Details

analyze4.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite24.0ms

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 → 77

Calls

4 calls:

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 2.30753 (* x 0.27061))
9.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	422	785
1	1574	737
2	5001	731

prune139.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
17.4b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
7.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

series21.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify88.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	653	1946
1	3050	1822
2	5001	1810

prune221.0ms

Filtered

91 candidates to 159 candidates (-74.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	159	3	162

Merged error: 0b

Counts

162 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

13.8b	(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
43×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r` `associate-/l`
12×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `associate-/l/`
7×	`flip3-+` `flip-+`
5×	`distribute-lft-out` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 134

Calls

4 calls:

12.0ms	(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (- (* x x) (* (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))) (+ x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify67.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	453	2713
1	1982	2551
2	5001	2517

prune513.0ms

Filtered

117 candidates to 146 candidates (-24.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Merged error: 0b

Counts

149 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.3b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
0.3b	(pow (* x 0.27061) 3)
23.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
3.0ms	(pow (* x 0.27061) 3)
21.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
12.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
7.0ms	(pow (* x 0.27061) 3)
14.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify104.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	631	1095
1	3555	948
2	5001	948

prune220.0ms

Filtered

75 candidates to 113 candidates (-50.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes32.0ms

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	23	10
1	23	10

end0.0ms

analyze4.0ms

Algorithm: search

sample399.0ms

Algorithm

intervals

Results

311.0ms

8000×

body

valid

Details

analyze4.0ms

sample15.0ms

simplify69.0ms

prune2.0ms

localize10.0ms

rewrite24.0ms

series24.0ms

simplify45.0ms

prune139.0ms

localize14.0ms

rewrite30.0ms

series21.0ms

simplify88.0ms

prune221.0ms

localize16.0ms

rewrite33.0ms

series35.0ms

simplify67.0ms

prune513.0ms

localize19.0ms

rewrite43.0ms

series39.0ms

simplify104.0ms

prune220.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample399.0ms

Profiling