Details

sample18.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.939941%

Guaranteed chance to sample good point: 45.841035%

Results

10.0ms	251×	body	80	valid
1.0ms	15×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

prune5.0ms

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: 0.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.9b	(/ (* 60.0 (- x y)) (- z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 60.0 (- x y))
11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series58.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 60.0 (- x y))
34.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
19.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5002	361

prune114.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Merged error: 0.0b

Counts

76 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.9b	(/ 60.0 (/ (- z t) (- x y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+`

Counts

3 → 205

Calls

3 calls:

8.0ms	(/ (- z t) (- x y))
27.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- z t) (- x y))
34.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
43.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	727	1908
1	3212	1851
2	5001	1849

prune210.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	214	6	220

Merged error: 0.0b

Counts

220 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
10.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
14.0ms	(* (/ 60.0 (- z t)) (- x y))

series80.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
37.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
38.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	446	649
1	1793	601
2	5002	601

prune128.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
0.0b	(/ 1 (- x y))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

4 → 596

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
98.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
6.0ms	(/ 1 (- x y))
24.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
33.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
5.0ms	(/ 1 (- x y))
45.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

608 → 608

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2343	7709
1	5002	7153

prune646.0ms

Filtered

309 candidates to 608 candidates (-96.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	608	0	608
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	608	6	614

Merged error: 0.0b

Counts

614 → 6

regimes941.0ms

Accuracy

0% (0.1b 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	16	6
1	16	6

end0.0ms

sample20.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.939941%

Guaranteed chance to sample good point: 45.841035%

Results

328.0ms	7860×	body	80	valid
28.0ms	616×	body	80	invalid
9.0ms	50×	body	1280	valid
6.0ms	29×	body	2560	valid
5.0ms	32×	body	640	valid
2.0ms	23×	body	320	valid
0.0ms	6×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Details

sample18.5s

simplify56.0ms

prune5.0ms

localize10.0ms

rewrite27.0ms

series58.0ms

simplify47.0ms

prune114.0ms

localize10.0ms

rewrite61.0ms

series89.0ms

simplify88.0ms

prune210.0ms

localize10.0ms

rewrite33.0ms

series80.0ms

simplify51.0ms

prune128.0ms

localize11.0ms

rewrite183.0ms

series88.0ms

simplify122.0ms

prune646.0ms

regimes941.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample20.6s

Profiling

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6