Details

Time bar (total: 13.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
32.0ms
(/ (- x y) (+ x y))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (- x y) (+ x y))

simplify2.2s

Counts
51 → 51
Iterations
IterNodes
done5028
32581
2579
1198
080

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.0b
(/ y (+ x y))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
10.0ms
(/ x (+ x y))
88.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
9.0ms
(/ y (+ x y))

series192.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ x (+ x y))
89.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
60.0ms
(/ y (+ x y))

simplify2.1s

Counts
451 → 451
Iterations
IterNodes
done5000
22470
1973
0422

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (* y (/ 1 (+ x y))))
0.2b
(* y (/ 1 (+ x y)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
62×times-frac
54×add-sqr-sqrt
47×add-cube-cbrt
19×add-exp-log
18×fma-neg associate-*r* prod-diff
17×distribute-lft-out
13×add-cbrt-cube
10×associate-/r/
8×associate-/r*
7×pow1
6×div-inv associate-/l* add-log-exp
5×flip3-+ div-exp flip-+
4×expm1-log1p-u prod-exp log1p-expm1-u
3×cbrt-undiv associate-*l* associate-*r/ un-div-inv unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp frac-sub cbrt-unprod sub-div
1×sub-neg flip3-- distribute-rgt-out-- diff-log pow-prod-down *-commutative pow-flip flip-- inv-pow
Counts
4 → 172
Calls
4 calls:
9.0ms
(/ 1 (+ x y))
10.0ms
(/ x (+ x y))
87.0ms
(- (/ x (+ x y)) (* y (/ 1 (+ x y))))
41.0ms
(* y (/ 1 (+ x y)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (+ x y))
68.0ms
(/ x (+ x y))
109.0ms
(- (/ x (+ x y)) (* y (/ 1 (+ x y))))
45.0ms
(* y (/ 1 (+ x y)))

simplify1.6s

Counts
184 → 184
Iterations
IterNodes
done5003
21577
1460
0187

prune760.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (+ x y))
3.6b
(log1p (/ (- x y) (+ x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
23×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* add-cbrt-cube add-exp-log
3×expm1-log1p-u
2×pow1 associate-/r/ log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv log1p-udef clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 flip-+ div-inv flip--
Counts
2 → 59
Calls
2 calls:
21.0ms
(/ (- x y) (+ x y))
0.0ms
(log1p (/ (- x y) (+ x y)))

series245.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ (- x y) (+ x y))
140.0ms
(log1p (/ (- x y) (+ x y)))

simplify2.8s

Counts
65 → 65
Iterations
IterNodes
done5003
32574
2629
1223
096

prune307.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample545.0ms

Algorithm
intervals
Results
275.0ms8000×body80valid