Details

Time bar (total: 39.0s)

sample79.0ms

Algorithm
intervals
Results
53.0ms443×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 3 (505.0ms)

IterNodesCost
02867
17066
225047
3104235
done500035

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.2s

Algorithm
rewrite-expression-head
Rules
131×add-exp-log add-cbrt-cube
88×prod-exp cbrt-unprod
62×pow1
48×associate-*l*
44×pow-prod-down
42×add-sqr-sqrt
38×times-frac
33×add-cube-cbrt *-un-lft-identity
15×associate-*l/
13×cbrt-undiv div-exp sqrt-prod
12×frac-add
6×frac-times flip3-+ associate-*r/ flip-+
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative div-inv unswap-sqr
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 183
Calls
4 calls:
1.9s
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
14.4s
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
854.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms
(sqrt PI)

series650.0ms

Counts
4 → 10
Calls
4 calls:
491.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
94.0ms
(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
65.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify889.0ms

Counts
193 → 193
Iterations

Useful iterations: done (878.0ms)

IterNodesCost
03869744
114196848
done50015232

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 5.0) (fabs x))
0.4b
(* (/ 1.0 21.0) (fabs x))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
26×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
14×add-exp-log add-cbrt-cube
10×pow1
6×associate-*r* sqrt-prod
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
15.0ms
(* (/ 1.0 5.0) (fabs x))
24.0ms
(* (/ 1.0 21.0) (fabs x))
3.0ms
(sqrt PI)
3.0ms
(sqrt PI)

series46.0ms

Counts
4 → 8
Calls
4 calls:
27.0ms
(* (/ 1.0 5.0) (fabs x))
19.0ms
(* (/ 1.0 21.0) (fabs x))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify1.4s

Counts
106 → 106
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0163840
1366784
21719728
done5001720

prune974.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 21.0) (cbrt 21.0))) (/ (* (cbrt 1.0) (* (fabs x) (pow (fabs x) (* 2 3)))) (cbrt 21.0)))))
0.1b
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b
(* (cbrt 21.0) (cbrt 21.0))
1.0b
(sqrt PI)

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
54×add-cbrt-cube
51×add-sqr-sqrt
41×associate-*l*
36×frac-add
34×pow1 add-cube-cbrt *-un-lft-identity
33×prod-exp cbrt-unprod
29×times-frac
22×frac-times associate-*r/ associate-*l/
18×pow-prod-down
16×cbrt-prod
14×flip3-+ flip-+
13×sqrt-prod
10×associate-*r*
7×unswap-sqr
6×cbrt-undiv pow1/3 swap-sqr div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow-plus pow1/2
Counts
4 → 181
Calls
4 calls:
750.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 21.0) (cbrt 21.0))) (/ (* (cbrt 1.0) (* (fabs x) (pow (fabs x) (* 2 3)))) (cbrt 21.0)))))
1.0s
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
23.0ms
(* (cbrt 21.0) (cbrt 21.0))
2.0ms
(sqrt PI)

series737.0ms

Counts
4 → 8
Calls
4 calls:
667.0ms
(* (/ 1.0 (sqrt PI)) (+ (+ (+ (* 2.0 (fabs x)) (* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 21.0) (cbrt 21.0))) (/ (* (cbrt 1.0) (* (fabs x) (pow (fabs x) (* 2 3)))) (cbrt 21.0)))))
70.0ms
(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms
(* (cbrt 21.0) (cbrt 21.0))
0.0ms
(sqrt PI)

simplify1.0s

Counts
189 → 189
Iterations

Useful iterations: done (993.0ms)

IterNodesCost
039711099
114928566
done50007540

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

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)))
0.1b
(* (pow (fabs x) 6) (/ 1.0 21.0))
0.4b
(/ (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)

rewrite70.0ms

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:
0.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
48.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
12.0ms
(/ (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)

series734.0ms

Counts
4 → 10
Calls
4 calls:
161.0ms
(fma (/ 1.0 5.0) (pow (fabs x) 4) (* (pow (fabs x) 6) (/ 1.0 21.0)))
96.0ms
(* (pow (fabs x) 6) (/ 1.0 21.0))
477.0ms
(/ (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)

simplify2.7s

Counts
188 → 188
Iterations

Useful iterations: 2 (925.0ms)

IterNodesCost
03287645
18247445
249257134
done50007134

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
03250
14546
done4546

end0.0ms

sample3.8s

Algorithm
intervals
Results
3.4s13943×body80valid