Details

sample70.0ms

Algorithm

intervals

Results

38.0ms

401×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	24
1	18
0	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

34.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(+ (* x y) (* z t))

series143.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(+ (+ (* x y) (* z t)) (* a b))
55.0ms	(+ (* x y) (* z t))

simplify2.3s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
3	3199
2	831
1	188
0	56

prune229.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+ (* x y) (* z t))
47.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
6.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* x y) (* z t))
47.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
129.0ms	(sqrt (+ (* x y) (* z t)))
108.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	2658
2	718
1	262
0	106

prune662.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
4×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

10.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))
6.0ms	(sqrt (+ (* x y) (* z t)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (+ (* x y) (* z t)))
86.0ms	(sqrt (+ (* x y) (* z t)))
78.0ms	(sqrt (+ (* x y) (* z t)))
80.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	1578
2	408
1	140
0	54

prune554.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
37.1b	(cbrt (* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b))))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`pow1` `associate-*l/`
26×	`cbrt-div`
18×	`associate-*r/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 138

Calls

4 calls:

8.0ms	(+ (* x y) (* z t))
284.0ms	(* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b)))
171.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
151.0ms	(cbrt (* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b))))

series4.8s

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x y) (* z t))
4.1s	(* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b)))
498.0ms	(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
80.0ms	(cbrt (* (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (+ (+ (* x y) (* z t)) (* a b))))

simplify2.4s

Counts

150 → 150

Iterations

Iter	Nodes
done	5002
2	3740
1	761
0	213

prune772.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

586.0ms

11931×

body

valid