Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
8.0ms	297×	body	80	nan

simplify146.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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:

3.0ms	(- x (* (+ y 0.5) (log y)))
53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series355.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
40.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
231.0ms	(* (+ y 0.5) (log y))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

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

prune257.0ms

Filtered

93 candidates to 69 candidates (74.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

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:

43.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
24.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
6.0ms	(- (* (+ y 0.5) (log y)) y)
10.0ms	(* (+ y 0.5) (log y))

series730.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- x (+ (- (* (+ y 0.5) (log y)) y) z))
53.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
399.0ms	(- (* (+ y 0.5) (log y)) y)
229.0ms	(* (+ y 0.5) (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	461	673
1	1675	630
2	5003	618

prune240.0ms

Filtered

99 candidates to 74 candidates (74.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`add-log-exp`
18×	`log-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `associate--l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+l+` `sum-log`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-r` `associate-l`
3×	`flip3-+` `diff-log` `neg-log` `flip-+`
2×	`+-commutative` `sub-neg` `distribute-rgt-neg-in` `associate-*l/`
1×	`neg-sub0` `associate-+l-` `associate-+r-` `associate-+r+` `distribute-neg-in` `flip3--` `unsub-neg` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

84.0ms	(+ x (- (+ (- (* (+ y 0.5) (log y)) y) z)))
28.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
6.0ms	(- (* (+ y 0.5) (log y)) y)
10.0ms	(* (+ y 0.5) (log y))

series792.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (- (+ (- (* (+ y 0.5) (log y)) y) z)))
55.0ms	(+ (- (* (+ y 0.5) (log y)) y) z)
447.0ms	(- (* (+ y 0.5) (log y)) y)
240.0ms	(* (+ y 0.5) (log y))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	485	684
1	1959	624
2	5003	612

prune252.0ms

Filtered

101 candidates to 74 candidates (73.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

60.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (+ (- (* (log (sqrt y)) (+ y 0.5)) y) z))
8.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
10.0ms	(* (log (sqrt y)) (+ y 0.5))
10.0ms	(* (log (sqrt y)) (+ y 0.5))

series476.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (* (log (sqrt y)) (+ y 0.5)) (+ (- (* (log (sqrt y)) (+ y 0.5)) y) z))
145.0ms	(- (* (log (sqrt y)) (+ y 0.5)) y)
84.0ms	(* (log (sqrt y)) (+ y 0.5))
85.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	532	973
1	2195	902
2	5002	893

prune290.0ms

Filtered

99 candidates to 74 candidates (74.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes82.0ms

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	18	7
1	19	7
2	19	7

end0.0ms

sample877.0ms

Algorithm

intervals

Results

288.0ms	8033×	body	80	valid
231.0ms	7949×	body	80	nan
0.0ms	1×	body	640	valid