Details

sample119.0ms

Algorithm

intervals

Results

83.0ms

627×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	29
1	51	29
2	154	29
3	410	29
4	1047	29
5	1929	29
6	3970	29
done	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
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` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

145.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
39.0ms	(* (* a a) (- 1.0 a))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)
61.0ms	(* (* b b) (+ 3.0 a))

series347.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
71.0ms	(* (* a a) (- 1.0 a))
137.0ms	(pow (+ (* a a) (* b b)) 2.0)
45.0ms	(* (* b b) (+ 3.0 a))

simplify1.9s

Counts

106 → 106

Iterations

Useful iterations: 2 (589.0ms)

Iter	Nodes	Cost
0	215	1577
1	617	1468
2	2511	1334
done	5002	1334

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 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))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

41.0ms	(* (* b b) (+ 3.0 a))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series650.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* b b) (+ 3.0 a))
199.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
192.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
223.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.9s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	105	1185
1	251	1154
2	813	1052
3	3062	1043
done	5001	1043

prune512.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

11.7b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.7b	(sqrt (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))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

22.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
32.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series837.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
204.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
202.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
231.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.4s

Counts

80 → 80

Iterations

Useful iterations: 3 (194.0ms)

Iter	Nodes	Cost
0	79	1190
1	140	1128
2	266	1072
3	592	1066
4	1557	1066
5	4392	1066
done	5000	1066

prune512.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

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))

rewrite48.0ms

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:

11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series760.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
204.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
194.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
183.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (136.0ms)

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

prune465.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes289.0ms

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	18	29
1	25	29
done	25	29

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.7s

20344×

body

valid