Details

analyze4.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample16.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify72.0ms

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	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite29.0ms

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:

9.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	418	785
1	1542	737
2	5001	731

prune135.0ms

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)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
19.1b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

rewrite31.0ms

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))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
6.0ms	(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)))
8.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (64.0ms)

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

prune212.0ms

Filtered

90 candidates to 159 candidates (-76.7%)

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
2.6b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
19.8b	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
31×	`add-sqr-sqrt`
25×	`add-exp-log` `times-frac` `add-cbrt-cube`
24×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-l`
19×	`pow-prod-down`
17×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
8×	`flip3-+` `flip-+`
7×	`associate-r` `difference-of-squares`
6×	`frac-times`
4×	`flip3--` `associate-r/` `associate-/r` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `div-exp` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `swap-sqr` `clear-num`

Counts

4 → 142

Calls

4 calls:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
12.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
12.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	733	2154
1	3642	1936
2	5002	1934

prune311.0ms

Filtered

101 candidates to 154 candidates (-52.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Merged error: 0b

Counts

157 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
0.0b	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
0.1b	(* 1.900161040244073 (pow x 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+`

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
6.0ms	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
5.0ms	(* 1.900161040244073 (pow x 2))

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
3.0ms	(- (* 3.0191289436999997 x) (+ (* 1.900161040244073 (pow x 2)) 2.30753))
5.0ms	(* 1.900161040244073 (pow x 2))

simplify153.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (147.0ms)

Iter	Nodes	Cost
0	241	309
1	886	280
2	4072	278
3	5002	277

prune72.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes29.0ms

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

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample423.0ms

Algorithm

intervals

Results

323.0ms

8000×

body

valid

Details

analyze4.0ms

sample16.0ms

simplify72.0ms

prune2.0ms

localize10.0ms

rewrite29.0ms

series22.0ms

simplify48.0ms

prune135.0ms

localize14.0ms

rewrite31.0ms

series24.0ms

simplify86.0ms

prune212.0ms

localize14.0ms

rewrite40.0ms

series27.0ms

simplify104.0ms

prune311.0ms

localize7.0ms

rewrite17.0ms

series13.0ms

simplify153.0ms

prune72.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample423.0ms

Profiling