Details

Time bar (total: 11.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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-/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:
31.0ms
(/ (+ x y) (- x y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (+ x y) (- x y))

simplify1.8s

Counts
50 → 50
Iterations
IterNodes
done5009
31708
2485
1180
078

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

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:
28.0ms
(/ 1 (/ (- x y) (+ x y)))
31.0ms
(/ (- x y) (+ x y))

series180.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(/ 1 (/ (- x y) (+ x y)))
91.0ms
(/ (- x y) (+ x y))

simplify1.8s

Counts
184 → 184
Iterations
IterNodes
done5015
21931
1548
0209

prune488.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
51×add-exp-log
44×div-inv
36×div-exp
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 533
Calls
3 calls:
20.0ms
(/ 1 (- x y))
19.0ms
(/ 1 (+ x y))
37.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (- x y))
38.0ms
(/ 1 (+ x y))
94.0ms
(/ (/ 1 (- x y)) (/ 1 (+ x y)))

simplify2.0s

Counts
542 → 542
Iterations
IterNodes
done5010
23646
11921
0611

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ 1 (sqrt (- x y)))
0.2b
(* (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))))
0.3b
(/ (+ y x) (sqrt (- x y)))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
147×*-un-lft-identity
134×times-frac
96×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
32×add-exp-log
30×associate-*l*
20×add-cbrt-cube
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv
5×flip3-- flip--
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×rec-exp 1-exp pow-flip
2×clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
1×frac-times rem-sqrt-square flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ inv-pow
Counts
4 → 247
Calls
4 calls:
18.0ms
(sqrt (- x y))
22.0ms
(/ 1 (sqrt (- x y)))
90.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))))
22.0ms
(/ (+ y x) (sqrt (- x y)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (- x y))
120.0ms
(/ 1 (sqrt (- x y)))
109.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ y x) (sqrt (- x y))))
106.0ms
(/ (+ y x) (sqrt (- x y)))

simplify1.7s

Counts
259 → 259
Iterations
IterNodes
done5000
22166
1792
0284

prune658.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
done10
110
07

end0.0ms

sample425.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid