Details

Time bar (total: 10.4s)

sample39.0ms

Algorithm
intervals
Results
15.0ms300×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
94856
81634
7579
6219
591
465
342
222
111
06

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (- y z) (/ y x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
div-inv
add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/l/
pow1 clear-num frac-2neg flip3-- div-sub associate-/r/ flip-- add-log-exp
Counts
1 → 101
Calls
1 calls:
16.0ms
(/ (- y z) (/ y x))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- y z) (/ y x))

simplify1.0s

Counts
104 → 104
Iterations
IterNodes
done5000
22861
1588
0190

prune400.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.6b
(/ (/ y (- y z)) x)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-- flip--
10×cbrt-undiv
pow1
rec-exp clear-num frac-2neg 1-exp add-log-exp
pow-flip inv-pow associate-/l/
Counts
3 → 435
Calls
3 calls:
15.0ms
(/ y (- y z))
40.0ms
(/ 1 (/ (/ y (- y z)) x))
31.0ms
(/ (/ y (- y z)) x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ y (- y z))
54.0ms
(/ 1 (/ (/ y (- y z)) x))
108.0ms
(/ (/ y (- y z)) x)

simplify1.5s

Counts
444 → 444
Iterations
IterNodes
done5000
11647
0577

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
5.9b
(/ (* x z) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt add-log-exp
associate-/r* times-frac
pow1 cbrt-undiv div-exp
clear-num sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 35
Calls
2 calls:
12.0ms
(- x (/ (* x z) y))
20.0ms
(/ (* x z) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ (* x z) y))
36.0ms
(/ (* x z) y)

simplify728.0ms

Counts
41 → 41
Iterations
IterNodes
done5000
2862
1178
071

prune167.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 1 x) (/ z (/ y x)))
5.2b
(/ z (/ y x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
45×*-un-lft-identity
44×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
add-cbrt-cube add-exp-log
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 associate-/r/
clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log flip-- distribute-lft-out--
Counts
2 → 84
Calls
2 calls:
22.0ms
(- (* 1 x) (/ z (/ y x)))
15.0ms
(/ z (/ y x))

series66.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* 1 x) (/ z (/ y x)))
29.0ms
(/ z (/ y x))

simplify1.1s

Counts
90 → 90
Iterations
IterNodes
done5001
22081
1452
0175

prune453.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes162.0ms

Accuracy

11.3% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 3.2b

bsearch136.0ms

Steps
ItersRangePoint
7
3.3279750549394934e+231
1.796641915941976e+233
1.195496640822689e+233
8
5.484638728691009e-165
2.3900143721940183e-161
1.8564302260211344e-163
8
-1.6488180591399826e-108
-1.1389738605944832e-111
-1.4906425580595769e-108

simplify9.0ms

Iterations
IterNodes
done33
333
230
127
021

end0.0ms

sample881.0ms

Algorithm
intervals
Results
424.0ms9675×body80valid