Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
13.0ms	256×	body	80	valid

simplify63.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

63.0ms

(* (+ a b) (+ a b))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 43

Calls

1 calls:

Slowest

26.0ms

(* (+ a b) (+ a b))

series22.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

22.0ms

(* (+ a b) (+ a b))

simplify5.7s

Counts

57 → 46

Calls

57 calls:

Slowest

638.0ms	(* (+ a b) (- (* a a) (* b b)))
414.0ms	(* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b)))
397.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))
385.0ms	(* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3)))
321.0ms	(* (+ a b) (+ (pow a 3) (pow b 3)))

prune331.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma 2 a b) b (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

1.0ms

(fma (fma 2 a b) b (* a a))

series44.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

44.0ms

(fma (fma 2 a b) b (* a a))

simplify877.0ms

Counts

14 → 14

Calls

14 calls:

Slowest

204.0ms	(* (* (fma (fma 2 a b) b (* a a)) (fma (fma 2 a b) b (* a a))) (fma (fma 2 a b) b (* a a)))
117.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
107.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
106.0ms	(+ (pow a 2) (+ (pow b 2) (* 2 (* a b))))
73.0ms	(* (cbrt (fma (fma 2 a b) b (* a a))) (cbrt (fma (fma 2 a b) b (* a a))))

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ a b) a)
0.0b	(* (+ a b) b)
0.0b	(+ (* (+ a b) a) (* (+ a b) b))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-l`
7×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
6×	`associate-r`
5×	`add-log-exp`
4×	`frac-add`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def`

Counts

3 → 68

Calls

3 calls:

Slowest

33.0ms	(* (+ a b) b)
20.0ms	(* (+ a b) a)
18.0ms	(+ (* (+ a b) a) (* (+ a b) b))

series110.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

40.0ms	(+ (* (+ a b) a) (* (+ a b) b))
36.0ms	(* (+ a b) a)
34.0ms	(* (+ a b) b)

simplify8.7s

Counts

81 → 77

Calls

81 calls:

Slowest

943.0ms	(* (* (* (+ a b) b) (* (+ a b) b)) (* (+ a b) b))
836.0ms	(* (* (* (+ a b) a) (* (+ a b) a)) (* (+ a b) a))
464.0ms	(- (* (+ a b) a) (* (+ a b) b))
453.0ms	(* (- (* a a) (* b b)) b)
419.0ms	(* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (- (* b b) (* a b))))

prune553.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

354.0ms	8000×	pre	80	true
336.0ms	8000×	body	80	valid