Details

Time bar (total: 10.7s)

sample47.0ms

Algorithm
intervals
Results
18.0ms268×body80valid

simplify96.0ms

Counts
1 → 1
Iterations
IterNodes
done117
6117
5112
488
359
237
121
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize25.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.8b
(* y (+ 1.0 (* z z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
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 clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 70
Calls
2 calls:
13.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
13.0ms
(* y (+ 1.0 (* z z)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
92.0ms
(* y (+ 1.0 (* z z)))

simplify1.5s

Counts
76 → 76
Iterations
IterNodes
done5000
22223
1439
0156

prune453.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (/ 1.0 x) (* y (+ (* z z) 1.0)))
3.8b
(* y (+ (* z z) 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
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 clear-num associate-/r* frac-2neg distribute-lft-in pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
2 → 70
Calls
2 calls:
19.0ms
(/ (/ 1.0 x) (* y (+ (* z z) 1.0)))
34.0ms
(* y (+ (* z z) 1.0))

series183.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (/ 1.0 x) (* y (+ (* z z) 1.0)))
97.0ms
(* y (+ (* z z) 1.0))

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5000
22179
1438
0156

prune439.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1.0 (* (* y (+ (* z z) 1.0)) x))
2.9b
(* (* y (+ (* z z) 1.0)) x)
3.8b
(* y (+ (* z z) 1.0))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow1
8×*-un-lft-identity add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* associate-*r/
4×associate-*l* pow-prod-down associate-*l/
3×cbrt-undiv flip3-+ times-frac div-exp flip-+ associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
42.0ms
(/ 1.0 (* (* y (+ (* z z) 1.0)) x))
34.0ms
(* (* y (+ (* z z) 1.0)) x)
28.0ms
(* y (+ (* z z) 1.0))

series236.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ 1.0 (* (* y (+ (* z z) 1.0)) x))
66.0ms
(* (* y (+ (* z z) 1.0)) x)
75.0ms
(* y (+ (* z z) 1.0))

simplify1.4s

Counts
76 → 76
Iterations
IterNodes
done5002
22526
1385
0128

prune421.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x z) z)
0.3b
(/ 1.0 (* y (+ (* (* x z) z) (* 1.0 x))))
3.6b
(* y (+ (* (* x z) z) (* 1.0 x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube add-exp-log
10×add-sqr-sqrt pow1
8×*-un-lft-identity add-cube-cbrt
6×associate-*r*
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down associate-*r/
3×times-frac associate-/l* add-log-exp
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in div-inv unswap-sqr
Counts
3 → 63
Calls
3 calls:
14.0ms
(* (* x z) z)
21.0ms
(/ 1.0 (* y (+ (* (* x z) z) (* 1.0 x))))
45.0ms
(* y (+ (* (* x z) z) (* 1.0 x)))

series334.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (* x z) z)
138.0ms
(/ 1.0 (* y (+ (* (* x z) z) (* 1.0 x))))
130.0ms
(* y (+ (* (* x z) z) (* 1.0 x)))

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done5001
22123
1360
0123

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.2b

regimes516.0ms

Accuracy

33% (1.9b remaining)

Error of 2.6b against oracle of 0.8b and baseline of 3.5b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done32
132
022

end0.0ms

sample1.2s

Algorithm
intervals
Results
493.0ms8573×body80valid