Details

analyze453.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.631761%

Guaranteed chance to sample good point: 85.334813%

sample13.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (+ z x)))
0.0b	(* y (+ z x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune38.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
1.6b	(- (* z z) (* x x))
9.4b	(* y (- (* z z) (* x x)))
20.1b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
3.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series59.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
6.0ms	(- (* z z) (* x x))
15.0ms	(* y (- (* z z) (* x x)))
22.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	372	639
1	1847	557
2	5002	519

prune72.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Merged error: 0b

Counts

94 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (* x x) (* z x))
2.9b	(+ (pow z 3) (pow x 3))
7.2b	(* y (+ (pow z 3) (pow x 3)))
36.0b	(/ (* y (+ (pow z 3) (pow x 3))) (+ (* z z) (- (* x x) (* z x))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

3.0ms	(- (* x x) (* z x))
11.0ms	(+ (pow z 3) (pow x 3))
14.0ms	(* y (+ (pow z 3) (pow x 3)))
18.0ms	(/ (* y (+ (pow z 3) (pow x 3))) (+ (* z z) (- (* x x) (* z x))))

series73.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* x x) (* z x))
8.0ms	(+ (pow z 3) (pow x 3))
19.0ms	(* y (+ (pow z 3) (pow x 3)))
41.0ms	(/ (* y (+ (pow z 3) (pow x 3))) (+ (* z z) (- (* x x) (* z x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	390	676
1	2086	577
2	5003	570

prune119.0ms

Filtered

61 candidates to 95 candidates (-55.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes167.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

analyze455.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.631761%

Guaranteed chance to sample good point: 85.334813%

sample325.0ms

Algorithm

intervals

Results

169.0ms	8000×	body	80	valid
7.0ms	372×	body	80	invalid

Details

analyze453.0ms

sample13.0ms

simplify114.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series13.0ms

simplify90.0ms

prune38.0ms

localize8.0ms

rewrite27.0ms

series59.0ms

simplify51.0ms

prune72.0ms

localize16.0ms

rewrite49.0ms

series73.0ms

simplify62.0ms

prune119.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze455.0ms

sample325.0ms

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