Details

Time bar (total: 9.5s)

sample30.0ms

Algorithm
intervals
Results
12.0ms337×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
312
211
19
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
12.6b
(/ (* y y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ x (/ (* y y) z))
11.0ms
(/ (* y y) z)

series82.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (/ (* y y) z))
40.0ms
(/ (* y y) z)

simplify912.0ms

Counts
39 → 39
Iterations
IterNodes
done5002
2843
1209
067

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ y (/ z y)))
0.2b
(/ y (/ z y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
7×add-cbrt-cube add-exp-log
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1
1×+-commutative clear-num sum-log frac-2neg flip3-+ associate-/r/ flip-+ distribute-lft-out
Counts
2 → 82
Calls
2 calls:
20.0ms
(+ x (/ y (/ z y)))
7.0ms
(/ y (/ z y))

series54.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ y (/ z y)))
21.0ms
(/ y (/ z y))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
21400
1422
0166

prune459.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (/ y z)))
0.1b
(* y (/ y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 43
Calls
2 calls:
4.0ms
(+ x (* y (/ y z)))
14.0ms
(* y (/ y z))

series56.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* y (/ y z)))
22.0ms
(* y (/ y z))

simplify1.9s

Counts
49 → 49
Iterations
IterNodes
done5020
33605
2752
1229
086

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* y (/ y z))))
0.5b
(cbrt (+ x (* y (/ y z))))
0.5b
(cbrt (+ x (* y (/ y z))))
0.5b
(* (cbrt (+ x (* y (/ y z)))) (cbrt (+ x (* y (/ y z)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (+ x (* y (/ y z))))
2.0ms
(cbrt (+ x (* y (/ y z))))
2.0ms
(cbrt (+ x (* y (/ y z))))
22.0ms
(* (cbrt (+ x (* y (/ y z)))) (cbrt (+ x (* y (/ y z)))))

series948.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt (+ x (* y (/ y z))))
229.0ms
(cbrt (+ x (* y (/ y z))))
269.0ms
(cbrt (+ x (* y (/ y z))))
265.0ms
(* (cbrt (+ x (* y (/ y z)))) (cbrt (+ x (* y (/ y z)))))

simplify2.0s

Counts
99 → 99
Iterations
IterNodes
done5000
32284
2801
1309
0135

prune470.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample630.0ms

Algorithm
intervals
Results
345.0ms10670×body80valid