Details

sample121.0ms

Algorithm

intervals

Results

102.0ms

640×

body

valid

simplify3.0s

Counts: 1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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)))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

Slowest

46.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
43.0ms	(* (* b b) (+ 3 a))
23.0ms	(* (* a a) (- 1 a))
17.0ms	(pow (+ (* a a) (* b b)) 2)

series332.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
66.0ms	(* (* a a) (- 1 a))
58.0ms	(* (* b b) (+ 3 a))
49.0ms	(pow (+ (* a a) (* b b)) 2)

simplify726.0ms

Counts: 99 → 99

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
14×	`associate-r`
13×	`pow2` `add-sqr-sqrt`
12×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `insert-posit16` `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 → 142

Calls

4 calls:

Slowest

39.0ms	(* (* b b) (+ 3 a))
37.0ms	(* (* a a) (- 1 a))
36.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
24.0ms	(* (* a a) (* a a))

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

70.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
68.0ms	(* (* a a) (- 1 a))
65.0ms	(* (* a a) (* a a))
58.0ms	(* (* b b) (+ 3 a))

simplify766.0ms

Counts: 154 → 154

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

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

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
20×	`frac-add`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`flip3-+` `flip-+`
13×	`add-sqr-sqrt` `associate-r`
12×	`*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
7×	`add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `flip--`
4×	`insert-posit16`
3×	`sum-log` `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 → 106

Calls

4 calls:

Slowest

168.0ms	(+ (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
52.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
34.0ms	(* (* b b) (+ 3 a))
24.0ms	(* (* a a) (- 1 a))

series334.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(+ (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
90.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
66.0ms	(* (* a a) (- 1 a))
45.0ms	(* (* b b) (+ 3 a))

simplify2.1s

Counts: 118 → 118

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-r*`
10×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`*-commutative` `insert-posit16` `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 → 102

Calls

4 calls:

Slowest

53.0ms	(* b (* b (+ (* b b) (* (* a a) 2))))
44.0ms	(* (* a a) (- 1 a))
40.0ms	(* (* b b) (+ 3 a))
37.0ms	(* b (+ (* b b) (* (* a a) 2)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* (* a a) (- 1 a))
84.0ms	(* b (* b (+ (* b b) (* (* a a) 2))))
69.0ms	(* b (+ (* b b) (* (* a a) 2)))
45.0ms	(* (* b b) (+ 3 a))

simplify813.0ms

Counts: 114 → 114

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch8.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.5s

20483×

body

valid