Details

sample71.0ms

Algorithm

intervals

Results

43.0ms

606×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5053
7	3274
6	782
5	232
4	111
3	65
2	40
1	25
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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)

rewrite107.0ms

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))
20.0ms	(* 4.0 (* b b))
59.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
14.0ms	(pow (+ (* a a) (* b b)) 2.0)

series350.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* a a) (* b b))
49.0ms	(* 4.0 (* b b))
113.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
136.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1171
1	366
0	117

prune440.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize101.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
15.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
15.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
15.5b	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

344.0ms	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
51.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
28.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
48.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

series1.0s

Counts

4 → 12

Calls

4 calls:

220.0ms	(* (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))) (cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))))
310.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
253.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))
221.0ms	(cbrt (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b))))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5004
3	2246
2	759
1	288
0	121

prune798.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* 2 (* a a)))
0.0b	(* 2 (* a a))
0.2b	(* (* a a) (* a a))
0.7b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
36×	`pow-prod-up`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
5×	`associate-r` `associate-l`
3×	`*-commutative` `unswap-sqr`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `swap-sqr`

Counts

4 → 116

Calls

4 calls:

7.0ms	(+ (* b b) (* 2 (* a a)))
16.0ms	(* 2 (* a a))
54.0ms	(* (* a a) (* a a))
33.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* b b) (* 2 (* a a)))
47.0ms	(* 2 (* a a))
34.0ms	(* (* a a) (* a a))
79.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify1.7s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1588
1	407
0	119

prune455.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* b b) (* 2 (* a a)))
0.0b	(* 2 (* a a))
0.7b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

3 → 53

Calls

3 calls:

7.0ms	(+ (* b b) (* 2 (* a a)))
14.0ms	(* 2 (* a a))
61.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series205.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* b b) (* 2 (* a a)))
32.0ms	(* 2 (* a a))
107.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify2.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5002
2	1481
1	304
0	89

prune397.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes633.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

20397×

body

valid