Details

Time bar (total: 7.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms308×body80valid

simplify844.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2177
3317
4427
5497
6587
7767
8967
91187
101347
111487
121567
131707
141857
152007
162627
172997
183827
194107
204577
214617
done4617

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
20.0ms
(* (- y x) z)
7.0ms
(+ x (* (- y x) z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (- y x) z)
34.0ms
(+ x (* (- y x) z))

simplify1.0s

Counts
39 → 39
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
068357
1164337
2504303
31870303
done5000303

prune71.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))

rewrite43.0ms

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:
31.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
3.0ms
(cbrt (+ x (* (- y x) z)))
3.0ms
(cbrt (+ x (* (- y x) z)))
3.0ms
(cbrt (+ x (* (- y x) z)))

series923.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
202.0ms
(cbrt (+ x (* (- y x) z)))
199.0ms
(cbrt (+ x (* (- y x) z)))
199.0ms
(cbrt (+ x (* (- y x) z)))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01422316
13282135
28461995
324091666
done50011597

prune223.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (+ x (* (- y x) z))))
0.5b
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
24×add-sqr-sqrt
18×cbrt-div
16×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
3×sqrt-prod
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
4.0ms
(cbrt (sqrt (+ x (* (- y x) z))))
27.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
3.0ms
(cbrt (+ x (* (- y x) z)))
3.0ms
(cbrt (+ x (* (- y x) z)))

series926.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (sqrt (+ x (* (- y x) z))))
325.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
199.0ms
(cbrt (+ x (* (- y x) z)))
202.0ms
(cbrt (+ x (* (- y x) z)))

simplify1.5s

Counts
102 → 102
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01832397
14052205
29962063
327801744
done50001676

prune268.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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
187
done87

end0.0ms

sample448.0ms

Algorithm
intervals
Results
182.0ms10012×body80valid