Details

analyze393.0ms

Algorithm: search

sample20.0ms

Algorithm

intervals

Results

8.0ms	237×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	19×	body	80	invalid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	6
1	48	6
2	160	6
3	421	6
4	984	6
5	1956	6
6	3390	6
7	5001	6

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: 0.4b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
4.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series30.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
11.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	435	616
1	2060	564
2	5001	564

prune135.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 6.0 (- (/ 2.0 3.0) z))
0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

9.0ms	(* 6.0 (- (/ 2.0 3.0) z))
6.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
13.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
2.0ms	(- (/ 2.0 3.0) z)
12.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	437	708
1	1830	652
2	5001	652

prune130.0ms

Filtered

70 candidates to 109 candidates (-55.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
9.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series26.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- y x) 6.0)
14.0ms	(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
9.0ms	(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	396	465
1	1863	424
2	5003	424

prune103.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b	(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
2.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
8.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))

series474.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
89.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
88.0ms	(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
209.0ms	(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	461	1840
1	1625	1741
2	5001	1540

prune257.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

regimes292.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

analyze404.0ms

Algorithm: search

sample537.0ms

Algorithm

intervals

Results

267.0ms	7287×	body	80	valid
35.0ms	264×	body	640	valid
22.0ms	129×	body	1280	valid
21.0ms	599×	body	80	invalid
21.0ms	205×	body	320	valid
8.0ms	115×	body	160	valid

Details

analyze393.0ms

sample20.0ms

simplify122.0ms

prune3.0ms

localize8.0ms

rewrite32.0ms

series30.0ms

simplify56.0ms

prune135.0ms

localize10.0ms

rewrite35.0ms

series26.0ms

simplify54.0ms

prune130.0ms

localize7.0ms

rewrite20.0ms

series26.0ms

simplify53.0ms

prune103.0ms

localize15.0ms

rewrite16.0ms

series474.0ms

simplify52.0ms

prune257.0ms

regimes292.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze404.0ms

sample537.0ms

Profiling