Details

analyze402.0ms

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

sample44.0ms

Algorithm

intervals

Results

8.0ms	235×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid

simplify190.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (189.0ms)

Iter	Nodes	Cost
0	4926	13
1	4926	13

prune10.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

7.0ms	(- (/ 2.0 3.0) z)
7.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms	(* 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:

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

simplify25.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5487	1214

prune134.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
0.1b	(+ x (+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z)))))
0.2b	(* (- y x) (* 6.0 (neg z)))

rewrite33.0ms

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:

12.0ms	(+ (* (- 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)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* (- y x) (* 6.0 (/ 2.0 3.0))) (* (- y x) (* 6.0 (neg z))))
14.0ms	(+ 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 (34.0ms)

Iter	Nodes	Cost
0	5041	1170

prune100.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

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))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune120.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b	(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:

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

series489.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
90.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
92.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
93.0ms	(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5094	2901

prune298.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	96	10	106

Merged error: 0.0b

Counts

106 → 10

regimes459.0ms

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

sample1.0s

Algorithm

intervals

Results

240.0ms	7267×	body	80	valid
36.0ms	272×	body	640	valid
25.0ms	135×	body	1280	valid
19.0ms	198×	body	320	valid
8.0ms	128×	body	160	valid

Details

analyze402.0ms

sample44.0ms

simplify190.0ms

prune10.0ms

localize9.0ms

rewrite38.0ms

series26.0ms

simplify25.0ms

prune134.0ms

localize12.0ms

rewrite33.0ms

series34.0ms

simplify42.0ms

prune100.0ms

localize9.0ms

rewrite32.0ms

series31.0ms

simplify54.0ms

prune120.0ms

localize15.0ms

rewrite19.0ms

series489.0ms

simplify39.0ms

prune298.0ms

regimes459.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample1.0s

Profiling