Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	294×	body	80	valid
11.0ms	273×	body	80	nan

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
17.0ms	(+ (- 1.0 z) (log z))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
160.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366

prune217.0ms

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	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series237.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
97.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
42.0ms	(* y (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	494	914
1	2048	666
2	5003	654

prune348.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* (log (sqrt z)) y))
0.2b	(fma y (- 1.0 z) (* y (log (sqrt z))))
0.2b	(* (log (sqrt z)) y)
0.2b	(* y (log (sqrt z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `log-prod`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

2.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* (log (sqrt z)) y))
0.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
5.0ms	(* (log (sqrt z)) y)
6.0ms	(* y (log (sqrt z)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* (log (sqrt z)) y))
94.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
120.0ms	(* (log (sqrt z)) y)
90.0ms	(* y (log (sqrt z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	342	672
1	1413	617
2	5002	590

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series752.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt z) (cbrt z))
182.0ms	(cbrt z)
187.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune334.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

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
1	12	5

end0.0ms

sample1.4s

Algorithm

intervals

Results

570.0ms	9151×	body	80	valid
405.0ms	9193×	body	80	nan