Details

sample156.0ms

Algorithm

intervals

Results

128.0ms

630×

body

valid

simplify177.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

177.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (+ 3 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.0b	(* (* a a) (- 1 a))
0.0b	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`add-sqr-sqrt` `pow1` `add-exp-log`
16×	`add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`associate-r`
10×	`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` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

Slowest

85.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
51.0ms	(* (* a a) (- 1 a))
33.0ms	(* (* b b) (+ 3 a))
16.0ms	(pow (+ (* a a) (* b b)) 2)

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(* (* a a) (- 1 a))
64.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
62.0ms	(pow (+ (* a a) (* b b)) 2)
39.0ms	(* (* b b) (+ 3 a))

simplify19.2s

Counts

123 → 112

Calls

123 calls:

Slowest

668.0ms	(* (* (* 4 4) 4) (* (* (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
650.0ms	(* (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (* (* a a) (- 1 a)))
641.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (- 1 a) (- 1 a)) (- 1 a)))
609.0ms	(* 4 (+ (* (* (* a a) (- (pow 1 3) (pow a 3))) (+ (* 3 3) (- (* a a) (* 3 a)))) (* (+ (* 1 1) (+ (* a a) (* 1 a))) (* (* b b) (+ (pow 3 3) (pow a 3))))))
567.0ms	(pow (cbrt (+ (* a a) (* b b))) 2)

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize68.0ms

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)))
0.8b	(* (* b b) (+ 3 a))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

Slowest

48.0ms	(* (* b b) (+ 3 a))
8.0ms	(cbrt (+ (* a a) (* b b)))
6.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(cbrt (+ (* a a) (* b b)))
127.0ms	(cbrt (+ (* a a) (* b b)))
124.0ms	(cbrt (+ (* a a) (* b b)))
35.0ms	(* (* b b) (+ 3 a))

simplify5.7s

Counts

93 → 79

Calls

93 calls:

Slowest

365.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
330.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
321.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
304.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
288.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize73.0ms

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)))

rewrite41.0ms

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

13.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (+ (* a a) (* b b)))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

127.0ms	(cbrt (+ (* a a) (* b b)))
124.0ms	(cbrt (+ (* a a) (* b b)))
66.0ms	(sqrt (+ (* a a) (* b b)))
48.0ms	(sqrt (+ (* a a) (* b b)))

simplify5.7s

Counts

86 → 72

Calls

86 calls:

Slowest

756.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
344.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
343.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
323.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
321.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.5s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize80.0ms

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)))

rewrite21.0ms

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

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

series389.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (+ (* a a) (* b b)))
151.0ms	(cbrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.8s

Counts

86 → 72

Calls

86 calls:

Slowest

347.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
330.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
318.0ms	(sqrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))
304.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
297.0ms	(cbrt (+ (* (* a a) (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* b b)))))

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes446.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20659×

body

valid