Details

sample161.0ms

Algorithm

intervals

Results

135.0ms

661×

body

valid

simplify812.0ms

Counts: 1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma a a (* b b)) (fma a a (* b b)))
0.1b	(fma (* a a) a (* a a))
0.0b	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))
0.0b	(- 1 (* 3 a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `swap-sqr` `associate-r` `associate-l` `prod-diff`
1×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

Slowest

12.0ms	(- 1 (* 3 a))
6.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
0.0ms	(fma (* a a) a (* a a))
0.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(fma (* a a) a (* a a))
86.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))
74.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
43.0ms	(- 1 (* 3 a))

simplify1.0s

Counts: 85 → 85

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a b) (* a b))
0.1b	(fma (* a a) a (* a a))
0.0b	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))
0.0b	(fma (* (* a b) (* a b)) 2 (+ (pow b 4) (pow a 4)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
17×	`pow-prod-down`
16×	`add-cbrt-cube` `add-exp-log`
8×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `pow-sqr` `pow-prod-up` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative`

Counts

4 → 70

Calls

4 calls:

Slowest

36.0ms	(* (* a b) (* a b))
0.0ms	(fma (* a a) a (* a a))
0.0ms	(fma (* (* a b) (* a b)) 2 (+ (pow b 4) (pow a 4)))
0.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(fma (* a a) a (* a a))
64.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))
53.0ms	(fma (* (* a b) (* a b)) 2 (+ (pow b 4) (pow a 4)))
48.0ms	(* (* a b) (* a b))

simplify1.2s

Counts: 82 → 82

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

9.0b	(sqrt (fma a a (* b b)))
9.0b	(sqrt (fma a a (* b b)))
0.2b	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
0.1b	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
20×	`add-sqr-sqrt`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
7×	`sqrt-pow1` `pow1/2`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `fma-udef` `hypot-def` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 92

Calls

4 calls:

Slowest

26.0ms	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))
14.0ms	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
3.0ms	(sqrt (fma a a (* b b)))
2.0ms	(sqrt (fma a a (* b b)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(* (fma a a (* b b)) (sqrt (fma a a (* b b))))
80.0ms	(* (* (fma a a (* b b)) (sqrt (fma a a (* b b)))) (sqrt (fma a a (* b b))))
75.0ms	(sqrt (fma a a (* b b)))
61.0ms	(sqrt (fma a a (* b b)))

simplify901.0ms

Counts: 104 → 104

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (fma a a (* b b)) (* a a))
0.5b	(* (fma a a (* b b)) (* b b))
0.1b	(fma (* a a) a (* a a))
0.0b	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

Slowest

30.0ms	(* (fma a a (* b b)) (* a a))
29.0ms	(* (fma a a (* b b)) (* b b))
0.0ms	(fma (* a a) a (* a a))
0.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(fma (* a a) a (* a a))
86.0ms	(* (fma a a (* b b)) (* b b))
86.0ms	(* (fma a a (* b b)) (* a a))
62.0ms	(fma (* b b) (- 1 (* 3 a)) (fma (* a a) a (* a a)))

simplify1.3s

Counts: 78 → 78

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch3.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

5.7s

20446×

body

valid