Details

Time bar (total: 7.0s)

sample25.0ms

Algorithm
intervals
Results
9.0ms307×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2247
3467
4677
5717
done717

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize8.0ms

Local error

Found 1 expressions with local error:

2.4b
(* x (- 1.0 (* y z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
29.0ms
(* x (- 1.0 (* y z)))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(* x (- 1.0 (* y z)))

simplify1.6s

Counts
27 → 27
Iterations

Useful iterations: 3 (667.0ms)

IterNodesCost
051267
1132264
2529234
32615232
done5000232

prune56.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 1 expressions with local error:

5.1b
(* (- (* y z)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
associate-*l*
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
distribute-lft-neg-out distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
11.0ms
(* (- (* y z)) x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (- (* y z)) x)

simplify656.0ms

Counts
25 → 25
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
042195
1102188
2757168
done5000166

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
10.6b
(cbrt (- (* y z)))
10.6b
(cbrt (- (* y z)))
10.6b
(cbrt (- (* y z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×pow1 add-exp-log
10×add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3
associate-*r* associate-*l* *-commutative
Counts
4 → 64
Calls
4 calls:
70.0ms
(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
3.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))
2.0ms
(cbrt (- (* y z)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (* (cbrt (- (* y z))) (cbrt (- (* y z)))) (* (cbrt (- (* y z))) x))
114.0ms
(cbrt (- (* y z)))
103.0ms
(cbrt (- (* y z)))
107.0ms
(cbrt (- (* y z)))

simplify835.0ms

Counts
76 → 76
Iterations

Useful iterations: done (833.0ms)

IterNodesCost
0861029
1211991
2777677
done5000577

prune262.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y))
0.6b
(cbrt z)
10.6b
(cbrt (- (* y z)))
10.6b
(cbrt (- (* y z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
distribute-lft-neg-in distribute-rgt-neg-in
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
neg-mul-1
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (- y))
1.0ms
(cbrt z)
3.0ms
(cbrt (- (* y z)))
3.0ms
(cbrt (- (* y z)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (- y))
267.0ms
(cbrt z)
127.0ms
(cbrt (- (* y z)))
120.0ms
(cbrt (- (* y z)))

simplify636.0ms

Counts
69 → 69
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
091503
1166488
2354450
31115419
done5001411

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

92.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01942
13633
24933
35333
done5333

end0.0ms

sample794.0ms

Algorithm
intervals
Results
332.0ms9580×body80valid