Details

Time bar (total: 11.7s)

sample37.0ms

Algorithm
intervals
Results
17.0ms272×body80valid

simplify122.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
23711
35811
48711
511111
done11111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
6.0b
(* y (+ 1.0 (* z z)))

rewrite70.0ms

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:
29.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
38.0ms
(* y (+ 1.0 (* z z)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
91.0ms
(* y (+ 1.0 (* z z)))

simplify1.6s

Counts
76 → 76
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01561062
13951035
21321887
done5000885

prune248.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 2 expressions with local error:

3.9b
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
4.2b
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
199×add-sqr-sqrt
152×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
72×associate-*r*
28×add-exp-log add-cbrt-cube
22×associate-*l* associate-/l*
12×cbrt-undiv div-exp unswap-sqr
10×div-inv
6×prod-exp cbrt-unprod
4×pow1 associate-/r/
3×associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 238
Calls
2 calls:
128.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
32.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

series415.0ms

Counts
2 → 6
Calls
2 calls:
258.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
157.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

simplify1.8s

Counts
244 → 244
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03635187
110584711
235404441
done50004401

prune793.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
3.4b
(* (/ (sqrt 1.0) y) (/ (/ (sqrt (sqrt 1.0)) (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (* z z)))))
17.3b
(sqrt (+ 1.0 (* z z)))
17.3b
(sqrt (+ 1.0 (* z z)))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
169×add-sqr-sqrt
147×sqrt-prod
84×associate-*r*
71×add-cube-cbrt *-un-lft-identity
36×add-exp-log
32×add-cbrt-cube
27×unswap-sqr
22×associate-*l*
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
8×pow1 div-inv
6×sqrt-div
4×add-log-exp
3×cbrt-prod flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 202
Calls
4 calls:
1.0ms
(cbrt x)
184.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt (sqrt 1.0)) (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (* z z)))))
9.0ms
(sqrt (+ 1.0 (* z z)))
9.0ms
(sqrt (+ 1.0 (* z z)))

series769.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt x)
370.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt (sqrt 1.0)) (* (cbrt x) (cbrt x))) (sqrt (+ 1.0 (* z z)))))
58.0ms
(sqrt (+ 1.0 (* z z)))
66.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.5s

Counts
214 → 214
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03465070
110124668
236534074
done50004061

prune856.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1.0 (* x y))
7.5b
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod add-log-exp
1×flip3-+ flip-+ associate-/l/
Counts
2 → 71
Calls
2 calls:
12.0ms
(/ 1.0 (* x y))
29.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

series119.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (* x y))
88.0ms
(/ (/ 1.0 (* x y)) (+ 1.0 (* z z)))

simplify1.4s

Counts
77 → 77
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01401176
13491141
211391023
done50001021

prune176.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.7b

regimes293.0ms

Accuracy

0% (1.3b remaining)

Error of 6.0b against oracle of 4.7b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample819.0ms

Algorithm
intervals
Results
449.0ms8613×body80valid