Details

Time bar (total: 18.0s)

sample61.0ms

Algorithm
intervals
Results
33.0ms256×body80valid
13.0ms256×pre80true

simplify389.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
389.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.6b

localize18.0ms

Local error

Found 1 expressions with local error:

19.6b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite31.0ms

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
30.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series115.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
115.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.9s

Counts
27 → 35
Calls
27 calls:
Slowest
776.0ms
(* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))
602.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
502.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
333.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
272.0ms
(- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))

prune325.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 2 expressions with local error:

18.9b
(/ (+ x y) (+ (* x x) (* y y)))
0.1b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×associate-*l*
4×pow1 associate-/r/ associate-/l*
3×associate-/r* flip3-+ flip-+
2×frac-times cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod insert-posit16 div-inv flip-- add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 80
Calls
2 calls:
Slowest
48.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
18.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
81.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
66.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify4.1s

Counts
78 → 86
Calls
78 calls:
Slowest
355.0ms
(* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
347.0ms
(* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (* y y)))
294.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
267.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
264.0ms
(* (- (pow x 3) (pow y 3)) (+ x y))

prune711.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 2 expressions with local error:

19.6b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.0b
(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×log-pow
9×exp-prod
8×associate-/l/
7×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×times-frac
5×flip3-+ flip-+
4×frac-times associate-/r/
3×pow1 log-prod associate-/r* flip3-- flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/ insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg rem-log-exp prod-exp cbrt-unprod associate-/l*
Counts
2 → 54
Calls
2 calls:
Slowest
29.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
24.0ms
(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))

series177.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
94.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
82.0ms
(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))

simplify5.4s

Counts
43 → 60
Calls
43 calls:
Slowest
598.0ms
(/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
413.0ms
(* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))
398.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
359.0ms
(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
328.0ms
(+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))

prune654.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

regimes100.0ms

Accuracy

75.7% (4.8b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 20.1b

bsearch169.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
949.0ms8000×body80valid
380.0ms8000×pre80true