Details

Time bar (total: 16.0s)

sample33.0ms

Algorithm
intervals
Results
13.0ms356×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51299
62979
78239
826799
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.3b
(/ (* (- y x) z) t)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
28.0ms
(* (- y x) z)
9.0ms
(+ x (/ (* (- y x) z) t))
23.0ms
(/ (* (- y x) z) t)

series148.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (- y x) z)
42.0ms
(+ x (/ (* (- y x) z) t))
52.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
66 → 66
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
0110688
1292653
21514583
done5001583

prune157.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
9.4b
(/ (- y x) (/ t z))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
47.0ms
(+ x (/ (- y x) (/ t z)))
20.0ms
(/ (- y x) (/ t z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (/ (- y x) (/ t z)))
70.0ms
(/ (- y x) (/ t z))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: 2 (426.0ms)

IterNodesCost
02171896
16641792
230141704
done50001704

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.8b
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
3.2b
(/ (cbrt (- y x)) (/ t (cbrt z)))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
658×times-frac
408×add-sqr-sqrt *-un-lft-identity
384×cbrt-prod
318×add-cube-cbrt
181×associate-*r*
78×add-exp-log
45×distribute-lft-out-- difference-of-squares
39×prod-exp cbrt-unprod
36×add-cbrt-cube
28×associate-*l/
26×cbrt-div
22×pow1 associate-/r*
19×div-inv
18×cbrt-undiv div-exp
16×frac-times
13×flip3-- pow-prod-down flip--
8×associate-/l*
5×associate-*r/
4×add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 487
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
387.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
30.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
568.0ms
(cbrt z)
219.0ms
(cbrt z)
82.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
194.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

simplify1.4s

Counts
499 → 499
Iterations

Useful iterations: done (1.3s)

IterNodesCost
067612515
1244611873
done500011130

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
3.5b
(/ (/ t z) (cbrt (- y x)))
5.9b
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
647×times-frac
347×add-sqr-sqrt *-un-lft-identity
263×add-cube-cbrt
210×cbrt-prod
118×associate-/r*
42×distribute-lft-out-- difference-of-squares
30×add-exp-log
29×div-inv
22×cbrt-div
18×add-cbrt-cube
15×cbrt-undiv div-exp
14×associate-/l*
11×flip3-- flip--
9×associate-/l/
7×associate-/r/
4×pow1 frac-times add-log-exp
3×prod-exp cbrt-unprod
2×frac-2neg pow1/3 associate-*r/ associate-*l/ clear-num
Counts
4 → 424
Calls
4 calls:
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
28.0ms
(/ (/ t z) (cbrt (- y x)))
79.0ms
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(cbrt (- y x))
151.0ms
(cbrt (- y x))
161.0ms
(/ (/ t z) (cbrt (- y x)))
69.0ms
(/ (* (cbrt (- y x)) (cbrt (- y x))) (/ (/ t z) (cbrt (- y x))))

simplify987.0ms

Counts
436 → 436
Iterations

Useful iterations: done (972.0ms)

IterNodesCost
06219738
118489195
done50008961

prune1.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes189.0ms

Accuracy

19.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.8b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01751
12443
done2443

end0.0ms

sample1.3s

Algorithm
intervals
Results
588.0ms10704×body80valid