Details

sample126.0ms

Algorithm

intervals

Results

67.0ms

631×

body

valid

simplify10.6s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize169.0ms

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) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `insert-posit16`
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` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

180.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
81.0ms	(* (* a a) (+ 1.0 a))
34.0ms	(pow (+ (* a a) (* b b)) 2.0)
85.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series751.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
90.0ms	(* (* a a) (+ 1.0 a))
301.0ms	(pow (+ (* a a) (* b b)) 2.0)
91.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify5.0s

Counts

95 → 95

Iterations

Iter	Nodes
done	5009
2	1955
1	521
0	179

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize327.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1.0 (* 3.0 a)))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite180.0ms

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×	`insert-posit16` `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 → 74

Calls

4 calls:

76.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
35.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
40.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
25.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
472.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
469.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
459.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify7.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
3	3403
2	774
1	267
0	112

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize470.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

43.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
32.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
24.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
43.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series2.0s

Counts

4 → 12

Calls

4 calls:

440.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
518.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
443.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
551.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify5.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
4	2270
3	807
2	325
1	172
0	99

prune1.5s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize458.0ms

Local error

Found 4 expressions with local error:

16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
16.9b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
34.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
40.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.8s

Counts

4 → 12

Calls

4 calls:

476.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
463.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
454.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
391.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify8.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5006
5	4241
4	1297
3	478
2	195
1	101
0	58

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	31
1	31
0	22

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.8s

20836×

body

valid