Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	266×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series126.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
58.0ms	(- (* x (log y)) z)
36.0ms	(* x (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
0.3b	(* x (log (sqrt y)))
0.3b	(* x (log (sqrt y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

2.0ms	(log (sqrt y))
7.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt y))
94.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
84.0ms	(* x (log (sqrt y)))
87.0ms	(* x (log (sqrt y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	303	755
1	1056	648
2	4521	622
3	5001	622

prune258.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt y))
0.1b	(sqrt (sqrt y))
0.3b	(* x (log (sqrt y)))
0.3b	(* x (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-r`
37×	`log-pow`
36×	`pow1`
33×	`sqrt-pow1`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `sqrt-prod`
20×	`add-cube-cbrt`
17×	`pow1/2`
14×	`distribute-rgt-out`
12×	`log-prod`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`rem-sqrt-square` `add-log-exp`
2×	`distribute-lft1-in` `associate-r/` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `count-2` `flip-+`

Counts

4 → 122

Calls

4 calls:

2.0ms	(sqrt (sqrt y))
2.0ms	(sqrt (sqrt y))
5.0ms	(* x (log (sqrt y)))
15.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt (sqrt y))
127.0ms	(sqrt (sqrt y))
85.0ms	(* x (log (sqrt y)))
133.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	424	700
1	1783	548
2	5001	523

prune368.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt (sqrt y)))))
0.3b	(* x (log (cbrt (sqrt y))))
0.5b	(cbrt (sqrt y))
0.5b	(cbrt (sqrt y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 120

Calls

4 calls:

8.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
6.0ms	(* x (log (cbrt (sqrt y))))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series532.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* x (* 2 (log (cbrt (sqrt y)))))
120.0ms	(* x (log (cbrt (sqrt y))))
147.0ms	(cbrt (sqrt y))
146.0ms	(cbrt (sqrt y))

simplify48.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	395	1060
1	1413	970
2	5002	938

prune395.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes101.0ms

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	27	21
1	27	21

end0.0ms

sample750.0ms

Algorithm

intervals

Results

234.0ms	8022×	body	80	valid
178.0ms	7977×	body	80	nan
1.0ms	2×	body	1280	valid