Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
7.0ms	285×	body	80	nan

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

prune7.0ms

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

rewrite18.0ms

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:

11.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
0.0ms	(fma (log y) (+ y 0.5) z)
3.0ms	(- (fma (log y) (+ y 0.5) z) y)

series133.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
35.0ms	(fma (log y) (+ y 0.5) z)
48.0ms	(- (fma (log y) (+ y 0.5) z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (38.0ms)

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

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

37.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
11.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
10.0ms	(* (log y) (+ y 0.5))

series514.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
54.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
408.0ms	(* (log y) (+ y 0.5))

simplify81.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	664	1000
1	3136	717
2	5002	715

prune271.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

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 y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

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

series141.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- x (fma (log y) (+ y 0.5) (- z y)))
42.0ms	(fma (log y) (+ y 0.5) (- z y))
48.0ms	(fma (log y) (+ y 0.5) (- z y))

simplify119.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	236	624
1	669	439
2	3924	422
3	5001	420

prune235.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (+ (* (log y) y) (fma 0.5 (log y) (- z y))))
0.0b	(fma 0.5 (log y) (- z y))
0.1b	(+ (* (log y) y) (fma 0.5 (log y) (- z y)))
0.3b	(* (log y) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

13.0ms	(- x (+ (* (log y) y) (fma 0.5 (log y) (- z y))))
0.0ms	(fma 0.5 (log y) (- z y))
3.0ms	(+ (* (log y) y) (fma 0.5 (log y) (- z y)))
3.0ms	(* (log y) y)

series325.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- x (+ (* (log y) y) (fma 0.5 (log y) (- z y))))
30.0ms	(fma 0.5 (log y) (- z y))
73.0ms	(+ (* (log y) y) (fma 0.5 (log y) (- z y)))
171.0ms	(* (log y) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	394	900
1	1345	633
2	5001	600

prune221.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes104.0ms

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	20	13
1	20	13

end0.0ms

sample806.0ms

Algorithm

intervals

Results

269.0ms	8043×	body	80	valid
215.0ms	8094×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid