Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
7.0ms	274×	body	80	nan

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `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 → 81

Calls

4 calls:

54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
8.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series362.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
35.0ms	(- x (* (+ y 0.5) (log y)))
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
233.0ms	(* (+ y 0.5) (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	446	640
1	1624	599
2	5001	591

prune211.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)) y))
0.1b	(- (* (+ y 0.5) (log y)) y)
0.1b	(* (+ y 0.5) (log y))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-log-exp`
18×	`add-sqr-sqrt` `log-prod`
15×	`associate--l+`
12×	`add-cube-cbrt`
10×	`diff-log`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate--r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `associate-l` `distribute-lft-out--`
3×	`flip3--` `flip--`
2×	`associate-*l/` `associate--r-` `difference-of-squares`
1×	`associate--l-` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

105.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
12.0ms	(- x (- (* (+ y 0.5) (log y)) y))
6.0ms	(- (* (+ y 0.5) (log y)) y)
10.0ms	(* (+ y 0.5) (log y))

series743.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- x (- (* (+ y 0.5) (log y)) y)) z)
46.0ms	(- x (- (* (+ y 0.5) (log y)) y))
413.0ms	(- (* (+ y 0.5) (log y)) y)
235.0ms	(* (+ y 0.5) (log y))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	440	702
1	1520	660
2	5001	648

prune240.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
16×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
6×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--r+`
5×	`add-exp-log` `flip3--` `diff-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `associate-l` `frac-add` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l+` `associate-+r+` `flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `associate-+l-` `associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 72

Calls

3 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
18.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
10.0ms	(* (+ y 0.5) (log y))

series329.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (* (+ y 0.5) (log y)))
55.0ms	(+ (- x (* (+ y 0.5) (log y))) (- y z))
239.0ms	(* (+ y 0.5) (log y))

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	502	653
1	1987	618
2	5001	610

prune194.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series735.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
181.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify90.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune271.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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	13	6
1	13	6

end0.0ms

sample831.0ms

Algorithm

intervals

Results

280.0ms	8044×	body	80	valid
212.0ms	8012×	body	80	nan