Details

sample108.0ms

Algorithm

intervals

Results

89.0ms

690×

body

valid

simplify1.9s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.3b	(* (- 4 (* a 12)) (* b b))
0.1b	(* (* (* a a) 4) a)
0.0b	(+ (* (* (* a a) 4) a) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
9×	`add-log-exp`
7×	`flip3-+` `associate-r` `associate-l` `flip-+`
4×	`frac-times` `associate-+r+` `associate-*l/` `insert-posit16`
3×	`swap-sqr` `*-commutative`
2×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `associate--l+` `associate-*r/` `unswap-sqr`
1×	`pow2` `+-commutative` `associate-+r-` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-sqr` `pow-prod-up` `flip--`

Counts

4 → 98

Calls

4 calls:

Slowest

75.0ms	(+ (* (* (* a a) 4) a) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1))
50.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
49.0ms	(* (* (* a a) 4) a)
23.0ms	(* (- 4 (* a 12)) (* b b))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(+ (* (* (* a a) 4) a) (- (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) 1))
56.0ms	(* (- 4 (* a 12)) (* b b))
40.0ms	(* (* (* a a) 4) a)
38.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify649.0ms

Counts: 110 → 110

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))
0.3b	(* (- 4 (* a 12)) (* b b))
0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

Slowest

58.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
34.0ms	(* (- 4 (* a 12)) (* b b))
15.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
60.0ms	(* (- 4 (* a 12)) (* b b))
56.0ms	(sqrt (+ (* a a) (* b b)))
52.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts: 100 → 100

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))
0.3b	(* (- 4 (* a 12)) (* b b))
0.1b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-l`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`cube-div` `prod-exp`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`
1×	`cube-mult` `pow-to-exp` `pow-plus` `flip3--` `unpow3` `pow-exp` `pow-prod-up` `flip--`

Counts

4 → 113

Calls

4 calls:

Slowest

56.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
50.0ms	(* (- 4 (* a 12)) (* b b))
7.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(* (- 4 (* a 12)) (* b b))
60.0ms	(sqrt (+ (* a a) (* b b)))
52.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.3s

Counts: 125 → 125

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (+ (* a a) (* b b)))
0.3b	(* (- 4 (* a 12)) (* b b))
0.1b	(* (* (* a a) 4) a)
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
19×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`unpow-prod-down` `sqrt-prod`
4×	`associate-r` `associate-l` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-l/` `-commutative`
1×	`pow-to-exp` `rem-sqrt-square` `flip3-+` `flip3--` `pow-exp` `flip-+` `sqrt-pow2` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

Slowest

65.0ms	(* (* (* a a) 4) a)
43.0ms	(* (- 4 (* a 12)) (* b b))
15.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
12.0ms	(sqrt (+ (* a a) (* b b)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
67.0ms	(* (- 4 (* a 12)) (* b b))
49.0ms	(* (* (* a a) 4) a)
49.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.5s

Counts: 96 → 96

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

4.5s

20263×

body

valid