Details

Time bar (total: 11.1s)

sample21.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify111.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

3.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.3b
(* y (+ 1.0 (* z z)))

rewrite36.0ms

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 (+ 1.0 (* z z))))
12.0ms
(* y (+ 1.0 (* z z)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
80.0ms
(* y (+ 1.0 (* z z)))

simplify1.3s

Counts
76 → 76
Iterations
IterNodes
done5000
22223
1439
0156

prune533.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
3.7b
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
16.5b
(sqrt (+ 1.0 (* z z)))
16.5b
(sqrt (+ 1.0 (* z z)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
30×add-cbrt-cube add-exp-log
28×sqrt-div
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
16×associate-*r/
14×flip3-+ flip-+
13×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp sqrt-prod cbrt-unprod
8×frac-times associate-/r/
6×associate-*r*
4×associate-*l/ add-log-exp
3×pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×clear-num associate-/r* frac-2neg associate-*l* *-commutative associate-/l/
Counts
4 → 117
Calls
4 calls:
52.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
40.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
4.0ms
(sqrt (+ 1.0 (* z z)))
4.0ms
(sqrt (+ 1.0 (* z z)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z))))
67.0ms
(/ (/ 1.0 x) (* (* y (sqrt (+ 1.0 (* z z)))) (sqrt (+ 1.0 (* z z)))))
54.0ms
(sqrt (+ 1.0 (* z z)))
45.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.7s

Counts
129 → 129
Iterations
IterNodes
done5001
23535
1628
0217

prune782.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.0b

localize28.0ms

Local error

Found 2 expressions with local error:

3.6b
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
4.4b
(/ (/ 1 y) (+ 1.0 (* z z)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
45×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1 associate-/r/
3×rec-exp associate-/r* 1-exp
2×flip3-+ flip-+ add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
58.0ms
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
22.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(* (/ 1.0 x) (/ (/ 1 y) (+ 1.0 (* z z))))
96.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

simplify990.0ms

Counts
174 → 174
Iterations
IterNodes
done5000
1940
0291

prune720.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.4b

localize16.0ms

Local error

Found 2 expressions with local error:

3.5b
(/ (* 1.0 (/ (/ 1 y) (+ 1.0 (* z z)))) x)
4.4b
(/ (/ 1 y) (+ 1.0 (* z z)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
33×add-exp-log
21×add-cbrt-cube
18×div-exp
14×associate-/l*
10×cbrt-undiv
6×associate-/r* div-inv
5×prod-exp
3×cbrt-unprod
2×pow1 rec-exp clear-num frac-2neg 1-exp associate-/r/ add-log-exp associate-/l/
1×flip3-+ associate-*r/ flip-+
Counts
2 → 102
Calls
2 calls:
30.0ms
(/ (* 1.0 (/ (/ 1 y) (+ 1.0 (* z z)))) x)
15.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ (* 1.0 (/ (/ 1 y) (+ 1.0 (* z z)))) x)
77.0ms
(/ (/ 1 y) (+ 1.0 (* z z)))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
done5000
23267
1643
0236

prune446.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.4b

regimes727.0ms

Accuracy

58.7% (1.7b remaining)

Error of 3.8b against oracle of 2.1b and baseline of 6.3b

bsearch130.0ms

Steps
ItersRangePoint
10
2.1439514493461858e+27
6.593650717869989e+45
4.383019052233076e+34
10
-154130335284.9803
-27.16127718389199
-87792697.94979435

simplify5.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample1.2s

Algorithm
intervals
Results
947.0ms8609×body80valid