Details

sample51.0ms

Algorithm

intervals

Results

33.0ms

656×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	25	17
2	40	17
3	66	17
4	118	17
5	255	17
6	849	17
7	3688	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

9.0ms	(+ (* a a) (* b b))
92.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
25.0ms	(* 4.0 (* b b))
18.0ms	(pow (+ (* a a) (* b b)) 2.0)

series295.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* a a) (* b b))
80.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
52.0ms	(* 4.0 (* b b))
128.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	117	931
1	311	838
2	943	778
3	2993	778
done	5001	778

prune249.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.3b	(* (pow a 2) (pow b 2))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

29.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
44.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
52.0ms	(* 2 (* (pow a 2) (pow b 2)))
37.0ms	(* (pow a 2) (pow b 2))

series290.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
100.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
63.0ms	(* 2 (* (pow a 2) (pow b 2)))
40.0ms	(* (pow a 2) (pow b 2))

simplify1.3s

Counts

113 → 113

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	146	1649
1	373	1431
2	1239	1245
done	5000	1231

prune348.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
0.0b	(* 4.0 (* b b))
2.3b	(* (pow a 2) (pow b 2))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
17×	`unswap-sqr`
16×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 108

Calls

4 calls:

111.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
32.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
24.0ms	(* 4.0 (* b b))
44.0ms	(* (pow a 2) (pow b 2))

series246.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
50.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
48.0ms	(* 4.0 (* b b))
66.0ms	(* (pow a 2) (pow b 2))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	1554
1	385	1400
2	1327	1118
done	5000	1094

prune452.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* b b)))
0.3b	(* (cbrt 4.0) (* b b))
1.0b	(* (cbrt 4.0) (cbrt 4.0))
2.3b	(* (pow a 2) (pow b 2))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-sqr-sqrt`
37×	`pow1`
28×	`prod-exp`
22×	`unswap-sqr`
21×	`associate-l` `pow-prod-down`
20×	`cbrt-prod` `add-cbrt-cube` `cbrt-unprod`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
14×	`unpow-prod-down`
10×	`unpow2` `sqr-pow`
6×	`pow-to-exp` `pow1/3` `swap-sqr` `pow-exp`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 142

Calls

4 calls:

108.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* b b)))
25.0ms	(* (cbrt 4.0) (* b b))
15.0ms	(* (cbrt 4.0) (cbrt 4.0))
19.0ms	(* (pow a 2) (pow b 2))

series258.0ms

Counts

4 → 10

Calls

4 calls:

141.0ms	(* (* (cbrt 4.0) (cbrt 4.0)) (* (cbrt 4.0) (* b b)))
68.0ms	(* (cbrt 4.0) (* b b))
0.0ms	(* (cbrt 4.0) (cbrt 4.0))
48.0ms	(* (pow a 2) (pow b 2))

simplify2.7s

Counts

152 → 152

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	166	1599
1	351	1414
2	1172	1082
done	5001	969

prune534.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes94.0ms

Accuracy

22% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.9b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	31	78
1	43	60
done	43	60

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

20728×

body

valid