Details

sample153.0ms

Algorithm

intervals

Results

131.0ms

654×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

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:

28.0ms	(* a (* b b))
70.0ms	(* -12 (* a (* b b)))
30.0ms	(* (* a a) a)
74.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* a (* b b))
50.0ms	(* -12 (* a (* b b)))
49.0ms	(* (* a a) a)
61.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify724.0ms

Counts

119 → 119

Iterations

Iter	Nodes
2	2136
1	483
0	147

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

79.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
61.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
11.0ms	(sqrt (+ (* a a) (* b b)))
19.0ms	(sqrt (+ (* a a) (* b b)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
105.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
44.0ms	(sqrt (+ (* a a) (* b b)))
57.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.2s

Counts

132 → 132

Iterations

Iter	Nodes
3	6927
2	1794
1	426
0	157

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (* b b))
0.1b	(* -12 (* a (* b b)))
0.1b	(* (* a a) a)
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite112.0ms

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:

14.0ms	(* a (* b b))
64.0ms	(* -12 (* a (* b b)))
26.0ms	(* (* a a) a)
6.0ms	(sqrt (+ (* a a) (* b b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (* b b))
51.0ms	(* -12 (* a (* b b)))
66.0ms	(* (* a a) a)
49.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.8s

Counts

99 → 99

Iterations

Iter	Nodes
3	4817
2	962
1	288
0	118

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`pow1`
25×	`sqrt-prod`
19×	`associate-l`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`associate-r`
8×	`flip3-+` `flip-+`
7×	`pow-plus` `pow-prod-up`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `pow-sqr` `*-commutative`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow3` `pow-exp`

Counts

4 → 120

Calls

4 calls:

31.0ms	(* (* a a) a)
49.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
20.0ms	(sqrt (+ (* a a) (* b b)))
13.0ms	(sqrt (+ (* a a) (* b b)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* a a) a)
63.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
61.0ms	(sqrt (+ (* a a) (* b b)))
63.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.9s

Counts

132 → 132

Iterations

Iter	Nodes
3	4465
2	1191
1	348
0	134

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	26
1	26
0	18

end0.0ms

sample5.2s

Algorithm

intervals

Results

4.8s

20707×

body

valid