Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	260×	body	80	nan

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite162.0ms

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:

111.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(- x (* (+ y 0.5) (log y)))
19.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
24.0ms	(* (+ y 0.5) (log y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
33.0ms	(- x (* (+ y 0.5) (log y)))
43.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
226.0ms	(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

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

prune219.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y) z)
0.0b	(- (- x (* y (log 1))) (* (log y) (+ y 0.5)))
0.1b	(+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y)
0.1b	(* (log y) (+ y 0.5))

rewrite600.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

465.0ms	(- (+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y) z)
27.0ms	(- (- x (* y (log 1))) (* (log y) (+ y 0.5)))
87.0ms	(+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y)
19.0ms	(* (log y) (+ y 0.5))

series362.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y) z)
34.0ms	(- (- x (* y (log 1))) (* (log y) (+ y 0.5)))
39.0ms	(+ (- (- x (* y (log 1))) (* (log y) (+ y 0.5))) y)
236.0ms	(* (log y) (+ y 0.5))

simplify67.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	568	947
1	2289	889
2	5002	835

prune259.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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)

rewrite15.0ms

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:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series705.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
174.0ms	(cbrt y)
171.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

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

prune288.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(pow y 1/3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series714.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt y) (cbrt y))
171.0ms	(cbrt y)
166.0ms	(cbrt y)
192.0ms	(pow y 1/3)

simplify141.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4922	194
3	5003	194

prune286.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample889.0ms

Algorithm

intervals

Results

253.0ms	8041×	body	80	valid
196.0ms	8119×	body	80	nan