Details

sample62.0ms

Algorithm

intervals

Results

24.0ms	290×	body	80	valid
21.0ms	307×	body	80	nan

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

18.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
46.0ms	(* y (+ (- 1.0 z) (log z)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ (- 1.0 z) (log z))
55.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

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

prune214.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

4.0ms	(+ (log z) 1.0)
32.0ms	(- (+ (log z) 1.0) z)
0.0ms	(fma x 0.5 (* y (- (+ (log z) 1.0) z)))
59.0ms	(* y (- (+ (log z) 1.0) z))

series409.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (log z) 1.0)
164.0ms	(- (+ (log z) 1.0) z)
54.0ms	(fma x 0.5 (* y (- (+ (log z) 1.0) z)))
75.0ms	(* y (- (+ (log z) 1.0) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	412	1191
1	1576	802
2	5002	784

prune245.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite35.0ms

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:

15.0ms	(* y (- 1.0 z))
0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
10.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series221.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- 1.0 z))
61.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
91.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (53.0ms)

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

prune338.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-l`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series618.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
122.0ms	(* (log (cbrt z)) y)
170.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	249	437
1	959	386
2	5001	358

prune306.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes74.0ms

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

sample1.7s

Algorithm

intervals

Results

764.0ms	9116×	body	80	valid
564.0ms	9044×	body	80	nan