Details

sample20.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

6.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	750	3
11	1136	3
12	1818	3
13	5002	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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify62.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	162
1	556	145
2	2758	145
3	5001	145

prune41.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b	(* (- y x) (sqrt z))
0.2b	(* (* (- y x) (sqrt z)) (sqrt z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
6×	`associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 60

Calls

3 calls:

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

series29.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
9.0ms	(* (- y x) (sqrt z))
8.0ms	(* (* (- y x) (sqrt z)) (sqrt z))

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	316	411
1	1323	347
2	5001	337

prune72.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* x x) (* y x))
2.2b	(- (pow y 3) (pow x 3))
4.8b	(* (- (pow y 3) (pow x 3)) z)
37.7b	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

4.0ms	(+ (* x x) (* y x))
10.0ms	(- (pow y 3) (pow x 3))
15.0ms	(* (- (pow y 3) (pow x 3)) z)
18.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

series45.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x x) (* y x))
7.0ms	(- (pow y 3) (pow x 3))
13.0ms	(* (- (pow y 3) (pow x 3)) z)
20.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	448	918
1	2105	815
2	5003	809

prune165.0ms

Filtered

79 candidates to 125 candidates (-58.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	4	128

Merged error: 0b

Counts

128 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

1.4b	(* (- (pow y 3/2) (sqrt (pow x 3))) z)
8.0b	(/ (* (+ (pow y (/ 3 2)) (sqrt (pow x 3))) (* (- (pow y 3/2) (sqrt (pow x 3))) z)) (+ (* y y) (+ (* x x) (* y x))))
19.6b	(sqrt (pow x 3))
19.6b	(sqrt (pow x 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`sqrt-prod`
19×	`associate-l`
16×	`unpow-prod-down` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
14×	`add-cube-cbrt`
12×	`sqr-pow`
11×	`cube-prod`
10×	`associate-*l/`
8×	`rem-sqrt-square` `associate-/l/`
6×	`pow1`
4×	`frac-times` `flip3--` `flip3-+` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `associate-/r*`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `associate-*r/` `associate-/r/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

13.0ms	(* (- (pow y 3/2) (sqrt (pow x 3))) z)
28.0ms	(/ (* (+ (pow y (/ 3 2)) (sqrt (pow x 3))) (* (- (pow y 3/2) (sqrt (pow x 3))) z)) (+ (* y y) (+ (* x x) (* y x))))
4.0ms	(sqrt (pow x 3))
3.0ms	(sqrt (pow x 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- (pow y 3/2) (sqrt (pow x 3))) z)
117.0ms	(/ (* (+ (pow y (/ 3 2)) (sqrt (pow x 3))) (* (- (pow y 3/2) (sqrt (pow x 3))) z)) (+ (* y y) (+ (* x x) (* y x))))
3.0ms	(sqrt (pow x 3))
3.0ms	(sqrt (pow x 3))

simplify111.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	755	1224
1	4171	1009
2	5002	984

prune318.0ms

Filtered

95 candidates to 131 candidates (-37.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	131	4	135

Merged error: 0b

Counts

135 → 4

regimes196.0ms

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	8	3
1	8	3

end0.0ms

sample545.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

195.0ms	8000×	body	80	valid
52.0ms	2122×	body	80	invalid

Details

sample20.0ms

simplify74.0ms

prune3.0ms

localize5.0ms

rewrite9.0ms

series13.0ms

simplify62.0ms

prune41.0ms

localize7.0ms

rewrite20.0ms

series29.0ms

simplify39.0ms

prune72.0ms

localize26.0ms

rewrite53.0ms

series45.0ms

simplify63.0ms

prune165.0ms

localize24.0ms

rewrite53.0ms

series149.0ms

simplify111.0ms

prune318.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample545.0ms

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