Details

analyze1.2s

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

sample32.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	134×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune13.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

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:

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

series29.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ (* x y) (* z t)) (* a b))
10.0ms	(+ (* x y) (* z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	369

prune43.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

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:

11.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
38.0ms	(cbrt (+ (* x y) (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4917	1443
1	4917	1443

prune124.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
4.0ms	(cbrt (+ (* x y) (* z t)))
6.0ms	(cbrt (+ (* x y) (* z t)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4995	812
1	4995	812

prune106.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (cbrt (+ (* x y) (* z t))) 6)
1.1b	(cbrt (+ (* x y) (* z t)))
1.1b	(cbrt (+ (* x y) (* z t)))
27.7b	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

5.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
4.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

series173.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (cbrt (+ (* x y) (* z t))) 6)
37.0ms	(cbrt (+ (* x y) (* z t)))
35.0ms	(cbrt (+ (* x y) (* z t)))
48.0ms	(cbrt (pow (cbrt (+ (* x y) (* z t))) 6))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5070	911

prune95.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

regimes887.0ms

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	11
1	16	11

end0.0ms

sample849.0ms

Algorithm

intervals

Results

314.0ms	8000×	body	80	valid
144.0ms	3835×	body	80	invalid

Details

analyze1.2s

sample32.0ms

simplify3.0ms

prune13.0ms

localize8.0ms

rewrite10.0ms

series29.0ms

simplify42.0ms

prune43.0ms

localize14.0ms

rewrite24.0ms

series157.0ms

simplify49.0ms

prune124.0ms

localize19.0ms

rewrite18.0ms

series142.0ms

simplify51.0ms

prune106.0ms

localize15.0ms

rewrite19.0ms

series173.0ms

simplify51.0ms

prune95.0ms

regimes887.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample849.0ms

Profiling