Details

Time bar (total: 1.1m)

sample66.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
14.0ms256×pre80true

simplify186.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
185.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize38.0ms

Local error

Found 2 expressions with local error:

20.3b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0b
(fma x x (* y y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt
3×associate-/r* flip3-+ times-frac flip3-- flip-+ flip--
2×expm1-log1p-u pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
Slowest
22.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0ms
(fma x x (* y y))

series131.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
74.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
57.0ms
(fma x x (* y y))

simplify3.7s

Counts
28 → 49
Calls
28 calls:
Slowest
509.0ms
(/ (* (* (* (- 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))))
499.0ms
(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
424.0ms
(/ (* (* (* (- 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))))
405.0ms
(* (- (* x x) (* y y)) (+ y x))
355.0ms
(* (- (* x x) (* y y)) (- (* y y) (* x x)))

prune449.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.4b

localize23.0ms

Local error

Found 4 expressions with local error:

20.3b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
0.0b
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
0.0b
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0b
(fma x x (* y y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac add-cbrt-cube add-exp-log
8×log-pow associate-/l/
5×pow1 add-log-exp
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u
3×log-prod associate-/r* flip3-+ flip3-- flip-+ div-inv flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×clear-num frac-2neg rem-log-exp prod-exp cbrt-unprod fma-udef associate-/l* rem-exp-log
Counts
4 → 83
Calls
4 calls:
Slowest
17.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
7.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
4.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0ms
(fma x x (* y y))

series332.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
87.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
77.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))
39.0ms
(fma x x (* y y))

simplify6.3s

Counts
53 → 95
Calls
53 calls:
Slowest
571.0ms
(/ (* (* (* (- 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))))
480.0ms
(* (- (pow x 3) (pow y 3)) (- (* y y) (* x x)))
436.0ms
(* (- (* x x) (* y y)) (+ y x))
380.0ms
(* (- (* x x) (* y y)) (- (* y y) (* x x)))
368.0ms
(/ (* (* (* (- 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))))

prune914.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.4b

localize22.0ms

Local error

Found 4 expressions with local error:

19.7b
(/ (fma x x (* y y)) (+ y x))
0.0b
(log (exp (/ (- x y) (/ (fma x x (* y y)) (+ y x)))))
0.0b
(/ (- x y) (/ (fma x x (* y y)) (+ y x)))
0.0b
(exp (/ (- x y) (/ (fma x x (* y y)) (+ y x))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
413×*-un-lft-identity
309×add-sqr-sqrt
199×add-cube-cbrt
190×exp-prod
96×log-pow
55×distribute-lft-out-- difference-of-squares
52×distribute-lft-out
37×associate-/r/
22×associate-/r*
20×div-inv
17×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
8×associate-/l*
5×pow1 add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×log-prod div-sub
2×clear-num frac-2neg exp-diff associate-/l/
1×log-div flip3-- rem-log-exp flip-- rem-exp-log
Counts
4 → 388
Calls
4 calls:
Slowest
40.0ms
(log (exp (/ (- x y) (/ (fma x x (* y y)) (+ y x)))))
38.0ms
(exp (/ (- x y) (/ (fma x x (* y y)) (+ y x))))
17.0ms
(/ (fma x x (* y y)) (+ y x))
17.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ y x)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(/ (fma x x (* y y)) (+ y x))
107.0ms
(exp (/ (- x y) (/ (fma x x (* y y)) (+ y x))))
97.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ y x)))
97.0ms
(log (exp (/ (- x y) (/ (fma x x (* y y)) (+ y x)))))

simplify43.7s

Counts
452 → 400
Calls
452 calls:
Slowest
506.0ms
(/ 1 (/ (fma x x (* y y)) (- (* y y) (* x x))))
496.0ms
(/ 1 (/ (fma x x (* y y)) (- (* y y) (* x x))))
449.0ms
(exp (/ (+ (sqrt x) (sqrt y)) (/ (fma x x (* y y)) (+ (pow y 3) (pow x 3)))))
426.0ms
(/ (- x y) (sqrt (/ (fma x x (* y y)) (+ y x))))
416.0ms
(exp (/ 1 (/ (fma x x (* y y)) (+ (pow y 3) (pow x 3)))))

prune4.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.4b

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

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.4b

regimes63.0ms

Accuracy

75.3% (4.9b remaining)

Error of 5.4b against oracle of 0.5b and baseline of 20.5b

bsearch181.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s8000×body80valid
339.0ms8000×pre80true