Details

Time bar (total: 10.7s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
8.0ms256×pre80true

simplify316.0ms

Calls
1 calls:
Slowest
316.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize28.0ms

Local error

Found 2 expressions with local error:

21.6b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.0b
(+ (* x x) (* y y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt add-log-exp
3×associate-/r* times-frac flip3-- flip--
2×pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/ insert-posit16
1×+-commutative clear-num sum-log frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Calls
2 calls:
Slowest
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
5.0ms
(+ (* x x) (* y y))

series75.0ms

Calls
2 calls:
Slowest
51.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
24.0ms
(+ (* x x) (* y y))

simplify3.4s

Calls
31 calls:
Slowest
410.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
400.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
389.0ms
(* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))
316.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
244.0ms
(- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))

prune411.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

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

prune8.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 3 expressions with local error:

21.1b
(/ (+ x y) (+ (* x x) (* y y)))
0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
0.0b
(+ (* x x) (* y y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
15×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×flip3-+ associate-/r/ flip-+
3×associate-/r* associate-*l* insert-posit16 associate-/l*
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*r/ *-commutative
Calls
3 calls:
Slowest
17.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
11.0ms
(/ (+ x y) (+ (* x x) (* y y)))
5.0ms
(+ (* x x) (* y y))

series97.0ms

Calls
3 calls:
Slowest
46.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
33.0ms
(/ (+ x y) (+ (* x x) (* y y)))
18.0ms
(+ (* x x) (* y y))

simplify3.8s

Calls
68 calls:
Slowest
498.0ms
(* (- (* x x) (* y y)) (+ x y))
351.0ms
(* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
323.0ms
(* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (* x x) (* y y))))
267.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
263.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))

prune770.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

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: 0.6b

regimes134.0ms

Accuracy

72% (5.8b remaining)

Error of 6.3b against oracle of 0.5b and baseline of 21.3b

bsearch110.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
960.0ms8000×body80valid
329.0ms8000×pre80true