Details

sample126.0ms

Algorithm

intervals

Results

99.0ms

690×

body

valid

simplify817.0ms

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* 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))))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff` `associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u` `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 → 126

Calls

4 calls:

Slowest

97.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
35.0ms	(* (* b b) (+ 3 a))
29.0ms	(* (* a a) (- 1 a))
11.0ms	(pow (+ (* a a) (* b b)) 2)

series230.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

67.0ms	(* (* a a) (- 1 a))
62.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
52.0ms	(* (* b b) (+ 3 a))
49.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.2s

Counts: 138 → 138

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
0.4b	(* (* b b) (+ 3 a))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

44.0ms	(* (* b b) (+ 3 a))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series484.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
116.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
57.0ms	(* (* b b) (+ 3 a))

simplify1.3s

Counts: 96 → 96

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize116.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
10.6b	(cbrt (+ (* a a) (* b b)))
10.6b	(cbrt (+ (* a a) (* b b)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

Slowest

15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(cbrt (+ (* a a) (* b b)))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
146.0ms	(cbrt (+ (* a a) (* b b)))
122.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.2s

Counts: 82 → 82

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize516.0ms

Local error

Found 4 expressions with local error:

18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.4b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

Slowest

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

series558.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

144.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
141.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
137.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.1s

Counts: 88 → 88

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

regimes589.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample5.0s

Algorithm

intervals

Results

4.6s

20263×

body

valid