Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify8.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite17.0ms

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-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
2.0ms	(+ 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)))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
3.0ms	(+ 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)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	622
1	1709	574
2	5001	574

prune117.0ms

Filtered

87 candidates to 65 candidates (25.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
15.5b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
20.7b	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 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` `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)))))
7.0ms	(cbrt (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3))

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) 3)
4.0ms	(/ (+ 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))

simplify96.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (75.0ms)

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

prune211.0ms

Filtered

161 candidates to 90 candidates (44.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0.0b

Counts

164 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
0.0b	(- (cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))) x)
0.1b	(* 58.57591269281974 (pow x 2))
15.9b	(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`*-un-lft-identity`
9×	`add-exp-log`
8×	`add-cube-cbrt` `associate-r`
6×	`add-cbrt-cube`
4×	`pow1` `cbrt-prod` `unpow-prod-down` `unswap-sqr`
3×	`flip3--` `diff-log` `associate-l` `prod-exp` `flip--`
2×	`sub-neg` `cbrt-div` `unpow2` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `associate--l+` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 69

Calls

4 calls:

6.0ms	(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
10.0ms	(- (cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))) x)
5.0ms	(* 58.57591269281974 (pow x 2))
6.0ms	(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))
8.0ms	(- (cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x))) x)
3.0ms	(* 58.57591269281974 (pow x 2))
9.0ms	(cbrt (- (+ (* 58.57591269281974 (pow x 2)) 12.286892763167774) (* 32.25373556085961 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	419	712
1	1527	668
2	5001	634

prune130.0ms

Filtered

81 candidates to 58 candidates (28.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample474.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid

Details

sample23.0ms

simplify8.0ms

prune2.0ms

localize10.0ms

rewrite17.0ms

series16.0ms

simplify51.0ms

prune117.0ms

localize14.0ms

rewrite30.0ms

series23.0ms

simplify96.0ms

prune211.0ms

localize10.0ms

rewrite29.0ms

series23.0ms

simplify51.0ms

prune130.0ms

regimes57.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample474.0ms

Profiling