Details

analyze134.0ms

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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample52.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5054	29

prune7.0ms

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	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

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×	`associate-*r/`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

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

series61.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
5.0ms	(* (* a a) (- 1.0 a))
25.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify34.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5666	1201

prune149.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* b b) (* (* a a) 2)) (pow a 4))
0.0b	(* (* a a) 2)
2.9b	(* (* b b) (* (* a a) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-log-exp`
4×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

12.0ms	(+ (* (* b b) (* (* a a) 2)) (pow a 4))
6.0ms	(* (* a a) 2)
10.0ms	(* (* b b) (* (* a a) 2))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* (* b b) (* (* a a) 2)) (pow a 4))
3.0ms	(* (* a a) 2)
10.0ms	(* (* b b) (* (* a a) 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4965	619
1	4965	619

prune78.0ms

Filtered

34 candidates to 67 candidates (-97.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
0.3b	(pow (+ (* b b) (* a a)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))
28.1b	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`cube-prod`
12×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
7×	`sqr-pow`
6×	`pow-unpow`
5×	`pow-exp`
4×	`associate-r` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `pow-pow` `unpow3` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

6.0ms	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
5.0ms	(pow (+ (* b b) (* a a)) 2.0)
11.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))

series96.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(pow (pow (+ (* b b) (* a a)) 2.0) 3)
22.0ms	(pow (+ (* b b) (* a a)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))
34.0ms	(cbrt (pow (pow (+ (* b b) (* a a)) 2.0) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5081	1470

prune159.0ms

Filtered

65 candidates to 115 candidates (-76.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (- 1.0 a))
0.3b	(* b (* b (* 2.0 (pow a 2.0))))
0.7b	(* (* b b) (+ 3.0 a))
1.2b	(* b (* 2.0 (pow a 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-cbrt-cube`
25×	`prod-exp`
21×	`pow1`
15×	`cbrt-unprod`
12×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`associate-r`
10×	`pow-prod-down`
8×	`add-cube-cbrt` `associate-l`
4×	`associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `pow-exp` `unswap-sqr`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

8.0ms	(* (* a a) (- 1.0 a))
8.0ms	(* b (* b (* 2.0 (pow a 2.0))))
8.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(* b (* 2.0 (pow a 2.0)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* a a) (- 1.0 a))
36.0ms	(* b (* b (* 2.0 (pow a 2.0))))
6.0ms	(* (* b b) (+ 3.0 a))
35.0ms	(* b (* 2.0 (pow a 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5140	888

prune149.0ms

Filtered

60 candidates to 102 candidates (-70.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

regimes230.0ms

Accuracy

0% (0.2b 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	43	29
1	43	29

end0.0ms

sample1.5s

Algorithm

intervals

Results

461.0ms

8000×

body

valid

Details

analyze134.0ms

sample52.0ms

simplify75.0ms

prune7.0ms

localize17.0ms

rewrite32.0ms

series61.0ms

simplify34.0ms

prune149.0ms

localize13.0ms

rewrite29.0ms

series28.0ms

simplify50.0ms

prune78.0ms

localize21.0ms

rewrite32.0ms

series96.0ms

simplify67.0ms

prune159.0ms

localize25.0ms

rewrite34.0ms

series83.0ms

simplify46.0ms

prune149.0ms

regimes230.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

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