Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 1.181551%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

246.0ms	252×	body	80	valid
1.0ms	18×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify52.0ms

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: 0.6b

Counts

2 → 1

localize9.0ms

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

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:

7.0ms	(* 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))
38.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
16.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune111.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

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

series62.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (- x y) (- z t))
33.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
16.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune133.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0.0b

Counts

129 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
5.5b	(cbrt (/ (- x y) (- z t)))
5.5b	(cbrt (/ (- x y) (- z t)))
5.5b	(cbrt (/ (- x y) (- z t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

39.0ms	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
7.0ms	(cbrt (/ (- x y) (- z t)))
7.0ms	(cbrt (/ (- x y) (- z t)))
7.0ms	(cbrt (/ (- x y) (- z t)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (cbrt (/ (- x y) (- z t))) (cbrt (/ (- x y) (- z t))))
50.0ms	(cbrt (/ (- x y) (- z t)))
49.0ms	(cbrt (/ (- x y) (- z t)))
52.0ms	(cbrt (/ (- x y) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	554	3648
1	1759	3583
2	5001	3373

prune281.0ms

Filtered

180 candidates to 288 candidates (-60.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	288	8	296

Merged error: 0.0b

Counts

296 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
0.2b	(* (sqrt 60.0) (- x y))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
0.7b	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

14.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
7.0ms	(* (sqrt 60.0) (- x y))
10.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
13.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

series96.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t)) (* a 120.0))
6.0ms	(* (sqrt 60.0) (- x y))
10.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (- x y)))
30.0ms	(/ (* (sqrt 60.0) (* (sqrt 60.0) (- x y))) (- z t))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	454	760
1	2311	638
2	5002	626

prune133.0ms

Filtered

70 candidates to 115 candidates (-64.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

regimes988.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 1.181551%

Space saved by search: 0.243902%

Guaranteed chance to sample good point: 0%

Results

328.0ms	7851×	body	80	valid
24.0ms	589×	body	80	invalid
18.0ms	24×	body	2560	valid
10.0ms	57×	body	1280	valid
5.0ms	36×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	8×	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

sample2.8s

simplify52.0ms

prune4.0ms

localize9.0ms

rewrite28.0ms

series58.0ms

simplify44.0ms

prune111.0ms

localize9.0ms

rewrite38.0ms

series62.0ms

simplify52.0ms

prune133.0ms

localize14.0ms

rewrite81.0ms

series223.0ms

simplify79.0ms

prune281.0ms

localize11.0ms

rewrite48.0ms

series96.0ms

simplify68.0ms

prune133.0ms

regimes988.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

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