Details

sample102.0ms

Algorithm

intervals

Results

83.0ms

637×

body

valid

simplify200.0ms

Calls

1 calls:

Slowest

199.0ms

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))

rewrite1.0ms

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))

series235.0ms

Calls

3 calls:

Slowest

118.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) (fma 4 (* b b) -1))
66.0ms	(fma a a (* b b))
50.0ms	(fma a a (* b b))

simplify530.0ms

Calls

9 calls:

Slowest

193.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
169.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
94.0ms	(- (+ (pow a 4) (* 4 (pow b 2))) 1)
18.0ms	(+ (pow a 2) (pow b 2))
14.0ms	(+ (pow a 2) (pow b 2))

prune451.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fma a a (* b b)) (fma a a (* b b)))
0.0b	(fma a a (* b b))
0.0b	(fma a a (* b b))
0.0b	(+ (* (fma a a (* b b)) (fma a a (* b b))) (fma 4 (* b b) -1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

8.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
7.0ms	(+ (* (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))

series204.0ms

Calls

4 calls:

Slowest

72.0ms	(+ (* (fma a a (* b b)) (fma a a (* b b))) (fma 4 (* b b) -1))
45.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
44.0ms	(fma a a (* b b))
43.0ms	(fma a a (* b b))

simplify2.4s

Calls

29 calls:

Slowest

486.0ms	(* (* (* (fma a a (* b b)) (fma a a (* b b))) (fma a a (* b b))) (* (* (fma a a (* b b)) (fma a a (* b b))) (fma a a (* b b))))
410.0ms	(* (exp (* (fma a a (* b b)) (fma a a (* b b)))) (exp (fma 4 (* b b) -1)))
200.0ms	(+ (pow b 4) (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)))
175.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))
168.0ms	(+ (pow b 4) (+ (pow a 4) (* 2 (* (pow a 2) (pow b 2)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

25.0ms	(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))
4.0ms	(+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))
4.0ms	(* (* a b) (* a b))
0.0ms	(fma 2 (* (* a b) (* a b)) (pow b 4))

series288.0ms

Calls

4 calls:

Slowest

92.0ms	(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))
92.0ms	(fma 2 (* (* a b) (* a b)) (pow b 4))
60.0ms	(+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))
43.0ms	(* (* a b) (* a b))

simplify3.5s

Calls

30 calls:

Slowest

307.0ms	(* (* (* (* a b) (* a b)) (* a b)) (* (* (* a b) (* a b)) (* a b)))
288.0ms	(* (exp (fma 2 (* (* a b) (* a b)) (pow b 4))) (exp (pow a 4)))
215.0ms	(+ (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4)) (fma 4 (* b b) -1))
204.0ms	(* (exp (+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))) (exp (fma 4 (* b b) -1)))
186.0ms	(+ (fma 2 (* (* a b) (* a b)) (pow b 4)) (pow a 4))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.2s

20545×

body

valid