Details

Time bar (total: 13.5s)

sample36.0ms

Algorithm
intervals
Results
15.0ms322×body80valid

simplify252.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3287
4397
5447
6497
7587
8757
9917
101027
111047
121087
131097
done1097

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
43.0ms
(+ x (/ (- y x) z))
34.0ms
(/ (- y x) z)

series73.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) z))
39.0ms
(/ (- y x) z)

simplify1.5s

Counts
57 → 57
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
094588
1222544
2584520
32065520
done5000520

prune162.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt
10×times-frac
9×add-log-exp
5×distribute-lft-out--
4×add-cube-cbrt difference-of-squares
2×pow1 add-exp-log sub-neg associate-+r+ diff-log sum-log add-cbrt-cube div-inv distribute-lft-out
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 40
Calls
2 calls:
92.0ms
(+ x (- (/ y z) (/ x z)))
26.0ms
(- (/ y z) (/ x z))

series70.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (- (/ y z) (/ x z)))
32.0ms
(- (/ y z) (/ x z))

simplify1.2s

Counts
46 → 46
Iterations

Useful iterations: done (1.2s)

IterNodesCost
077555
1180525
2450505
31560505
done5000503

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- y x)) (cbrt (- y x)))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
53.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
5.0ms
(cbrt (- y x))
9.0ms
(cbrt (- y x))
9.0ms
(cbrt (- y x))

series862.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
224.0ms
(cbrt (- y x))
202.0ms
(cbrt (- y x))
225.0ms
(cbrt (- y x))

simplify3.2s

Counts
113 → 113
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01311384
12621281
26171223
313401128
435251080
done50001032

prune514.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (/ y z) (/ x z))) (cbrt (- (/ y z) (/ x z))))
4.0b
(cbrt (- (/ y z) (/ x z)))
4.0b
(cbrt (- (/ y z) (/ x z)))
4.0b
(cbrt (- (/ y z) (/ x z)))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
121×add-sqr-sqrt
92×cbrt-prod
91×*-un-lft-identity
70×times-frac
52×cbrt-div
30×distribute-lft-out--
29×add-cube-cbrt
28×difference-of-squares
17×swap-sqr
16×frac-times
15×associate-*r* associate-*l*
14×div-inv
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
7×distribute-rgt-out--
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 165
Calls
4 calls:
230.0ms
(* (cbrt (- (/ y z) (/ x z))) (cbrt (- (/ y z) (/ x z))))
41.0ms
(cbrt (- (/ y z) (/ x z)))
34.0ms
(cbrt (- (/ y z) (/ x z)))
20.0ms
(cbrt (- (/ y z) (/ x z)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (- (/ y z) (/ x z))) (cbrt (- (/ y z) (/ x z))))
138.0ms
(cbrt (- (/ y z) (/ x z)))
173.0ms
(cbrt (- (/ y z) (/ x z)))
186.0ms
(cbrt (- (/ y z) (/ x z)))

simplify1.8s

Counts
177 → 177
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02503767
14553562
211003407
324443195
done50013029

prune749.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample1.4s

Algorithm
intervals
Results
386.0ms10010×body80valid