Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
8.0ms	319×	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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite60.0ms

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:

17.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (- 1.0 z) (log z))
58.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
77.0ms	(* 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

prune218.0ms

Filtered

85 candidates to 61 candidates (71.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

12.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
7.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
657.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
179.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5001	502

prune341.0ms

Filtered

89 candidates to 74 candidates (83.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1 (log z) (- 1.0 z))
0.0b	(fma x 0.5 (* 1 (* y (fma 1 (log z) (- 1.0 z)))))
0.2b	(* y (fma 1 (log z) (- 1.0 z)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`fma-udef`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma 1 (log z) (- 1.0 z))
0.0ms	(fma x 0.5 (* 1 (* y (fma 1 (log z) (- 1.0 z)))))
7.0ms	(* y (fma 1 (log z) (- 1.0 z)))

series356.0ms

Counts

3 → 9

Calls

3 calls:

204.0ms	(fma 1 (log z) (- 1.0 z))
60.0ms	(fma x 0.5 (* 1 (* y (fma 1 (log z) (- 1.0 z)))))
92.0ms	(* y (fma 1 (log z) (- 1.0 z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	213	324
1	891	278
2	3878	272
3	5001	272

prune153.0ms

Filtered

51 candidates to 40 candidates (78.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
2×	`associate-+l+` `fma-udef`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `pow-pow` `fma-def` `distribute-lft-in` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

3.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
3.0ms	(* (log (pow z 1/3)) y)
0.0ms	(cbrt z)
1.0ms	(pow z 1/3)

series752.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(+ (* y (fma 2 (log (cbrt z)) (- 1.0 z))) (* (log (pow z 1/3)) y))
116.0ms	(* (log (pow z 1/3)) y)
181.0ms	(cbrt z)
175.0ms	(pow z 1/3)

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	434
1	1224	390
2	5001	366

prune312.0ms

Filtered

82 candidates to 65 candidates (79.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes83.0ms

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	11	5
1	11	5

end0.0ms

sample961.0ms

Algorithm

intervals

Results

323.0ms	9165×	body	80	valid
249.0ms	9181×	body	80	nan