Details

sample115.0ms

Algorithm

intervals

Results

78.0ms

641×

body

valid

simplify1.3s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.3b	(* (* b b) (+ 3.0 a))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

29.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
38.0ms	(* (* a a) (- 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
42.0ms	(* (* b b) (+ 3.0 a))

series373.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
95.0ms	(* (* a a) (- 1.0 a))
146.0ms	(pow (+ (* a a) (* b b)) 2.0)
54.0ms	(* (* b b) (+ 3.0 a))

simplify1.7s

Counts: 101 → 101

prune506.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

100.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series865.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
226.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
218.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
234.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts: 121 → 121

prune624.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

13.0b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.0b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

16.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series780.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
171.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
202.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
205.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.6s

Counts: 80 → 80

prune691.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
2.3b	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
26×	`unpow-prod-down`
20×	`sqrt-prod`
19×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`sqr-pow`
5×	`add-exp-log`
4×	`rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/2`
1×	`pow-to-exp` `pow-exp` `sqrt-pow2`

Counts

4 → 85

Calls

4 calls:

42.0ms	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
44.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series867.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(pow (sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0))) 4)
212.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
219.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
242.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.0s

Counts: 97 → 97

prune645.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.2s

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.9s

20262×

body

valid