Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	65×	body	1280	valid
5.0ms	44×	body	640	valid
4.0ms	123×	body	80	valid
2.0ms	17×	body	320	valid
0.0ms	7×	body	160	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	1001	13
1	1001	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 31.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- x 1.0))
0.0b	(/ x (+ x 1.0))
2.0b	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
52×	`times-frac`
45×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
18×	`distribute-lft-out` `distribute-lft-out--`
9×	`associate-/r*` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 104

Calls

3 calls:

8.0ms	(/ (+ x 1.0) (- x 1.0))
5.0ms	(/ x (+ x 1.0))
29.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (+ x 1.0) (- x 1.0))
3.0ms	(/ x (+ x 1.0))
7.0ms	(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4955	1412
1	4955	1412

prune162.0ms

Filtered

76 candidates to 113 candidates (-48.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Merged error: 0.2b

Counts

114 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (/ -1 x) (+ (/ 1.0 x) 3.0))
0.4b	(/ 3.0 (pow x 3))
6.0b	(- (* (/ -1 x) (+ (/ 1.0 x) 3.0)) (/ 3.0 (pow x 3)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
13×	`add-exp-log` `associate-l`
12×	`unpow-prod-down` `cube-prod` `associate-/r*`
10×	`add-cbrt-cube`
5×	`pow1` `frac-sub` `add-log-exp`
4×	`cube-mult` `frac-times` `flip3-+` `unpow3` `associate-r/` `div-exp` `associate-r*` `flip-+` `sqr-pow`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `*-commutative` `flip--` `distribute-lft-out`

Counts

3 → 123

Calls

3 calls:

11.0ms	(* (/ -1 x) (+ (/ 1.0 x) 3.0))
5.0ms	(/ 3.0 (pow x 3))
17.0ms	(- (* (/ -1 x) (+ (/ 1.0 x) 3.0)) (/ 3.0 (pow x 3)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (/ -1 x) (+ (/ 1.0 x) 3.0))
4.0ms	(/ 3.0 (pow x 3))
7.0ms	(- (* (/ -1 x) (+ (/ 1.0 x) 3.0)) (/ 3.0 (pow x 3)))

simplify38.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5221	1499

prune170.0ms

Filtered

85 candidates to 132 candidates (-55.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	132	4	136

Merged error: 0.0b

Counts

136 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (neg 3.0) (pow x 3)) (/ 3.0 x))
0.2b	(* (/ -1 x) (/ 1.0 x))
0.4b	(/ (neg 3.0) (pow x 3))
6.0b	(+ (* (/ -1 x) (/ 1.0 x)) (- (/ (neg 3.0) (pow x 3)) (/ 3.0 x)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
137×	`add-sqr-sqrt`
114×	`*-un-lft-identity`
94×	`add-cube-cbrt`
43×	`distribute-lft-neg-in`
42×	`distribute-rgt-neg-in`
35×	`unpow-prod-down` `cube-prod`
21×	`add-exp-log`
18×	`add-cbrt-cube`
17×	`unpow3`
15×	`neg-mul-1`
13×	`associate-r` `associate-l` `sqr-pow`
12×	`associate-/r*`
11×	`cube-mult` `add-log-exp`
10×	`associate-/l*` `difference-of-squares`
9×	`frac-add`
7×	`div-exp`
6×	`pow1` `distribute-rgt-out--`
5×	`cbrt-undiv` `distribute-lft-out--`
4×	`frac-times` `flip3--` `associate-r/` `associate-l/` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
3×	`div-inv`
2×	`neg-sub0` `sub-neg` `associate-+r+` `diff-log` `div-sub` `sum-log`
1×	`+-commutative` `associate--l-` `pow-to-exp` `associate-+r-` `frac-2neg` `flip3-+` `distribute-frac-neg` `pow-prod-down` `pow-exp` `clear-num` `*-commutative` `flip-+`

Counts

4 → 267

Calls

4 calls:

76.0ms	(- (/ (neg 3.0) (pow x 3)) (/ 3.0 x))
9.0ms	(* (/ -1 x) (/ 1.0 x))
10.0ms	(/ (neg 3.0) (pow x 3))
80.0ms	(+ (* (/ -1 x) (/ 1.0 x)) (- (/ (neg 3.0) (pow x 3)) (/ 3.0 x)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (/ (neg 3.0) (pow x 3)) (/ 3.0 x))
3.0ms	(* (/ -1 x) (/ 1.0 x))
4.0ms	(/ (neg 3.0) (pow x 3))
4.0ms	(+ (* (/ -1 x) (/ 1.0 x)) (- (/ (neg 3.0) (pow x 3)) (/ 3.0 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5012	3454

prune347.0ms

Filtered

160 candidates to 279 candidates (-74.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	279	4	283

Merged error: 0.0b

Counts

283 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1.0))
0.0b	(/ x (+ x 1.0))
0.1b	(* (+ x 1.0) (/ 1 (- x 1.0)))
6.9b	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
44×	`times-frac`
33×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/r*`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `frac-sub` `associate-/l*` `add-log-exp`
5×	`flip3-+` `div-exp` `flip-+` `distribute-lft-out`
4×	`frac-times` `associate-l` `associate-*l/` `prod-exp`
3×	`cbrt-undiv` `flip3--` `flip--` `div-inv` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `cbrt-unprod`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 141

Calls

4 calls:

5.0ms	(/ 1 (- x 1.0))
5.0ms	(/ x (+ x 1.0))
12.0ms	(* (+ x 1.0) (/ 1 (- x 1.0)))
10.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

series15.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- x 1.0))
3.0ms	(/ x (+ x 1.0))
3.0ms	(* (+ x 1.0) (/ 1 (- x 1.0)))
7.0ms	(- (/ x (+ x 1.0)) (* (+ x 1.0) (/ 1 (- x 1.0))))

simplify52.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5312	1609

prune154.0ms

Filtered

99 candidates to 153 candidates (-54.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	152	5	157

Merged error: 0.0b

Counts

157 → 5

regimes46.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.6b

bsearch24.0ms

Steps

Iters	Range		Point
10	0.01683730658649282	12785707414306.22	14540.297240922848
8	-12322.514085840688	-0.2101619750885166	-11056.680698277803

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	109	41
1	109	41

end0.0ms

sample715.0ms

Algorithm

intervals

Results

244.0ms	1657×	body	1280	valid
139.0ms	1216×	body	640	valid
132.0ms	4200×	body	80	valid
55.0ms	635×	body	320	valid
17.0ms	292×	body	160	valid

Details

sample27.0ms

simplify82.0ms

prune4.0ms

localize10.0ms

rewrite46.0ms

series13.0ms

simplify59.0ms

prune162.0ms

localize9.0ms

rewrite38.0ms

series16.0ms

simplify38.0ms

prune170.0ms

localize11.0ms

rewrite188.0ms

series21.0ms

simplify64.0ms

prune347.0ms

localize7.0ms

rewrite37.0ms

series15.0ms

simplify52.0ms

prune154.0ms

regimes46.0ms

bsearch24.0ms

simplify2.0ms

end0.0ms

sample715.0ms

Profiling