Details

Time bar (total: 15.7s)

sample30.0ms

Algorithm
intervals
Results
15.0ms342×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
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×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
24.0ms
(* (* z z) (+ z 1.0))
24.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (* z z) (+ z 1.0))
93.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
57 → 57
Iterations
IterNodes
done5030
21993
1369
0112

prune254.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 2 expressions with local error:

4.8b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.3b
(/ x (* z z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
29.0ms
(/ x (* z z))

simplify1.6s

Counts
80 → 80
Iterations
IterNodes
done5001
21892
1475
0150

prune349.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (cbrt x) (cbrt x))
233.0ms
(cbrt x)
270.0ms
(cbrt x)
335.0ms
(cbrt x)

simplify2.9s

Counts
85 → 85
Iterations
IterNodes
done5007
43735
31034
2377
1136
061

prune402.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series1.2s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt x)
317.0ms
(cbrt (cbrt x))
337.0ms
(cbrt (cbrt x))
319.0ms
(cbrt (cbrt x))

simplify1.9s

Counts
65 → 65
Iterations
IterNodes
done5002
53229
4909
3358
2170
177
042

prune327.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes355.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
899.0ms10712×body80valid