Details

sample62.0ms

Algorithm

intervals

Results

38.0ms

664×

body

valid

simplify61.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13
done	5002	13

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `fma-def` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
33.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* a a) (* b b))
57.0ms	(* (* a a) (+ 1.0 a))
130.0ms	(pow (+ (* a a) (* b b)) 2.0)
58.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify78.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	510	578
1	2650	510
2	5002	501
done	5002	501

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

76.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series774.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
198.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
195.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify111.0ms

Counts

129 → 129

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	217	1556
1	702	1473
2	3308	1390
3	5001	1383
done	5001	1383

prune596.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.7b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series778.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
201.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
188.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
193.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify56.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660
done	5001	660

prune541.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

8.7b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.7b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series776.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
187.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify56.0ms

Counts

80 → 80

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	163	728
1	392	678
2	1340	660
3	5001	660
done	5001	660

prune567.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes230.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	52
1	43	52
done	43	52

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

20781×

body

valid