Details

sample119.0ms

Algorithm

intervals

Results

94.0ms

710×

body

valid

simplify3.5s

Counts: 1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3 a))
0.4b	(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)))))

rewrite167.0ms

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

80.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
40.0ms	(* (* b b) (+ 3 a))
28.0ms	(* (* a a) (- 1 a))
16.0ms	(pow (+ (* a a) (* b b)) 2)

series357.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
72.0ms	(* (* a a) (- 1 a))
67.0ms	(pow (+ (* a a) (* b b)) 2)
51.0ms	(* (* b b) (+ 3 a))

simplify695.0ms

Counts: 99 → 99

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* (* a a) 2)))
1.1b	(* (* b b) (+ 3 a))
0.2b	(* (* a a) (* a a))
0.1b	(* (* a a) (- 1 a))

rewrite131.0ms

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

45.0ms	(* (* a a) (* a a))
32.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
28.0ms	(* (* a a) (- 1 a))
23.0ms	(* (* b b) (+ 3 a))

series272.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

87.0ms	(* (* a a) (- 1 a))
82.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
52.0ms	(* (* a a) (* a a))
51.0ms	(* (* b b) (+ 3 a))

simplify640.0ms

Counts: 154 → 154

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* (* a a) 2)))
1.1b	(* (* 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)))))

rewrite276.0ms

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

159.0ms	(+ (+ (* (* 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)))
37.0ms	(* (* b b) (+ 3 a))
26.0ms	(* (* a a) (- 1 a))

series375.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(+ (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (pow a 4)) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
101.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
83.0ms	(* (* a a) (- 1 a))
50.0ms	(* (* b b) (+ 3 a))

simplify2.3s

Counts: 118 → 118

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* 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))

rewrite145.0ms

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))))
35.0ms	(* b (+ (* b b) (* (* a a) 2)))
30.0ms	(* (* b b) (+ 3 a))
25.0ms	(* (* a a) (- 1 a))

series235.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(* b (* b (+ (* b b) (* (* a a) 2))))
65.0ms	(* b (+ (* b b) (* (* a a) 2)))
62.0ms	(* (* a a) (- 1 a))
40.0ms	(* (* b b) (+ 3 a))

simplify742.0ms

Counts: 114 → 114

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20784×

body

valid