Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	259×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify65.0ms

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 (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: 0.2b

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))

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:

15.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series209.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
32.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (12.0ms)

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

prune173.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.0b	(* 60.0 (- x y))
0.2b	(/ (- z t) (* 60.0 (- x y)))
0.9b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

20.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
7.0ms	(* 60.0 (- x y))
9.0ms	(/ (- z t) (* 60.0 (- x y)))
11.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
29.0ms	(* 60.0 (- x y))
61.0ms	(/ (- z t) (* 60.0 (- x y)))
279.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	561	1050
1	2686	875
2	5001	871

prune258.0ms

Filtered

151 candidates to 84 candidates (55.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	152	6	158

Merged error: 0.0b

Counts

158 → 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))
1.0b	(/ 60.0 (/ (- z t) (- x y)))

rewrite65.0ms

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))
33.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series471.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z t) (- x y))
145.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
268.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (75.0ms)

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

prune487.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
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)) (- x y)) (* a 120.0))
0.0b	(/ 60.0 (- z t))
0.3b	(* (/ 60.0 (- z t)) (- x y))

rewrite36.0ms

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:

11.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
5.0ms	(/ 60.0 (- z t))
16.0ms	(* (/ 60.0 (- z t)) (- x y))

series467.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
44.0ms	(/ 60.0 (- z t))
278.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify50.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	446	649
1	1793	601
2	5001	601

prune212.0ms

Filtered

111 candidates to 79 candidates (71.2%)

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

regimes368.0ms

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

sample582.0ms

Algorithm

intervals

Results

293.0ms	8490×	body	80	valid
9.0ms	60×	body	1280	valid
5.0ms	43×	body	640	valid
5.0ms	24×	body	2560	valid
2.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	5120	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