Details

sample118.0ms

Algorithm

intervals

Results

96.0ms

640×

body

valid

simplify802.0ms

Counts: 1 → 1

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (- 1 a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
8×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `difference-of-squares` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 121

Calls

4 calls:

Slowest

57.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
33.0ms	(* (* a a) (- 1 a))
22.0ms	(* (* b b) (+ 3 a))
9.0ms	(pow (+ (* a a) (* b b)) 2)

series322.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
67.0ms	(* (* a a) (- 1 a))
50.0ms	(pow (+ (* a a) (* b b)) 2)
49.0ms	(* (* b b) (+ 3 a))

simplify940.0ms

Counts: 133 → 133

prune1.6s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* b b) (+ (* b b) (* 2 (* a a))))
0.8b	(* (* b b) (+ 3 a))
0.2b	(* (* a a) (* a a))
0.1b	(* (* a a) (- 1 a))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`pow-sqr`
19×	`add-cube-cbrt`
18×	`pow-plus` `prod-diff`
17×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`pow2` `distribute-rgt-in` `distribute-lft-in`
6×	`associate-*r/`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`sub-neg` `flip3-+` `flip-+` `difference-of-squares`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 168

Calls

4 calls:

Slowest

56.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
33.0ms	(* (* a a) (- 1 a))
31.0ms	(* (* a a) (* a a))
28.0ms	(* (* b b) (+ 3 a))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
77.0ms	(* (* a a) (- 1 a))
61.0ms	(* (* b b) (+ 3 a))
50.0ms	(* (* a a) (* a a))

simplify1.0s

Counts: 180 → 180

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* b b) (+ (* b b) (* 2 (* a a))))
0.8b	(* (* b b) (+ 3 a))
0.1b	(* (* a a) (- 1 a))
0.0b	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
26×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
20×	`frac-add` `add-cube-cbrt`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
18×	`prod-diff`
15×	`flip3-+` `flip-+`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `associate-l` `*-commutative` `unswap-sqr`
2×	`associate-+r+` `sub-neg` `difference-of-squares`
1×	`+-commutative` `associate-+l+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 135

Calls

4 calls:

Slowest

162.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
63.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
28.0ms	(* (* a a) (- 1 a))
23.0ms	(* (* b b) (+ 3 a))

series297.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
65.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
59.0ms	(* (* a a) (- 1 a))
42.0ms	(* (* b b) (+ 3 a))

simplify2.5s

Counts: 147 → 147

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3 a))
0.2b	(* b (+ (* b b) (* 2 (* a a))))
0.1b	(* b (* b (+ (* b b) (* 2 (* a a)))))
0.1b	(* (* a a) (- 1 a))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
21×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
18×	`prod-diff`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-r`
10×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
8×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`sub-neg` `difference-of-squares`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

Slowest

33.0ms	(* (* a a) (- 1 a))
31.0ms	(* (* b b) (+ 3 a))
28.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
18.0ms	(* b (+ (* b b) (* 2 (* a a))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
71.0ms	(* (* a a) (- 1 a))
66.0ms	(* b (+ (* b b) (* 2 (* a a))))
48.0ms	(* (* b b) (+ 3 a))

simplify772.0ms

Counts: 140 → 140

prune2.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch10.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.7s

20483×

body

valid