Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
8.0ms	287×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

10.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
3.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
41.0ms	(- (fma (log y) (+ y 0.5) z) y)
39.0ms	(fma (log y) (+ y 0.5) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	404	1160
1	1496	822
2	5003	746

prune203.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (+ (* (log y) (+ 0.5 y)) z) y))
0.1b	(- (+ (* (log y) (+ 0.5 y)) z) y)
0.1b	(* (log y) (+ 0.5 y))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
39×	`add-sqr-sqrt`
33×	`prod-diff`
27×	`add-cube-cbrt`
17×	`add-log-exp`
12×	`associate--r+`
7×	`diff-log` `distribute-lft-out--`
6×	`pow1` `fma-neg`
5×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `associate--l+` `sum-log` `flip--`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate--r-` `unswap-sqr`

Counts

3 → 106

Calls

3 calls:

64.0ms	(- x (- (+ (* (log y) (+ 0.5 y)) z) y))
45.0ms	(- (+ (* (log y) (+ 0.5 y)) z) y)
10.0ms	(* (log y) (+ 0.5 y))

series349.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (- (+ (* (log y) (+ 0.5 y)) z) y))
47.0ms	(- (+ (* (log y) (+ 0.5 y)) z) y)
249.0ms	(* (log y) (+ 0.5 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	524	1406
1	2255	953
2	5002	857

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.1b	(fma (log y) (+ 0.5 y) (- z y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

3.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.0ms	(fma (log y) (+ 0.5 y) (- z y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
42.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify113.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	235	546
1	674	364
2	3928	351
3	5001	349

prune119.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y))
0.0b	(+ (* (log y) 0.5) (* (log y) y))
0.1b	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
0.2b	(* (log y) y)

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
42×	`prod-diff`
31×	`add-cube-cbrt`
29×	`add-log-exp`
15×	`associate--r+`
13×	`distribute-lft-out` `distribute-lft-out--`
10×	`diff-log`
7×	`pow1` `fma-neg` `sum-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `associate--r-` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

128.0ms	(- x (- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y))
3.0ms	(+ (* (log y) 0.5) (* (log y) y))
86.0ms	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
3.0ms	(* (log y) y)

series897.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- x (- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y))
604.0ms	(+ (* (log y) 0.5) (* (log y) y))
55.0ms	(- (+ (+ (* (log y) 0.5) (* (log y) y)) z) y)
179.0ms	(* (log y) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	567	2000
1	2419	1218
2	5002	1065

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	5
1	17	5
2	17	5

end0.0ms

sample839.0ms

Algorithm

intervals

Results

281.0ms	8041×	body	80	valid
220.0ms	7927×	body	80	nan
0.0ms	1×	body	320	valid