Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	285×	body	80	nan
8.0ms	256×	body	80	valid

simplify147.0ms

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))

rewrite89.0ms

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:

60.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
12.0ms	(* (+ y 0.5) (log y))

series383.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
45.0ms	(- x (* (+ y 0.5) (log y)))
44.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
240.0ms	(* (+ y 0.5) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

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

prune240.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
15×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
7×	`pow1`
6×	`add-exp-log` `add-cube-cbrt` `diff-log` `add-cbrt-cube`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`distribute-rgt-in` `associate-+r-` `associate-+r+` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `associate--r+` `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 → 73

Calls

4 calls:

50.0ms	(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
6.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
11.0ms	(* (log y) (+ 0.5 y))
2.0ms	(- y (* (log y) (+ 0.5 y)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (+ x (- y (* (log y) (+ 0.5 y)))) z)
44.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
257.0ms	(* (log y) (+ 0.5 y))
433.0ms	(- y (* (log y) (+ 0.5 y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	400	561
1	1619	527
2	5001	525

prune206.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
0.0b	(- y (* 0.5 (log y)))
0.2b	(- (- y (* 0.5 (log y))) (* (log y) y))
0.3b	(* (log y) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
3.0ms	(- y (* 0.5 (log y)))
12.0ms	(- (- y (* 0.5 (log y))) (* (log y) y))
4.0ms	(* (log y) y)

series882.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (- (- y (* 0.5 (log y))) (* (log y) y)))
204.0ms	(- y (* 0.5 (log y)))
447.0ms	(- (- y (* 0.5 (log y))) (* (log y) y))
185.0ms	(* (log y) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	357	532
1	1366	482
2	5002	461

prune221.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite14.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series949.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt y) (cbrt y))
186.0ms	(cbrt y)
177.0ms	(cbrt y)
380.0ms	(cbrt y)

simplify94.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (89.0ms)

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

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes100.0ms

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	8
1	14	8

end0.0ms

sample805.0ms

Algorithm

intervals

Results

267.0ms	8043×	body	80	valid
208.0ms	8094×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid