Details

Time bar (total: 30.5s)

sample76.0ms

Algorithm
intervals
Results
54.0ms452×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (250.0ms)

IterNodesCost
02867
17066
225047
3104235
done500035

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
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×sqrt-prod *-commutative
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:
21.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0s
(* (/ 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)))
3.0ms
(sqrt PI)

series175.0ms

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)))
64.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify4.6s

Counts
145 → 145
Iterations

Useful iterations: done (4.6s)

IterNodesCost
02242536
16441786
241651220
done50001169

prune808.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
0.2b
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b
(sqrt PI)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
75×add-exp-log add-cbrt-cube
53×pow1
45×prod-exp cbrt-unprod
27×associate-*l*
24×add-sqr-sqrt pow-prod-down
21×add-cube-cbrt *-un-lft-identity
18×times-frac
10×pow-prod-up
8×cbrt-undiv div-exp associate-*r*
7×sqrt-prod
5×sqrt-pow1 pow1/2
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow2 pow-plus associate-*l/ pow-sqr div-inv unswap-sqr
1×rem-sqrt-square
Counts
4 → 138
Calls
4 calls:
992.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
42.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
92.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(sqrt PI)

series262.0ms

Counts
4 → 10
Calls
4 calls:
101.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
93.0ms
(* (* (fabs x) (fabs x)) (sqrt (fabs x)))
67.0ms
(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify7.1s

Counts
148 → 148
Iterations

Useful iterations: 2 (960.0ms)

IterNodesCost
02352563
16971908
249371321
done50001321

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow (fabs x) 6) (/ 1.0 21.0))
0.1b
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
0.2b
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (sqrt PI) 1.0))
1.0b
(sqrt PI)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
103×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
39×sqrt-prod
22×add-exp-log associate-/r*
14×add-cbrt-cube
13×associate-*r*
7×associate-*l*
6×div-exp prod-exp div-inv unswap-sqr
5×pow1 unpow-prod-down
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l* sqr-pow
2×pow-to-exp pow-exp cbrt-unprod
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ clear-num associate-/r/ *-commutative fma-udef
Counts
4 → 178
Calls
4 calls:
29.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
1.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
34.0ms
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (sqrt PI) 1.0))
2.0ms
(sqrt PI)

series745.0ms

Counts
4 → 10
Calls
4 calls:
87.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
165.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
492.0ms
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (sqrt PI) 1.0))
0.0ms
(sqrt PI)

simplify3.2s

Counts
188 → 188
Iterations

Useful iterations: 2 (836.0ms)

IterNodesCost
03287645
18257445
249407138
done50007138

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
0.2b
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) 1.0))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×associate-/r*
6×pow1 sqrt-prod
5×cbrt-undiv div-exp div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod fma-udef
Counts
4 → 90
Calls
4 calls:
0.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
48.0ms
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) 1.0))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)

series632.0ms

Counts
4 → 8
Calls
4 calls:
198.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
433.0ms
(/ (fma (pow (fabs x) 3) (/ 2.0 3.0) (* (fabs x) (+ 2.0 (fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))))) (/ (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) 1.0))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01743586
14193247
216672950
done50002865

prune806.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes340.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02867
14167
done4167

end0.0ms

sample3.5s

Algorithm
intervals
Results
3.2s14099×body80valid