Details

sample90.0ms

Algorithm

intervals

Results

56.0ms

659×

body

valid

simplify3.2s

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	120	17
5	427	17
6	3678	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

12.0ms	(+ (* a a) (* b b))
22.0ms	(* 4.0 (* b b))
78.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)

series322.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a a) (* b b))
41.0ms	(* 4.0 (* b b))
82.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
149.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: 2 (345.0ms)

Iter	Nodes	Cost
0	117	931
1	380	856
2	2065	778
done	5001	778

prune339.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.0b	(* (pow a 2) (pow b 2))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
23×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`unpow2` `sqr-pow`
9×	`add-cbrt-cube` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`

Counts

2 → 76

Calls

2 calls:

25.0ms	(* 2 (* (pow a 2) (pow b 2)))
23.0ms	(* (pow a 2) (pow b 2))

series121.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* 2 (* (pow a 2) (pow b 2)))
58.0ms	(* (pow a 2) (pow b 2))

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	100	937
1	240	823
2	1498	649
done	5000	641

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 4.0 4.0) (pow b 4))
0.3b	(pow (+ (* a a) (* b b)) (* 2 2.0))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
34.2b	(/ (- (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))))

rewrite702.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube`
10×	`unpow-prod-down`
9×	`times-frac` `prod-exp`
7×	`associate-r`
6×	`pow1`
4×	`pow-to-exp` `pow-unpow` `pow-exp` `add-log-exp` `sqr-pow`
3×	`associate-/r` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`pow-pow` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `associate-l` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

18.0ms	(* (* 4.0 4.0) (pow b 4))
12.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)
651.0ms	(/ (- (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))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* 4.0 4.0) (pow b 4))
145.0ms	(pow (+ (* a a) (* b b)) (* 2 2.0))
130.0ms	(pow (+ (* a a) (* b b)) 2.0)
353.0ms	(/ (- (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))))

simplify1.9s

Counts

103 → 103

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	201	2629
1	561	2517
2	3495	2323
done	5002	2318

prune497.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	15	17
done	15	17

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.9s

20551×

body

valid