Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	263×	body	80	nan

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

139.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
7.0ms	(- x (* (+ y 0.5) (log y)))
22.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
44.0ms	(- x (* (+ y 0.5) (log y)))
42.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
263.0ms	(* (+ y 0.5) (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	539	1002
1	2085	847
2	5002	829

prune342.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
10×	`add-log-exp`
6×	`distribute-lft-out`
4×	`fma-neg`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 63

Calls

3 calls:

44.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
6.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
0.0ms	(fma (- (+ y 0.5)) (log y) y)

series385.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
47.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
290.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	305	659
1	941	532
2	5001	525

prune205.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.2b	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

20.0ms	(* (log (cbrt y)) (+ y 0.5))
6.0ms	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

471.0ms	(* (log (cbrt y)) (+ y 0.5))
144.0ms	(- (fma (- (+ y 0.5)) (* 2 (log (cbrt y))) x) (* (log (cbrt y)) (+ y 0.5)))
193.0ms	(cbrt y)
201.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	334	658
1	1322	596
2	5002	567

prune367.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- (+ y 0.5)) (log (cbrt y)) (fma (* 2/3 (log y)) (- (+ y 0.5)) x))
0.4b	(* 2/3 (log y))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

0.0ms	(fma (- (+ y 0.5)) (log (cbrt y)) (fma (* 2/3 (log y)) (- (+ y 0.5)) x))
9.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series672.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(fma (- (+ y 0.5)) (log (cbrt y)) (fma (* 2/3 (log y)) (- (+ y 0.5)) x))
155.0ms	(* 2/3 (log y))
193.0ms	(cbrt y)
200.0ms	(cbrt y)

simplify122.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	268	393
1	904	335
2	3926	322
3	5001	319

prune336.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	16	6
2	16	6

end0.0ms

sample939.0ms

Algorithm

intervals

Results

279.0ms	8036×	body	80	valid
210.0ms	8060×	body	80	nan
0.0ms	2×	body	640	valid