Details

sample73.0ms

Algorithm

intervals

Results

48.0ms

689×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4909	29
1	4909	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

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (+ 3.0 a))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

16.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
9.0ms	(* (* b b) (+ 3.0 a))

series49.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
6.0ms	(* (* a a) (- 1.0 a))
24.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5027	1328

prune190.0ms

Filtered

74 candidates to 106 candidates (-43.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	101	5	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	5	107

Merged error: 0.1b

Counts

107 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
1.1b	(* (* b b) (+ 3.0 a))
7.8b	(sqrt (+ (* b b) (* a a)))
7.8b	(sqrt (+ (* b b) (* a a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`unpow-prod-down`
28×	`sqrt-prod`
21×	`add-exp-log` `*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`unswap-sqr`
14×	`associate-r`
12×	`swap-sqr` `prod-exp` `sqr-pow`
11×	`pow1` `associate-l` `add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`sqrt-div` `pow-prod-down` `cbrt-unprod` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-sqr` `pow-prod-up` `distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

15.0ms	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
9.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(sqrt (+ (* b b) (* a a)))
4.0ms	(sqrt (+ (* b b) (* a a)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (pow (sqrt (+ (* b b) (* a a))) 2.0) (pow (sqrt (+ (* b b) (* a a))) 2.0))
6.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(sqrt (+ (* b b) (* a a)))
6.0ms	(sqrt (+ (* b b) (* a a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5033	2035

prune198.0ms

Filtered

80 candidates to 136 candidates (-70.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	4	0	4
Picked	0	1	1
Done	0	0	0
Total	139	2	141

Merged error: 0b

Counts

141 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
1.1b	(* (* b b) (+ 3.0 a))
7.8b	(sqrt (+ (* b b) (* a a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
13×	`*-un-lft-identity`
12×	`associate-r`
9×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`flip3-+` `associate-l` `flip-+`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add` `add-log-exp`
3×	`flip3--` `sqrt-prod` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg` `sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(* (* a a) (- 1.0 a))
9.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(sqrt (+ (* b b) (* a a)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
6.0ms	(* (* a a) (- 1.0 a))
6.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(sqrt (+ (* b b) (* a a)))

simplify37.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4971	1251
1	4971	1251

prune167.0ms

Filtered

72 candidates to 104 candidates (-44.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Merged error: 0b

Counts

106 → 2

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	32
1	27	32

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

20932×

body

valid

Details

sample73.0ms

simplify59.0ms

prune7.0ms

localize16.0ms

rewrite42.0ms

series49.0ms

simplify37.0ms

prune190.0ms

localize21.0ms

rewrite37.0ms

series59.0ms

simplify59.0ms

prune198.0ms

localize19.0ms

rewrite41.0ms

series32.0ms

simplify37.0ms

prune167.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling