Details

sample44.0ms

Algorithm

intervals

Results

17.0ms	284×	body	80	valid
11.0ms	261×	body	80	nan

simplify66.0ms

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

prune5.0ms

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

rewrite70.0ms

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

Counts

3 → 82

Calls

3 calls:

17.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ (- 1.0 z) (log z))
63.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune233.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

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

series194.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
93.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	452	649
1	1868	508
2	5001	496

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 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:

3.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* (log (sqrt z)) y))
0.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
4.0ms	(* (log (sqrt z)) y)
5.0ms	(* y (log (sqrt z)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* (log (sqrt z)) y))
96.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
127.0ms	(* (log (sqrt z)) y)
88.0ms	(* y (log (sqrt z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

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

prune309.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)

rewrite26.0ms

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:

19.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series801.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
301.0ms	(* (log (cbrt z)) y)
177.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

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

prune297.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

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	17	11
1	19	11
2	19	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

559.0ms	9179×	body	80	valid
381.0ms	9111×	body	80	nan