Details

sample684.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

12.0ms	286×	body	80	valid
1.0ms	3×	body	1280	valid

simplify55.0ms

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

prune4.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

13.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series54.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
16.0ms	(/ (* 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	5001	361

prune109.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-rgt-neg-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`div-sub` `associate-/l*`
3×	`pow1` `flip3-+` `unsub-neg` `flip-+`
2×	`+-commutative` `associate-+l-` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 74

Calls

3 calls:

13.0ms	(+ (/ (+ (* 60.0 x) (* 60.0 (neg y))) (- z t)) (* a 120.0))
4.0ms	(+ (* 60.0 x) (* 60.0 (neg y)))
8.0ms	(/ (+ (* 60.0 x) (* 60.0 (neg y))) (- z t))

series57.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (/ (+ (* 60.0 x) (* 60.0 (neg y))) (- z t)) (* a 120.0))
5.0ms	(+ (* 60.0 x) (* 60.0 (neg y)))
16.0ms	(/ (+ (* 60.0 x) (* 60.0 (neg y))) (- z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	737
1	1387	653
2	5002	649

prune123.0ms

Filtered

63 candidates to 83 candidates (-31.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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:

29.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
7.0ms	(/ (- z t) (- x y))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ (- z t) (- x y))
38.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (60.0ms)

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

prune206.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	214	6	220

Merged error: 0.0b

Counts

220 → 6

localize9.0ms

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))

rewrite30.0ms

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))
11.0ms	(* (/ 60.0 (- z t)) (- x y))

series78.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
32.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
41.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

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

prune185.0ms

Filtered

80 candidates to 111 candidates (-38.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	26	8
2	27	8
3	27	8

end0.0ms

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

358.0ms	8538×	body	80	valid
8.0ms	45×	body	1280	valid
6.0ms	39×	body	640	valid
5.0ms	22×	body	2560	valid
1.0ms	13×	body	320	valid
0.0ms	5×	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

sample684.0ms

simplify55.0ms

prune4.0ms

localize10.0ms

rewrite29.0ms

series54.0ms

simplify47.0ms

prune109.0ms

localize14.0ms

rewrite27.0ms

series57.0ms

simplify46.0ms

prune123.0ms

localize10.0ms

rewrite60.0ms

series86.0ms

simplify80.0ms

prune206.0ms

localize9.0ms

rewrite30.0ms

series78.0ms

simplify46.0ms

prune185.0ms

regimes1.1s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

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