Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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: 14.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b

(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/ x (+ (* x x) 1.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ x (+ (* x x) 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5303	373

prune51.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (/ 1.0 (pow x 3)))
0.1b	(/ 1.0 (pow x 5))
0.5b	(/ 1.0 (pow x 3))
16.6b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-sqr-sqrt`
84×	`times-frac`
70×	`*-un-lft-identity`
45×	`add-cube-cbrt`
27×	`unpow-prod-down`
19×	`associate-/r*`
15×	`cube-prod` `difference-of-squares`
14×	`add-exp-log`
11×	`add-log-exp` `sqr-pow`
8×	`add-cbrt-cube`
6×	`div-exp` `associate-/l*` `distribute-lft-out--`
4×	`pow1` `cube-mult` `unpow3` `div-inv` `distribute-lft-out`
3×	`frac-add`
2×	`cbrt-undiv` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-exp` `clear-num` `sum-log` `frac-sub` `flip--`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 161

Calls

4 calls:

26.0ms	(- (/ 1 x) (/ 1.0 (pow x 3)))
4.0ms	(/ 1.0 (pow x 5))
5.0ms	(/ 1.0 (pow x 3))
53.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ 1 x) (/ 1.0 (pow x 3)))
4.0ms	(/ 1.0 (pow x 5))
3.0ms	(/ 1.0 (pow x 3))
5.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

simplify41.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5093	2078

prune231.0ms

Filtered

106 candidates to 173 candidates (-63.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	173	3	176

Merged error: 0b

Counts

176 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(pow (/ x (+ (* x x) 1.0)) 3)
14.8b	(/ x (+ (* x x) 1.0))
38.6b	(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1`
3×	`pow-unpow` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube`

Counts

3 → 125

Calls

3 calls:

7.0ms	(pow (/ x (+ (* x x) 1.0)) 3)
5.0ms	(/ x (+ (* x x) 1.0))
7.0ms	(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

series16.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(pow (/ x (+ (* x x) 1.0)) 3)
4.0ms	(/ x (+ (* x x) 1.0))
6.0ms	(cbrt (pow (/ x (+ (* x x) 1.0)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5974	1755

prune119.0ms

Filtered

73 candidates to 134 candidates (-83.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	134	3	137

Merged error: 0b

Counts

137 → 3

regimes94.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.9b

bsearch10.0ms

Steps

Iters	Range		Point
1	3144466.785786305	3297238.5526902066	3182659.7275122805
7	-4.067635969592727e+23	-1.6273086803147638e+22	-6.253179014396205e+22

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	31
1	43	31

end0.0ms

sample250.0ms

Algorithm

intervals

Results

167.0ms

8000×

body

valid

Details

analyze1.0ms

sample10.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify57.0ms

prune51.0ms

localize12.0ms

rewrite94.0ms

series18.0ms

simplify41.0ms

prune231.0ms

localize7.0ms

rewrite24.0ms

series16.0ms

simplify55.0ms

prune119.0ms

regimes94.0ms

bsearch10.0ms

simplify1.0ms

end0.0ms

sample250.0ms

Profiling