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

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	113×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune8.0ms

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

rewrite9.0ms

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:

5.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.0ms	(+ (* x y) (* z t))

series31.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (+ (* x y) (* z t)) (* a b))
11.0ms	(+ (* x y) (* z t))

simplify33.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5054	369

prune55.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0.0b

Counts

31 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.5b	(cbrt (+ (* x y) (* z t)))
2.5b	(cbrt (+ (* x y) (* z t)))
2.5b	(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

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:

10.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
37.0ms	(cbrt (+ (* x y) (* z t)))
37.0ms	(cbrt (+ (* x y) (* z t)))
39.0ms	(cbrt (+ (* x y) (* z t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5421	1441

prune128.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.0b	(+ (* x y) (* z t))
0.3b	(pow (+ (* x y) (* z t)) 3)
37.3b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

8.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
3.0ms	(+ (* x y) (* z t))
4.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series74.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
10.0ms	(+ (* x y) (* z t))
33.0ms	(pow (+ (* x y) (* z t)) 3)
10.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4930	1007
1	4930	1007

prune91.0ms

Filtered

52 candidates to 82 candidates (-57.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0.0b

Counts

87 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
5.8b	(* a (* a (* b b)))
7.3b	(* a (* b b))
29.5b	(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

rewrite32.0ms

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-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
7.0ms	(* a (* a (* b b)))
5.0ms	(* a (* b b))
12.0ms	(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b))))
8.0ms	(* a (* a (* b b)))
7.0ms	(* a (* b b))
87.0ms	(/ (- (pow (+ (* x y) (* z t)) 2) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4972	1905
1	4972	1905

prune289.0ms

Filtered

64 candidates to 95 candidates (-48.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes845.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	39
1	25	39

end0.0ms

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

sample857.0ms

Algorithm

intervals

Results

317.0ms	8000×	body	80	valid
157.0ms	3941×	body	80	invalid

Details

analyze1.2s

sample30.0ms

simplify3.0ms

prune8.0ms

localize12.0ms

rewrite9.0ms

series31.0ms

simplify33.0ms

prune55.0ms

localize13.0ms

rewrite22.0ms

series162.0ms

simplify51.0ms

prune128.0ms

localize12.0ms

rewrite24.0ms

series74.0ms

simplify50.0ms

prune91.0ms

localize17.0ms

rewrite32.0ms

series257.0ms

simplify47.0ms

prune289.0ms

regimes845.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample857.0ms

Profiling