Details

analyze1.1s

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
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	106×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune4.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x y) (* z t))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series30.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune45.0ms

Filtered

24 candidates to 30 candidates (-25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

13.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (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)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
53.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
54.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
52.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify125.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	312	1441
1	1115	1348
2	4895	1239
3	5002	1223

prune116.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
0.6b	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
0.6b	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-div`
19×	`flip3-+` `flip-+`
12×	`frac-times`
6×	`cbrt-prod` `associate-r/` `associate-l/`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
15.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
12.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
12.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
98.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
98.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))
102.0ms	(cbrt (* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	286	1792
1	759	1692
2	2643	1628
3	5001	1605

prune111.0ms

Filtered

62 candidates to 76 candidates (-22.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0b

Counts

81 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite31.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
13.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (+ (* x y) (* z t)) (* a b))
126.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
122.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
21.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	314	1153
1	1488	1063
2	5003	1037

prune87.0ms

Filtered

66 candidates to 112 candidates (-69.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	112	5	117

Merged error: 0b

Counts

117 → 5

regimes890.0ms

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	16	5
1	16	5

end0.0ms

analyze1.3s

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
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample819.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
154.0ms	3883×	body	80	invalid

Details

analyze1.1s

sample29.0ms

simplify6.0ms

prune4.0ms

localize8.0ms

rewrite10.0ms

series30.0ms

simplify77.0ms

prune45.0ms

localize15.0ms

rewrite30.0ms

series254.0ms

simplify125.0ms

prune116.0ms

localize22.0ms

rewrite47.0ms

series352.0ms

simplify82.0ms

prune111.0ms

localize11.0ms

rewrite31.0ms

series288.0ms

simplify54.0ms

prune87.0ms

regimes890.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.3s

sample819.0ms

Profiling