Details

Time bar (total: 16.6s)

sample38.0ms

Algorithm
intervals
Results
19.0ms367×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
15.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite85.0ms

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:
46.0ms
(* (* z z) (+ z 1.0))
35.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series171.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (* z z) (+ z 1.0))
93.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.2s

Counts
57 → 57
Iterations
IterNodes
done5000
23520
1389
0112

prune222.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 2 expressions with local error:

7.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.8b
(/ x (* z z))

rewrite56.0ms

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:
45.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
30.0ms
(/ x (* z z))

simplify2.5s

Counts
80 → 80
Iterations
IterNodes
done5000
23579
1489
0150

prune531.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)

rewrite25.0ms

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:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (cbrt x) (cbrt x))
299.0ms
(cbrt x)
360.0ms
(cbrt x)
300.0ms
(cbrt x)

simplify1.7s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune500.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log 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)

series1.1s

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt x)
263.0ms
(cbrt x)
278.0ms
(cbrt x)
313.0ms
(cbrt x)

simplify1.7s

Counts
56 → 56
Iterations
IterNodes
done5002
52939
4859
3326
2113
144
024

prune350.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes867.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample999.0ms

Algorithm
intervals
Results
683.0ms10824×body80valid