Details

sample72.0ms

Algorithm

intervals

Results

52.0ms

271×

body

valid

simplify110.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize38.0ms

Local error

Found 3 expressions with local error:

24.6b	(/ (- (* b c) (* a d)) (fma d d (* c c)))
1.0b	(- (* b c) (* a d))
0.0b	(fma d d (* c c))

rewrite50.0ms

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` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `fma-udef` `div-inv`

Counts

3 → 61

Calls

3 calls:

Slowest

33.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
15.0ms	(- (* b c) (* a d))
0.0ms	(fma d d (* c c))

series245.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

145.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
57.0ms	(- (* b c) (* a d))
42.0ms	(fma d d (* c c))

simplify1.2s

Counts: 70 → 70

prune709.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 24.1b

localize27.0ms

Local error

Found 4 expressions with local error:

27.8b	(sqrt (fma d d (* c c)))
27.8b	(sqrt (fma d d (* c c)))
16.1b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.0b	(- (* b c) (* a d))

rewrite30.0ms

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))))
8.0ms	(- (* b c) (* a d))
2.0ms	(sqrt (fma d d (* c c)))
2.0ms	(sqrt (fma d d (* c c)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

139.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
59.0ms	(sqrt (fma d d (* c c)))
53.0ms	(- (* b c) (* a d))
47.0ms	(sqrt (fma d d (* c c)))

simplify830.0ms

Counts: 108 → 108

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 22.0b

localize32.0ms

Local error

Found 4 expressions with local error:

27.8b	(sqrt (fma d d (* c c)))
27.8b	(sqrt (fma d d (* c c)))
16.1b	(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
1.0b	(- (* c b) (* d a))

rewrite33.0ms

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

16.0ms	(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
13.0ms	(- (* c b) (* d a))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (- (* c b) (* d a)) (sqrt (fma d d (* c c))))
75.0ms	(sqrt (fma d d (* c c)))
47.0ms	(- (* c b) (* d a))
47.0ms	(sqrt (fma d d (* c c)))

simplify1.2s

Counts: 108 → 108

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 22.0b

localize32.0ms

Local error

Found 4 expressions with local error:

24.1b	(/ (fma d d (* c c)) (- (* b c) (* a d)))
1.0b	(- (* b c) (* a d))
0.9b	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
0.0b	(fma d d (* c c))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

Slowest

16.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
15.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))
8.0ms	(- (* b c) (* a d))
0.0ms	(fma d d (* c c))

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

189.0ms	(/ 1 (/ (fma d d (* c c)) (- (* b c) (* a d))))
98.0ms	(/ (fma d d (* c c)) (- (* b c) (* a d)))
52.0ms	(- (* b c) (* a d))
50.0ms	(fma d d (* c c))

simplify1.6s

Counts: 159 → 159

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 14.2b

regimes290.0ms

Accuracy

0% (2.5b remaining)

Error of 16.1b against oracle of 13.6b and baseline of 16.1b

bsearch3.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

839.0ms

8461×

body

valid