Details

sample161.0ms

Algorithm

intervals

Results

134.0ms

617×

body

valid

simplify144.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

144.0ms

(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1)

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(- 1 (* 3 a))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-*r/` `insert-posit16`
3×	`distribute-rgt-in` `pow-unpow` `sub-neg` `unpow-prod-down` `distribute-lft-in`
2×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip-+` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

Slowest

49.0ms	(* (* b b) (- 1 (* 3 a)))
42.0ms	(* (* a a) (+ 1 a))
15.0ms	(pow (+ (* a a) (* b b)) 2)
9.0ms	(- 1 (* 3 a))

series242.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* a a) (+ 1 a))
64.0ms	(* (* b b) (- 1 (* 3 a)))
61.0ms	(- 1 (* 3 a))
46.0ms	(pow (+ (* a a) (* b b)) 2)

simplify7.0s

Counts

53 → 95

Calls

53 calls:

Slowest

1.1s	(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
849.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
754.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
384.0ms	(* a (sqrt (+ 1 a)))
272.0ms	(pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2)

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.6b	(* (* b b) (- 1 (* 3 a)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

46.0ms	(* (* b b) (- 1 (* 3 a)))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series506.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
64.0ms	(* (* b b) (- 1 (* 3 a)))

simplify6.8s

Counts

53 → 89

Calls

53 calls:

Slowest

775.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
339.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
313.0ms	(* (* b b) (- 1 (* 3 a)))
303.0ms	(* (* b b) (- 1 (* 3 a)))
299.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
9.2b	(cbrt (+ (* a a) (* b b)))
9.2b	(cbrt (+ (* a a) (* b b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

Slowest

8.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
6.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series505.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
133.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
120.0ms	(cbrt (+ (* a a) (* b b)))
107.0ms	(cbrt (+ (* a a) (* b b)))

simplify4.2s

Counts

38 → 74

Calls

38 calls:

Slowest

358.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
320.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
318.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
318.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
278.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
21.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
9.2b	(cbrt (+ (* a a) (* b b)))
9.2b	(cbrt (+ (* a a) (* b b)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

Slowest

14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(cbrt (+ (* a a) (* b b)))
137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
124.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
119.0ms	(cbrt (+ (* a a) (* b b)))

simplify4.0s

Counts

38 → 74

Calls

38 calls:

Slowest

352.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
328.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
308.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
260.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
246.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))

prune1.3s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes754.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch7.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

5.1s

20417×

body

valid