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

10.0ms	256×	body	80	valid
4.0ms	115×	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

prune9.0ms

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))
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:

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

series32.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
22.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	369

prune39.0ms

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: 0b

Counts

31 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

2.3b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
5.8b	(* a (* b b))
7.5b	(* a (* a (* b b)))
25.1b	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

rewrite41.0ms

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:

10.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
5.0ms	(* a (* b b))
7.0ms	(* a (* a (* b b)))
17.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b))))
7.0ms	(* a (* b b))
7.0ms	(* a (* a (* b b)))
86.0ms	(/ (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* a (* a (* b b)))) (+ (* x y) (- (* z t) (* a b))))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5139	2263

prune87.0ms

Filtered

66 candidates to 97 candidates (-47.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0b

Counts

100 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (* x (* y y)))
5.9b	(* z (* t (- (* z t) (* x y))))
8.7b	(* x (* y y))
35.9b	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`times-frac`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-l`
5×	`associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sum-cubes` `distribute-lft-out` `add-log-exp`
3×	`associate-r` `associate-/r` `-commutative`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

7.0ms	(* x (* x (* y y)))
7.0ms	(* z (* t (- (* z t) (* x y))))
5.0ms	(* x (* y y))
18.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (* x (* y y)))
18.0ms	(* z (* t (- (* z t) (* x y))))
7.0ms	(* x (* y y))
48.0ms	(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* x (* x (* y y))) (* z (* t (- (* z t) (* x y))))))

simplify35.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5093	2389

prune134.0ms

Filtered

69 candidates to 115 candidates (-66.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes755.0ms

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

sample853.0ms

Algorithm

intervals

Results

319.0ms	8000×	body	80	valid
153.0ms	3934×	body	80	invalid

Details

analyze1.2s

sample30.0ms

simplify3.0ms

prune9.0ms

localize8.0ms

rewrite10.0ms

series32.0ms

simplify42.0ms

prune39.0ms

localize19.0ms

rewrite41.0ms

series260.0ms

simplify48.0ms

prune87.0ms

localize21.0ms

rewrite41.0ms

series79.0ms

simplify35.0ms

prune134.0ms

regimes755.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample853.0ms

Profiling