Details

Time bar (total: 18.9s)

sample44.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
8.0ms256×pre80true

simplify330.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
330.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize36.0ms

Local error

Found 1 expressions with local error:

16.9b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite27.0ms

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
Counts
1 → 32
Calls
1 calls:
Slowest
27.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series108.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
108.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.5s

Counts
27 → 35
Calls
27 calls:
Slowest
592.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
452.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
377.0ms
(* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))
339.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
288.0ms
(* (- (pow x 3) (pow y 3)) (+ x y))

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

16.4b
(sqrt (+ (* x x) (* y y)))
16.4b
(sqrt (+ (* x x) (* y y)))
0.0b
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
0.0b
(/ (- x y) (sqrt (+ (* x x) (* y y))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
57×add-cube-cbrt sqrt-prod
36×associate-*l*
30×associate-*r*
18×add-cbrt-cube add-exp-log
13×distribute-lft-out-- difference-of-squares
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/ distribute-lft-out
5×cbrt-undiv flip3-+ div-exp flip-+ associate-/l*
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 187
Calls
4 calls:
Slowest
75.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
19.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
6.0ms
(sqrt (+ (* x x) (* y y)))
6.0ms
(sqrt (+ (* x x) (* y y)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
124.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
96.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
42.0ms
(sqrt (+ (* x x) (* y y)))
42.0ms
(sqrt (+ (* x x) (* y y)))

simplify9.8s

Counts
198 → 199
Calls
198 calls:
Slowest
466.0ms
(* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
395.0ms
(* (/ (* (* (- x y) (- x y)) (- x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))))
390.0ms
(* (* (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))))
350.0ms
(/ (- x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))
347.0ms
(sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

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

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes188.0ms

Accuracy

76.5% (4.6b remaining)

Error of 5.1b against oracle of 0.5b and baseline of 20.2b

bsearch126.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
970.0ms8000×body80valid
315.0ms8000×pre80true