Details

analyze393.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	223×	body	80	valid
2.0ms	14×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	4×	body	320	valid
1.0ms	8×	body	160	valid
1.0ms	15×	body	80	invalid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

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)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
10×	`associate-*r/`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`flip3--` `associate-l` `flip--` `add-log-exp`
7×	`add-cube-cbrt` `associate-r`
5×	`difference-of-squares`
4×	`frac-times` `associate-+r+` `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 → 86

Calls

4 calls:

12.0ms	(* 6.0 (- (/ 2.0 3.0) z))
7.0ms	(- (/ 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)))

series29.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 6.0 (- (/ 2.0 3.0) z))
2.0ms	(- (/ 2.0 3.0) z)
14.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
10.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify26.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune146.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0.0b

Counts

100 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
0.0b	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
0.2b	(* (- y x) (* 6.0 (neg z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

11.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
11.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
8.0ms	(* (- y x) (* 6.0 (neg z)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
16.0ms	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
8.0ms	(* (- y x) (* 6.0 (neg z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5041	1170

prune105.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

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))

rewrite33.0ms

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×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `times-frac` `associate-r/` `-commutative`
1×	`+-commutative` `flip3-+` `diff-log` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

7.0ms	(- (/ 2.0 3.0) z)
5.0ms	(+ 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))

series31.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(- (/ 2.0 3.0) z)
15.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms	(* (- y x) 6.0)
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune117.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.5b	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

rewrite19.0ms

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:

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

series507.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
94.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
94.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
223.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))

simplify37.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5094	2901

prune297.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

regimes424.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	321	19
1	321	19

end0.0ms

sample545.0ms

Algorithm

intervals

Results

262.0ms	7273×	body	80	valid
36.0ms	275×	body	640	valid
28.0ms	155×	body	1280	valid
21.0ms	586×	body	80	invalid
18.0ms	178×	body	320	valid
8.0ms	119×	body	160	valid

Details

analyze393.0ms

sample22.0ms

simplify194.0ms

prune9.0ms

localize8.0ms

rewrite40.0ms

series29.0ms

simplify26.0ms

prune146.0ms

localize11.0ms

rewrite32.0ms

series37.0ms

simplify42.0ms

prune105.0ms

localize8.0ms

rewrite33.0ms

series31.0ms

simplify49.0ms

prune117.0ms

localize13.0ms

rewrite19.0ms

series507.0ms

simplify37.0ms

prune297.0ms

regimes424.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample545.0ms

Profiling