Details

Time bar (total: 17.8s)

sample63.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
14.0ms256×pre80true

simplify348.0ms

Calls
1 calls:
Slowest
348.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize37.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
associate-/l/
add-cbrt-cube add-exp-log
frac-times flip3-+ flip-+
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac flip3-- add-cube-cbrt flip--
cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/
pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
14.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series101.0ms

Calls
1 calls:
Slowest
101.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.4s

Calls
27 calls:
Slowest
510.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
416.0ms
(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
366.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
270.0ms
(* (- (pow x 3) (pow y 3)) (+ x y))
258.0ms
(- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))

prune279.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize1.0ms

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

prune7.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

localize7.0ms

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)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
11×associate-/r/
add-cbrt-cube add-exp-log
flip3-+ flip-+ div-inv associate-/l*
cbrt-undiv div-exp associate-/l/
pow1 clear-num frac-2neg insert-posit16 add-log-exp
flip3-- div-sub flip--
Calls
2 calls:
Slowest
14.0ms
(/ (+ (* x x) (* y y)) (+ x y))
7.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))

series197.0ms

Calls
2 calls:
Slowest
105.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
92.0ms
(/ (+ (* x x) (* y y)) (+ x y))

simplify10.0s

Calls
150 calls:
Slowest
545.0ms
(/ (* (cbrt (- x y)) (cbrt (- x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))))
402.0ms
(/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
375.0ms
(/ (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))))
331.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
302.0ms
(/ (- x y) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

localize1.0ms

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

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes111.0ms

Accuracy

74.1% (5.3b remaining)

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

bsearch196.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
984.0ms8000×body80valid
787.0ms8000×pre80true