls
4 calls:
22.0ms
(* (* (fabs x) (fabs x)) (fabs x))
38.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(fma (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)) (fma (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (/ (* 1.0 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))) 21.0)))
2.0ms
(sqrt PI)

series376.0ms

Counts
4 → 10
Calls
4 calls:
36.0ms
(* (* (fabs x) (fabs x)) (fabs x))
39.0ms
(* (* (fabs x) (fabs x)) (fabs x))
300.0ms
(fma (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)) (fma (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (/ (* 1.0 (* (* (* (fabs x) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (fabs x) (fabs x)))) 21.0)))
0.0ms
(sqrt PI)

simplify1.5s

Counts
95 → 95
Iterations
IterNodes
done5000
21145
1205
093

prune600.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
0.1b
(* (/ 1.0 (sqrt PI)) (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))))
0.1b
(* 0.6666666666666666 (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×associate-*l*
20×*-un-lft-identity times-frac add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×sqrt-prod
12×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×*-commutative
1×distribute-rgt-in cbrt-undiv rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
4 → 92
Calls
4 calls:
0.0ms
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
28.0ms
(* (/ 1.0 (sqrt PI)) (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))))
14.0ms
(* 0.6666666666666666 (* (fabs x) (fabs x)))
8.0ms
(sqrt PI)

series695.0ms

Counts
4 → 10
Calls
4 calls:
169.0ms
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
493.0ms
(* (/ 1.0 (sqrt PI)) (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))))
33.0ms
(* 0.6666666666666666 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.4s

Counts
102 → 102
Iterations
IterNodes
done5000
21974
1381
0161

prune868.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
0.1b
(* (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))) (/ 1.0 (sqrt PI)))
0.1b
(* 0.6666666666666666 (* (fabs x) (fabs x)))
1.0b
(sqrt PI)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×associate-*r*
20×*-un-lft-identity times-frac add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×sqrt-prod
12×pow1
6×associate-*l*
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
2×*-commutative
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*r/ fma-udef div-inv
Counts
4 → 90
Calls
4 calls:
0.0ms
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
17.0ms
(* (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))) (/ 1.0 (sqrt PI)))
13.0ms
(* 0.6666666666666666 (* (fabs x) (fabs x)))
2.0ms
(sqrt PI)

series678.0ms

Counts
4 → 10
Calls
4 calls:
147.0ms
(fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5)))
477.0ms
(* (fma (fabs x) 2.0 (fma 0.047619047619047616 (pow (fabs x) 7) (fma (* 0.6666666666666666 (* (fabs x) (fabs x))) (fabs x) (* 0.2 (pow (fabs x) 5))))) (/ 1.0 (sqrt PI)))
54.0ms
(* 0.6666666666666666 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
done5002
21913
1391
0162

prune854.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done25
125
022

end0.0ms

sample3.4s

Algorithm
intervals
Results
3.1s13946×body80valid