Details

sample86.0ms

Algorithm

intervals

Results

60.0ms

642×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1428
3	452
2	154
1	51
0	18

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

46.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
25.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
38.0ms	(* (* b b) (+ 3.0 a))

series482.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
76.0ms	(* (* a a) (- 1.0 a))
160.0ms	(pow (+ (* a a) (* b b)) 2.0)
49.0ms	(* (* b b) (+ 3.0 a))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3803
1	558
0	179

prune593.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

43.0ms	(* (* b b) (+ 3.0 a))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series691.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* b b) (+ 3.0 a))
184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
220.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
237.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify994.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1682
1	277
0	105

prune459.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
7.3b	(cbrt (+ (* a a) (* b b)))
7.3b	(cbrt (+ (* a a) (* b b)))
7.3b	(cbrt (+ (* a a) (* b b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

25.0ms	(* (* b b) (+ 3.0 a))
12.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* b b) (+ 3.0 a))
113.0ms	(cbrt (+ (* a a) (* b b)))
106.0ms	(cbrt (+ (* a a) (* b b)))
121.0ms	(cbrt (+ (* a a) (* b b)))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	2178
1	296
0	97

prune424.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2 (* (* a a) (* b b))) (pow a 4))
0.0b	(* 2 (* (* a a) (* b b)))
0.0b	(+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))
2.5b	(* (* a a) (* b b))

rewrite583.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
34×	`add-cbrt-cube` `add-exp-log`
27×	`pow-prod-down`
21×	`prod-exp` `cbrt-unprod`
11×	`add-log-exp`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`sum-log` `pow-plus` `associate-l` `pow-prod-up`
2×	`pow2` `+-commutative` `flip3-+` `associate-r` `pow-sqr` `*-commutative` `flip-+`
1×	`associate-+l+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

64.0ms	(+ (* 2 (* (* a a) (* b b))) (pow a 4))
67.0ms	(* 2 (* (* a a) (* b b)))
425.0ms	(+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))
24.0ms	(* (* a a) (* b b))

series231.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* 2 (* (* a a) (* b b))) (pow a 4))
50.0ms	(* 2 (* (* a a) (* b b)))
57.0ms	(+ (+ (* 2 (* (* a a) (* b b))) (pow a 4)) (pow b 4))
37.0ms	(* (* a a) (* b b))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2981
1	396
0	116

prune338.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.4s

20748×

body

valid