Details

sample144.0ms

Algorithm

intervals

Results

121.0ms

691×

body

valid

simplify151.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

151.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))

rewrite145.0ms

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×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `insert-posit16`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

Slowest

65.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
36.0ms	(* (* b b) (- 1 (* 3 a)))
30.0ms	(* (* a a) (+ 1 a))
12.0ms	(pow (+ (* a a) (* b b)) 2)

series312.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
62.0ms	(* (* a a) (+ 1 a))
62.0ms	(* (* b b) (- 1 (* 3 a)))
46.0ms	(pow (+ (* a a) (* b b)) 2)

simplify7.8s

Counts

55 → 96

Calls

55 calls:

Slowest

1.1s	(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
851.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
847.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
414.0ms	(* 4 (* (* b b) (- 1 (* 3 a))))
290.0ms	(* (* (* b b) (- 1 (* 3 a))) 4)

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize87.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (+ (* a a) (* b b)))
6.4b	(cbrt (+ (* a a) (* b b)))
0.5b	(pow (cbrt (+ (* a a) (* b b))) 2)
0.3b	(* (* b b) (- 1 (* 3 a)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

33.0ms	(* (* b b) (- 1 (* 3 a)))
8.0ms	(pow (cbrt (+ (* 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

167.0ms	(pow (cbrt (+ (* a a) (* b b))) 2)
159.0ms	(cbrt (+ (* a a) (* b b)))
136.0ms	(cbrt (+ (* a a) (* b b)))
72.0ms	(* (* b b) (- 1 (* 3 a)))

simplify6.0s

Counts

50 → 89

Calls

50 calls:

Slowest

1.2s	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
312.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
306.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
295.0ms	(* (* b b) (- 1 (* 3 a)))
260.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (+ (* a a) (* b b)))
5.9b	(sqrt (+ (* a a) (* b b)))
5.9b	(sqrt (+ (* a a) (* b b)))
0.6b	(cbrt (sqrt (+ (* a a) (* b b))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
6×	`pow1` `sqrt-div`
4×	`cbrt-div` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 63

Calls

4 calls:

Slowest

6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
5.0ms	(cbrt (sqrt (+ (* a a) (* b b))))
4.0ms	(cbrt (+ (* a a) (* b b)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

133.0ms	(cbrt (+ (* a a) (* b b)))
120.0ms	(cbrt (sqrt (+ (* a a) (* b b))))
51.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.7s

Counts

39 → 75

Calls

39 calls:

Slowest

330.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
313.0ms	(cbrt (sqrt (+ (pow (* a a) 3) (pow (* b b) 3))))
256.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
250.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
240.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

6.4b	(cbrt (+ (* a a) (* b b)))
5.9b	(sqrt (+ (* a a) (* b b)))
5.9b	(sqrt (+ (* a a) (* b b)))
5.9b	(sqrt (+ (* a a) (* b b)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`sqrt-div`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 62

Calls

4 calls:

Slowest

11.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(cbrt (+ (* a a) (* b b)))
59.0ms	(sqrt (+ (* a a) (* b b)))
49.0ms	(sqrt (+ (* a a) (* b b)))
43.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.6s

Counts

38 → 74

Calls

38 calls:

Slowest

352.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
329.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
295.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
279.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
276.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.6s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes704.0ms

Accuracy

0% (0.1b remaining)

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

bsearch8.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

5.1s

20692×

body

valid