Details

Time bar (total: 5.3s)

sample28.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify49.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite99.0ms

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:
61.0ms
(* (* z z) (+ z 1.0))
35.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (* z z) (+ z 1.0))
109.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify50.0ms

Counts
57 → 57

prune189.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.5b
(/ x (* z z))

rewrite83.0ms

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:
18.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0ms
(/ x (* z z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ y (+ z 1.0))
85.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
31.0ms
(/ x (* z z))

simplify53.0ms

Counts
116 → 116

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
78.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series836.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt x)
276.0ms
(cbrt x)
233.0ms
(cbrt x)
82.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify75.0ms

Counts
100 → 100

prune298.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series983.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
264.0ms
(cbrt z)
208.0ms
(cbrt z)
245.0ms
(cbrt z)

simplify106.0ms

Counts
56 → 56

prune266.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes188.0ms

Accuracy

-269.5% (3.8b remaining)

Error of 4.1b against oracle of 0.2b and baseline of 1.3b

bsearch0.0ms

simplify66.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
608.0ms10784×body80valid