Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample15.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4977	17
1	4977	17

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
10.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
10.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5328	1452

prune157.0ms

Filtered

71 candidates to 88 candidates (-23.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
10.3b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.3b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
76×	`times-frac`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt` `sqrt-prod`
30×	`add-exp-log`
24×	`associate-r` `associate-l`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
10×	`pow1` `sqrt-div` `div-exp`
8×	`prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `sqrt-pow1` `pow1/2` `1-exp` `div-inv` `associate-/l*`
2×	`rem-sqrt-square`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

4 → 164

Calls

4 calls:

21.0ms	(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
5.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
5.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5317	4084

prune335.0ms

Filtered

109 candidates to 176 candidates (-61.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	176	2	178

Merged error: 0b

Counts

178 → 2

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	17
1	69	17

end0.0ms

sample384.0ms

Algorithm

intervals

Results

302.0ms

8000×

body

valid

Details

analyze4.0ms

sample15.0ms

simplify67.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series25.0ms

simplify48.0ms

prune157.0ms

localize14.0ms

rewrite38.0ms

series22.0ms

simplify43.0ms

prune335.0ms

regimes51.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample384.0ms

Profiling