Details

sample71.0ms

Algorithm

intervals

Results

27.0ms	256×	pre	80	true
18.0ms	256×	body	80	valid

simplify124.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* a (+ (+ b c) d))
0.0b	(+ (+ b c) d)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
3×	`sum-log` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

Slowest

61.0ms	(* a (+ (+ b c) d))
36.0ms	(+ (+ b c) d)

series56.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

32.0ms	(* a (+ (+ b c) d))
24.0ms	(+ (+ b c) d)

simplify1.6s

Counts: 55 → 55

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)
0.0b	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.0b	(sqrt (+ b c))
0.0b	(sqrt (+ b c))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`pow1` `add-cube-cbrt` `sqrt-prod`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `hypot-def` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

Slowest

6.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
5.0ms	(sqrt (+ b c))
5.0ms	(sqrt (+ b c))
0.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

series489.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
187.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)
47.0ms	(sqrt (+ b c))
46.0ms	(sqrt (+ b c))

simplify846.0ms

Counts: 86 → 86

prune821.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (sqrt a) (* (sqrt a) (+ (+ c b) d)))
0.3b	(* (sqrt a) (+ (+ c b) d))
0.0b	(+ (+ c b) d)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`associate-l`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`sqrt-prod` `distribute-lft-out`
6×	`associate-r` `associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sum-log` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l+`

Counts

3 → 83

Calls

3 calls:

Slowest

110.0ms	(* (sqrt a) (* (sqrt a) (+ (+ c b) d)))
75.0ms	(* (sqrt a) (+ (+ c b) d))
30.0ms	(+ (+ c b) d)

series276.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

165.0ms	(* (sqrt a) (+ (+ c b) d))
80.0ms	(* (sqrt a) (* (sqrt a) (+ (+ c b) d)))
30.0ms	(+ (+ c b) d)

simplify3.9s

Counts: 92 → 92

prune768.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d))))
0.4b	(* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d)))
0.3b	(* (sqrt a) (+ (+ c b) d))
0.1b	(sqrt (sqrt a))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
24×	`associate-l`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
17×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-cube-cbrt`
12×	`associate-*r/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `*-commutative` `flip-+` `distribute-lft-out`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

Slowest

229.0ms	(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d))))
91.0ms	(* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d)))
56.0ms	(* (sqrt a) (+ (+ c b) d))
2.0ms	(sqrt (sqrt a))

series702.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d)))
189.0ms	(sqrt (sqrt a))
164.0ms	(* (sqrt a) (+ (+ c b) d))
64.0ms	(* (sqrt (sqrt a)) (* (sqrt (sqrt a)) (* (sqrt a) (+ (+ c b) d))))

simplify637.0ms

Counts: 138 → 138

prune1.2s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

734.0ms	8000×	body	80	valid
480.0ms	8000×	pre	80	true