Details

sample166.0ms

Algorithm

intervals

Results

139.0ms

673×

body

valid

simplify234.0ms

Calls

1 calls:

Slowest

234.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 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) (+ 3 a))))

rewrite633.0ms

Algorithm

rewrite-expression-head

Rules

63×	`associate-l`
59×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
29×	`associate-r`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`add-cube-cbrt`
18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
15×	`unswap-sqr`
12×	`swap-sqr`
8×	`+-commutative` `associate-+l+` `associate-+r+` `unpow-prod-down`
7×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
6×	`sub-neg`
4×	`flip3-+` `frac-add` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out--` `unpow2` `sqr-pow`

Calls

4 calls:

Slowest

507.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
58.0ms	(pow (+ (* a a) (* b b)) 2)
39.0ms	(* (* a a) (- 1 a))
26.0ms	(* (* b b) (+ 3 a))

series260.0ms

Calls

4 calls:

Slowest

81.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
71.0ms	(* (* a a) (- 1 a))
59.0ms	(* (* b b) (+ 3 a))
50.0ms	(pow (+ (* a a) (* b b)) 2)

simplify14.0s

Calls

146 calls:

Slowest

805.0ms	(* (* (* 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)))))
618.0ms	(* (* (* (* a a) a) (* (* a a) a)) (* (* (- 1 a) (- 1 a)) (- 1 a)))
550.0ms	(* (* (* (* a a) (* a a)) (* a a)) (* (* (- 1 a) (- 1 a)) (- 1 a)))
384.0ms	(+ (* (* (* a a) (- 1 a)) (* (* a a) (- 1 a))) (- (* (* (* b b) (+ 3 a)) (* (* b b) (+ 3 a))) (* (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
373.0ms	(* (* (* b b) (+ 3 a)) 4)

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (+ (* a a) (* b b)))
8.5b	(cbrt (+ (* a a) (* b b)))
0.9b	(* (* b b) (+ 3 a))
0.5b	(pow (cbrt (+ (* a a) (* b b))) 2)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
30×	`associate-l`
27×	`add-sqr-sqrt`
24×	`cbrt-prod`
16×	`distribute-lft-out`
15×	`add-cube-cbrt`
11×	`unpow-prod-down`
10×	`pow1` `swap-sqr` `add-exp-log`
9×	`add-cbrt-cube`
7×	`associate-r` `unswap-sqr`
4×	`cbrt-div` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `pow-pow` `distribute-lft-in` `associate-*r/`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Calls

4 calls:

Slowest

25.0ms	(* (* b b) (+ 3 a))
24.0ms	(pow (cbrt (+ (* a a) (* b b))) 2)
17.0ms	(cbrt (+ (* a a) (* b b)))
12.0ms	(cbrt (+ (* a a) (* b b)))

series342.0ms

Calls

4 calls:

Slowest

106.0ms	(pow (cbrt (+ (* a a) (* b b))) 2)
105.0ms	(cbrt (+ (* a a) (* b b)))
96.0ms	(cbrt (+ (* a a) (* b b)))
35.0ms	(* (* b b) (+ 3 a))

simplify2.5s

Calls

85 calls:

Slowest

214.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
213.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
171.0ms	(pow (* (cbrt (cbrt (+ (* a a) (* b b)))) (cbrt (cbrt (+ (* a a) (* b b))))) 2)
171.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
169.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (+ (* a a) (* b b)))
8.5b	(cbrt (+ (* a a) (* b b)))
8.5b	(cbrt (+ (* a a) (* b b)))
0.9b	(* (* b b) (+ 3 a))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

26.0ms	(* (* b b) (+ 3 a))
17.0ms	(cbrt (+ (* a a) (* b b)))
12.0ms	(cbrt (+ (* a a) (* b b)))
12.0ms	(cbrt (+ (* a a) (* b b)))

series337.0ms

Calls

4 calls:

Slowest

104.0ms	(cbrt (+ (* a a) (* b b)))
99.0ms	(cbrt (+ (* a a) (* b b)))
99.0ms	(cbrt (+ (* a a) (* b b)))
35.0ms	(* (* b b) (+ 3 a))

simplify2.4s

Calls

79 calls:

Slowest

217.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
216.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
214.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
171.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))
169.0ms	(cbrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (+ (* a a) (* b b)))
8.5b	(cbrt (+ (* a a) (* b b)))
8.0b	(sqrt (+ (* a a) (* b b)))
8.0b	(sqrt (+ (* a a) (* b b)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
20×	`distribute-lft-out`
16×	`cbrt-prod` `associate-l` `sqrt-prod`
10×	`add-sqr-sqrt`
8×	`swap-sqr` `add-cube-cbrt`
6×	`pow1`
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`

Calls

4 calls:

Slowest

23.0ms	(sqrt (+ (* a a) (* b b)))
22.0ms	(sqrt (+ (* a a) (* b b)))
18.0ms	(cbrt (+ (* a a) (* b b)))
12.0ms	(cbrt (+ (* a a) (* b b)))

series276.0ms

Calls

4 calls:

Slowest

100.0ms	(cbrt (+ (* a a) (* b b)))
96.0ms	(cbrt (+ (* a a) (* b b)))
43.0ms	(sqrt (+ (* a a) (* b b)))
37.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.0s

Calls

56 calls:

Slowest

218.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
218.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
215.0ms	(cbrt (+ (pow (* a a) 3) (pow (* b b) 3)))
204.0ms	(sqrt (+ (pow (* a a) 3) (pow (* b b) 3)))
168.0ms	(sqrt (- (* (* a a) (* a a)) (* (* b b) (* b b))))

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes7.7s

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.8s

20682×

body

valid