Details

sample129.0ms

Algorithm

intervals

Results

88.0ms

642×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

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))

rewrite132.0ms

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:

53.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
38.0ms	(* (* a a) (- 1.0 a))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

series461.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
89.0ms	(* (* a a) (- 1.0 a))
145.0ms	(pow (+ (* a a) (* b b)) 2.0)
57.0ms	(* (* b b) (+ 3.0 a))

simplify3.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3803
1	558
0	179

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize91.0ms

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))

rewrite70.0ms

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:

42.0ms	(* (* b b) (+ 3.0 a))
11.0ms	(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))

series657.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* b b) (+ 3.0 a))
192.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
198.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
227.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.7s

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1682
1	277
0	105

prune663.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize111.0ms

Local error

Found 4 expressions with local error:

13.6b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
13.6b	(sqrt (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))

rewrite55.0ms

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:

25.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series823.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
198.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
230.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
201.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.2s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
4	3600
3	900
2	309
1	141
0	79

prune889.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize143.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`sqr-pow`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 55

Calls

4 calls:

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))
146.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

series936.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
246.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
231.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
246.0ms	(cbrt (* (* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0))) (cbrt (pow (+ (* a a) (* b b)) 2.0))))

simplify1.8s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
4	2714
3	655
2	228
1	112
0	65

prune761.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes549.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	37
1	37
0	27

end0.0ms

sample3.9s

Algorithm

intervals

Results

3.2s

20748×

body

valid