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

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	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	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite31.0ms

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-*r/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `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 → 79

Calls

4 calls:

14.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 0.99229 (* x 0.04481))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	437	781
1	1823	736
2	5001	736

prune138.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Merged error: 0b

Counts

92 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
14.1b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
19.1b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 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` `associate-*r/` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
8.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (+ 0.99229 (* x 0.04481)))
8.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
5.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

simplify93.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	675	1949
1	3285	1824
2	5001	1812

prune213.0ms

Filtered

91 candidates to 161 candidates (-76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

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`
18×	`associate-*r/`
11×	`prod-exp` `cbrt-unprod`
8×	`flip3-+` `flip-+`
7×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `difference-of-squares`
6×	`frac-times`
4×	`flip3--` `associate-/r*` `associate-/r/` `pow-sqr` `pow-prod-up` `flip--` `add-log-exp`
3×	`associate-l/` `-commutative` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `pow-plus` `div-exp` `div-inv` `associate-/l/`
1×	`pow2` `frac-2neg` `swap-sqr` `clear-num`

Counts

4 → 148

Calls

4 calls:

5.0ms	(* x (+ 0.99229 (* x 0.04481)))
10.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
13.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* x (+ 0.99229 (* x 0.04481)))
4.0ms	(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
9.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify122.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	785	2202
1	4228	1980
2	5001	1980

prune316.0ms

Filtered

103 candidates to 160 candidates (-55.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 52

Calls

3 calls:

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

series11.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify181.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	237	299
1	891	276
2	4637	269
3	5001	269

prune70.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

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

simplify6.0ms

prune2.0ms

localize10.0ms

rewrite31.0ms

series22.0ms

simplify55.0ms

prune138.0ms

localize14.0ms

rewrite31.0ms

series24.0ms

simplify93.0ms

prune213.0ms

localize15.0ms

rewrite40.0ms

series28.0ms

simplify122.0ms

prune316.0ms

localize7.0ms

rewrite20.0ms

series11.0ms

simplify181.0ms

prune70.0ms

regimes29.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze4.0ms

sample423.0ms

Profiling