Details

sample137.0ms

Algorithm

intervals

Results

112.0ms

630×

body

valid

simplify203.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

203.0ms

(- (+ (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: 0.2b

localize65.0ms

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))

rewrite84.0ms

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

43.0ms	(* (* a a) (+ 1 a))
22.0ms	(* (* b b) (- 1 (* 3 a)))
8.0ms	(- 1 (* 3 a))
8.0ms	(pow (+ (* a a) (* b b)) 2)

series277.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(* (* a a) (+ 1 a))
83.0ms	(* (* b b) (- 1 (* 3 a)))
64.0ms	(- 1 (* 3 a))
44.0ms	(pow (+ (* a a) (* b b)) 2)

simplify6.8s

Counts

53 → 95

Calls

53 calls:

Slowest

1.0s	(* (* (* (* a a) (* a a)) (* a a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
906.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (+ 1 a) (+ 1 a)) (+ 1 a)))
822.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
292.0ms	(pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2)
289.0ms	(* (* b b) (- 1 (* 3 a)))

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize106.0ms

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)))

rewrite58.0ms

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

38.0ms	(* (* b b) (- 1 (* 3 a)))
6.0ms	(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))

series526.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

162.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
67.0ms	(* (* b b) (- 1 (* 3 a)))

simplify7.1s

Counts

53 → 89

Calls

53 calls:

Slowest

788.0ms	(* (* (* (* b b) b) (* (* b b) b)) (* (* (- 1 (* 3 a)) (- 1 (* 3 a))) (- 1 (* 3 a))))
321.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
303.0ms	(* (* b b) (- 1 (* 3 a)))
300.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
296.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

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)))

rewrite35.0ms

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

13.0ms	(cbrt (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
8.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series631.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

199.0ms	(cbrt (* (cbrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
123.0ms	(cbrt (+ (* a a) (* b b)))

simplify6.0s

Counts

42 → 78

Calls

42 calls:

Slowest

607.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (* a a) (* b b))))
383.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (+ (pow (* a a) 3) (pow (* b b) 3))))
361.0ms	(cbrt (* (cbrt (+ (pow (* a a) 3) (pow (* b b) 3))) (- (* (* a a) (* a a)) (* (* b b) (* b b)))))
338.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
314.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

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)))

rewrite21.0ms

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

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

series498.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
127.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
115.0ms	(cbrt (+ (* a a) (* b b)))
115.0ms	(cbrt (+ (* a a) (* b b)))

simplify3.4s

Counts

38 → 74

Calls

38 calls:

Slowest

300.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
260.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
257.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
250.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2 2)))
220.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2))

prune879.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes452.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.7s

20451×

body

valid