Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.759766%

Guaranteed chance to sample good point: 63.578133%

Results

8.0ms	256×	body	80	valid
6.0ms	81×	body	80	invalid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

9.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify65.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	203	198
1	740	169
2	3492	169
3	5001	169

prune45.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	5	34

Merged error: 0.0b

Counts

34 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

29.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
15.0ms	(+ (/ y t) (/ x t))

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
7.0ms	(+ (/ y t) (/ x t))

simplify51.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	220	339
1	671	323
2	2370	316
3	5002	316

prune58.0ms

Filtered

35 candidates to 47 candidates (-34.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ y t) (/ y t))
0.2b	(* (/ x t) (/ x t))
2.9b	(- (* (/ y t) (/ y t)) (* (/ x t) (/ x t)))
27.3b	(/ (- (* (/ y t) (/ y t)) (* (/ x t) (/ x t))) (- (/ y t) (/ x t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
172×	`add-sqr-sqrt`
128×	`*-un-lft-identity`
88×	`add-cube-cbrt`
34×	`difference-of-squares`
30×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
22×	`associate-r/` `associate-l/`
20×	`distribute-lft-out--`
19×	`frac-sub` `div-inv`
18×	`pow1` `frac-times`
16×	`associate-/l/`
12×	`associate-/r*`
11×	`sub-div`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`add-log-exp`
5×	`distribute-rgt-out--`
4×	`associate-/r/` `associate-/l*`
3×	`flip3--` `flip--`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `clear-num`

Counts

4 → 258

Calls

4 calls:

12.0ms	(* (/ y t) (/ y t))
10.0ms	(* (/ x t) (/ x t))
7.0ms	(- (* (/ y t) (/ y t)) (* (/ x t) (/ x t)))
23.0ms	(/ (- (* (/ y t) (/ y t)) (* (/ x t) (/ x t))) (- (/ y t) (/ x t)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (/ y t) (/ y t))
5.0ms	(* (/ x t) (/ x t))
15.0ms	(- (* (/ y t) (/ y t)) (* (/ x t) (/ x t)))
18.0ms	(/ (- (* (/ y t) (/ y t)) (* (/ x t) (/ x t))) (- (/ y t) (/ x t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1160	2628
1	5002	2401

prune217.0ms

Filtered

186 candidates to 270 candidates (-45.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	270	5	275

Merged error: 0b

Counts

275 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))
0.3b	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
1.3b	(sqrt (/ (- (+ x y) z) (* t 2.0)))
1.3b	(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
78×	`sqrt-prod`
54×	`times-frac`
52×	`add-sqr-sqrt`
24×	`distribute-lft-out--`
22×	`add-cube-cbrt`
21×	`pow1` `swap-sqr`
13×	`associate-r` `associate-l`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`difference-of-squares`
7×	`div-inv`
6×	`sqrt-div` `associate-/l*`
5×	`pow-prod-up`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `associate-l/` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `flip--`

Counts

4 → 151

Calls

4 calls:

9.0ms	(/ (- (+ x y) z) (* t 2.0))
21.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- (+ x y) z) (* t 2.0))
37.0ms	(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
25.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))
28.0ms	(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	397	1145
1	1765	1043
2	5001	1022

prune191.0ms

Filtered

96 candidates to 163 candidates (-69.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	163	5	168

Merged error: 0b

Counts

168 → 5

regimes489.0ms

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	11	4
1	11	4

end0.0ms

sample1.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 3.759766%

Guaranteed chance to sample good point: 63.578133%

Results

265.0ms	8000×	body	80	valid
86.0ms	2514×	body	80	invalid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Details

sample1.1s

simplify31.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series11.0ms

simplify65.0ms

prune45.0ms

localize9.0ms

rewrite46.0ms

series15.0ms

simplify51.0ms

prune58.0ms

localize13.0ms

rewrite66.0ms

series43.0ms

simplify54.0ms

prune217.0ms

localize9.0ms

rewrite49.0ms

series101.0ms

simplify56.0ms

prune191.0ms

regimes489.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4