Details

Time bar (total: 17.5s)

sample54.0ms

Algorithm
intervals
Results
21.0ms307×body80valid
3.0ms10×body1280valid
2.0ms6×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
452213
5165813
done500013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
35.0ms
(- (/ 2.0 3.0) z)
15.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
29.0ms
(* (- y x) 6.0)
96.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series192.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
71.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
47.0ms
(* (- y x) 6.0)
53.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.2s

Counts
97 → 97
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
01561335
14491273
223031163
done50021163

prune290.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
41.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
5.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
4.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
4.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

series2.9s

Counts
4 → 12
Calls
4 calls:
1.2s
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
638.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
557.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
511.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))

simplify953.0ms

Counts
99 → 99
Iterations

Useful iterations: done (947.0ms)

IterNodesCost
01963906
14993627
218383404
done50013099

prune576.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.6b
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
68.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
6.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
6.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
594.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
600.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
616.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))
864.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify902.0ms

Counts
73 → 73
Iterations

Useful iterations: done (897.0ms)

IterNodesCost
02432619
15702539
218052381
done50022331

prune595.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
0.6b
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
0.6b
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
0.6b
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
16×cbrt-div
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 64
Calls
4 calls:
57.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
59.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
52.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
6.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

series2.4s

Counts
4 → 12
Calls
4 calls:
568.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
588.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
624.0ms
(cbrt (cbrt (+ (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)) x)))
640.0ms
(cbrt (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify607.0ms

Counts
76 → 76
Iterations

Useful iterations: done (602.0ms)

IterNodesCost
02042760
14582698
214322525
done50002311

prune634.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01544
11944
done1944

end0.0ms

sample1.2s

Algorithm
intervals
Results
641.0ms9519×body80valid
45.0ms254×body640valid
40.0ms174×body320valid
36.0ms146×body1280valid
11.0ms119×body160valid