Details

sample38.0ms

Algorithm

intervals

Results

23.0ms

265×

body

valid

simplify163.0ms

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize42.0ms

Local error

Found 2 expressions with local error:

27.4b	(/ (- (* b c) (* a d)) (fma d d (* c c)))
0.6b	(- (* b c) (* a d))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

2 → 50

Calls

2 calls:

Slowest

33.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
16.0ms	(- (* b c) (* a d))

series183.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

128.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
54.0ms	(- (* b c) (* a d))

simplify885.0ms

Counts: 56 → 56

prune566.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 26.9b

localize29.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (fma d d (* c c)))
32.0b	(sqrt (fma d d (* c c)))
17.4b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
0.6b	(- (* b c) (* a d))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `fma-udef` `hypot-def` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

4 → 96

Calls

4 calls:

Slowest

17.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
14.0ms	(- (* b c) (* a d))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
55.0ms	(sqrt (fma d d (* c c)))
54.0ms	(- (* b c) (* a d))
51.0ms	(sqrt (fma d d (* c c)))

simplify821.0ms

Counts: 108 → 108

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 24.0b

localize32.0ms

Local error

Found 4 expressions with local error:

32.0b	(sqrt (fma d d (* c c)))
32.0b	(sqrt (fma d d (* c c)))
17.5b	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
0.6b	(- (* b c) (* a d))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
22×	`-un-lft-identity` `times-frac` `associate-r*`
20×	`add-cube-cbrt`
17×	`sqrt-prod`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `associate-l` `flip--`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `cbrt-unprod` `fma-udef` `hypot-def`
1×	`cbrt-undiv` `rec-exp` `sub-neg` `fma-neg` `diff-log` `1-exp` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

Slowest

49.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
16.0ms	(- (* b c) (* a d))
6.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(* (- (* b c) (* a d)) (/ 1 (sqrt (fma d d (* c c)))))
62.0ms	(sqrt (fma d d (* c c)))
59.0ms	(sqrt (fma d d (* c c)))
56.0ms	(- (* b c) (* a d))

simplify1.3s

Counts: 117 → 117

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 24.0b

localize36.0ms

Local error

Found 3 expressions with local error:

26.6b	(/ (fma d d (* c c)) (- (* b c) (* a d)))
1.0b	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
0.6b	(- (* b c) (* a d))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
55×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-flip` `inv-pow`

Counts

3 → 136

Calls

3 calls:

Slowest

20.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
16.0ms	(- (* b c) (* a d))
11.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

168.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
88.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))
49.0ms	(- (* b c) (* a d))

simplify1.6s

Counts: 145 → 145

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 14.7b

regimes199.0ms

Accuracy

-7.8% (2.6b remaining)

Error of 16.5b against oracle of 13.8b and baseline of 16.3b

bsearch116.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8458×

body

valid