Details

analyze281.0ms

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	31×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

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:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (- 1.0 x) y)
8.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify49.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4979	345
1	4979	345

prune45.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
10.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
7.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4956	1133
1	4956	1133

prune186.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	4	116

Merged error: 0.0b

Counts

116 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (+ (sqrt 1.0) (sqrt x))) (cbrt (- (sqrt 1.0) (sqrt x))))
0.2b	(cbrt (- 1.0 x))
0.2b	(cbrt (- 1.0 x))
0.2b	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
54×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
28×	`cbrt-div`
20×	`associate-r`
18×	`add-cube-cbrt`
16×	`associate-l`
13×	`pow1`
11×	`flip3--` `flip--`
10×	`pow1/3` `swap-sqr` `distribute-lft-out--` `difference-of-squares`
8×	`add-exp-log` `frac-times` `sqrt-prod` `unswap-sqr`
4×	`associate-r/` `pow-prod-down` `associate-l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `distribute-lft-out`
1×	`pow2` `pow-plus`

Counts

4 → 130

Calls

4 calls:

15.0ms	(* (cbrt (+ (sqrt 1.0) (sqrt x))) (cbrt (- (sqrt 1.0) (sqrt x))))
3.0ms	(cbrt (- 1.0 x))
3.0ms	(cbrt (- 1.0 x))
12.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (+ (sqrt 1.0) (sqrt x))) (cbrt (- (sqrt 1.0) (sqrt x))))
6.0ms	(cbrt (- 1.0 x))
6.0ms	(cbrt (- 1.0 x))
7.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5107	1874

prune346.0ms

Filtered

102 candidates to 142 candidates (-39.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	142	4	146

Merged error: 0.0b

Counts

146 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))
0.2b	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
38.0b	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (- 1.0 x) y)
6.0ms	(+ (* (- 1.0 x) y) (* x z))
8.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
7.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

series48.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 1.0 x) y)
8.0ms	(+ (* (- 1.0 x) y) (* x z))
28.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
8.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

simplify24.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5221	1172

prune92.0ms

Filtered

54 candidates to 93 candidates (-72.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

regimes189.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample592.0ms

Algorithm

intervals

Results

410.0ms	8000×	body	80	valid
18.0ms	675×	body	80	invalid

Details

analyze281.0ms

sample16.0ms

simplify15.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series12.0ms

simplify49.0ms

prune45.0ms

localize10.0ms

rewrite22.0ms

series25.0ms

simplify49.0ms

prune186.0ms

localize17.0ms

rewrite38.0ms

series46.0ms

simplify50.0ms

prune346.0ms

localize9.0ms

rewrite29.0ms

series48.0ms

simplify24.0ms

prune92.0ms

regimes189.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample592.0ms

Profiling