Details

sample105.0ms

Algorithm

intervals

Results

87.0ms

673×

body

valid

simplify147.0ms

Calls

1 calls:

Slowest

146.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1)

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))
0.0b	(fma a a (* b b))
0.0b	(fma a a (* b b))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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`

Calls

3 calls:

Slowest

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))
0.0ms	(fma a a (* b b))
0.0ms	(fma a a (* b b))

series224.0ms

Calls

3 calls:

Slowest

119.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))
58.0ms	(fma a a (* b b))
47.0ms	(fma a a (* b b))

simplify490.0ms

Calls

9 calls:

Slowest

153.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
150.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
84.0ms	(- (+ (pow a 4) (* 4 (pow b 2))) 1)
19.0ms	(+ (pow a 2) (pow b 2))
17.0ms	(+ (pow a 2) (pow b 2))

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* 4 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(+ (* a a) (* b b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`fma-def` `add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+` `unpow2`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative`

Calls

4 calls:

Slowest

25.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
6.0ms	(pow (+ (* a a) (* b b)) 2)
3.0ms	(+ (* a a) (* b b))
2.0ms	(* 4 (* b b))

series222.0ms

Calls

4 calls:

Slowest

110.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
41.0ms	(pow (+ (* a a) (* b b)) 2)
37.0ms	(* 4 (* b b))
33.0ms	(+ (* a a) (* b b))

simplify1.7s

Calls

25 calls:

Slowest

291.0ms	(* (exp (pow (+ (* a a) (* b b)) 2)) (exp (* 4 (* b b))))
217.0ms	(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow a 4)))
166.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
156.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
144.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))

prune877.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a b) (* a b))
0.0b	(* 4 (* b b))
0.0b	(fma 2 (* (* a b) (* a b)) (pow a 4))
0.0b	(+ (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)) (* 4 (* b b)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-log-exp`
7×	`*-un-lft-identity`
6×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `fma-def` `insert-posit16` `log1p-expm1-u`
3×	`sum-log`
2×	`associate-r` `*-commutative`
1×	`pow2` `+-commutative` `associate-+l+` `flip3-+` `pow-plus` `associate-l` `pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out`

Calls

4 calls:

Slowest

24.0ms	(+ (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)) (* 4 (* b b)))
4.0ms	(* (* a b) (* a b))
1.0ms	(* 4 (* b b))
0.0ms	(fma 2 (* (* a b) (* a b)) (pow a 4))

series203.0ms

Calls

4 calls:

Slowest

68.0ms	(+ (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4)) (* 4 (* b b)))
60.0ms	(fma 2 (* (* a b) (* a b)) (pow a 4))
39.0ms	(* (* a b) (* a b))
36.0ms	(* 4 (* b b))

simplify2.2s

Calls

23 calls:

Slowest

279.0ms	(* (* (exp (fma 2 (* (* a b) (* a b)) (pow a 4))) (exp (pow b 4))) (exp (* 4 (* b b))))
255.0ms	(* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b)))
206.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
177.0ms	(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow a 4)))
156.0ms	(* (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4))) (cbrt (+ (fma 2 (* (* a b) (* a b)) (pow a 4)) (pow b 4))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

3.0s

20547×

body

valid