Details

sample64.0ms

Algorithm

intervals

Results

20.0ms	586×	body	80	valid
15.0ms	603×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	17	5
1	37	5
2	71	4
3	105	4
4	219	4
5	708	4
6	2137	4
7	5001	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

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

series249.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(exp (- (+ x (* y (log y))) z))
48.0ms	(+ x (* y (log y)))
172.0ms	(* y (log y))

simplify120.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	297	540
1	902	427
2	3604	373
3	5001	369

prune209.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	1	89

Merged error: 0b

Counts

89 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (log y)))
0.3b	(* y (log y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* y (log y)))
5.0ms	(* y (log y))

series221.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (* y (log y)))
178.0ms	(* y (log y))

simplify68.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	188	231
1	626	202
2	2239	189
3	5001	181

prune125.0ms

Filtered

55 candidates to 38 candidates (69.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	1	56

Merged error: 0b

Counts

56 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	15	5
2	15	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

666.0ms	18856×	body	80	valid
516.0ms	19368×	body	80	nan