Details

sample835.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 49.703979%

Guaranteed chance to sample good point: 76.306049%

Results

12.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid
1.0ms	32×	body	80	nan

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5

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: 23.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.0b	(- (* y y) (* z z))
22.6b	(sqrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

7.0ms	(* x (sqrt (- (* y y) (* z z))))
3.0ms	(- (* y y) (* z z))
4.0ms	(sqrt (- (* y y) (* z z)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* x (sqrt (- (* y y) (* z z))))
5.0ms	(- (* y y) (* z z))
7.0ms	(sqrt (- (* y y) (* z z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	188	364
1	742	340
2	3019	337
3	5001	337

prune78.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.2b

Counts

64 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (sqrt (* (+ y z) (- y z))))
22.6b	(sqrt (* (+ y z) (- y z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`associate-*r/`
8×	`frac-times`
7×	`pow1`
6×	`add-sqr-sqrt` `flip3--` `flip3-+` `flip--` `flip-+`
4×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l/` `add-cbrt-cube`
3×	`associate-l`
2×	`sqrt-pow1` `pow-prod-down` `sqrt-prod` `add-log-exp`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

10.0ms	(* x (sqrt (* (+ y z) (- y z))))
6.0ms	(sqrt (* (+ y z) (- y z)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* x (sqrt (* (+ y z) (- y z))))
8.0ms	(sqrt (* (+ y z) (- y z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	342
1	891	329
2	3716	329
3	5001	329

prune63.0ms

Filtered

41 candidates to 52 candidates (-26.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0.2b

Counts

57 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* y y) (* z z))
2.0b	(- (* y y) (* z z))
23.4b	(cbrt (- (* y y) (* z z)))
23.4b	(cbrt (- (* y y) (* z z)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `pow1/3` `diff-log`

Counts

4 → 54

Calls

4 calls:

3.0ms	(- (* y y) (* z z))
3.0ms	(- (* y y) (* z z))
3.0ms	(cbrt (- (* y y) (* z z)))
3.0ms	(cbrt (- (* y y) (* z z)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* y y) (* z z))
5.0ms	(- (* y y) (* z z))
21.0ms	(cbrt (- (* y y) (* z z)))
21.0ms	(cbrt (- (* y y) (* z z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	179	454
1	584	414
2	1910	402
3	5002	386

prune84.0ms

Filtered

52 candidates to 66 candidates (-26.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Merged error: 0.2b

Counts

71 → 5

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 0.2b

Counts

5 → 5

Details

sample835.0ms

simplify96.0ms

prune3.0ms

localize7.0ms

rewrite15.0ms

series30.0ms

simplify81.0ms

prune78.0ms

localize7.0ms

rewrite19.0ms

series26.0ms

simplify88.0ms

prune63.0ms

localize13.0ms

rewrite14.0ms

series53.0ms

simplify57.0ms

prune84.0ms

localize3.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes496.0ms

bsearch16.0ms

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