Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	276×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

7.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series180.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* 60.0 (- x y))
88.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
62.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune191.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Merged error: 0b

Counts

97 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite33.0ms

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`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

9.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- z t) (- x y))
92.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
284.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815

prune466.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	219	6	225

Merged error: 0b

Counts

225 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
35×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef`

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
13.0ms	(* (/ 60.0 (- z t)) (- x y))

series406.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ 60.0 (- z t))
90.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
271.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	514	923
1	2059	746
2	5002	738

prune241.0ms

Filtered

128 candidates to 86 candidates (67.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	128	6	134

Merged error: 0b

Counts

134 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(/ 1 (- x y))
0.0b	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
0.4b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 601

Calls

4 calls:

5.0ms	(/ 60.0 (- z t))
5.0ms	(/ 1 (- x y))
1.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
24.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 60.0 (- z t))
49.0ms	(/ 1 (- x y))
126.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
273.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify125.0ms

Algorithm

egg-herbie

Counts

613 → 613

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2295	7622
1	5003	7055

prune1.3s

Filtered

613 candidates to 316 candidates (51.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	613	0	613
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	613	6	619

Merged error: 0b

Counts

619 → 6

regimes238.0ms

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	12	5

end0.0ms

sample614.0ms

Algorithm

intervals

Results

329.0ms	8487×	body	80	valid
11.0ms	47×	body	1280	valid
5.0ms	39×	body	640	valid
5.0ms	25×	body	2560	valid
2.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

Details

sample24.0ms

simplify65.0ms

prune6.0ms

localize9.0ms

rewrite20.0ms

series180.0ms

simplify54.0ms

prune191.0ms

localize9.0ms

rewrite33.0ms

series425.0ms

simplify85.0ms

prune466.0ms

localize11.0ms

rewrite23.0ms

series406.0ms

simplify56.0ms

prune241.0ms

localize10.0ms

rewrite88.0ms

series494.0ms

simplify125.0ms

prune1.3s

regimes238.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample614.0ms

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