Details

sample44.0ms

Algorithm

intervals

Results

31.0ms

273×

body

valid

simplify80.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize25.0ms

Local error

Found 2 expressions with local error:

27.9b	(/ (- (* b c) (* a d)) (fma d d (* c c)))
1.1b	(- (* b c) (* a d))

rewrite40.0ms

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

26.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
13.0ms	(- (* b c) (* a d))

series141.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

94.0ms	(/ (- (* b c) (* a d)) (fma d d (* c c)))
47.0ms	(- (* b c) (* a d))

simplify781.0ms

Counts: 56 → 56

prune470.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 27.4b

localize25.0ms

Local error

Found 4 expressions with local error:

31.5b	(sqrt (fma d d (* c c)))
31.5b	(sqrt (fma d d (* c c)))
17.5b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.1b	(- (* b c) (* a d))

rewrite38.0ms

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

21.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
13.0ms	(- (* b c) (* a d))
1.0ms	(sqrt (fma d d (* c c)))
1.0ms	(sqrt (fma d d (* c c)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

135.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
70.0ms	(sqrt (fma d d (* c c)))
59.0ms	(sqrt (fma d d (* c c)))
47.0ms	(- (* b c) (* a d))

simplify853.0ms

Counts: 108 → 108

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 26.3b

localize28.0ms

Local error

Found 4 expressions with local error:

31.5b	(sqrt (fma d d (* c c)))
17.5b	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
1.1b	(- (* b c) (* a d))
0.1b	(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))

rewrite56.0ms

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` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log` `prod-diff` `fma-udef` `hypot-def`

Counts

4 → 189

Calls

4 calls:

Slowest

22.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
16.0ms	(- (* b c) (* a d))
15.0ms	(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))
1.0ms	(sqrt (fma d d (* c c)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(/ (/ (- (* b c) (* a d)) (sqrt (fma d d (* c c)))) (hypot d c))
161.0ms	(/ (- (* b c) (* a d)) (sqrt (fma d d (* c c))))
65.0ms	(sqrt (fma d d (* c c)))
44.0ms	(- (* b c) (* a d))

simplify616.0ms

Counts: 201 → 201

prune2.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 3 expressions with local error:

17.5b	(/ (- (* c b) (* d a)) (hypot d c))
1.1b	(- (* c b) (* d a))
0.1b	(/ (/ (- (* c b) (* d a)) (hypot d c)) (hypot d c))

rewrite43.0ms

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

Counts

3 → 124

Calls

3 calls:

Slowest

18.0ms	(/ (/ (- (* c b) (* d a)) (hypot d c)) (hypot d c))
16.0ms	(/ (- (* c b) (* d a)) (hypot d c))
8.0ms	(- (* c b) (* d a))

series284.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(/ (/ (- (* c b) (* d a)) (hypot d c)) (hypot d c))
115.0ms	(/ (- (* c b) (* d a)) (hypot d c))
41.0ms	(- (* c b) (* d a))

simplify1.3s

Counts: 133 → 133

prune980.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.3b

regimes284.0ms

Accuracy

32.6% (7.2b remaining)

Error of 12.9b against oracle of 5.7b and baseline of 16.3b

bsearch86.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

8485×

body

valid