Details

Time bar (total: 7.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms269×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
23611
35611
48211
510011
done10011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

2.6b
(* y (+ 1.0 (* z z)))
4.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series132.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* y (+ 1.0 (* z z)))
69.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
01561062
14081035
21361887
done5000887

prune187.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
5.2b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) y)
17.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (/ 1.0 x) y)
65.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify1.3s

Counts
270 → 270
Iterations

Useful iterations: 2 (802.0ms)

IterNodesCost
04765656
111295375
236025245
done50005245

prune806.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1.0 x) (/ 1 y))
5.2b
(/ (* (/ 1.0 x) (/ 1 y)) (+ 1.0 (* z z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
35×add-sqr-sqrt
32×add-cbrt-cube
28×times-frac
25×div-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×prod-exp
13×cbrt-undiv associate-*r* associate-*l*
8×cbrt-unprod
6×unswap-sqr
4×pow1 rec-exp 1-exp associate-/l/
3×associate-/r* div-inv
2×frac-times associate-*r/ associate-*l/ associate-/r/ un-div-inv add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ associate-/l*
Counts
2 → 94
Calls
2 calls:
13.0ms
(* (/ 1.0 x) (/ 1 y))
10.0ms
(/ (* (/ 1.0 x) (/ 1 y)) (+ 1.0 (* z z)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (/ 1.0 x) (/ 1 y))
66.0ms
(/ (* (/ 1.0 x) (/ 1 y)) (+ 1.0 (* z z)))

simplify858.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (312.0ms)

IterNodesCost
01831374
15571154
21888906
done5001906

prune187.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
16.5b
(sqrt (+ 1.0 (* z z)))
16.5b
(sqrt (+ 1.0 (* z z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log sqrt-div add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-+
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
187.0ms
(cbrt x)
45.0ms
(sqrt (+ 1.0 (* z z)))
49.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: 3 (279.0ms)

IterNodesCost
081558
1171498
2458458
31610448
done5000448

prune224.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.7b

regimes173.0ms

Accuracy

0% (1.6b remaining)

Error of 6.6b against oracle of 5.0b and baseline of 6.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11513
done1513

end0.0ms

sample425.0ms

Algorithm
intervals
Results
240.0ms8657×body80valid