Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	295×	body	80	valid
10.0ms	250×	body	80	nan

simplify69.0ms

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: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

20.0ms	(+ (- 1.0 z) (log z))
39.0ms	(* y (+ (- 1.0 z) (log z)))

series248.0ms

Counts

2 → 6

Calls

2 calls:

169.0ms	(+ (- 1.0 z) (log z))
79.0ms	(* y (+ (- 1.0 z) (log z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	282	371
1	1301	289
2	5002	286

prune190.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series136.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
38.0ms	(* y (log z))

simplify46.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	318	480
1	1301	356
2	5001	319

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
0.1b	(fma y (- 1.0 z) (* y (log (sqrt z))))
0.3b	(* y (log (sqrt z)))
0.3b	(* y (log (sqrt z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
12×	`pow1` `associate-+r+` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `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 → 109

Calls

4 calls:

4.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
0.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
6.0ms	(* y (log (sqrt z)))
5.0ms	(* y (log (sqrt z)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
98.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
91.0ms	(* y (log (sqrt z)))
92.0ms	(* y (log (sqrt z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	335	891
1	1233	815
2	5001	768

prune367.0ms

Pruning

5 alts after pruning (4 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) (* (log (cbrt z)) y))
0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series660.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
123.0ms	(* (log (cbrt z)) y)
186.0ms	(cbrt z)
189.0ms	(cbrt z)

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	254	439
1	1038	395
2	5001	361

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes81.0ms

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	14	6
1	14	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

403.0ms	9265×	body	80	nan
335.0ms	9136×	body	80	valid