Details

analyze525.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.887733%

Guaranteed chance to sample good point: 85.600831%

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify85.0ms

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)

rewrite10.0ms

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* (- y x) z))
7.0ms	(* (- y x) z)

simplify70.0ms

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

prune49.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.3b	(* (* (- y x) z) (* (- y x) z))
3.8b	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
29.9b	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`pow-prod-down`
17×	`*-un-lft-identity`
16×	`associate-*l/`
15×	`add-cube-cbrt`
12×	`times-frac`
10×	`flip3--` `flip--`
9×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp` `difference-of-squares`
4×	`frac-times` `associate-r` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`pow-plus` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `pow2` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

6.0ms	(* (- y x) z)
13.0ms	(* (* (- y x) z) (* (- y x) z))
4.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
8.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y x) z)
12.0ms	(* (* (- y x) z) (* (- y x) z))
25.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
62.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	492	1128
1	2505	971
2	5003	953

prune101.0ms

Filtered

78 candidates to 125 candidates (-60.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	125	4	129

Merged error: 0b

Counts

129 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- y x))
3.0ms	(sqrt (- y x))
12.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))
9.0ms	(* (sqrt (- y x)) z)

series45.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- y x))
10.0ms	(sqrt (- y x))
7.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))
19.0ms	(* (sqrt (- y x)) z)

simplify111.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	299	580
1	1052	522
2	4373	516
3	5001	516

prune90.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* x (+ x y)) (pow y 2))
2.0b	(- (pow y 3) (pow x 3))
5.5b	(* (- (pow y 3) (pow x 3)) z)
35.4b	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

rewrite66.0ms

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` `associate-+l+` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

7.0ms	(+ (* x (+ x y)) (pow y 2))
12.0ms	(- (pow y 3) (pow x 3))
19.0ms	(* (- (pow y 3) (pow x 3)) z)
22.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* x (+ x y)) (pow y 2))
8.0ms	(- (pow y 3) (pow x 3))
14.0ms	(* (- (pow y 3) (pow x 3)) z)
23.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* x (+ x y)) (pow y 2)))

simplify69.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	419	926
1	1954	824
2	5002	824

prune196.0ms

Filtered

79 candidates to 126 candidates (-59.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	126	4	130

Merged error: 0b

Counts

130 → 4

regimes194.0ms

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

analyze519.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.887733%

Guaranteed chance to sample good point: 85.600831%

sample389.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
7.0ms	324×	body	80	invalid

Details

analyze525.0ms

sample15.0ms

simplify85.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series15.0ms

simplify70.0ms

prune49.0ms

localize10.0ms

rewrite35.0ms

series107.0ms

simplify84.0ms

prune101.0ms

localize7.0ms

rewrite32.0ms

series45.0ms

simplify111.0ms

prune90.0ms

localize16.0ms

rewrite66.0ms

series51.0ms

simplify69.0ms

prune196.0ms

regimes194.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze519.0ms

sample389.0ms

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