Details

sample125.0ms

Algorithm

intervals

Results

104.0ms

710×

body

valid

simplify2.6s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1 (* 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) (- 1 (* 3 a))))))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
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-+` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

Slowest

52.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
30.0ms	(* (* a a) (+ 1 a))
29.0ms	(* (* b b) (- 1 (* 3 a)))
16.0ms	(pow (+ (* a a) (* b b)) 2)

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
60.0ms	(* (* b b) (- 1 (* 3 a)))
56.0ms	(* (* a a) (+ 1 a))
44.0ms	(pow (+ (* a a) (* b b)) 2)

simplify683.0ms

Counts: 96 → 96

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* 2 (* a a))))
0.9b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
0.1b	(* (* a a) (+ 1 a))

rewrite161.0ms

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`
13×	`pow2`
11×	`associate-r`
10×	`add-sqr-sqrt`
9×	`*-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-+`
1×	`flip3--` `swap-sqr` `flip--` `distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

Slowest

61.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
44.0ms	(* (* b b) (- 1 (* 3 a)))
28.0ms	(* (* a a) (* a a))
23.0ms	(* (* a a) (+ 1 a))

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
72.0ms	(* (* b b) (- 1 (* 3 a)))
69.0ms	(* (* a a) (* a a))
64.0ms	(* (* a a) (+ 1 a))

simplify942.0ms

Counts: 151 → 151

prune2.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ (* b b) (* 2 (* a a))))
0.9b	(* (* b b) (- 1 (* 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) (- 1 (* 3 a))))))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
20×	`frac-add`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`flip3-+` `flip-+`
10×	`add-sqr-sqrt` `associate-r`
9×	`*-un-lft-identity` `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`
1×	`+-commutative` `associate-+l+` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

Slowest

156.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
45.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
30.0ms	(* (* a a) (+ 1 a))
26.0ms	(* (* b b) (- 1 (* 3 a)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

159.0ms	(+ (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (pow a 4)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
93.0ms	(* (* a a) (+ 1 a))
72.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))
58.0ms	(* (* b b) (- 1 (* 3 a)))

simplify3.6s

Counts: 115 → 115

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1 (* 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))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`-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`
1×	`flip3--` `flip--` `distribute-lft-out`

Counts

4 → 99

Calls

4 calls:

Slowest

53.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
31.0ms	(* (* b b) (- 1 (* 3 a)))
24.0ms	(* (* a a) (+ 1 a))
24.0ms	(* b (+ (* b b) (* 2 (* a a))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

106.0ms	(* b (+ (* b b) (* 2 (* a a))))
87.0ms	(* b (* b (+ (* b b) (* 2 (* a a)))))
84.0ms	(* (* a a) (+ 1 a))
81.0ms	(* (* b b) (- 1 (* 3 a)))

simplify668.0ms

Counts: 111 → 111

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.9s

20784×

body

valid