Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	265×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	3×	body	320	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize10.0ms

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)))
1.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite36.0ms

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:

17.0ms	(* 60.0 (- x y))
0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

series210.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* 60.0 (- x y))
102.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
68.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (51.0ms)

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

prune258.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))))
0.3b	(/ 60.0 (/ (- z t) (- x y)))

rewrite61.0ms

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:

13.0ms	(/ (- z t) (- x y))
0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
28.0ms	(/ 60.0 (/ (- z t) (- x y)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z t) (- x y))
106.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
323.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (74.0ms)

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

prune695.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite39.0ms

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:

6.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
28.0ms	(* (/ 60.0 (- z t)) (- x y))

series490.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ 60.0 (- z t))
112.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
325.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (56.0ms)

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

prune382.0ms

Filtered

128 candidates to 86 candidates (67.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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:

6.0ms	(/ 1 (- x y))
6.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
30.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ 1 (- x y))
47.0ms	(/ 60.0 (- z t))
107.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
330.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

613 → 613

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2295	7622
1	5003	7055

prune1.6s

Filtered

613 candidates to 316 candidates (51.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes241.0ms

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

sample827.0ms

Algorithm

intervals

Results

552.0ms	8541×	body	80	valid
5.0ms	32×	body	1280	valid
4.0ms	23×	body	2560	valid
4.0ms	30×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	11×	body	160	valid