Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

622×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	25	17
2	39	17
3	63	17
4	109	17
5	246	17
6	931	17
7	4543	17
done	5000	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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:

24.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
7.0ms	(* 4.0 (* b b))
3.0ms	(+ (* a a) (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series224.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
25.0ms	(* 4.0 (* b b))
30.0ms	(+ (* a a) (* b b))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	117	931
1	318	838
2	1109	778
3	4827	778
done	5000	778

prune159.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))
2.8b	(* (pow a 2) (pow b 2))

rewrite41.0ms

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:

18.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
10.0ms	(* 2 (* (pow a 2) (pow b 2)))
9.0ms	(* (pow a 2) (pow b 2))

series125.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
37.0ms	(* 2 (* (pow a 2) (pow b 2)))
35.0ms	(* (pow a 2) (pow b 2))

simplify694.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	132	1357
1	330	1202
2	1375	1010
done	5000	1010

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.3b	(pow (+ (* a a) (* b b)) (* 2 2.0))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
36.2b	(/ (- (pow (+ (* a a) (* b b)) (* 2 2.0)) (* (* 4.0 4.0) (pow b 4))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log`
6×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-log-exp`
4×	`pow-unpow`
3×	`flip3--` `associate-/r` `flip--` `associate-/l`
2×	`pow-to-exp` `pow-pow` `pow-exp` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 76

Calls

4 calls:

33.0ms	(- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
4.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
94.0ms	(/ (- (pow (+ (* a a) (* b b)) (* 2 2.0)) (* (* 4.0 4.0) (pow b 4))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
102.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
212.0ms	(/ (- (pow (+ (* a a) (* b b)) (* 2 2.0)) (* (* 4.0 4.0) (pow b 4))) (- (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify619.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	163	2681
1	408	2575
2	1667	2371
done	5000	2371

prune300.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

745.0ms

20276×

body

valid