Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	268×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize9.0ms

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))
0.9b	(/ (* 60.0 (- x y)) (- z t))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 146

Calls

3 calls:

50.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
10.0ms	(* 60.0 (- x y))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series223.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
35.0ms	(* 60.0 (- x y))
63.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify80.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	594	1127
1	2446	1084
2	5002	1084

prune259.0ms

Filtered

155 candidates to 101 candidates (34.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Merged error: 0.0b

Counts

156 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 134

Calls

3 calls:

38.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

series252.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
57.0ms	(/ (- x y) (- z t))
66.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	484	846
1	1962	799
2	5002	799

prune234.0ms

Filtered

143 candidates to 92 candidates (35.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	143	6	149

Merged error: 0.0b

Counts

149 → 6

localize9.0ms

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))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
205×	`*-un-lft-identity`
201×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
25×	`associate-/r/`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--`
6×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `frac-2neg` `clear-num`
2×	`distribute-lft-out`
1×	`+-commutative` `flip3-+` `div-sub` `associate-l` `sum-log` `flip-+`

Counts

3 → 221

Calls

3 calls:

75.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
13.0ms	(/ 60.0 (/ (- z t) (- x y)))

series531.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
53.0ms	(/ (- z t) (- x y))
311.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	743	1967
1	3283	1910
2	5001	1908

prune412.0ms

Filtered

230 candidates to 154 candidates (33.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	231	5	236

Merged error: 0.0b

Counts

236 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
712×	`*-un-lft-identity`
708×	`add-sqr-sqrt`
424×	`add-cube-cbrt`
142×	`distribute-lft-out--` `difference-of-squares`
103×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
41×	`associate-/r*`
33×	`associate-/l*`
32×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/l/`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1` `frac-2neg` `clear-num`
3×	`rec-exp` `1-exp`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-l` `sum-log` `flip-+` `inv-pow`

Counts

4 → 618

Calls

4 calls:

246.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
5.0ms	(/ 1 (- x y))
24.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (/ (/ 60.0 (- z t)) (/ 1 (- x y))) (* a 120.0))
45.0ms	(/ 60.0 (- z t))
43.0ms	(/ 1 (- x y))
307.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

630 → 630

Iterations

Useful iterations: 1 (60.0ms)

Iter	Nodes	Cost
0	2368	7816
1	5002	7248

prune1.2s

Filtered

630 candidates to 327 candidates (48.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	629	1	630
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	630	5	635

Merged error: 0.0b

Counts

635 → 5

regimes276.0ms

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	16	6
1	16	6

end0.0ms

sample582.0ms

Algorithm

intervals

Results

299.0ms	8508×	body	80	valid
7.0ms	34×	body	2560	valid
6.0ms	41×	body	1280	valid
4.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	10×	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

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