Details

Time bar (total: 10.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms377×body80valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424311
529911
635111
747911
899011
9360011
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
17.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite27.0ms

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:
14.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* z z) (+ z 1.0))
71.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify952.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
0112858
1369794
21968626
done5000626

prune108.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.5b
(/ x (* z z))

rewrite38.0ms

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:
5.0ms
(/ y (+ z 1.0))
23.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
22.0ms
(/ x (* z z))

simplify926.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (322.0ms)

IterNodesCost
01801501
15191416
220201228
done50001228

prune246.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
37×times-frac
34×*-un-lft-identity
28×add-cube-cbrt
22×associate-*l*
20×cbrt-prod
18×associate-*r*
16×add-exp-log
14×add-cbrt-cube
6×pow1 unswap-sqr
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 99
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
26.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
190.0ms
(cbrt x)
172.0ms
(cbrt x)
123.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))

simplify744.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01801233
15201173
218481057
done50001057

prune330.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
16×add-exp-log
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 78
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
22.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

series664.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
183.0ms
(cbrt x)
179.0ms
(cbrt x)
121.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt x) z))

simplify1.5s

Counts
90 → 90
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
0135859
1381813
21309719
done5000719

prune281.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01525
11925
done1925

end0.0ms

sample517.0ms

Algorithm
intervals
Results
301.0ms10819×body80valid