Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample47.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	196×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	66	15
1	66	15

prune15.0ms

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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

series132.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms	(+ (* x y) (* z t))
18.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify39.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4895	677
1	4895	677

prune66.0ms

Filtered

36 candidates to 47 candidates (-30.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
14.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
50.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
51.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
93.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4947	2087
1	4947	2087

prune154.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0b

Counts

103 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.3b	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.5b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-div`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
51.0ms	(cbrt (sqrt (+ (* x y) (+ (* z t) (* a b)))))
52.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
50.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify26.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4989	1312
1	4989	1312

prune90.0ms

Filtered

62 candidates to 70 candidates (-12.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

4.6b	(* c (* c (* i i)))
5.0b	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
10.0b	(* c (* i i))
36.1b	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `associate-r` `associate--l+` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(* c (* c (* i i)))
14.0ms	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
6.0ms	(* c (* i i))
24.0ms	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

series1.8min

Counts

4 → 12

Calls

4 calls:

6.0ms	(* c (* c (* i i)))
1.8min	(- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i))))
6.0ms	(* c (* i i))
311.0ms	(/ (- (* (+ (* x y) (+ (* z t) (* a b))) (+ (* x y) (+ (* z t) (* a b)))) (* c (* c (* i i)))) (+ (* x y) (+ (* z t) (- (* a b) (* c i)))))

simplify271.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5063	2892

prune84.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes1.3s

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 (1.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

401.0ms	8000×	body	80	valid
300.0ms	5672×	body	80	invalid

Details

analyze1.4s

sample47.0ms

simplify3.0ms

prune15.0ms

localize11.0ms

rewrite19.0ms

series132.0ms

simplify39.0ms

prune66.0ms

localize17.0ms

rewrite32.0ms

series246.0ms

simplify50.0ms

prune154.0ms

localize21.0ms

rewrite24.0ms

series207.0ms

simplify26.0ms

prune90.0ms

localize21.0ms

rewrite54.0ms

series1.8min

simplify271.0ms

prune84.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling