Details

sample44.0ms

Algorithm

intervals

Results

30.0ms

268×

body

valid

simplify25.0ms

Counts: 1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.4b

localize33.0ms

Local error

Found 3 expressions with local error:

25.4b	(/ (fma a c (* b d)) (fma d d (* c c)))
0.8b	(fma a c (* b d))
0.0b	(fma d d (* c c))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

3 → 52

Calls

3 calls:

Slowest

7.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
0.0ms	(fma a c (* b d))
0.0ms	(fma d d (* c c))

series193.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

110.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
45.0ms	(fma a c (* b d))
38.0ms	(fma d d (* c c))

simplify1.1s

Counts: 61 → 61

prune741.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.9b

localize40.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (fma d d (* c c)))
27.6b	(sqrt (fma d d (* c c)))
16.3b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.8b	(fma a c (* b d))

rewrite16.0ms

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`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

9.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
3.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
61.0ms	(sqrt (fma d d (* c c)))
57.0ms	(sqrt (fma d d (* c c)))
54.0ms	(fma a c (* b d))

simplify1.1s

Counts: 99 → 99

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.4b

localize24.0ms

Local error

Found 4 expressions with local error:

27.6b	(sqrt (fma d d (* c c)))
16.3b	(/ (fma a c (* b d)) (hypot d c))
0.8b	(fma a c (* b d))
0.1b	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`add-sqr-sqrt`
90×	`*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
16×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*` `div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `hypot-def` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

Slowest

10.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))
4.0ms	(/ (fma a c (* b d)) (hypot d c))
1.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series474.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (sqrt (fma d d (* c c))))
152.0ms	(/ (fma a c (* b d)) (hypot d c))
59.0ms	(sqrt (fma d d (* c c)))
59.0ms	(fma a c (* b d))

simplify1.5s

Counts: 185 → 185

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 14.9b

localize22.0ms

Local error

Found 3 expressions with local error:

16.3b	(/ (fma a c (* b d)) (hypot d c))
0.8b	(fma a c (* b d))
0.1b	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`fma-udef` `associate-/l/`

Counts

3 → 114

Calls

3 calls:

Slowest

7.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
5.0ms	(/ (fma a c (* b d)) (hypot d c))
0.0ms	(fma a c (* b d))

series339.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

147.0ms	(/ (fma a c (* b d)) (hypot d c))
137.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
54.0ms	(fma a c (* b d))

simplify918.0ms

Counts: 123 → 123

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

regimes298.0ms

Accuracy

32.5% (7.5b remaining)

Error of 13.0b against oracle of 5.5b and baseline of 16.7b

bsearch79.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

807.0ms

8469×

body

valid