Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	277×	body	80	valid
0.0ms	1×	body	160	valid

simplify56.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite32.0ms

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:

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

series200.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
31.0ms	(* 60.0 (- x y))
56.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune180.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize17.0ms

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)))

rewrite46.0ms

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:

8.0ms	(/ (- x y) (- z t))
13.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
20.0ms	(* 60.0 (/ (- x y) (- z t)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- x y) (- z t))
115.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
54.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify68.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune251.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(/ x (- z t))
27.0ms	(- (/ x (- z t)) (/ y (- z t)))
35.0ms	(+ (* 60.0 (- (/ x (- z t)) (/ y (- z t)))) (* a 120.0))
32.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ x (- z t))
102.0ms	(- (/ x (- z t)) (/ y (- z t)))
126.0ms	(+ (* 60.0 (- (/ x (- z t)) (/ y (- z t)))) (* a 120.0))
127.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify51.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	472	890
1	1714	834
2	5002	834

prune265.0ms

Filtered

134 candidates to 96 candidates (71.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	134	6	140

Merged error: 0.0b

Counts

140 → 6

localize9.0ms

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))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite66.0ms

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

series453.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- z t) (- x y))
143.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
264.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (62.0ms)

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

prune415.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0.0b

Counts

220 → 6

regimes397.0ms

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	17	8
1	17	8

end0.0ms

sample656.0ms

Algorithm

intervals

Results

358.0ms	8554×	body	80	valid
12.0ms	35×	body	2560	valid
8.0ms	43×	body	1280	valid
4.0ms	28×	body	640	valid
1.0ms	10×	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