Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
5.0ms	266×	body	80	nan

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	51	4
3	65	4
4	97	4
5	120	4
6	159	4
7	257	4
8	322	4
9	322	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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
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 → 92

Calls

3 calls:

8.0ms	(- (- (* x (log y)) z) y)
5.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series123.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	365	609
1	1312	480
2	5001	447

prune192.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`log-prod` `*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`prod-diff`
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×	`fma-neg` `associate-l`
4×	`expm1-log1p-u` `distribute-rgt-out` `count-2` `log1p-expm1-u` `distribute-lft-out`
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 → 131

Calls

4 calls:

2.0ms	(log (sqrt y))
8.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
5.0ms	(* x (log (sqrt y)))
8.0ms	(* x (log (sqrt y)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (sqrt y))
95.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
83.0ms	(* x (log (sqrt y)))
85.0ms	(* x (log (sqrt y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	391	1143
1	1403	877
2	5001	847

prune310.0ms

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×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `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 → 130

Calls

4 calls:

2.0ms	(sqrt (sqrt y))
2.0ms	(sqrt (sqrt y))
5.0ms	(* x (log (sqrt y)))
14.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (sqrt y))
130.0ms	(sqrt (sqrt y))
85.0ms	(* x (log (sqrt y)))
132.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	440	735
1	1854	576
2	5001	561

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series724.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt y) (cbrt y))
175.0ms	(cbrt y)
179.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune416.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes83.0ms

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	22
1	27	22

end0.0ms

sample704.0ms

Algorithm

intervals

Results

229.0ms	8022×	body	80	valid
167.0ms	7977×	body	80	nan
1.0ms	2×	body	1280	valid