Details

Time bar (total: 16.1s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
2179
3199
4219
5229
done229

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 841.0 108.0) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
16.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

series76.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
29.0ms
(* (/ 841.0 108.0) x)

simplify3.2s

Counts
50 → 50
Iterations

Useful iterations: 3 (908.0ms)

IterNodesCost
097463
1241443
2693403
32086401
done5000401

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.4b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×add-cube-cbrt *-un-lft-identity
33×associate-*l*
29×cbrt-div
25×pow1
20×add-exp-log associate-*r* associate-*l/
16×swap-sqr
12×unswap-sqr
11×frac-times pow-prod-down add-cbrt-cube
10×prod-exp cbrt-unprod
7×associate-*r/ frac-add
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 159
Calls
4 calls:
128.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
36.0ms
(* (cbrt (/ 841.0 108.0)) x)
80.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
60.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series376.0ms

Counts
4 → 10
Calls
4 calls:
181.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
56.0ms
(* (cbrt (/ 841.0 108.0)) x)
139.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify2.4s

Counts
169 → 169
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02352594
14822445
215352013
done50001855

prune565.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.3b
(* (* 841.0 x) 29.0)
0.4b
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
1×+-commutative frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative div-inv
Counts
3 → 52
Calls
3 calls:
18.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
19.0ms
(* (* 841.0 x) 29.0)
72.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series158.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
18.0ms
(* (* 841.0 x) 29.0)
74.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify4.3s

Counts
61 → 61
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
0105818
1288791
21095675
34630671
done5002671

prune118.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ 841.0 108.0))
0.3b
(* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))
0.3b
(pow (* x (/ 841.0 108.0)) 3)
17.7b
(/ (+ (pow (* x (/ 841.0 108.0)) 3) (pow (/ 4.0 29.0) 3)) (- (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*r/
32×*-un-lft-identity
29×add-sqr-sqrt frac-sub
26×add-exp-log add-cbrt-cube
25×times-frac
24×add-cube-cbrt
23×associate-/r/
19×frac-times
16×associate-*r*
14×pow1
11×associate-*l/
9×flip3-- prod-exp flip-- cbrt-unprod
5×pow-prod-down associate-/l*
4×cbrt-undiv div-exp associate-*l* sum-cubes distribute-lft-out add-log-exp
3×cube-div pow-unpow pow-exp associate-/r* associate-/l/ rem-cube-cbrt
2×distribute-rgt-in sub-neg pow-pow distribute-lft-in *-commutative div-inv unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg flip3-+ unpow3 cube-prod frac-add clear-num flip-+ sqr-pow
Counts
4 → 149
Calls
4 calls:
22.0ms
(* x (/ 841.0 108.0))
99.0ms
(* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))
10.0ms
(pow (* x (/ 841.0 108.0)) 3)
151.0ms
(/ (+ (pow (* x (/ 841.0 108.0)) 3) (pow (/ 4.0 29.0) 3)) (- (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* x (/ 841.0 108.0))
105.0ms
(* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))
44.0ms
(pow (* x (/ 841.0 108.0)) 3)
184.0ms
(/ (+ (pow (* x (/ 841.0 108.0)) 3) (pow (/ 4.0 29.0) 3)) (- (* (/ 4.0 29.0) (/ 4.0 29.0)) (* (* x (/ 841.0 108.0)) (- (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

simplify2.4s

Counts
161 → 161
Iterations

Useful iterations: 2 (823.0ms)

IterNodesCost
03214706
18554482
235894162
done50004162

prune642.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample490.0ms

Algorithm
intervals
Results
326.0ms8007×body80valid
0.0ms2×body640valid
0.0ms2×body160valid