Details

sample44.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify5.1s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize37.0ms

Local error

Found 3 expressions with local error:

22.1b	(/ (* (- x y) (+ y x)) (fma y y (* x x)))
0.0b	(* (- x y) (+ y x))
0.0b	(fma y y (* x x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip3--` `flip-+` `flip--`
5×	`pow1` `associate-l`
4×	`associate-r` `associate-l/` `associate-r/`
3×	`expm1-log1p-u` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

Slowest

23.0ms	(* (- x y) (+ y x))
22.0ms	(/ (* (- x y) (+ y x)) (fma y y (* x x)))
0.0ms	(fma y y (* x x))

series165.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(/ (* (- x y) (+ y x)) (fma y y (* x x)))
51.0ms	(* (- x y) (+ y x))
36.0ms	(fma y y (* x x))

simplify487.0ms

Counts: 86 → 86

prune766.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 3 expressions with local error:

21.0b	(/ (fma y y (* x x)) (+ y x))
0.0b	(/ (- x y) (/ (fma y y (* x x)) (+ y x)))
0.0b	(fma y y (* x x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
161×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv` `associate-/l*`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`flip3--` `div-sub` `fma-udef` `flip--`

Counts

3 → 181

Calls

3 calls:

Slowest

33.0ms	(/ (- x y) (/ (fma y y (* x x)) (+ y x)))
15.0ms	(/ (fma y y (* x x)) (+ y x))
0.0ms	(fma y y (* x x))

series255.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

109.0ms	(/ (fma y y (* x x)) (+ y x))
89.0ms	(/ (- x y) (/ (fma y y (* x x)) (+ y x)))
57.0ms	(fma y y (* x x))

simplify809.0ms

Counts: 190 → 190

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize48.0ms

Local error

Found 4 expressions with local error:

21.0b	(/ (fma x x (* y y)) (+ x y))
21.0b	(/ (fma x x (* y y)) (+ x y))
21.0b	(/ (fma x x (* y y)) (+ x y))
0.0b	(* (* (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ (- x y) (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (fma x x (* y y)) (+ x y))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

189×	`times-frac`
181×	`add-cbrt-cube` `add-exp-log`
180×	`*-un-lft-identity`
132×	`add-sqr-sqrt`
95×	`associate-r`
90×	`add-cube-cbrt`
87×	`cbrt-undiv` `div-exp`
57×	`prod-exp` `cbrt-unprod`
27×	`distribute-lft-out`
23×	`pow1`
18×	`distribute-lft-out--` `difference-of-squares`
17×	`associate-/r/`
12×	`associate-/r*`
9×	`div-inv` `associate-/l*`
8×	`flip3-+` `flip-+`
6×	`pow-plus` `pow-prod-up`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `unswap-sqr`
2×	`pow2` `pow-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 296

Calls

4 calls:

Slowest

133.0ms	(* (* (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ (- x y) (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (fma x x (* y y)) (+ x y))))
8.0ms	(/ (fma x x (* y y)) (+ x y))
8.0ms	(/ (fma x x (* y y)) (+ x y))
8.0ms	(/ (fma x x (* y y)) (+ x y))

series460.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(* (* (/ (- x y) (/ (fma x x (* y y)) (+ x y))) (/ (- x y) (/ (fma x x (* y y)) (+ x y)))) (/ (- x y) (/ (fma x x (* y y)) (+ x y))))
104.0ms	(/ (fma x x (* y y)) (+ x y))
104.0ms	(/ (fma x x (* y y)) (+ x y))
94.0ms	(/ (fma x x (* y y)) (+ x y))

simplify2.0s

Counts: 308 → 308

prune4.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

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

prune0.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

regimes122.0ms

Accuracy

75.7% (4.9b remaining)

Error of 5.3b against oracle of 0.5b and baseline of 20.5b

bsearch225.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

977.0ms	8000×	body	80	valid
434.0ms	8000×	pre	80	true