Details

sample18.0ms

Algorithm

intervals

Results

8.0ms	318×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite12.0ms

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-+l+` `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 (+ y z))
6.0ms	(+ (* x (+ y z)) (* z 5.0))

series56.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify116.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune66.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* x y) (* z (+ x 5.0)))

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (+ x 5.0))
29.0ms	(+ (* x y) (* z (+ x 5.0)))

simplify129.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	209	182
1	941	168
2	4786	168
3	5001	168

prune70.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
1.7b	(* z (- (* x x) (* 5.0 5.0)))
6.6b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

7.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms	(* z (- (* x x) (* 5.0 5.0)))
10.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series216.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
65.0ms	(* z (- (* x x) (* 5.0 5.0)))
89.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	397	570
1	1864	498
2	5001	464

prune136.0ms

Filtered

74 candidates to 54 candidates (73.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

4.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
7.0ms	(* z (sqrt (+ x 5.0)))
11.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
57.0ms	(* z (sqrt (+ x 5.0)))
35.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	362	548
1	1700	457
2	5001	444

prune123.0ms

Filtered

75 candidates to 47 candidates (62.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Merged error: 0b

Counts

80 → 5

regimes86.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample494.0ms

Algorithm

intervals

Results

266.0ms	9904×	body	80	valid
12.0ms	100×	body	1280	valid
9.0ms	96×	body	640	valid
5.0ms	70×	body	320	valid
1.0ms	30×	body	160	valid