Details

sample633.0ms

Algorithm

intervals

Results

135.0ms	270×	body	80	nan
107.0ms	129×	body	320	valid
66.0ms	81×	body	160	valid
45.0ms	526×	pre	80	true
8.0ms	11×	body	640	valid
6.0ms	35×	body	80	valid

simplify245.0ms

Counts: 1 → 1

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize36.0ms

Local error

Found 4 expressions with local error:

26.3b	(- (sqrt (fma c (* -4 a) (* b b))) b)
0.1b	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
0.1b	(fma c (* -4 a) (* b b))
0.0b	(sqrt (fma c (* -4 a) (* b b)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
135×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
82×	`add-cube-cbrt`
28×	`sqrt-prod`
26×	`difference-of-squares`
22×	`associate-/l*`
18×	`prod-diff`
13×	`distribute-lft-out--`
9×	`add-cbrt-cube` `add-exp-log`
6×	`fma-neg` `add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`div-sub`
1×	`rem-sqrt-square` `clear-num` `sub-neg` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `fma-udef` `flip--` `associate-/l/`

Counts

4 → 179

Calls

4 calls:

Slowest

15.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
10.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)
1.0ms	(sqrt (fma c (* -4 a) (* b b)))
0.0ms	(fma c (* -4 a) (* b b))

series838.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

271.0ms	(fma c (* -4 a) (* b b))
258.0ms	(sqrt (fma c (* -4 a) (* b b)))
201.0ms	(/ (/ (- (sqrt (fma c (* -4 a) (* b b))) b) 2) a)
108.0ms	(- (sqrt (fma c (* -4 a) (* b b))) b)

simplify733.0ms

Counts: 191 → 191

prune3.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 48.4b

localize62.0ms

Local error

Found 4 expressions with local error:

50.8b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.1b	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
0.1b	(fma c (* -4 a) (* b b))
0.1b	(fma c (* -4 a) (* b b))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

Slowest

15.0ms	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma c (* -4 a) (* b b))
0.0ms	(fma c (* -4 a) (* b b))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

535.0ms	(/ (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) a)
377.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
93.0ms	(fma c (* -4 a) (* b b))
73.0ms	(fma c (* -4 a) (* b b))

simplify1.6s

Counts: 118 → 118

prune1.4s

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 48.4b

localize46.0ms

Local error

Found 4 expressions with local error:

50.8b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.2b	(* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a))
0.1b	(fma c (* -4 a) (* b b))
0.1b	(fma c (* -4 a) (* b b))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
26×	`add-exp-log`
25×	`times-frac`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`div-exp` `prod-exp`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative`

Counts

4 → 93

Calls

4 calls:

Slowest

27.0ms	(* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a))
1.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma c (* -4 a) (* b b))
0.0ms	(fma c (* -4 a) (* b b))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

520.0ms	(* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a))
434.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
87.0ms	(fma c (* -4 a) (* b b))
55.0ms	(fma c (* -4 a) (* b b))

simplify2.1s

Counts: 105 → 105

prune1.4s

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 48.4b

localize66.0ms

Local error

Found 4 expressions with local error:

50.8b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
50.8b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
50.8b	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.5b	(cbrt (* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-udef`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-l/` `associate-r/` `un-div-inv`

Counts

4 → 49

Calls

4 calls:

Slowest

6.0ms	(cbrt (* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a)))
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
0.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

611.0ms	(cbrt (* (/ (fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b)) 2) (/ 1 a)))
449.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
426.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))
401.0ms	(fma (sqrt (sqrt (fma c (* -4 a) (* b b)))) (sqrt (sqrt (fma c (* -4 a) (* b b)))) (- b))

simplify1.4s

Counts: 61 → 61

prune904.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 48.4b

regimes1.1s

Accuracy

0% (2.6b remaining)

Error of 51.8b against oracle of 49.2b and baseline of 51.8b

bsearch7.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

1.5s	3606×	body	320	valid
1.4s	16236×	pre	80	true
1.4s	2935×	body	160	valid
1.1s	8236×	body	80	nan
281.0ms	541×	body	640	valid
110.0ms	918×	body	80	valid