Details

sample107.0ms

Algorithm

intervals

Results

85.0ms

690×

body

valid

simplify2.7s

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.2b	(* (* b b) 12)
0.2b	(* (- (* b b) (* a a)) a)
0.0b	(+ (* (- (* b b) (* a a)) a) (* a a))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

32.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
26.0ms	(* (- (* b b) (* a a)) a)
19.0ms	(* (* b b) 12)
16.0ms	(+ (* (- (* b b) (* a a)) a) (* a a))

series223.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(* (- (* b b) (* a a)) a)
50.0ms	(+ (* (- (* b b) (* a a)) a) (* a a))
38.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
34.0ms	(* (* b b) 12)

simplify751.0ms

Counts: 103 → 103

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize90.0ms

Local error

Found 4 expressions with local error:

10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))
0.2b	(* (* b b) 12)
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

Slowest

62.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
36.0ms	(* (* b b) 12)
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
54.0ms	(sqrt (+ (* a a) (* b b)))
46.0ms	(sqrt (+ (* a a) (* b b)))
40.0ms	(* (* b b) 12)

simplify1.7s

Counts: 102 → 102

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `sqrt-prod`
5×	`associate-l`
4×	`sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-l/` `-commutative` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

Slowest

31.0ms	(* (* b b) 12)
22.0ms	(* (- (* b b) (* a a)) a)
12.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(* (- (* b b) (* a a)) a)
70.0ms	(sqrt (+ (* a a) (* b b)))
60.0ms	(sqrt (+ (* a a) (* b b)))
28.0ms	(* (* b b) 12)

simplify1.0s

Counts: 86 → 86

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
11.8b	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
10.0b	(sqrt (+ (* a a) (* b b)))
10.0b	(sqrt (+ (* a a) (* b b)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-div`
20×	`pow1` `sqrt-pow1`
14×	`flip3-+` `flip-+`
10×	`add-sqr-sqrt`
8×	`frac-times` `pow1/2` `sqrt-prod`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow-plus` `add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `pow-prod-down`

Counts

4 → 82

Calls

4 calls:

Slowest

19.0ms	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
15.0ms	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

154.0ms	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
134.0ms	(sqrt (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
57.0ms	(sqrt (+ (* a a) (* b b)))
51.0ms	(sqrt (+ (* a a) (* b b)))

simplify754.0ms

Counts: 94 → 94

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

20263×

body

valid