Details

sample95.0ms

Algorithm

intervals

Results

63.0ms

655×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

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)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.8b	(* (* b b) (+ 3.0 a))

rewrite607.0ms

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:

85.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
463.0ms	(* (* a a) (- 1.0 a))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)
47.0ms	(* (* b b) (+ 3.0 a))

series412.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
71.0ms	(* (* a a) (- 1.0 a))
143.0ms	(pow (+ (* a a) (* b b)) 2.0)
53.0ms	(* (* b b) (+ 3.0 a))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3803
1	558
0	179

prune365.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (* a a) (* b b)))
1.9b	(* (* a a) (* b b))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
27×	`pow-prod-down`
21×	`prod-exp` `cbrt-unprod`
4×	`pow-plus` `associate-l` `pow-prod-up`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`pow2` `associate-r` `pow-sqr` `*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 56

Calls

2 calls:

69.0ms	(* 2 (* (* a a) (* b b)))
32.0ms	(* (* a a) (* b b))

series86.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* 2 (* (* a a) (* b b)))
38.0ms	(* (* a a) (* b b))

simplify971.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1717
1	231
0	68

prune179.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* a a) (* b b)) 2.0)
0.1b	(* (* a a) (- 1.0 a))
0.8b	(* (* b b) (+ 3.0 a))
1.9b	(* (* a a) (* b b))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
44×	`add-cbrt-cube` `add-exp-log`
33×	`pow-prod-down`
27×	`prod-exp` `cbrt-unprod`
13×	`associate-r`
11×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow-plus` `associate-l` `associate-r/` `-commutative` `pow-prod-up` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
2×	`pow2` `sub-neg` `pow-sqr`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

119.0ms	(* (* (* a a) (* b b)) 2.0)
47.0ms	(* (* a a) (- 1.0 a))
30.0ms	(* (* b b) (+ 3.0 a))
24.0ms	(* (* a a) (* b b))

series176.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (* a a) (* b b)) 2.0)
60.0ms	(* (* a a) (- 1.0 a))
36.0ms	(* (* b b) (+ 3.0 a))
40.0ms	(* (* a a) (* b b))

simplify2.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	4363
1	508
0	153

prune398.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (/ -1 a) -4.0)
0.8b	(* (* b b) (+ 3.0 a))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

32.0ms	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
27.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (/ -1 a) -4.0)
31.0ms	(* (* b b) (+ 3.0 a))

series394.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ (pow (/ -1 a) -4.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
63.0ms	(* (* a a) (- 1.0 a))
197.0ms	(pow (/ -1 a) -4.0)
36.0ms	(* (* b b) (+ 3.0 a))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	4060
1	697
0	217

prune378.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes238.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.1s

20671×

body

valid