Details

Time bar (total: 9.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify82.0ms

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 2 expressions with local error:

1.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.7b
(* y (+ 1.0 (* z z)))

rewrite44.0ms

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:
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
25.0ms
(* y (+ 1.0 (* z z)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
85.0ms
(* y (+ 1.0 (* z z)))

simplify1.0s

Counts
76 → 76
Iterations
IterNodes
done5000
22223
1439
0156

prune405.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.5b

localize27.0ms

Local error

Found 2 expressions with local error:

1.8b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.7b
(* y (+ 1.0 (* z z)))

rewrite60.0ms

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:
25.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
30.0ms
(* y (+ 1.0 (* z z)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
104.0ms
(* y (+ 1.0 (* z z)))

simplify982.0ms

Counts
76 → 76
Iterations
IterNodes
done5000
22223
1439
0156

prune332.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.9b
(/ 1 (* (/ y 1.0) (* (+ 1.0 (* z z)) x)))
2.6b
(* (/ y 1.0) (* (+ 1.0 (* z z)) x))
3.1b
(* (+ 1.0 (* z z)) x)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
25×prod-exp
18×div-exp
16×add-sqr-sqrt pow1 associate-*l*
14×*-un-lft-identity add-cube-cbrt
13×cbrt-unprod
12×times-frac associate-*l/
9×cbrt-undiv
7×pow-prod-down
5×rec-exp flip3-+ 1-exp associate-/r/ flip-+
4×frac-times associate-*r* associate-*r/
3×pow-flip associate-/l* add-log-exp
2×*-commutative div-inv
1×clear-num associate-/r* frac-2neg inv-pow unswap-sqr
Counts
3 → 103
Calls
3 calls:
49.0ms
(/ 1 (* (/ y 1.0) (* (+ 1.0 (* z z)) x)))
40.0ms
(* (/ y 1.0) (* (+ 1.0 (* z z)) x))
17.0ms
(* (+ 1.0 (* z z)) x)

series247.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ 1 (* (/ y 1.0) (* (+ 1.0 (* z z)) x)))
116.0ms
(* (/ y 1.0) (* (+ 1.0 (* z z)) x))
42.0ms
(* (+ 1.0 (* z z)) x)

simplify1.5s

Counts
112 → 112
Iterations
IterNodes
done5000
23191
1564
0184

prune547.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 2 expressions with local error:

3.1b
(/ (* (/ 1 y) 1.0) (* (+ 1.0 (* z z)) x))
3.1b
(* (+ 1.0 (* z z)) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
25×add-cbrt-cube
14×div-exp prod-exp
8×cbrt-undiv cbrt-unprod
6×add-sqr-sqrt
5×associate-*l/
4×pow1 *-un-lft-identity add-cube-cbrt
3×associate-*r* associate-*l*
2×rec-exp flip3-+ 1-exp associate-/r/ flip-+ add-log-exp
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 52
Calls
2 calls:
32.0ms
(/ (* (/ 1 y) 1.0) (* (+ 1.0 (* z z)) x))
27.0ms
(* (+ 1.0 (* z z)) x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ (* (/ 1 y) 1.0) (* (+ 1.0 (* z z)) x))
67.0ms
(* (+ 1.0 (* z z)) x)

simplify1.3s

Counts
58 → 58
Iterations
IterNodes
done5000
22910
1405
0127

prune198.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.0b

regimes826.0ms

Accuracy

66.6% (1.5b remaining)

Error of 3.7b against oracle of 2.2b and baseline of 6.6b

bsearch90.0ms

Steps
ItersRangePoint
7
3.4841290403300327e+100
7.676206685278292e+102
2.63208565696384e+102
6
-2.1254276745751126e+99
-5.209353904325992e+98
-1.4114713437724814e+99

simplify6.0ms

Iterations
IterNodes
done37
137
026

end0.0ms

sample955.0ms

Algorithm
intervals
Results
576.0ms8631×body80valid