Details

analyze644.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 12.518409%

Guaranteed chance to sample good point: 80.10659%

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	42	3
3	61	3
4	86	3
5	97	3
6	388	3
7	2917	3
8	5001	3

prune3.0ms

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: 12.5b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.8b	(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

6.0ms	(* x (- y z))
6.0ms	(/ (* x (- y z)) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (- y z))
9.0ms	(/ (* x (- y z)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	219	218
1	1044	189
2	5001	189

prune72.0ms

Filtered

35 candidates to 55 candidates (-57.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.5b	(/ x (/ y (- y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

5.0ms	(/ y (- y z))
8.0ms	(/ x (/ y (- y z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (- y z))
10.0ms	(/ x (/ y (- y z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	472	1043
1	2220	1007
2	5001	1004

prune126.0ms

Filtered

108 candidates to 145 candidates (-34.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	141	4	145
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Merged error: 0b

Counts

153 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
2.7b	(* x (/ (- y z) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
19×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 76

Calls

2 calls:

6.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (- y z) y)
9.0ms	(* x (/ (- y z) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	264	396
1	1187	365
2	5001	364

prune75.0ms

Filtered

56 candidates to 82 candidates (-46.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 0b

Counts

90 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- y z))
0.3b	(/ 1 (/ (/ y (- y z)) x))
2.5b	(/ (/ y (- y z)) x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
439×	`add-sqr-sqrt` `*-un-lft-identity`
335×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`distribute-lft-out--` `difference-of-squares`
35×	`associate-/r/`
31×	`add-exp-log`
27×	`associate-/l*`
23×	`div-inv`
19×	`div-exp` `add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 435

Calls

3 calls:

5.0ms	(/ y (- y z))
20.0ms	(/ 1 (/ (/ y (- y z)) x))
9.0ms	(/ (/ y (- y z)) x)

series31.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ y (- y z))
14.0ms	(/ 1 (/ (/ y (- y z)) x))
11.0ms	(/ (/ y (- y z)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

444 → 444

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1404	4470
1	5001	3997

prune347.0ms

Filtered

279 candidates to 444 candidates (-59.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	443	1	444
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	444	8	452

Merged error: 0b

Counts

452 → 8

Details

analyze644.0ms

sample15.0ms

simplify64.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series17.0ms

simplify32.0ms

prune72.0ms

localize5.0ms

rewrite21.0ms

series15.0ms

simplify56.0ms

prune126.0ms

localize5.0ms

rewrite18.0ms

series14.0ms

simplify38.0ms

prune75.0ms

localize6.0ms

rewrite65.0ms

series31.0ms

simplify73.0ms

prune347.0ms

regimes201.0ms

bsearch0.0ms

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