Details

sample28.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	297×	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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
17×	`associate--l+`
16×	`add-cube-cbrt`
12×	`log-prod` `prod-diff`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`fma-neg` `diff-log` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 68

Calls

2 calls:

26.0ms	(- (- (* x (log y)) z) y)
4.0ms	(* x (log y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (- (* x (log y)) z) y)
38.0ms	(* x (log y))

simplify137.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	302	480
1	1071	361
2	4460	338
3	5001	311

prune141.0ms

Pruning

3 alts after pruning (3 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	(log (sqrt y))
0.3b	(* x (log (sqrt y)))
0.3b	(* x (log (sqrt y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
16×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `log-pow`
10×	`add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

2.0ms	(log (sqrt y))
1.0ms	(log (sqrt y))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(log (sqrt y))
64.0ms	(log (sqrt y))
87.0ms	(* x (log (sqrt y)))
103.0ms	(* x (log (sqrt y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	213	654
1	739	584
2	3147	554
3	5002	550

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (sqrt y)))
0.3b	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
30×	`cbrt-prod`
25×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`sqrt-prod`
18×	`associate-+l+`
15×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `associate-+r+`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u`
3×	`associate-l`
2×	`distribute-rgt-out` `pow1/3`
1×	`+-commutative` `fma-def` `distribute-lft1-in` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

5.0ms	(* x (log (sqrt y)))
8.0ms	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series632.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (sqrt y)))
231.0ms	(+ (* 2 (log (cbrt (sqrt y)))) (log (cbrt (sqrt y))))
147.0ms	(cbrt (sqrt y))
164.0ms	(cbrt (sqrt y))

simplify44.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	413	782
1	1276	702
2	5001	659

prune445.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y)))))
0.3b	(+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y))))
0.6b	(cbrt (sqrt y))
4.0b	(pow (sqrt y) 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

29×	`log-prod`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
18×	`unpow-prod-down`
15×	`sqrt-prod`
12×	`cbrt-prod`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-+r+`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-r` `associate-l` `sqr-pow`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-to-exp` `fma-def` `sqrt-pow1` `pow1/2` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `sqrt-pow2` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

13.0ms	(* x (+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y)))))
9.0ms	(+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y))))
1.0ms	(cbrt (sqrt y))
2.0ms	(pow (sqrt y) 1/3)

series719.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(* x (+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y)))))
197.0ms	(+ (* 2 (log (pow (sqrt y) 1/3))) (log (cbrt (sqrt y))))
148.0ms	(cbrt (sqrt y))
111.0ms	(pow (sqrt y) 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	608	983
1	2338	829
2	5002	734

prune484.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

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	10	9
1	10	9

end0.0ms

sample733.0ms

Algorithm

intervals

Results

229.0ms	8035×	body	80	valid
180.0ms	8247×	body	80	nan
0.0ms	1×	body	640	valid