Details

sample161.0ms

Algorithm

intervals

Results

137.0ms

682×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	2058
3	646
2	181
1	54
0	18

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
0.1b	(* (* a a) (- 1 a))
0.4b	(pow (+ (* a a) (* b b)) 2)
1.1b	(* (* b b) (+ 3 a))

rewrite180.0ms

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:

108.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
29.0ms	(* (* a a) (- 1 a))
16.0ms	(pow (+ (* a a) (* b b)) 2)
23.0ms	(* (* b b) (+ 3 a))

series280.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
70.0ms	(* (* a a) (- 1 a))
71.0ms	(pow (+ (* a a) (* b b)) 2)
56.0ms	(* (* b b) (+ 3 a))

simplify1.8s

Counts

138 → 138

Iterations

Iter	Nodes
2	3138
1	828
0	269

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (+ 3 a))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite77.0ms

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:

48.0ms	(* (* b b) (+ 3 a))
13.0ms	(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))

series532.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* b b) (+ 3 a))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
189.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
3	3323
2	891
1	272
0	103

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize77.0ms

Local error

Found 4 expressions with local error:

19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(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:

7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series672.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
171.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
5	3846
4	1112
3	452
2	196
1	100
0	54

prune1.7s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))
19.6b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite58.0ms

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:

14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series642.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
164.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
5	3846
4	1112
3	452
2	196
1	100
0	54

prune2.0s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 0.0b

regimes658.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	25
1	25
0	18

end0.0ms

sample5.7s

Algorithm

intervals

Results

5.3s

20643×

body

valid