Details

Time bar (total: 15.0s)

sample33.0ms

Algorithm
intervals
Results
15.0ms350×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27611
316811
427211
540011
651011
775211
8178511
done500111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
32.0ms
(* (* z z) (+ z 1.0))
47.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series181.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (* z z) (+ z 1.0))
112.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.9s

Counts
57 → 57
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0112858
1389794
23604634
done5001626

prune142.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.1b
(/ x (* z z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
17.0ms
(/ y (+ z 1.0))
65.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series159.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
36.0ms
(/ x (* z z))

simplify2.0s

Counts
116 → 116
Iterations

Useful iterations: 2 (505.0ms)

IterNodesCost
01801501
15531420
238761238
done50001238

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series972.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (cbrt x) (cbrt x))
261.0ms
(cbrt x)
237.0ms
(cbrt x)
237.0ms
(cbrt x)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
061524
1139417
2735397
done5000383

prune336.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series941.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt x)
229.0ms
(cbrt x)
204.0ms
(cbrt x)
257.0ms
(cbrt x)

simplify2.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
024260
145244
2116220
3342208
4935208
53497208
done5001208

prune195.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11518
done1518

end0.0ms

sample969.0ms

Algorithm
intervals
Results
567.0ms10810×body80valid