Details

sample50.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify4.9s

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize22.0ms

Local error

Found 1 expressions with local error:

17.6b

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

rewrite28.0ms

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`

Counts

1 → 32

Calls

1 calls:

Slowest

28.0ms

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

series101.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

101.0ms

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

simplify2.0s

Counts: 35 → 35

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 2 expressions with local error:

17.6b	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
0.0b	(/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
28×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
20×	`frac-times`
16×	`associate-/r*` `add-cbrt-cube`
15×	`flip3-+` `flip3--` `flip-+` `flip--`
14×	`div-exp`
10×	`associate-l/` `associate-r/`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `clear-num` `frac-2neg` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 123

Calls

2 calls:

Slowest

27.0ms	(/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))
17.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

107.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
99.0ms	(/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))

simplify1.0s

Counts: 129 → 129

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize50.0ms

Local error

Found 4 expressions with local error:

17.6b	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
17.6b	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
17.6b	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
0.0b	(cbrt (* (* (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x)))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-/r/`
19×	`add-cbrt-cube` `add-exp-log`
18×	`frac-times`
12×	`associate-*l/`
10×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
9×	`flip3-+` `times-frac` `flip3--` `associate-r/` `flip-+` `flip--` `associate-/l`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 119

Calls

4 calls:

Slowest

619.0ms	(cbrt (* (* (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x)))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))))
34.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
25.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
13.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(cbrt (* (* (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x)))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))) (/ 1 (/ (fma y y (* x x)) (* (- x y) (+ y x))))))
128.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
115.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))
112.0ms	(/ (fma y y (* x x)) (* (- x y) (+ y x)))

simplify2.4s

Counts: 131 → 131

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

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

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes136.0ms

Accuracy

75.1% (4.8b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 19.6b

bsearch233.0ms

end0.0ms

sample1.9s

Algorithm

intervals

Results

975.0ms	8000×	body	80	valid
314.0ms	8000×	pre	80	true