Details

sample133.0ms

Algorithm

intervals

Results

94.0ms

627×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	53	31
2	160	31
3	451	31
4	1223	31
5	2469	31
6	4618	31
done	5001	31

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.0b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

135.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
46.0ms	(* (* a a) (+ 1.0 a))
14.0ms	(pow (+ (* a a) (* b b)) 2.0)
64.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
73.0ms	(* (* a a) (+ 1.0 a))
146.0ms	(pow (+ (* a a) (* b b)) 2.0)
71.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: 2 (597.0ms)

Iter	Nodes	Cost
0	212	1719
1	632	1608
2	2694	1456
done	5000	1456

prune415.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1.0 (* 3.0 a)))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

50.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
28.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series660.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
177.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
243.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: 3 (947.0ms)

Iter	Nodes	Cost
0	110	1276
1	256	1259
2	756	1133
3	2738	1124
done	5002	1124

prune361.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite49.0ms

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` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series821.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
197.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
217.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
220.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.5s

Counts

72 → 72

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	57	1204
1	102	1188
2	194	1108
3	454	1096
4	1191	1096
5	3340	1096
done	5000	1096

prune506.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
15×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`sqrt-prod`

Counts

4 → 63

Calls

4 calls:

11.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
25.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series866.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
219.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
186.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
225.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.1s

Counts

75 → 75

Iterations

Useful iterations: 3 (286.0ms)

Iter	Nodes	Cost
0	97	1301
1	172	1272
2	325	1190
3	761	1178
4	2062	1178
done	5000	1178

prune637.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes526.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	27	31
done	27	31

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.5s

20344×

body

valid