Details

analyze139.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4906	31
1	4906	31

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize20.0ms

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)
0.8b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite35.0ms

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×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `flip3--` `distribute-lft-in` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
8.0ms	(* (* a a) (+ 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
21.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4997	1432
1	4997	1432

prune235.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.1b

Counts

103 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* b b) (- 1.0 (* 3.0 a)))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

10.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series114.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
36.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
36.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4988	1098
1	4988	1098

prune297.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	77	9	86

Merged error: 0.1b

Counts

86 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
8.6b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series137.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
36.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4832	1262
1	4832	1262

prune325.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	77	10	87

Merged error: 0.0b

Counts

87 → 10

localize37.0ms

Local error

Found 4 expressions with local error:

8.6b	(cbrt (+ (* b b) (* a a)))
14.2b	(cbrt (pow (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.8b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (+ (* b b) (* a a)))
4.0ms	(cbrt (pow (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series127.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (+ (* b b) (* a a)))
34.0ms	(cbrt (pow (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
38.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	1132
1	4990	1132

prune259.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	6	6
Picked	1	0	1
Done	1	2	3
Total	66	12	78

Merged error: 0.0b

Counts

78 → 12

regimes481.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	31
1	61	31

end0.0ms

sample681.0ms

Algorithm

intervals

Results

544.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze139.0ms

sample25.0ms

simplify81.0ms

prune6.0ms

localize20.0ms

rewrite35.0ms

series47.0ms

simplify48.0ms

prune235.0ms

localize22.0ms

rewrite26.0ms

series114.0ms

simplify42.0ms

prune297.0ms

localize32.0ms

rewrite21.0ms

series137.0ms

simplify61.0ms

prune325.0ms

localize37.0ms

rewrite18.0ms

series127.0ms

simplify40.0ms

prune259.0ms

regimes481.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample681.0ms

Profiling