Details

sample122.0ms

Algorithm

intervals

Results

100.0ms

630×

body

valid

simplify188.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

188.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.1b	(* (* a a) (+ 1 a))
0.0b	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

Slowest

98.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
58.0ms	(* (* b b) (- 1 (* 3 a)))
41.0ms	(* (* a a) (+ 1 a))
17.0ms	(pow (+ (* a a) (* b b)) 2)

series287.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

96.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
69.0ms	(* (* b b) (- 1 (* 3 a)))
65.0ms	(* (* a a) (+ 1 a))
56.0ms	(pow (+ (* a a) (* b b)) 2)

simplify24.8s

Counts

120 → 109

Calls

120 calls:

Slowest

1.1s	(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
885.0ms	(* (* (* (* a a) (+ 1 a)) (* (* a a) (+ 1 a))) (* (* a a) (+ 1 a)))
768.0ms	(* (* (* 4 4) 4) (* (* (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
606.0ms	(* (sqrt 4) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
592.0ms	(pow (+ (* a a) (* b b)) (/ 2 2))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
0.7b	(* (* b b) (- 1 (* 3 a)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

Slowest

33.0ms	(* (* b b) (- 1 (* 3 a)))
5.0ms	(cbrt (+ (* a a) (* b b)))
5.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series612.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

184.0ms	(cbrt (+ (* a a) (* b b)))
181.0ms	(cbrt (+ (* a a) (* b b)))
181.0ms	(cbrt (+ (* a a) (* b b)))
66.0ms	(* (* b b) (- 1 (* 3 a)))

simplify10.4s

Counts

96 → 80

Calls

96 calls:

Slowest

399.0ms	(* (* b b) (- (pow 1 3) (pow (* 3 a) 3)))
382.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
361.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
360.0ms	(log (* (* b b) (- 1 (* 3 a))))
349.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize108.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))

series625.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(cbrt (+ (* a a) (* b b)))
160.0ms	(cbrt (+ (* a a) (* b b)))
150.0ms	(cbrt (+ (* a a) (* b b)))
148.0ms	(cbrt (+ (* a a) (* b b)))

simplify6.3s

Counts

84 → 68

Calls

84 calls:

Slowest

470.0ms	(cbrt (sqrt (+ (* a a) (* b b))))
409.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
366.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
344.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
342.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

Slowest

11.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

170.0ms	(cbrt (+ (* a a) (* b b)))
153.0ms	(cbrt (+ (* a a) (* b b)))
75.0ms	(sqrt (+ (* a a) (* b b)))
57.0ms	(sqrt (+ (* a a) (* b b)))

simplify5.5s

Counts

86 → 72

Calls

86 calls:

Slowest

410.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
384.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
356.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
337.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
335.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes550.0ms

Accuracy

0% (0.1b remaining)

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

bsearch8.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

5.5s

20659×

body

valid