Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample19.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	14
1	57	14

prune8.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
41×	`times-frac`
26×	`associate-r`
24×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`associate-l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--`

Counts

2 → 91

Calls

2 calls:

12.0ms	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms	(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5008	1757

prune146.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 6.0 (- x 1.0))
0.1b	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(* 6.0 (- x 1.0))
10.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 6.0 (- x 1.0))
8.0ms	(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5153	711

prune76.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.2b	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.2b	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- x 1.0))
4.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
4.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
4.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (- x 1.0))
14.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
14.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
14.0ms	(cbrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4948	1538
1	4948	1538

prune276.0ms

Filtered

61 candidates to 69 candidates (-13.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt x) (sqrt 1.0))
0.1b	(* (* (+ (sqrt x) (sqrt 1.0)) 6.0) (/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.2b	(* (+ (sqrt x) (sqrt 1.0)) 6.0)
0.2b	(/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt` `*-un-lft-identity`
72×	`times-frac`
62×	`sqrt-prod`
45×	`associate-r`
40×	`difference-of-squares`
35×	`add-cube-cbrt`
21×	`distribute-lft-out`
20×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
11×	`pow1`
9×	`associate-/l*`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `flip-+`
4×	`pow-prod-down` `associate-/r*` `associate-/r/`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `flip3--` `*-commutative` `flip--` `div-inv` `associate-/l/`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-*r/` `clear-num` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

5.0ms	(- (sqrt x) (sqrt 1.0))
21.0ms	(* (* (+ (sqrt x) (sqrt 1.0)) 6.0) (/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
9.0ms	(* (+ (sqrt x) (sqrt 1.0)) 6.0)
10.0ms	(/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- (sqrt x) (sqrt 1.0))
37.0ms	(* (* (+ (sqrt x) (sqrt 1.0)) 6.0) (/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
5.0ms	(* (+ (sqrt x) (sqrt 1.0)) 6.0)
15.0ms	(/ (- (sqrt x) (sqrt 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4990	3881
1	4990	3881

prune280.0ms

Filtered

104 candidates to 183 candidates (-76.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	183	3	186

Merged error: 0b

Counts

186 → 3

regimes62.0ms

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	14
1	15	14

end0.0ms

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample400.0ms

Algorithm

intervals

Results

312.0ms	8000×	body	80	valid
0.0ms	1×	body	80	nan

Details

analyze3.0ms

sample19.0ms

simplify4.0ms

prune8.0ms

localize9.0ms

rewrite24.0ms

series16.0ms

simplify45.0ms

prune146.0ms

localize10.0ms

rewrite18.0ms

series12.0ms

simplify52.0ms

prune76.0ms

localize17.0ms

rewrite16.0ms

series50.0ms

simplify32.0ms

prune276.0ms

localize11.0ms

rewrite54.0ms

series61.0ms

simplify52.0ms

prune280.0ms

regimes62.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample400.0ms

Profiling