Details

Time bar (total: 28.8s)

sample58.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
13.0ms256×pre80true

simplify189.0ms

Calls
1 calls:
Slowest
188.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.3b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-cbrt-cube add-exp-log
4×frac-times
3×add-sqr-sqrt associate-/r* *-un-lft-identity flip3-+ times-frac flip3-- add-cube-cbrt flip-+ flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Calls
1 calls:
Slowest
24.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series124.0ms

Calls
1 calls:
Slowest
124.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify4.2s

Calls
25 calls:
Slowest
629.0ms
(* (- x y) (+ (pow y 3) (pow x 3)))
548.0ms
(/ (* (* (* (- x y) (+ y x)) (* (- x y) (+ y x))) (* (- x y) (+ y x))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))))
474.0ms
(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
466.0ms
(/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ y x) (+ y x)) (+ y x))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))))
429.0ms
(* (- (* x x) (* y y)) (+ y x))

prune294.0ms

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

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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×div-inv associate-/l*
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub flip--
Calls
2 calls:
Slowest
24.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ y x)))
8.0ms
(/ (fma x x (* y y)) (+ y x))

series198.0ms

Calls
2 calls:
Slowest
101.0ms
(/ (fma x x (* y y)) (+ y x))
97.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ y x)))

simplify20.0s

Calls
249 calls:
Slowest
486.0ms
(/ 1 (/ (fma x x (* y y)) (- (* y y) (* x x))))
476.0ms
(/ (sqrt (- x y)) (/ (fma x x (* y y)) (- (* y y) (* x x))))
430.0ms
(/ 1 (/ (fma x x (* y y)) (- (* y y) (* x x))))
335.0ms
(/ 1 (/ (fma x x (* y y)) (+ (pow y 3) (pow x 3))))
327.0ms
(/ (* (* (- x y) (- x y)) (- x y)) (/ (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (* (* (+ y x) (+ y x)) (+ y x))))

prune1.6s

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

regimes150.0ms

Accuracy

74.1% (5.3b remaining)

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

bsearch183.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
931.0ms8000×body80valid
623.0ms8000×pre80true