Details

sample40.0ms

Algorithm

intervals

Results

26.0ms

275×

body

valid

simplify21.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.2b

localize28.0ms

Local error

Found 2 expressions with local error:

24.2b	(/ (fma a c (* b d)) (fma d d (* c c)))
0.8b	(fma a c (* b d))

rewrite7.0ms

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`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

Slowest

6.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series160.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

117.0ms	(/ (fma a c (* b d)) (fma d d (* c c)))
43.0ms	(fma a c (* b d))

simplify1.2s

Counts: 47 → 47

prune417.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.8b

localize39.0ms

Local error

Found 4 expressions with local error:

31.7b	(sqrt (fma d d (* c c)))
31.7b	(sqrt (fma d d (* c c)))
15.9b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.8b	(fma a c (* b d))

rewrite12.0ms

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

7.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
65.0ms	(sqrt (fma d d (* c c)))
65.0ms	(sqrt (fma d d (* c c)))
59.0ms	(fma a c (* b d))

simplify968.0ms

Counts: 99 → 99

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 22.7b

localize25.0ms

Local error

Found 4 expressions with local error:

31.7b	(sqrt (fma d d (* c c)))
15.9b	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
0.8b	(fma a c (* b d))
0.1b	(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (hypot d c))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
96×	`add-sqr-sqrt`
95×	`*-un-lft-identity` `add-cube-cbrt`
51×	`sqrt-prod`
25×	`associate-/l*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r*`
6×	`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 → 179

Calls

4 calls:

Slowest

9.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
9.0ms	(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (hypot d c))
1.0ms	(sqrt (fma d d (* c c)))
0.0ms	(fma a c (* b d))

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(/ (/ (fma a c (* b d)) (sqrt (fma d d (* c c)))) (hypot d c))
162.0ms	(/ (fma a c (* b d)) (sqrt (fma d d (* c c))))
63.0ms	(sqrt (fma d d (* c c)))
53.0ms	(fma a c (* b d))

simplify1.4s

Counts: 191 → 191

prune2.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize24.0ms

Local error

Found 3 expressions with local error:

15.9b	(/ (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))

rewrite19.0ms

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

11.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
6.0ms	(/ (fma a c (* b d)) (hypot d c))
0.0ms	(fma a c (* b d))

series307.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

139.0ms	(/ (/ (fma a c (* b d)) (hypot d c)) (hypot d c))
126.0ms	(/ (fma a c (* b d)) (hypot d c))
42.0ms	(fma a c (* b d))

simplify839.0ms

Counts: 123 → 123

prune988.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.1b

regimes232.0ms

Accuracy

36.1% (6.9b remaining)

Error of 12.6b against oracle of 5.7b and baseline of 16.5b

bsearch95.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8497×

body

valid