Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

sample35.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	125×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune13.0ms

Filtered

1 candidates to 1 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 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
4.9b	(* (* a z) b)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(* (* a z) b)

series44.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
14.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* (* a z) b)

simplify20.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5076	590

prune74.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ (+ x (* y z)) (* t a))
4.1b	(* a (* z b))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-r` `*-commutative`

Counts

3 → 45

Calls

3 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
5.0ms	(+ (+ x (* y z)) (* t a))
4.0ms	(* a (* z b))

series44.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
14.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* a (* z b))

simplify33.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5025	589

prune58.0ms

Filtered

36 candidates to 54 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ (* z y) (* a t))))
0.5b	(cbrt (+ x (+ (* z y) (* a t))))
0.5b	(* (cbrt (+ x (+ (* z y) (* a t)))) (cbrt (+ x (+ (* z y) (* a t)))))
4.9b	(* (* a z) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
32×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`pow1` `cbrt-div`
15×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`associate-r`
9×	`swap-sqr` `add-cbrt-cube`
8×	`flip3-+` `pow1/3` `associate-l` `flip-+` `distribute-lft-out`
5×	`pow-prod-down`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 99

Calls

4 calls:

4.0ms	(cbrt (+ x (+ (* z y) (* a t))))
4.0ms	(cbrt (+ x (+ (* z y) (* a t))))
13.0ms	(* (cbrt (+ x (+ (* z y) (* a t)))) (cbrt (+ x (+ (* z y) (* a t)))))
4.0ms	(* (* a z) b)

series188.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (+ x (+ (* z y) (* a t))))
56.0ms	(cbrt (+ x (+ (* z y) (* a t))))
73.0ms	(* (cbrt (+ x (+ (* z y) (* a t)))) (cbrt (+ x (+ (* z y) (* a t)))))
6.0ms	(* (* a z) b)

simplify37.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5177	1820

prune111.0ms

Filtered

76 candidates to 111 candidates (-46.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	111	4	115

Merged error: 0.0b

Counts

115 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ x (+ (* z y) (* a t))))
0.1b	(sqrt (+ x (+ (* z y) (* a t))))
0.3b	(* (sqrt (+ x (+ (* z y) (* a t)))) (sqrt (+ x (+ (* z y) (* a t)))))
4.9b	(* (* a z) b)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod`
33×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`pow1`
16×	`sqrt-div`
15×	`add-cube-cbrt`
11×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2` `associate-r`
8×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
6×	`pow-prod-down`
5×	`pow-prod-up`
4×	`frac-times` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/` `*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 112

Calls

4 calls:

6.0ms	(sqrt (+ x (+ (* z y) (* a t))))
7.0ms	(sqrt (+ x (+ (* z y) (* a t))))
13.0ms	(* (sqrt (+ x (+ (* z y) (* a t)))) (sqrt (+ x (+ (* z y) (* a t)))))
4.0ms	(* (* a z) b)

series98.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ x (+ (* z y) (* a t))))
41.0ms	(sqrt (+ x (+ (* z y) (* a t))))
14.0ms	(* (sqrt (+ x (+ (* z y) (* a t)))) (sqrt (+ x (+ (* z y) (* a t)))))
6.0ms	(* (* a z) b)

simplify35.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4984	1624
1	4984	1624

prune88.0ms

Filtered

70 candidates to 124 candidates (-77.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	5	128

Merged error: 0.0b

Counts

128 → 5

regimes486.0ms

Accuracy

63.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch39.0ms

Steps

Iters	Range		Point
6	1.0255447281935447e+154	5.0372016316430064e+154	2.555468592351579e+154
5	-1.41766076789175e+120	-6.513140430497829e+119	-7.941269264159026e+119

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	62
1	43	62

end0.0ms

sample955.0ms

Algorithm

intervals

Results

373.0ms	8000×	body	80	valid
176.0ms	3817×	body	80	invalid

Details

analyze1.6s

sample35.0ms

simplify4.0ms

prune13.0ms

localize11.0ms

rewrite22.0ms

series44.0ms

simplify20.0ms

prune74.0ms

localize11.0ms

rewrite18.0ms

series44.0ms

simplify33.0ms

prune58.0ms

localize17.0ms

rewrite29.0ms

series188.0ms

simplify37.0ms

prune111.0ms

localize15.0ms

rewrite35.0ms

series98.0ms

simplify35.0ms

prune88.0ms

regimes486.0ms

bsearch39.0ms

simplify2.0ms

end0.0ms

sample955.0ms

Profiling