Details

analyze908.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 2.43188%

Guaranteed chance to sample good point: 85.601849%

sample43.0ms

Algorithm

intervals

Results

12.0ms	26×	body	1280	valid
9.0ms	174×	body	80	valid
6.0ms	27×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	1×	body	640	invalid
0.0ms	2×	body	160	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

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: 2.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.5b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series30.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5002	420

prune105.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
1.9b	(* x (/ (/ (sin y) y) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
17.0ms	(* x (/ (/ (sin y) y) z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune152.0ms

Filtered

136 candidates to 171 candidates (-25.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	170	9	179

Merged error: 0b

Counts

179 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ z (/ (sin y) y))
0.1b	(/ (sin y) y)
1.9b	(/ x (/ z (/ (sin y) y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

6.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
12.0ms	(/ x (/ z (/ (sin y) y)))

series32.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ z (/ (sin y) y))
4.0ms	(/ (sin y) y)
16.0ms	(/ x (/ z (/ (sin y) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1110	2950
1	5001	2830

prune237.0ms

Filtered

258 candidates to 302 candidates (-17.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	5	2	7
Picked	0	1	1
Done	0	1	1
Total	305	6	311

Merged error: 0b

Counts

311 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1 (/ (sin y) y))
0.1b	(/ (sin y) y)
2.0b	(/ (/ x z) (/ 1 (/ (sin y) y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`times-frac`
858×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
108×	`div-inv`
61×	`add-exp-log`
60×	`associate-/r*`
43×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv` `associate-/l*`
16×	`associate-/r/`
6×	`rec-exp` `1-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 764

Calls

3 calls:

6.0ms	(/ 1 (/ (sin y) y))
4.0ms	(/ (sin y) y)
24.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ 1 (/ (sin y) y))
4.0ms	(/ (sin y) y)
24.0ms	(/ (/ x z) (/ 1 (/ (sin y) y)))

simplify164.0ms

Algorithm

egg-herbie

Counts

773 → 773

Iterations

Useful iterations: 1 (64.0ms)

Iter	Nodes	Cost
0	3816	10779
1	5001	10086

prune637.0ms

Filtered

452 candidates to 773 candidates (-71.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	773	0	773
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	773	6	779

Merged error: 0b

Counts

779 → 6

Details

analyze908.0ms

sample43.0ms

simplify10.0ms

prune3.0ms

localize7.0ms

rewrite19.0ms

series30.0ms

simplify45.0ms

prune105.0ms

localize7.0ms

rewrite34.0ms

series26.0ms

simplify70.0ms

prune152.0ms

localize7.0ms

rewrite41.0ms

series32.0ms

simplify57.0ms

prune237.0ms

localize8.0ms

rewrite101.0ms

series34.0ms

simplify164.0ms

prune637.0ms

regimes279.0ms

bsearch0.0ms

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