Details

analyze138.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4906	31
1	4906	31

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize17.0ms

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

series51.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
5.0ms	(* (* a a) (+ 1.0 a))
24.0ms	(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 (38.0ms)

Iter	Nodes	Cost
0	4997	1432
1	4997	1432

prune190.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

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

localize25.0ms

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))

rewrite22.0ms

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:

7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(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)))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
38.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
35.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4988	1098
1	4988	1098

prune272.0ms

Filtered

61 candidates to 80 candidates (-31.1%)

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

localize30.0ms

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

series140.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms	(cbrt (pow (sqrt (+ (* 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))

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4832	1262
1	4832	1262

prune314.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

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

localize36.0ms

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))

rewrite20.0ms

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))
6.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series129.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (+ (* b b) (* a a)))
38.0ms	(cbrt (pow (* (cbrt (+ (* b b) (* a a))) (cbrt (+ (* b b) (* a a)))) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4990	1132
1	4990	1132

prune244.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

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

regimes515.0ms

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

sample682.0ms

Algorithm

intervals

Results

540.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze138.0ms

sample25.0ms

simplify85.0ms

prune9.0ms

localize17.0ms

rewrite35.0ms

series51.0ms

simplify48.0ms

prune190.0ms

localize25.0ms

rewrite22.0ms

series114.0ms

simplify41.0ms

prune272.0ms

localize30.0ms

rewrite21.0ms

series140.0ms

simplify61.0ms

prune314.0ms

localize36.0ms

rewrite20.0ms

series129.0ms

simplify41.0ms

prune244.0ms

regimes515.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample682.0ms

Profiling