Details

sample189.0ms

Algorithm

intervals

Results

156.0ms

695×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
5	4337
4	1523
3	552
2	166
1	54
0	18

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* b b) 12))
0.1b	(* (* 4 a) (+ (- a (* a a)) (* b b)))
0.2b	(* (* b b) 12)
0.4b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

36.0ms	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* b b) 12))
58.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
33.0ms	(* (* b b) 12)
64.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) (* (* b b) 12))
78.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
36.0ms	(* (* b b) 12)
49.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1000.0ms

Counts

105 → 105

Iterations

Iter	Nodes
2	2551
1	615
0	178

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
0.2b	(* (* b b) 12)
8.2b	(sqrt (+ (* a a) (* b b)))
8.2b	(sqrt (+ (* a a) (* b b)))

rewrite188.0ms

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` `associate-r*` `pow-prod-up` `add-cube-cbrt` `sqrt-prod`
8×	`associate-*r/`
6×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `associate-l` `pow3` `*-commutative`
1×	`pow-plus` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

133.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
28.0ms	(* (* b b) 12)
12.0ms	(sqrt (+ (* a a) (* b b)))
12.0ms	(sqrt (+ (* a a) (* b b)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b)))) (sqrt (+ (* a a) (* b b))))
34.0ms	(* (* b b) 12)
46.0ms	(sqrt (+ (* a a) (* b b)))
63.0ms	(sqrt (+ (* a a) (* b b)))

simplify2.9s

Counts

118 → 118

Iterations

Iter	Nodes
3	5581
2	1572
1	467
0	167

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (sqrt (+ (* a a) (* b b))) 4) (* (* b b) 12))
0.1b	(* (* 4 a) (+ (- a (* a a)) (* b b)))
0.2b	(* (* b b) 12)
8.2b	(sqrt (+ (* a a) (* b b)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `sqrt-prod` `flip-+`
2×	`sqrt-div` `associate-l` `associate-r/` `-commutative`
1×	`distribute-rgt-in` `+-commutative` `rem-sqrt-square` `sum-log` `distribute-lft-in` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

84.0ms	(+ (pow (sqrt (+ (* a a) (* b b))) 4) (* (* b b) 12))
53.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
27.0ms	(* (* b b) 12)
12.0ms	(sqrt (+ (* a a) (* b b)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (pow (sqrt (+ (* a a) (* b b))) 4) (* (* b b) 12))
55.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
34.0ms	(* (* b b) 12)
68.0ms	(sqrt (+ (* a a) (* b b)))

simplify5.2s

Counts

83 → 83

Iterations

Iter	Nodes
3	8184
2	1829
1	460
0	156

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 4 a) (+ (- a (* a a)) (* b b)))
0.2b	(* (* b b) 12)
0.2b	(* (* b b) (* b b))
2.1b	(* (* a a) (+ (* 2 (* b b)) (* a a)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

130×	`pow1`
36×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
13×	`pow2`
10×	`associate-r`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
1×	`swap-sqr`

Counts

4 → 131

Calls

4 calls:

60.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
15.0ms	(* (* b b) 12)
43.0ms	(* (* b b) (* b b))
94.0ms	(* (* a a) (+ (* 2 (* b b)) (* a a)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* 4 a) (+ (- a (* a a)) (* b b)))
30.0ms	(* (* b b) 12)
42.0ms	(* (* b b) (* b b))
89.0ms	(* (* a a) (+ (* 2 (* b b)) (* a a)))

simplify867.0ms

Counts

143 → 143

Iterations

Iter	Nodes
2	2333
1	581
0	174

prune2.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes103.0ms

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

4.8s

20466×

body

valid