Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

464×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))
6.0ms	(+ (* x y) (* z t))

series288.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))
33.0ms	(+ (* x y) (* z t))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune121.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x y) (* z t))
11.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
38.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
103.0ms	(sqrt (+ (* x y) (* z t)))
103.0ms	(sqrt (+ (* x y) (* z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	243	764
1	1002	706
2	5001	686

prune340.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (+ (* x y) (* z t))) (* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t))))))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))
0.8b	(sqrt (+ (* x y) (* z t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
54×	`sqrt-pow1`
45×	`pow1`
30×	`flip3-+` `pow1/2` `pow-prod-up` `flip-+`
28×	`frac-times`
16×	`add-sqr-sqrt`
14×	`associate-*r/` `sqrt-prod`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-*l/`
7×	`pow-prod-down`
6×	`associate-l` `pow-sqr`
4×	`add-log-exp`
3×	`rem-sqrt-square` `prod-exp` `cbrt-unprod`
2×	`sqrt-unprod` `swap-sqr` `unswap-sqr`
1×	`associate-r` `*-commutative`

Counts

4 → 117

Calls

4 calls:

28.0ms	(* (sqrt (+ (* x y) (* z t))) (* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t))))))
3.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))
4.0ms	(sqrt (+ (* x y) (* z t)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (+ (* x y) (* z t))) (* (sqrt (sqrt (+ (* x y) (* z t)))) (sqrt (sqrt (+ (* x y) (* z t))))))
107.0ms	(sqrt (+ (* x y) (* z t)))
104.0ms	(sqrt (+ (* x y) (* z t)))
106.0ms	(sqrt (+ (* x y) (* z t)))

simplify183.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	427	1467
1	1273	1239
2	4518	1230
3	5001	1230

prune378.0ms

Filtered

129 candidates to 81 candidates (62.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0.0b

Counts

132 → 3

regimes382.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

742.0ms

13759×

body

valid

Details

sample47.0ms

simplify9.0ms

prune3.0ms

localize12.0ms

rewrite21.0ms

series288.0ms

simplify35.0ms

prune121.0ms

localize15.0ms

rewrite25.0ms

series277.0ms

simplify42.0ms

prune340.0ms

localize18.0ms

rewrite45.0ms

series357.0ms

simplify183.0ms

prune378.0ms

regimes382.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling