Details

Time bar (total: 12.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
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-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 47
Calls
1 calls:
23.0ms
(/ (+ x y) (- x y))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (+ x y) (- x y))

simplify1.9s

Counts
50 → 50
Iterations
IterNodes
done5009
31708
2485
1180
078

prune258.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
32.0ms
(/ 1 (/ (- x y) (+ x y)))
31.0ms
(/ (- x y) (+ x y))

series211.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(/ 1 (/ (- x y) (+ x y)))
106.0ms
(/ (- x y) (+ x y))

simplify2.0s

Counts
184 → 184
Iterations
IterNodes
done5015
21931
1548
0209

prune676.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite301.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg
2×flip3-- frac-sub flip-- sub-div
1×rec-exp sub-neg diff-log 1-exp pow-flip inv-pow
Counts
4 → 535
Calls
4 calls:
123.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
9.0ms
(/ x (+ x y))
116.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
16.0ms
(/ y (+ x y))

series331.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
69.0ms
(/ x (+ x y))
106.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
51.0ms
(/ y (+ x y))

simplify2.5s

Counts
547 → 547
Iterations
IterNodes
done5013
23081
11149
0519

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (- x y))
3.4b
(- (* x x) (* y y))
33.0b
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
31×add-sqr-sqrt
21×add-cube-cbrt
19×prod-diff
14×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×swap-sqr difference-of-squares
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×times-frac associate-*l/ associate-*r/ associate-/l*
3×expm1-log1p-u sub-neg log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 clear-num associate-/r* frac-2neg pow-plus fma-neg diff-log div-sub pow-prod-down pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 118
Calls
3 calls:
38.0ms
(* (- x y) (- x y))
7.0ms
(- (* x x) (* y y))
28.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- x y) (- x y))
40.0ms
(- (* x x) (* y y))
113.0ms
(/ (- (* x x) (* y y)) (* (- x y) (- x y)))

simplify1.4s

Counts
127 → 127
Iterations
IterNodes
done5001
21843
1570
0187

prune322.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample461.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid