Details

sample185.0ms

Algorithm

intervals

Results

151.0ms

729×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
5	5568
4	1638
3	539
2	179
1	54
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -12 (* a (* b b)))
0.3b	(* a (* b b))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up`
6×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `unswap-sqr`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 107

Calls

4 calls:

15.0ms	(* (* a a) a)
52.0ms	(* -12 (* a (* b b)))
30.0ms	(* a (* b b))
35.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* a a) a)
51.0ms	(* -12 (* a (* b b)))
40.0ms	(* a (* b b))
48.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify727.0ms

Counts

119 → 119

Iterations

Iter	Nodes
2	2064
1	485
0	147

prune944.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.3b	(* a (* b b))
9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `unswap-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`pow3`

Counts

4 → 86

Calls

4 calls:

71.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
15.0ms	(* a (* b b))
7.0ms	(sqrt (+ (* a a) (* b b)))
15.0ms	(sqrt (+ (* a a) (* b b)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
53.0ms	(* a (* b b))
73.0ms	(sqrt (+ (* a a) (* b b)))
62.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.6s

Counts

98 → 98

Iterations

Iter	Nodes
3	4989
2	1038
1	280
0	114

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
0.3b	(* a (* b b))
9.8b	(sqrt (+ (* a a) (* b b)))
9.8b	(sqrt (+ (* a a) (* b b)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-l`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `pow-plus` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 111

Calls

4 calls:

71.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
14.0ms	(* a (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))
19.0ms	(sqrt (+ (* a a) (* b b)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
44.0ms	(* a (* b b))
65.0ms	(sqrt (+ (* a a) (* b b)))
70.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.8s

Counts

123 → 123

Iterations

Iter	Nodes
3	5734
2	1370
1	357
0	133

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -12 (* a (* b b)))
0.3b	(* a (* b b))
9.8b	(sqrt (+ (* a a) (* b b)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `sqrt-div` `pow-sqr` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow3` `flip-+`

Counts

4 → 87

Calls

4 calls:

31.0ms	(* (* a a) a)
35.0ms	(* -12 (* a (* b b)))
27.0ms	(* a (* b b))
18.0ms	(sqrt (+ (* a a) (* b b)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* a a) a)
46.0ms	(* -12 (* a (* b b)))
55.0ms	(* a (* b b))
72.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
3	4450
2	884
1	287
0	118

prune895.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	26
1	26
0	18

end0.0ms

sample5.9s

Algorithm

intervals

Results

5.5s

20501×

body

valid