Details

Time bar (total: 5.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1139
2169
3189
4209
5219
done219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms
(* (/ 841.0 108.0) x)

series54.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms
(* (/ 841.0 108.0) x)

simplify1.3s

Counts
50 → 50
Iterations

Useful iterations: 3 (308.0ms)

IterNodesCost
097463
1244443
2760403
32808401
done5000401

prune99.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×associate-*r/ 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:
7.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms
(* 841.0 (/ x 108.0))

series52.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms
(* 841.0 (/ x 108.0))

simplify1.7s

Counts
50 → 50
Iterations

Useful iterations: 3 (411.0ms)

IterNodesCost
099479
1257447
2926409
33764407
done5000407

prune89.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×associate-*l*
11×times-frac
10×pow1
8×sqrt-prod
7×prod-exp cbrt-unprod
5×associate-*r/ add-log-exp
4×pow-prod-down unswap-sqr
2×cbrt-undiv div-exp *-commutative
1×+-commutative flip3-+ frac-add sum-log flip-+ div-inv
Counts
3 → 73
Calls
3 calls:
16.0ms
(+ (* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0))) (/ 4.0 29.0))
9.0ms
(* (sqrt 841.0) (/ x 108.0))
15.0ms
(* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ (* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0))) (/ 4.0 29.0))
61.0ms
(* (sqrt 841.0) (/ x 108.0))
89.0ms
(* (sqrt 841.0) (* (sqrt 841.0) (/ x 108.0)))

simplify585.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
01251008
1337764
21381680
done5000680

prune148.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

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)
0.6b
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite36.0ms

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:
6.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
7.0ms
(* (* 841.0 x) 29.0)
22.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series105.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
17.0ms
(* (* 841.0 x) 29.0)
55.0ms
(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify459.0ms

Counts
61 → 61
Iterations

Useful iterations: done (457.0ms)

IterNodesCost
0105818
1293791
21147675
done5001671

prune108.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample243.0ms

Algorithm
intervals
Results
160.0ms8008×body80valid
0.0ms4×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid