Details

sample78.0ms

Algorithm

intervals

Results

55.0ms

650×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(+ (* a a) (* b b))
0.0b	(* 4.0 (* b b))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite164.0ms

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:

107.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
14.0ms	(+ (* a a) (* b b))
25.0ms	(* 4.0 (* b b))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series334.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
41.0ms	(+ (* a a) (* b b))
39.0ms	(* 4.0 (* b b))
160.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 2 (240.0ms)

Iter	Nodes	Cost
0	117	931
1	311	838
2	943	778
3	2981	778
done	5001	778

prune219.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.2b	(* (pow a 2) (pow b 2))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

50.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
33.0ms	(* 2 (* (pow a 2) (pow b 2)))
39.0ms	(* (pow a 2) (pow b 2))

series222.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
71.0ms	(* 2 (* (pow a 2) (pow b 2)))
59.0ms	(* (pow a 2) (pow b 2))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	132	1357
1	328	1202
2	1066	1010
done	5000	998

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (pow a 4) (pow b 4)) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(+ (pow a 4) (pow b 4))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.2b	(* (pow a 2) (pow b 2))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unpow-prod-down` `unswap-sqr`
13×	`*-un-lft-identity`
12×	`pow-to-exp` `pow-exp`
11×	`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-+` `distribute-lft-out`
1×	`associate-+l+`

Counts

4 → 102

Calls

4 calls:

143.0ms	(+ (+ (pow a 4) (pow b 4)) (* 2 (* (pow a 2) (pow b 2))))
32.0ms	(+ (pow a 4) (pow b 4))
52.0ms	(* 2 (* (pow a 2) (pow b 2)))
26.0ms	(* (pow a 2) (pow b 2))

series260.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (+ (pow a 4) (pow b 4)) (* 2 (* (pow a 2) (pow b 2))))
63.0ms	(+ (pow a 4) (pow b 4))
59.0ms	(* 2 (* (pow a 2) (pow b 2)))
45.0ms	(* (pow a 2) (pow b 2))

simplify1.3s

Counts

114 → 114

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	148	1520
1	368	1328
2	1247	1144
done	5000	1128

prune300.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

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))
2.2b	(* (pow a 2) (pow b 2))

rewrite185.0ms

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:

89.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
40.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
24.0ms	(* 4.0 (* b b))
25.0ms	(* (pow a 2) (pow b 2))

series294.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
67.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
53.0ms	(* 4.0 (* b b))
57.0ms	(* (pow a 2) (pow b 2))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

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

prune773.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	18	19
done	18	19

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.8s

20563×

body

valid