Details

sample104.0ms

Algorithm

intervals

Results

72.0ms

626×

body

valid

simplify1.4s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

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)
1.1b	(* (* b b) (+ 3.0 a))

rewrite178.0ms

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:

43.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
44.0ms	(* (* a a) (- 1.0 a))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
67.0ms	(* (* b b) (+ 3.0 a))

series350.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
82.0ms	(* (* a a) (- 1.0 a))
133.0ms	(pow (+ (* a a) (* b b)) 2.0)
60.0ms	(* (* b b) (+ 3.0 a))

simplify1.7s

Counts: 101 → 101

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3.0 a))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

65.0ms	(* (* b b) (+ 3.0 a))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series732.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* b b) (+ 3.0 a))
229.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
229.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
207.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify682.0ms

Counts: 81 → 81

prune551.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

21.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
33.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series902.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
223.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
234.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
220.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify651.0ms

Counts: 78 → 78

prune641.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.6b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

11.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
17.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
279.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
240.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
285.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify704.0ms

Counts: 78 → 78

prune678.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes406.0ms

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

sample3.4s

Algorithm

intervals

Results

2.7s

20293×

body

valid