Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	258×	body	80	valid
9.0ms	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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite35.0ms

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:

24.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(- (- (* x (log y)) z) y)
54.0ms	(- (* x (log y)) z)
43.0ms	(* x (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

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

prune207.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
0.0b	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

88.0ms	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
9.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
4.0ms	(* (log (sqrt y)) x)
4.0ms	(* (log (sqrt y)) x)

series442.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
127.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
113.0ms	(* (log (sqrt y)) x)
120.0ms	(* (log (sqrt y)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	409	988
1	1523	751
2	5002	721

prune281.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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×	`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:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series737.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
181.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune306.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(pow (cbrt (cbrt y)) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
3.0ms	(pow (cbrt (cbrt y)) 4)

series855.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
183.0ms	(cbrt y)
177.0ms	(cbrt y)
307.0ms	(pow (cbrt (cbrt y)) 4)

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	139	282
1	377	262
2	1373	250
3	5001	239

prune306.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes90.0ms

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	11	9
1	11	9

end0.0ms

sample929.0ms

Algorithm

intervals

Results

399.0ms	8032×	body	80	valid
199.0ms	8178×	body	80	nan
1.0ms	1×	body	640	valid