Details

sample28.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

13.0ms

256×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	51	9
2	69	9
3	86	9
4	94	9
5	105	9
6	139	9
7	177	9
8	202	9
9	246	9
10	416	9
11	615	9
12	992	9
13	1948	9
14	2240	9
15	3154	9
16	5001	9

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

localize11.0ms

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)))
14.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

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-*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:

9.0ms	(- (/ (+ 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)))))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify52.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

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

prune135.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	2	92

Merged error: 0.0b

Counts

92 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))
0.1b	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
0.1b	(* 1.900161040244073 (pow x 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

6.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))
8.0ms	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
5.0ms	(* 1.900161040244073 (pow x 2))

series9.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))
3.0ms	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
3.0ms	(* 1.900161040244073 (pow x 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	279	468
1	1217	416
2	5001	411

prune97.0ms

Filtered

47 candidates to 76 candidates (-61.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
0.1b	(pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3)
0.1b	(* 1.900161040244073 (pow x 2))
9.0b	(cbrt (pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube`
9×	`pow1`
8×	`cbrt-prod`
6×	`unpow-prod-down` `associate-r/` `associate-l*`
5×	`prod-exp` `unswap-sqr`
4×	`cube-div` `add-log-exp` `sqr-pow`
3×	`distribute-rgt-in` `pow-unpow` `flip3--` `distribute-lft-in` `pow-exp` `flip--` `cbrt-unprod`
2×	`cube-mult` `pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `associate--l+` `*-commutative` `unpow2` `rem-cube-cbrt`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 96

Calls

4 calls:

9.0ms	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
8.0ms	(pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3)
5.0ms	(* 1.900161040244073 (pow x 2))
4.0ms	(cbrt (pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x)))
4.0ms	(pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3)
3.0ms	(* 1.900161040244073 (pow x 2))
4.0ms	(cbrt (pow (* 0.70711 (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 3.0191289436999997 x))) 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	402	772
1	1871	730
2	5001	729

prune162.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes85.0ms

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	9
1	23	9

end0.0ms

sample480.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.987793%

Results

346.0ms

8000×

body

valid

Details

sample28.0ms

simplify110.0ms

prune2.0ms

localize11.0ms

rewrite24.0ms

series23.0ms

simplify52.0ms

prune135.0ms

localize8.0ms

rewrite22.0ms

series9.0ms

simplify49.0ms

prune97.0ms

localize12.0ms

rewrite28.0ms

series14.0ms

simplify60.0ms

prune162.0ms

regimes85.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample480.0ms

Profiling