Details

Time bar (total: 30.9s)

sample41.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
9.0ms256×pre80true

simplify356.0ms

Calls
1 calls:
Slowest
356.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize35.0ms

Local error

Found 1 expressions with local error:

23.3b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-cbrt-cube add-exp-log
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac flip3-- add-cube-cbrt flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/
1×pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
43.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series98.0ms

Calls
1 calls:
Slowest
98.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.9s

Calls
27 calls:
Slowest
578.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
495.0ms
(* (- (* x x) (* y y)) (- (* x x) (* y y)))
468.0ms
(* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))
431.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
317.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 2 expressions with local error:

22.7b
(/ (+ (* x x) (* y y)) (+ x y))
0.0b
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
9×add-cbrt-cube add-exp-log
8×flip3-+ flip-+ div-inv associate-/l*
4×cbrt-undiv div-exp associate-/l/
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- div-sub flip--
Calls
2 calls:
Slowest
37.0ms
(/ (+ (* x x) (* y y)) (+ x y))
31.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))

series183.0ms

Calls
2 calls:
Slowest
93.0ms
(/ (+ (* x x) (* y y)) (+ x y))
89.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))

simplify22.2s

Calls
251 calls:
Slowest
455.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
437.0ms
(/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
379.0ms
(/ (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))))
376.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
354.0ms
(/ (- (sqrt x) (sqrt y)) (/ (+ (* x x) (* y y)) (+ x y)))

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize0.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Calls
0 calls:
Slowest

series0.0ms

Calls
0 calls:
Slowest

simplify0.0ms

Calls
0 calls:
Slowest

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes105.0ms

Accuracy

74.1% (5.3b remaining)

Error of 5.8b against oracle of 0.5b and baseline of 20.8b

bsearch225.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s8000×body80valid
365.0ms8000×pre80true