Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

328×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	50	6
2	124	4
3	280	4
4	534	4
5	869	4
6	1397	4
7	3521	4
8	5001	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
0.0b	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-def` `times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `associate-*r/` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

5.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
9.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series62.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
37.0ms	(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify31.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	265	349
1	1079	306
2	5002	297

prune94.0ms

Filtered

48 candidates to 38 candidates (79.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	49	1	50

Merged error: 0b

Counts

50 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 4.0 (/ z y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(* 4.0 (/ z y))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(* 4.0 (/ z y))

simplify63.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	139
1	729	124
2	2966	124
3	5001	124

prune63.0ms

Filtered

37 candidates to 26 candidates (70.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	1	38

Merged error: 0b

Counts

38 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample494.0ms

Algorithm

intervals

Results

296.0ms

10162×

body

valid