Details

sample90.0ms

Algorithm

intervals

Results

62.0ms

619×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3532
4	1319
3	449
2	159
1	53
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

130.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
38.0ms	(* (* a a) (+ 1.0 a))
12.0ms	(pow (+ (* a a) (* b b)) 2.0)
31.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
69.0ms	(* (* a a) (+ 1.0 a))
131.0ms	(pow (+ (* a a) (* b b)) 2.0)
81.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	3050
1	678
0	211

prune682.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize104.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
10.8b	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/`
18×	`cbrt-div`
12×	`frac-add`
9×	`pow1` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
7×	`flip3--` `flip--`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

43.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
27.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
26.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
37.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

series878.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
253.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
243.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
308.0ms	(cbrt (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))

simplify2.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5015
2	2461
1	588
0	176

prune931.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (- 1.0 (* 3.0 a)))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series679.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
196.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
181.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
215.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5006
3	3790
2	797
1	271
0	110

prune616.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize123.0ms

Local error

Found 4 expressions with local error:

11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
11.8b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.8b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

12.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
21.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series867.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
186.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
234.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
233.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
4	1690
3	624
2	265
1	138
0	79

prune735.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.8s

20448×

body

valid