Details

analyze1.5s

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

sample50.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	185×	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

prune17.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

9.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series139.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
21.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify39.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4983	536
1	4983	536

prune60.0ms

Filtered

25 candidates to 33 candidates (-32.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))

rewrite35.0ms

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:

15.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (+ (* x y) (+ (* z t) (* a b)))) (cbrt (+ (* x y) (+ (* z t) (* a b)))))
56.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
57.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
57.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4947	2087
1	4947	2087

prune144.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0b

Counts

103 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (* x y) (+ (* z t) (* a b)))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
0.7b	(cbrt (+ (* x y) (+ (* z t) (* a b))))
1.2b	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

6.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (* a b)))))
6.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
9.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

series346.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(cbrt (cbrt (+ (* x y) (+ (* z t) (* a b)))))
55.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
57.0ms	(cbrt (+ (* x y) (+ (* z t) (* a b))))
176.0ms	(pow (cbrt (cbrt (+ (* x y) (+ (* z t) (* a b))))) 6)

simplify52.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	1327
1	4988	1327

prune128.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0b

Counts

82 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z t) (* a b))
0.1b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.1b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.3b	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

rewrite35.0ms

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	(+ (* z t) (* a b))
8.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
5.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
15.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* z t) (* a b))
135.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
134.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
21.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

simplify26.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5015	1928

prune102.0ms

Filtered

68 candidates to 110 candidates (-61.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

114 → 4

regimes1.5s

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	22	15
1	22	15

end0.0ms

sample1.3s

Algorithm

intervals

Results

416.0ms	8000×	body	80	valid
293.0ms	5690×	body	80	invalid

Details

analyze1.5s

sample50.0ms

simplify3.0ms

prune17.0ms

localize12.0ms

rewrite15.0ms

series139.0ms

simplify39.0ms

prune60.0ms

localize17.0ms

rewrite35.0ms

series274.0ms

simplify53.0ms

prune144.0ms

localize20.0ms

rewrite28.0ms

series346.0ms

simplify52.0ms

prune128.0ms

localize14.0ms

rewrite35.0ms

series299.0ms

simplify26.0ms

prune102.0ms

regimes1.5s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling