Details

Time bar (total: 9.5s)

sample36.0ms

Algorithm
intervals
Results
16.0ms330×body80valid

simplify816.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite76.0ms

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:
46.0ms
(* (* z z) (+ z 1.0))
27.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (* z z) (+ z 1.0))
101.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify902.0ms

Counts
57 → 57

prune144.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.9b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.2b
(/ x (* z z))

rewrite97.0ms

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:
13.0ms
(/ y (+ z 1.0))
61.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
17.0ms
(/ x (* z z))

series137.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (+ z 1.0))
58.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms
(/ x (* z z))

simplify909.0ms

Counts
116 → 116

prune286.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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:
69.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series925.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (/ (cbrt x) z) (/ y (+ z 1.0)))
232.0ms
(cbrt x)
280.0ms
(cbrt x)
270.0ms
(cbrt x)

simplify704.0ms

Counts
111 → 111

prune338.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
1.9b
(* (/ (cbrt x) z) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×associate-*l*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×cbrt-prod
9×add-exp-log
8×add-cbrt-cube
6×pow1
4×add-log-exp
3×pow1/3 associate-*r* unswap-sqr
2×prod-exp cbrt-unprod
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(* (/ (cbrt x) z) y)

series811.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt x)
223.0ms
(cbrt x)
205.0ms
(cbrt x)
127.0ms
(* (/ (cbrt x) z) y)

simplify613.0ms

Counts
87 → 87

prune280.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes435.0ms

Accuracy

-214.4% (3.6b remaining)

Error of 3.6b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify574.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
575.0ms10771×body80valid