Details

sample115.0ms

Algorithm

intervals

Results

93.0ms

710×

body

valid

simplify1.1s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* 4 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

Slowest

64.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
18.0ms	(* 4 (* b b))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series194.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
58.0ms	(pow (+ (* a a) (* b b)) 2)
28.0ms	(* 4 (* b b))

simplify957.0ms

Counts: 74 → 74

prune760.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

15.1b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.1b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
0.4b	(pow (+ (* a a) (* b b)) 2)
0.4b	(pow (+ (* a a) (* b b)) 2)

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`pow-unpow` `unpow-prod-down` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `flip3-+` `pow1/2` `pow-exp` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

Slowest

97.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
62.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
8.0ms	(pow (+ (* a a) (* b b)) 2)
8.0ms	(pow (+ (* a a) (* b b)) 2)

series381.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
139.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
55.0ms	(pow (+ (* a a) (* b b)) 2)
47.0ms	(pow (+ (* a a) (* b b)) 2)

simplify821.0ms

Counts: 90 → 90

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.1b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 66

Calls

4 calls:

Slowest

69.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
33.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
31.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
21.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

series768.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

226.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
220.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
213.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
109.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

simplify772.0ms

Counts: 78 → 78

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.7b	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
15.1b	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 66

Calls

4 calls:

Slowest

79.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
48.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
30.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
27.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

series818.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

255.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
225.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
214.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))
125.0ms	(sqrt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))))

simplify810.0ms

Counts: 78 → 78

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes527.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s

20784×

body

valid