Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

425×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ 2.0 x))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* x (+ 2.0 x))
6.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify31.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5001	169

prune48.0ms

Filtered

42 candidates to 27 candidates (35.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* y y) (* x (+ 2.0 x))))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.1b	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `associate-+r+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))
10.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series33.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (+ (* y y) (* x (+ 2.0 x))))
6.0ms	(+ (* y y) (* x (+ 2.0 x)))
6.0ms	(+ (* y y) (* x (+ 2.0 x)))
6.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	252	898
1	1090	810
2	5001	783

prune120.0ms

Filtered

110 candidates to 61 candidates (44.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Merged error: 0b

Counts

114 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 2.0 x))
0.0b	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
0.3b	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))
0.3b	(* x (sqrt (+ 2.0 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(sqrt (+ 2.0 x))
3.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
11.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))
7.0ms	(* x (sqrt (+ 2.0 x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 2.0 x))
6.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
4.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))
6.0ms	(* x (sqrt (+ 2.0 x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	439	657
1	1937	564
2	5001	554

prune123.0ms

Filtered

94 candidates to 62 candidates (34.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
25.6b	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`add-cube-cbrt`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-log-exp`
6×	`distribute-lft-out`
5×	`associate-r`
4×	`frac-times` `associate-+l+` `distribute-neg-in` `associate-l` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`neg-sub0` `associate-+l-` `pow-plus` `associate-l/` `sum-log` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `neg-log` `clear-num` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

5.0ms	(* x (+ 2.0 x))
11.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
11.0ms	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
12.0ms	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series35.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ 2.0 x))
3.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
12.0ms	(+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
16.0ms	(/ (+ (neg (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify85.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	525	1318
1	2965	1157
2	5001	1141

prune164.0ms

Filtered

135 candidates to 80 candidates (40.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	135	4	139

Merged error: 0b

Counts

139 → 4

regimes108.0ms

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	10	4
1	10	4

end0.0ms

sample779.0ms

Algorithm

intervals

Results

426.0ms

14272×

body

valid

Details

sample29.0ms

simplify6.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series11.0ms

simplify31.0ms

prune48.0ms

localize8.0ms

rewrite24.0ms

series33.0ms

simplify42.0ms

prune120.0ms

localize8.0ms

rewrite28.0ms

series20.0ms

simplify50.0ms

prune123.0ms

localize11.0ms

rewrite43.0ms

series35.0ms

simplify85.0ms

prune164.0ms

regimes108.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample779.0ms

Profiling