Details

sample92.0ms

Algorithm

intervals

Results

75.0ms

640×

body

valid

simplify1.9s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.0b	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
0.0b	(* (* b b) 4)
0.0b	(+ (* a a) (* b b))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`flip3-+` `flip-+` `add-log-exp`
6×	`associate-r`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `sum-log` `distribute-lft-in` `associate-l/` `associate-r/` `*-commutative` `unswap-sqr`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 82

Calls

4 calls:

Slowest

46.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
22.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
15.0ms	(* (* b b) 4)
14.0ms	(+ (* a a) (* b b))

series249.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
56.0ms	(* (* b b) 4)
46.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
45.0ms	(+ (* a a) (* b b))

simplify585.0ms

Counts: 94 → 94

prune857.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

7.7b	(sqrt (+ (* a a) (* b b)))
7.7b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
25×	`pow1`
20×	`add-sqr-sqrt`
16×	`associate-*l/`
13×	`sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `pow-prod-up` `add-cube-cbrt`
10×	`associate-*r/`
7×	`sqrt-pow1` `pow1/2`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow3`
2×	`rem-sqrt-square` `*-commutative` `unswap-sqr`
1×	`pow-plus`

Counts

4 → 120

Calls

4 calls:

Slowest

83.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
65.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
59.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
58.0ms	(sqrt (+ (* a a) (* b b)))
56.0ms	(sqrt (+ (* a a) (* b b)))

simplify711.0ms

Counts: 132 → 132

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

7.7b	(sqrt (+ (* a a) (* b b)))
0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
0.0b	(* (* b b) 4)
0.0b	(+ (* a a) (* b b))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `add-log-exp`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `flip-+`
2×	`+-commutative` `sum-log` `sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

Slowest

58.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
30.0ms	(* (* b b) 4)
14.0ms	(+ (* a a) (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
48.0ms	(sqrt (+ (* a a) (* b b)))
47.0ms	(* (* b b) 4)
34.0ms	(+ (* a a) (* b b))

simplify1.3s

Counts: 72 → 72

prune817.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* b b) (+ (* b b) (* (* a a) 2)))
0.2b	(* (* a a) (* a a))
0.0b	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (* (* a a) (* a a))))
0.0b	(* (* b b) 4)

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
36×	`pow-prod-up`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`sum-log` `associate-l` `*-commutative` `unswap-sqr`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `associate-+r+` `distribute-lft-in` `swap-sqr`

Counts

4 → 122

Calls

4 calls:

Slowest

68.0ms	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (* (* a a) (* a a))))
51.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
49.0ms	(* (* a a) (* a a))
19.0ms	(* (* b b) 4)

series300.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(* (* b b) (+ (* b b) (* (* a a) 2)))
100.0ms	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* (* a a) 2))) (* (* a a) (* a a))))
50.0ms	(* (* b b) 4)
45.0ms	(* (* a a) (* a a))

simplify793.0ms

Counts: 134 → 134

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.2s

20483×

body

valid