Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	273×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

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

series171.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
28.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

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

prune194.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
9.0ms	(/ (- x y) (- z t))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
48.0ms	(/ (- x y) (- z t))
60.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696

prune248.0ms

Filtered

125 candidates to 87 candidates (69.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	125	5	130

Merged error: 0b

Counts

130 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
0.9b	(/ 60.0 (/ (- z t) (- x y)))

rewrite31.0ms

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:

1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
8.0ms	(/ (- z t) (- x y))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series424.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
48.0ms	(/ (- z t) (- x y))
261.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (76.0ms)

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

prune472.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	218	4	222

Merged error: 0b

Counts

222 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
0.0b	(/ 1 (- x y))
0.3b	(/ (/ 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))
1.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
5.0ms	(/ 1 (- x y))
25.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ 60.0 (- z t))
92.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
34.0ms	(/ 1 (- x y))
263.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

613 → 613

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2295	7622
1	5003	7055

prune1.2s

Filtered

613 candidates to 317 candidates (51.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	613	0	613
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	613	4	617

Merged error: 0b

Counts

617 → 4

regimes174.0ms

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	13	5
1	13	5

end0.0ms

sample688.0ms

Algorithm

intervals

Results

378.0ms	8534×	body	80	valid
11.0ms	36×	body	1280	valid
5.0ms	32×	body	640	valid
5.0ms	21×	body	2560	valid
3.0ms	25×	body	320	valid
1.0ms	13×	body	160	valid