Details

Time bar (total: 7.9s)

sample23.0ms

Algorithm
intervals
Results
8.0ms340×body80valid

simplify805.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2177
3267
4357
5417
6507
7687
8987
91257
101547
111687
121867
131997
142157
152507
163157
174157
185097
196137
206827
216867
done6867

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-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:
7.0ms
(* (- y x) z)
3.0ms
(+ x (* (- y x) z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y x) z)
8.0ms
(+ x (* (- y x) z))

simplify1.6s

Counts
39 → 39
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
068357
1163337
2485303
31962303
done5002303

prune49.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))

series104.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt z)
23.0ms
(cbrt z)
24.0ms
(cbrt z)
30.0ms
(* (cbrt z) (cbrt z))

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: 4 (616.0ms)

IterNodesCost
076590
1147521
2331462
3897382
42137374
done5000374

prune80.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.0b

Counts
89 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (cbrt (pow (* (- y x) z) 3)))
0.3b
(pow (* (- y x) z) 3)
35.3b
(cbrt (pow (* (- y x) z) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube
cbrt-prod add-cube-cbrt
associate-*l/ add-log-exp
associate-*l*
cube-div
pow-unpow flip3-- associate-*r* flip--
cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 77
Calls
4 calls:
7.0ms
(* (- y x) z)
5.0ms
(+ x (cbrt (pow (* (- y x) z) 3)))
7.0ms
(pow (* (- y x) z) 3)
3.0ms
(cbrt (pow (* (- y x) z) 3))

series50.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (- y x) z)
12.0ms
(+ x (cbrt (pow (* (- y x) z) 3)))
17.0ms
(pow (* (- y x) z) 3)
11.0ms
(cbrt (pow (* (- y x) z) 3))

simplify668.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
01381039
1326834
21202765
done5000765

prune101.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0.0b

Counts
93 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- y x))
0.0b
(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
0.1b
(* (sqrt (- y x)) z)
0.2b
(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*l* sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l/
flip3-- flip--
add-log-exp
frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-lft-out-- difference-of-squares
associate-*r/ *-commutative unswap-sqr
+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
4.0ms
(sqrt (- y x))
3.0ms
(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
8.0ms
(* (sqrt (- y x)) z)
13.0ms
(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (- y x))
8.0ms
(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
22.0ms
(* (sqrt (- y x)) z)
7.0ms
(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify2.0s

Counts
97 → 97
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01451316
1358998
21052908
33906901
done5000901

prune83.0ms

Filtered
65 candidates to 97 candidates (-49.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done033
Total974101

Merged error: 0.0b

Counts
101 → 4

regimes188.0ms

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

sample635.0ms

Algorithm
intervals
Results
245.0ms10256×body80valid

Profiling

Loading profile data...