Details

analyze413.0ms

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	229×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	29×	body	80	invalid
1.0ms	9×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

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)
0.0b	(* 6.0 (- (/ 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)))

rewrite39.0ms

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)
12.0ms	(* 6.0 (- (/ 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:

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

simplify25.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5487	1214

prune149.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

10.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
4.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
7.0ms	(* (- y x) (* 6.0 (neg z)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (+ x (* (- y x) (* 6.0 (/ 2.0 3.0)))) (* (- y x) (* 6.0 (neg z))))
5.0ms	(+ x (* (- y x) (* 6.0 (/ 2.0 3.0))))
7.0ms	(* (- y x) (* 6.0 (neg z)))

simplify24.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4996	1025
1	4996	1025

prune105.0ms

Filtered

44 candidates to 61 candidates (-38.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	58	10	68

Merged error: 0.0b

Counts

68 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
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)
6.0ms	(* (- y x) 6.0)
4.0ms	(+ 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:

2.0ms	(- (/ 2.0 3.0) z)
4.0ms	(* (- y x) 6.0)
14.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
9.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4988	1087
1	4988	1087

prune127.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	92	10	102

Merged error: 0.0b

Counts

102 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.2b	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.2b	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
0.8b	(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
9.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
7.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
6.0ms	(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
9.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
9.0ms	(cbrt (* 6.0 (- (/ 2.0 3.0) z)))
12.0ms	(* (cbrt (* 6.0 (- (/ 2.0 3.0) z))) (cbrt (* 6.0 (- (/ 2.0 3.0) z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5552	1294

prune184.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

regimes416.0ms

Accuracy

0% (0.1b 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

sample559.0ms

Algorithm

intervals

Results

264.0ms	7251×	body	80	valid
35.0ms	268×	body	640	valid
26.0ms	160×	body	1280	valid
24.0ms	617×	body	80	invalid
18.0ms	185×	body	320	valid
9.0ms	136×	body	160	valid

Details

analyze413.0ms

sample22.0ms

simplify197.0ms

prune10.0ms

localize9.0ms

rewrite39.0ms

series26.0ms

simplify25.0ms

prune149.0ms

localize12.0ms

rewrite22.0ms

series24.0ms

simplify24.0ms

prune105.0ms

localize9.0ms

rewrite33.0ms

series29.0ms

simplify48.0ms

prune127.0ms

localize14.0ms

rewrite32.0ms

series39.0ms

simplify41.0ms

prune184.0ms

regimes416.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample559.0ms

Profiling