Details

Time bar (total: 16.2s)

sample85.0ms

Algorithm
intervals
Results
10.0ms341×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*r*
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
associate-*l*
associate-*r/
+-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 → 41
Calls
2 calls:
8.0ms
(+ x (* y (- z x)))
24.0ms
(* y (- z x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (* y (- z x)))
78.0ms
(* y (- z x))

simplify1.6s

Counts
47 → 47
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
073409
1173381
2506351
32212351
done5000351

prune136.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity flip3-+ unsub-neg add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
41.0ms
(+ (+ x (* z y)) (* y (- x)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+ (+ x (* z y)) (* y (- x)))

simplify2.0s

Counts
18 → 18
Iterations

Useful iterations: 3 (714.0ms)

IterNodesCost
037247
1114226
2477188
32391164
done5000164

prune38.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite33.0ms

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:
24.0ms
(* (cbrt y) (cbrt y))
2.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
429.0ms
(* (cbrt y) (cbrt y))
330.0ms
(cbrt y)
285.0ms
(cbrt y)
360.0ms
(cbrt y)

simplify5.4s

Counts
85 → 85
Iterations

Useful iterations: done (5.4s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune249.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt y) (- z x))
0.3b
(* (cbrt (* y y)) (* (cbrt y) (- z x)))
0.6b
(cbrt y)
25.8b
(cbrt (* y y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity
10×distribute-rgt-in distribute-lft-in associate-*l*
cbrt-prod add-cube-cbrt
add-cbrt-cube
sub-neg associate-*r/ associate-*r*
pow-prod-down prod-exp cbrt-unprod add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
47.0ms
(* (cbrt y) (- z x))
78.0ms
(* (cbrt (* y y)) (* (cbrt y) (- z x)))
1.0ms
(cbrt y)
6.0ms
(cbrt (* y y))

series805.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt y) (- z x))
89.0ms
(* (cbrt (* y y)) (* (cbrt y) (- z x)))
280.0ms
(cbrt y)
240.0ms
(cbrt (* y y))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0124905
1278856
2994789
done5000773

prune328.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0810
11410
21810
31910
done1910

end0.0ms

sample934.0ms

Algorithm
intervals
Results
463.0ms10106×body80valid