Details

sample146.0ms

Algorithm

intervals

Results

122.0ms

661×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -12 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.5b	(* a (* b b))

rewrite143.0ms

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:

22.0ms	(* (* a a) a)
66.0ms	(* -12 (* a (* b b)))
37.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
17.0ms	(* a (* b b))

series205.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* a a) a)
56.0ms	(* -12 (* a (* b b)))
54.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
41.0ms	(* a (* b b))

simplify637.0ms

Counts

119 → 119

Iterations

Iter	Nodes
2	2029
1	478
0	147

prune479.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.5b	(* a (* b b))
8.8b	(sqrt (+ (* a a) (* b b)))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-div`
29×	`flip3-+` `flip-+`
28×	`frac-times`
25×	`pow1`
14×	`add-sqr-sqrt` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
7×	`associate-r`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

131.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
26.0ms	(* a (* b b))
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series206.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
45.0ms	(* a (* b b))
47.0ms	(sqrt (+ (* a a) (* b b)))
54.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.2s

Counts

118 → 118

Iterations

Iter	Nodes
3	7730
2	1681
1	458
0	163

prune755.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -12 (* a (* b b)))
0.5b	(* a (* b b))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite118.0ms

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:

28.0ms	(* (* a a) a)
42.0ms	(* -12 (* a (* b b)))
35.0ms	(* a (* b b))
11.0ms	(sqrt (+ (* a a) (* b b)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a a) a)
52.0ms	(* -12 (* a (* b b)))
39.0ms	(* a (* b b))
42.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
3	4450
2	884
1	287
0	118

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

8.8b	(sqrt (+ (* a a) (* b b)))
9.4b	(cbrt (+ (* a a) (* b b)))
9.4b	(cbrt (+ (* a a) (* b b)))
9.4b	(cbrt (+ (* a a) (* b b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1`
4×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 58

Calls

4 calls:

12.0ms	(sqrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
6.0ms	(cbrt (+ (* a a) (* b b)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ (* a a) (* b b)))
132.0ms	(cbrt (+ (* a a) (* b b)))
173.0ms	(cbrt (+ (* a a) (* b b)))
153.0ms	(cbrt (+ (* a a) (* b b)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
4	2674
3	956
2	339
1	142
0	67

prune598.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	26
1	26
0	18

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.7s

20442×

body

valid