Details

Time bar (total: 10.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms258×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
113165
217165
319165
421165
522165
done22165

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down frac-add *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
18.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
13.0ms
(* (/ 841.0 108.0) x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms
(* (/ 841.0 108.0) x)

simplify885.0ms

Counts
50 → 50
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
0979211
12468589
210568308
done50008308

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ frac-add prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 34
Calls
2 calls:
28.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
12.0ms
(/ (* 841.0 x) 108.0)

series70.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
24.0ms
(/ (* 841.0 x) 108.0)

simplify1.1s

Counts
40 → 40
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
0797422
12106759
29266519
done50016519

prune152.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)
0.3b
(* (* (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)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×*-un-lft-identity add-cube-cbrt
33×associate-*l*
29×cbrt-div
25×pow1
20×associate-*r* associate-*l/ add-exp-log
16×swap-sqr
12×unswap-sqr
11×frac-times add-cbrt-cube pow-prod-down
10×prod-exp cbrt-unprod
7×frac-add associate-*r/
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 +-commutative sum-log flip3-+ pow-plus flip-+
Counts
4 → 159
Calls
4 calls:
81.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
17.0ms
(* (cbrt (/ 841.0 108.0)) x)
83.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
25.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series349.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
58.0ms
(* (cbrt (/ 841.0 108.0)) x)
124.0ms
(* (* (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
023554209
152051888
2250651768
done500146208

prune693.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))
0.2b
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
0.2b
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
19.8b
(/ (+ (* (* (/ 841.0 108.0) x) (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))) (* (/ 4.0 29.0) (* (/ 4.0 29.0) (/ 4.0 29.0)))) (+ (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0))) (* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))))

rewrite659.0ms

Algorithm
rewrite-expression-head
Rules
183×associate-*r/
91×frac-times associate-*l/
84×pow1
83×add-cbrt-cube add-exp-log
70×frac-add
51×associate-/l/
44×prod-exp cbrt-unprod
35×pow-prod-down
25×add-sqr-sqrt
23×associate-/r/
20×*-un-lft-identity add-cube-cbrt
19×times-frac
15×associate-*l*
14×cbrt-undiv div-exp
8×flip3-- pow-sqr pow-prod-up frac-sub flip--
5×associate-*r*
4×pow-plus add-log-exp
3×associate-/r* *-commutative associate-/l*
2×pow2 distribute-rgt-in sub-neg distribute-lft-in flip3-+ swap-sqr flip-+ div-inv unswap-sqr
1×clear-num frac-2neg
Counts
4 → 237
Calls
4 calls:
79.0ms
(* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))
48.0ms
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
36.0ms
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
475.0ms
(/ (+ (* (* (/ 841.0 108.0) x) (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))) (* (/ 4.0 29.0) (* (/ 4.0 29.0) (/ 4.0 29.0)))) (+ (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0))) (* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))
31.0ms
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
30.0ms
(* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))
176.0ms
(/ (+ (* (* (/ 841.0 108.0) x) (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0)))) (* (/ 4.0 29.0) (* (/ 4.0 29.0) (/ 4.0 29.0)))) (+ (* (* x (/ 841.0 108.0)) (* x (/ 841.0 108.0))) (* (/ 4.0 29.0) (- (/ 4.0 29.0) (* (/ 841.0 108.0) x)))))

simplify1.5s

Counts
249 → 249
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0332102736
198291878
done500187397

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09165
111165
done11165

end0.0ms

sample489.0ms

Algorithm
intervals
Results
348.0ms8009×body80valid
0.0ms2×body1280valid