Details

sample46.0ms

Algorithm

intervals

Results

32.0ms

457×

body

valid

simplify39.0ms

Calls

1 calls:

Slowest

38.0ms

(- (* a a) (* b b))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* a a) (* b b))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `difference-of-squares`

Calls

1 calls:

Slowest

7.0ms

(- (* a a) (* b b))

series49.0ms

Calls

1 calls:

Slowest

49.0ms

(- (* a a) (* b b))

simplify221.0ms

Calls

6 calls:

Slowest

165.0ms	(/ (exp (* a a)) (exp (* b b)))
22.0ms	(- (pow a 2) (pow b 2))
15.0ms	(- (pow a 2) (pow b 2))
13.0ms	(- (pow a 2) (pow b 2))
2.0ms	(- a b)

prune119.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

6.5b	(sqrt (- (* a a) (* b b)))
6.5b	(sqrt (- (* a a) (* b b)))
0.0b	(* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))))
0.0b	(- (* a a) (* b b))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `swap-sqr` `flip--`
7×	`associate-r` `associate-l` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `sub-neg` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

71.0ms	(* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))))
7.0ms	(- (* a a) (* b b))
7.0ms	(sqrt (- (* a a) (* b b)))
7.0ms	(sqrt (- (* a a) (* b b)))

series271.0ms

Calls

4 calls:

Slowest

81.0ms	(sqrt (- (* a a) (* b b)))
75.0ms	(sqrt (- (* a a) (* b b)))
59.0ms	(* (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))))
56.0ms	(- (* a a) (* b b))

simplify9.2s

Calls

108 calls:

Slowest

290.0ms	(* (sqrt (- (pow (* a a) 3) (pow (* b b) 3))) (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))))
272.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
254.0ms	(* (sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (sqrt (- (pow (* a a) 3) (pow (* b b) 3))))
235.0ms	(* (sqrt (- (pow (* a a) 3) (pow (* b b) 3))) (sqrt (- (* a a) (* b b))))
234.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

14186×

body

valid