Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

sample15.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune4.0ms (0.4%)

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: 16.0b

Counts

2 → 1

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

16.0b

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

rewrite6.0ms (0.6%)

Algorithm

1×	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 (0.4%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify57.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5303	373

prune56.0ms (5.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize11.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (/ 1.0 (pow x 3)))
0.2b	(/ 1.0 (pow x 5))
0.6b	(/ 1.0 (pow x 3))
18.2b	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))

rewrite99.0ms (9.5%)

Algorithm

1×	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:

53.0ms	(+ (/ 1.0 (pow x 5)) (- (/ 1 x) (/ 1.0 (pow x 3))))
30.0ms	(- (/ 1 x) (/ 1.0 (pow x 3)))
5.0ms	(/ 1.0 (pow x 3))
4.0ms	(/ 1.0 (pow x 5))

series18.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

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

simplify41.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5093	2078

prune369.0ms (35.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	173	2	175

Merged error: 0b

Counts

175 → 2

regimes64.0ms (6.1%)

Accuracy

Total 0.0b remaining (20.3%)

Threshold costs 0.0b (20.3%)

bsearch22.0ms (2.1%)

Steps

Iters	Range		Point
10	0.0001251970679961137	80018946.66296005	3400835.701847913
9	-2881247843875.465	-5258228.4798076255	-2431087199668.861

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	31
1	43	31

end0.0ms (0%)

sample266.0ms (25.6%)

Algorithm

1×

intervals

Results

174.0ms

8000×

body

valid

Details

analyze1.0ms (0.1%)

sample15.0ms (1.4%)

simplify3.0ms (0.3%)

prune4.0ms (0.4%)

localize4.0ms (0.4%)

rewrite6.0ms (0.6%)

series4.0ms (0.4%)

simplify57.0ms (5.4%)

prune56.0ms (5.4%)

localize11.0ms (1%)

rewrite99.0ms (9.5%)

series18.0ms (1.7%)

simplify41.0ms (3.9%)

prune369.0ms (35.5%)

regimes64.0ms (6.1%)

bsearch22.0ms (2.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample266.0ms (25.6%)

Profiling