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

10.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	17
1	37	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	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
4.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5773	1145

prune112.0ms

Filtered

66 candidates to 85 candidates (-28.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* x 0.27061) 3)
0.3b	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
14.4b	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
20.7b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
74×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
16×	`sum-cubes` `distribute-lft-out`
12×	`pow1` `associate-/r/`
7×	`flip3-+` `flip-+`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-l` `associate-/l/`
2×	`pow-pow` `frac-2neg` `pow-exp` `clear-num` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `unpow3` `cube-prod` `associate-r` `*-commutative` `flip--` `sqr-pow`

Counts

4 → 189

Calls

4 calls:

4.0ms	(pow (* x 0.27061) 3)
8.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
17.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753)))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(pow (* x 0.27061) 3)
7.0ms	(* x (* 0.27061 (- (* x 0.27061) 2.30753)))
8.0ms	(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753))))) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ (* 2.30753 2.30753) (* x (* 0.27061 (- (* x 0.27061) 2.30753)))))

simplify90.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4992	7453
1	4992	7453

prune673.0ms

Filtered

146 candidates to 201 candidates (-37.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	201	2	203

Merged error: 0b

Counts

203 → 2

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms

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

sample389.0ms

Algorithm

intervals

Results

305.0ms

8000×

body

valid

Details

analyze4.0ms

sample15.0ms

simplify3.0ms

prune4.0ms

localize10.0ms

rewrite21.0ms

series17.0ms

simplify46.0ms

prune112.0ms

localize23.0ms

rewrite48.0ms

series27.0ms

simplify90.0ms

prune673.0ms

regimes52.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample389.0ms

Profiling