Details

Time bar (total: 9.5s)

sample45.0ms

Algorithm
intervals
Results
25.0ms273×body80valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
23711
35911
48811
511111
done11111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize20.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.3b
(* y (+ 1.0 (* z z)))

rewrite64.0ms

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:
31.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
28.0ms
(* y (+ 1.0 (* z z)))

series211.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
101.0ms
(* y (+ 1.0 (* z z)))

simplify1.2s

Counts
76 → 76
Iterations

Useful iterations: 2 (446.0ms)

IterNodesCost
01561062
14391035
22200897
done5002897

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
2.6b
(* x (* y (+ 1.0 (* z z))))
3.3b
(* y (+ 1.0 (* z z)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt associate-*r/
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*l*
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
24.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
30.0ms
(* x (* y (+ 1.0 (* z z))))
16.0ms
(* y (+ 1.0 (* z z)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ 1.0 (* x (* y (+ 1.0 (* z z)))))
97.0ms
(* x (* y (+ 1.0 (* z z))))
93.0ms
(* y (+ 1.0 (* z z)))

simplify1.0s

Counts
80 → 80
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01241034
13651010
22134836
done5000824

prune223.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 2 expressions with local error:

2.7b
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
3.7b
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

rewrite172.0ms

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:
109.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
30.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

series387.0ms

Counts
2 → 6
Calls
2 calls:
223.0ms
(* (/ (sqrt 1.0) y) (/ (/ (sqrt 1.0) x) (+ 1.0 (* z z))))
164.0ms
(/ (/ (sqrt 1.0) x) (+ 1.0 (* z z)))

simplify658.0ms

Counts
244 → 244
Iterations

Useful iterations: done (649.0ms)

IterNodesCost
03635187
112184879
done50004645

prune992.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b
(* y (+ 1.0 (* z z)))
21.6b
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
21.6b
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
21.6b
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
57×cbrt-prod
32×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
8×associate-*r/
6×pow1 add-exp-log associate-/r/ add-cbrt-cube div-inv
4×flip3-+ flip-+ add-log-exp
3×cbrt-div pow1/3 associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
30.0ms
(* y (+ 1.0 (* z z)))
9.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
10.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
10.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* y (+ 1.0 (* z z)))
201.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
191.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))
247.0ms
(cbrt (/ (/ 1.0 x) (* y (+ 1.0 (* z z)))))

simplify1.2s

Counts
118 → 118
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01842065
14192016
214741888
done50001870

prune593.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.1b

regimes292.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11315
done1315

end0.0ms

sample871.0ms

Algorithm
intervals
Results
511.0ms8652×body80valid