Details

Time bar (total: 12.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms301×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
089
1169
2407
3985
44115
524425
done50005

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize4.0ms

Local error

Found 1 expressions with local error:

3.3b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(* x (/ y z))

simplify3.0s

Counts
35 → 35
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
069277
1166260
2445230
31367230
43639230
done5001230

prune71.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

3.3b
(* x (/ y z))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*r/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
7.0ms
(* x (/ y z))
2.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* x (/ y z))
78.0ms
(cbrt (* x (/ y z)))
96.0ms
(cbrt (* x (/ y z)))
79.0ms
(cbrt (* x (/ y z)))

simplify2.0s

Counts
74 → 74
Iterations

Useful iterations: 3 (310.0ms)

IterNodesCost
0104667
1230635
2620560
31938524
done5000524

prune194.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))
12.5b
(cbrt (* x (/ y z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity pow1/3 associate-*r/ add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
2.0ms
(cbrt (* x (/ y z)))
2.0ms
(cbrt (* x (/ y z)))
2.0ms
(cbrt (* x (/ y z)))
3.0ms
(cbrt (* x (/ y z)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(cbrt (* x (/ y z)))
82.0ms
(cbrt (* x (/ y z)))
81.0ms
(cbrt (* x (/ y z)))
79.0ms
(cbrt (* x (/ y z)))

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 4 (375.0ms)

IterNodesCost
050520
189508
2206456
3610424
41789376
done5000376

prune197.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.8b
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 80
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)
40.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series585.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt y)
181.0ms
(cbrt y)
177.0ms
(cbrt y)
40.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify697.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
0120995
1362939
21647663
done5001663

prune221.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

72.2% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 6.3b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

IterNodesCost
01842
12638
22932
33232
done3231

end0.0ms

sample496.0ms

Algorithm
intervals
Results
255.0ms9564×body80valid