Details

Time bar (total: 42.2s)

sample110.0ms

Algorithm
intervals
Results
75.0ms411×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
02867
17066
225047
3102835
4400134
done500034

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite15.0s

Algorithm
rewrite-expression-head
Rules
147×add-exp-log add-cbrt-cube
98×prod-exp cbrt-unprod
69×pow1
49×pow-prod-down
39×associate-*l*
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
15×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ sqrt-prod *-commutative div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 165
Calls
4 calls:
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
99.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
13.9s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series232.0ms

Counts
4 → 10
Calls
4 calls:
85.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
58.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
89.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.8s

Counts
175 → 175
Iterations

Useful iterations: done (2.8s)

IterNodesCost
03054549
17823089
228191822
done50001710

prune878.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1.0 21.0) (pow (fabs x) 6))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
83×add-exp-log
75×add-cbrt-cube
48×prod-exp
44×cbrt-unprod
42×add-sqr-sqrt
39×associate-*l*
34×pow1
30×times-frac
28×add-cube-cbrt *-un-lft-identity
21×pow-prod-down
11×div-exp
9×cbrt-undiv associate-*r*
6×unswap-sqr
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ sqrt-prod *-commutative div-inv sqr-pow
2×pow-to-exp pow-exp
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 150
Calls
4 calls:
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
36.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
90.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series240.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
81.0ms
(* (/ 1.0 21.0) (pow (fabs x) 6))
61.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify2.6s

Counts
160 → 160
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02852795
16961980
226601569
done50011501

prune946.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b
(/ (pow (fabs x) (+ 6 1)) 21.0)
1.0b
(sqrt PI)

rewrite982.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
72×add-cbrt-cube
42×times-frac prod-exp cbrt-unprod
37×add-sqr-sqrt
36×add-cube-cbrt *-un-lft-identity
34×pow1
26×associate-*l*
21×pow-prod-down
12×unpow-prod-down
11×div-exp
9×cbrt-undiv
8×associate-/l*
4×unpow-prod-up expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×associate-/r* sqrt-prod div-inv
2×associate-*r* associate-*l/ *-commutative
1×pow-to-exp rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-exp clear-num
Counts
4 → 156
Calls
4 calls:
858.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
89.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
20.0ms
(/ (pow (fabs x) (+ 6 1)) 21.0)
3.0ms
(sqrt PI)

series249.0ms

Counts
4 → 10
Calls
4 calls:
78.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
60.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
110.0ms
(/ (pow (fabs x) (+ 6 1)) 21.0)
0.0ms
(sqrt PI)

simplify1.8s

Counts
166 → 166
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03003012
16652069
223561644
done50011593

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3)))))
0.3b
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3))))) (/ (sqrt PI) 1.0))
0.3b
(/ 2.0 (/ 3.0 (pow (fabs x) 3)))
1.0b
(sqrt PI)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
402×times-frac
210×add-sqr-sqrt
209×add-cube-cbrt *-un-lft-identity
62×associate-/r*
39×sqrt-prod
36×unpow-prod-down cube-prod
19×add-exp-log
14×add-cbrt-cube
12×cube-mult unpow3 sqr-pow
10×div-exp div-inv
6×cbrt-undiv associate-/l*
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/r/
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp fma-udef
Counts
4 → 315
Calls
4 calls:
1.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3)))))
24.0ms
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3))))) (/ (sqrt PI) 1.0))
23.0ms
(/ 2.0 (/ 3.0 (pow (fabs x) 3)))
10.0ms
(sqrt PI)

series781.0ms

Counts
4 → 10
Calls
4 calls:
280.0ms
(fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3)))))
433.0ms
(/ (fma (pow (fabs x) 7) (/ 1.0 21.0) (fma (fabs x) (fma (pow (fabs x) 4) (/ 1.0 5.0) 2.0) (/ 2.0 (/ 3.0 (pow (fabs x) 3))))) (/ (sqrt PI) 1.0))
68.0ms
(/ 2.0 (/ 3.0 (pow (fabs x) 3)))
0.0ms
(sqrt PI)

simplify2.7s

Counts
325 → 325
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
053610436
110689688
237899280
done50009280

prune2.4s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes365.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02954
14154
done4154

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.3s13943×body80valid