Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
11.0ms	265×	body	80	nan
0.0ms	1×	body	320	valid

simplify172.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite80.0ms

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:

52.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
3.0ms	(- x (* (+ y 0.5) (log y)))
12.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series408.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
40.0ms	(- x (* (+ y 0.5) (log y)))
45.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
259.0ms	(* (+ y 0.5) (log y))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

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

prune277.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

29.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
43.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
10.0ms	(* (+ y 0.5) (log y))
6.0ms	(- (* (+ y 0.5) (log y)) y)

series781.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
49.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
245.0ms	(* (+ y 0.5) (log y))
434.0ms	(- (* (+ y 0.5) (log y)) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	461	673
1	1673	630
2	5001	618

prune260.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
16.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (log (sqrt y)) (+ y 0.5)) y))
11.0ms	(* (log (sqrt y)) (+ y 0.5))
11.0ms	(* (log (sqrt y)) (+ y 0.5))

series506.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
182.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (- (* (log (sqrt y)) (+ y 0.5)) y))
86.0ms	(* (log (sqrt y)) (+ y 0.5))
91.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify67.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	481	932
1	2055	849
2	5001	830

prune310.0ms

Pruning

8 alts after pruning (6 fresh and 2 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)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series728.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
175.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify85.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (80.0ms)

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

prune274.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes147.0ms

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

sample1.2s

Algorithm

intervals

Results

504.0ms	8025×	body	80	valid
321.0ms	8174×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid