Details

sample69.0ms

Algorithm

intervals

Results

42.0ms

620×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize15.0ms

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)
0.7b	(* (* b b) (+ 3.0 a))

rewrite33.0ms

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×	`unpow-prod-down` `pow-unpow`
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 → 81

Calls

4 calls:

11.0ms	(+ (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))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (+ 3.0 a))

series389.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
74.0ms	(* (* a a) (- 1.0 a))
133.0ms	(pow (+ (* a a) (* b b)) 2.0)
46.0ms	(* (* b b) (+ 3.0 a))

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	506	651
1	2520	583
2	5001	583

prune602.0ms

Filtered

93 candidates to 63 candidates (32.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.6b	(* (pow a 2) (pow b 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
4.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series229.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
69.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
51.0ms	(* 2 (* (pow a 2) (pow b 2)))
42.0ms	(* (pow a 2) (pow b 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	375	744
1	1789	623
2	5001	616

prune505.0ms

Filtered

113 candidates to 60 candidates (46.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	113	5	118

Merged error: 0b

Counts

118 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.0b	(* (* a a) (- 1.0 a))
0.7b	(* (* b b) (+ 3.0 a))
1.6b	(* (pow a 2) (pow b 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-*r/`
30×	`add-sqr-sqrt`
26×	`add-exp-log`
20×	`frac-add`
18×	`unswap-sqr`
17×	`associate-r`
16×	`add-cbrt-cube`
15×	`prod-exp`
14×	`pow1` `unpow-prod-down` `*-un-lft-identity` `flip3-+` `flip-+`
10×	`add-cube-cbrt` `associate-l` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`pow-prod-down` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
5×	`flip3--` `flip--`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`sum-log` `*-commutative`
2×	`sub-neg` `associate-+r+`
1×	`+-commutative` `associate-+l+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

10.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
8.0ms	(* (* a a) (- 1.0 a))
7.0ms	(* (* b b) (+ 3.0 a))
13.0ms	(* (pow a 2) (pow b 2))

series280.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
69.0ms	(* (* a a) (- 1.0 a))
44.0ms	(* (* b b) (+ 3.0 a))
47.0ms	(* (pow a 2) (pow b 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	976	1699
1	5002	1585

prune1.5s

Filtered

141 candidates to 87 candidates (38.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	141	5	146

Merged error: 0b

Counts

146 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))
30.9b	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`cbrt-prod`
11×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`pow-unpow` `cube-prod`
4×	`cube-div` `associate-r` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `pow-pow` `unpow3` `associate-*r/` `pow-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3)
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
10.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3))

series1.3s

Counts

4 → 12

Calls

4 calls:

1.0s	(pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3)
131.0ms	(pow (+ (* a a) (* b b)) 2.0)
44.0ms	(* (* b b) (+ 3.0 a))
135.0ms	(cbrt (pow (+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	517	1412
1	2611	1294
2	5002	1288

prune636.0ms

Filtered

101 candidates to 60 candidates (40.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	101	5	106

Merged error: 0b

Counts

106 → 5

regimes293.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

20249×

body

valid

Details

sample69.0ms

simplify83.0ms

prune4.0ms

localize15.0ms

rewrite33.0ms

series389.0ms

simplify73.0ms

prune602.0ms

localize20.0ms

rewrite29.0ms

series229.0ms

simplify61.0ms

prune505.0ms

localize21.0ms

rewrite43.0ms

series280.0ms

simplify48.0ms

prune1.5s

localize22.0ms

rewrite31.0ms

series1.3s

simplify83.0ms

prune636.0ms

regimes293.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling