Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	270×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify82.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

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)))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite23.0ms

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:

8.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(/ (* 60.0 (- x y)) (- z t))

series196.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* 60.0 (- x y))
96.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
68.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

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

prune230.0ms

Pruning

5 alts after pruning (5 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))))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite38.0ms

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))))
16.0ms	(/ 60.0 (/ (- z t) (- x y)))

series444.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- z t) (- x y))
100.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
288.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (66.0ms)

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

prune613.0ms

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

rewrite33.0ms

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:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

series216.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- x y) (- z t))
97.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
63.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (42.0ms)

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

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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))))
0.3b	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

rewrite87.0ms

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:

9.0ms	(/ 60.0 (- z t))
6.0ms	(/ 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)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 60.0 (- z t))
35.0ms	(/ 1 (- x y))
101.0ms	(fma 120.0 a (/ (/ 60.0 (- z t)) (/ 1 (- x y))))
293.0ms	(/ (/ 60.0 (- z t)) (/ 1 (- x y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

613 → 613

Iterations

Useful iterations: 1 (50.0ms)

Iter	Nodes	Cost
0	2295	7622
1	5003	7055

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes175.0ms

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

sample608.0ms

Algorithm

intervals

Results

324.0ms	8524×	body	80	valid
8.0ms	44×	body	1280	valid
6.0ms	40×	body	640	valid
5.0ms	23×	body	2560	valid
2.0ms	23×	body	320	valid
1.0ms	15×	body	160	valid