Details

sample108.0ms

Algorithm

intervals

Results

89.0ms

630×

body

valid

simplify152.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

152.0ms

(- (+ (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

localize49.0ms

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))

rewrite82.0ms

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

48.0ms	(* (* b b) (- 1 (* 3 a)))
21.0ms	(* (* a a) (+ 1 a))
8.0ms	(pow (+ (* a a) (* b b)) 2)
5.0ms	(- 1 (* 3 a))

series274.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(* (* a a) (+ 1 a))
79.0ms	(* (* b b) (- 1 (* 3 a)))
63.0ms	(- 1 (* 3 a))
42.0ms	(pow (+ (* a a) (* b b)) 2)

simplify6.6s

Counts

53 → 95

Calls

53 calls:

Slowest

966.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
835.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
747.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
314.0ms	(* (* b b) (- 1 (* 3 a)))
295.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.6b	(* (* b b) (- 1 (* 3 a)))

rewrite70.0ms

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

47.0ms	(* (* b b) (- 1 (* 3 a)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
6.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
6.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series602.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
172.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
171.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
84.0ms	(* (* b b) (- 1 (* 3 a)))

simplify7.0s

Counts

53 → 89

Calls

53 calls:

Slowest

817.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
318.0ms	(* (* b b) (- 1 (* 3 a)))
316.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
308.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
279.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
15.6b	(cbrt (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
10.8b	(cbrt (+ (* a a) (* b b)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`cbrt-div`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`unpow-prod-down`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/` `unpow2` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

Slowest

26.0ms	(cbrt (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (+ (* a a) (* b b)))
6.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series518.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

150.0ms	(cbrt (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
141.0ms	(cbrt (+ (* a a) (* b b)))
115.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
112.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify6.1s

Counts

42 → 78

Calls

42 calls:

Slowest

403.0ms	(cbrt (* (cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b)))) (+ (pow (* a a) 3) (pow (* b b) 3))))
383.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b))))
377.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))))
349.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3))))
340.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.7b	(cbrt (pow (+ (* a a) (* b b)) 2))
10.8b	(cbrt (+ (* a a) (* b b)))
10.8b	(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

11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
6.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
134.0ms	(cbrt (+ (* a a) (* b b)))
123.0ms	(cbrt (+ (* a a) (* b b)))
115.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify4.8s

Counts

38 → 74

Calls

38 calls:

Slowest

526.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2)))
323.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
313.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
310.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))
305.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes714.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.8s

20451×

body

valid