Details

Time bar (total: 18.0s)

sample41.0ms

Algorithm
intervals
Results
25.0ms331×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ insert-posit16 add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
33.0ms
(* (* z z) (+ z 1.0))
34.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (* z z) (+ z 1.0))
101.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
59 → 59
Iterations
IterNodes
done5043
22025
1373
0114

prune207.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.2b

localize18.0ms

Local error

Found 2 expressions with local error:

6.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.6b
(/ x (* z z))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ insert-posit16 add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 76
Calls
2 calls:
68.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series98.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
34.0ms
(/ x (* z z))

simplify2.0s

Counts
82 → 82
Iterations
IterNodes
done5001
21940
1467
0152

prune267.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.0b
(* (/ x z) (/ y (+ z 1.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
55×add-cbrt-cube
40×prod-exp
36×add-sqr-sqrt
34×times-frac
30×*-un-lft-identity div-exp
26×associate-*l*
24×add-cube-cbrt
22×cbrt-unprod
19×associate-*r*
17×cbrt-undiv
9×pow1
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ unswap-sqr
3×div-inv distribute-lft-out
2×associate-/r/ *-commutative insert-posit16 add-log-exp
1×flip3-+ flip-+
Counts
2 → 118
Calls
2 calls:
84.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
53.0ms
(* (/ x z) (/ y (+ z 1.0)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
64.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts
124 → 124
Iterations
IterNodes
done5003
22521
1707
0230

prune437.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ (/ x (/ z y)) z) (+ z 1.0))
1.6b
(/ (/ x (/ z y)) z)
5.1b
(/ x (/ z y))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
2665×times-frac
1391×*-un-lft-identity
1117×add-sqr-sqrt add-cube-cbrt
183×associate-/l*
137×distribute-lft-out
88×div-inv
31×add-cbrt-cube add-exp-log
22×associate-/r/
20×associate-/r*
19×cbrt-undiv div-exp
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×flip3-+ flip-+
Counts
3 → 974
Calls
3 calls:
98.0ms
(/ (/ (/ x (/ z y)) z) (+ z 1.0))
37.0ms
(/ (/ x (/ z y)) z)
12.0ms
(/ x (/ z y))

series171.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(/ (/ (/ x (/ z y)) z) (+ z 1.0))
52.0ms
(/ (/ x (/ z y)) z)
36.0ms
(/ x (/ z y))

simplify2.5s

Counts
983 → 983
Iterations
IterNodes
done5000
13493
01406

prune4.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample1.0s

Algorithm
intervals
Results
749.0ms10642×body80valid