Details

sample69.0ms

Algorithm

intervals

Results

53.0ms

690×

body

valid

simplify864.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

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`

Counts

3 → 33

Calls

3 calls:

Slowest

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

series217.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

102.0ms	(fma (fma b b (* a a)) (fma b b (* a a)) -1)
61.0ms	(fma b b (* a a))
54.0ms	(fma b b (* a a))

simplify951.0ms

Counts: 42 → 42

prune527.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))
0.2b	(fma (fma b b (* a a)) (* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a)))) -1)
0.0b	(* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `fma-udef`
2×	`rem-sqrt-square` `hypot-def`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

Slowest

10.0ms	(* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a))))
3.0ms	(sqrt (fma b b (* a a)))
1.0ms	(sqrt (fma b b (* a a)))
0.0ms	(fma (fma b b (* a a)) (* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a)))) -1)

series318.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

109.0ms	(fma (fma b b (* a a)) (* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a)))) -1)
78.0ms	(sqrt (fma b b (* a a)))
78.0ms	(sqrt (fma b b (* a a)))
54.0ms	(* (sqrt (fma b b (* a a))) (sqrt (fma b b (* a a))))

simplify1.3s

Counts: 109 → 109

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))
0.3b	(* (sqrt (sqrt (fma b b (* a a)))) (* (sqrt (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a)))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-pow1`
41×	`pow1`
30×	`pow-prod-up`
26×	`pow1/2`
19×	`sqrt-prod`
15×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `associate-l` `add-exp-log`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `pow-plus` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `fma-udef` `hypot-def`
2×	`sqrt-unprod` `cube-unmult`
1×	`associate-r` `*-commutative`

Counts

4 → 99

Calls

4 calls:

Slowest

62.0ms	(* (sqrt (sqrt (fma b b (* a a)))) (* (sqrt (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a)))))
3.0ms	(sqrt (fma b b (* a a)))
2.0ms	(sqrt (fma b b (* a a)))
2.0ms	(sqrt (fma b b (* a a)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(sqrt (fma b b (* a a)))
50.0ms	(sqrt (fma b b (* a a)))
47.0ms	(sqrt (fma b b (* a a)))
46.0ms	(* (sqrt (sqrt (fma b b (* a a)))) (* (sqrt (sqrt (fma b b (* a a)))) (sqrt (fma b b (* a a)))))

simplify1.3s

Counts: 111 → 111

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))
10.0b	(sqrt (fma b b (* a a)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `fma-udef` `hypot-def` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

3.0ms	(sqrt (fma b b (* a a)))
3.0ms	(sqrt (fma b b (* a a)))
3.0ms	(sqrt (fma b b (* a a)))
2.0ms	(sqrt (fma b b (* a a)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(sqrt (fma b b (* a a)))
66.0ms	(sqrt (fma b b (* a a)))
61.0ms	(sqrt (fma b b (* a a)))
49.0ms	(sqrt (fma b b (* a a)))

simplify4.6s

Counts: 80 → 80

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.8s

20263×

body

valid