Details

analyze434.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	87×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	9
1	101	9

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x y) z)
0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
4×	`add-cube-cbrt`
3×	`distribute-lft-out` `difference-of-squares`
2×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `div-inv`

Counts

2 → 46

Calls

2 calls:

6.0ms	(- (+ x y) z)
8.0ms	(/ (- (+ x y) z) (* t 2.0))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (+ x y) z)
10.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify21.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5371	497

prune55.0ms

Filtered

36 candidates to 52 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ y t) (- (/ x t) (/ z t)))
0.0b	(- (/ x t) (/ z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `times-frac`
9×	`add-log-exp`
8×	`distribute-lft-out--`
7×	`add-cube-cbrt`
5×	`distribute-lft-out`
4×	`frac-add` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip--` `div-inv` `sub-div`
1×	`+-commutative` `associate-+r-` `associate-+r+` `distribute-rgt-out--` `flip3-+` `flip-+`

Counts

2 → 45

Calls

2 calls:

23.0ms	(+ (/ y t) (- (/ x t) (/ z t)))
12.0ms	(- (/ x t) (/ z t))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (/ y t) (- (/ x t) (/ z t)))
6.0ms	(- (/ x t) (/ z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5137	671

prune54.0ms

Filtered

41 candidates to 51 candidates (-24.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (+ x (- y z))) (/ (cbrt (+ x (- y z))) t)) (/ (cbrt (+ x (- y z))) 2.0))
0.5b	(cbrt (+ x (- y z)))
0.5b	(cbrt (+ x (- y z)))
0.5b	(cbrt (+ x (- y z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
30×	`cbrt-prod`
28×	`associate-r`
25×	`add-exp-log`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-cbrt-cube`
14×	`cbrt-div`
12×	`distribute-lft-out`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1` `frac-times` `associate-*l/`
7×	`flip3-+` `flip-+`
6×	`distribute-lft-out--`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`pow1/3` `associate-*r/` `pow-prod-down`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 107

Calls

4 calls:

26.0ms	(* (* (cbrt (+ x (- y z))) (/ (cbrt (+ x (- y z))) t)) (/ (cbrt (+ x (- y z))) 2.0))
5.0ms	(cbrt (+ x (- y z)))
5.0ms	(cbrt (+ x (- y z)))
5.0ms	(cbrt (+ x (- y z)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* (cbrt (+ x (- y z))) (/ (cbrt (+ x (- y z))) t)) (/ (cbrt (+ x (- y z))) 2.0))
31.0ms	(cbrt (+ x (- y z)))
29.0ms	(cbrt (+ x (- y z)))
29.0ms	(cbrt (+ x (- y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4960	1782
1	4960	1782

prune108.0ms

Filtered

85 candidates to 119 candidates (-40.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes452.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

analyze492.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample571.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
83.0ms	2748×	body	80	invalid

Details

analyze434.0ms

sample22.0ms

simplify4.0ms

prune9.0ms

localize6.0ms

rewrite15.0ms

series14.0ms

simplify21.0ms

prune55.0ms

localize9.0ms

rewrite37.0ms

series13.0ms

simplify39.0ms

prune54.0ms

localize11.0ms

rewrite45.0ms

series100.0ms

simplify82.0ms

prune108.0ms

regimes452.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze492.0ms

sample571.0ms

Profiling