Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	50	8
2	69	8
3	75	8
4	75	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
46×	`times-frac`
45×	`prod-diff`
15×	`fma-neg`
10×	`associate-/r/`
8×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`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` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
12.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ 2.30753 (* x 0.27061))
82.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
54.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	607	2052
1	2430	1584
2	5002	1517

prune335.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.4b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `pow-flip` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

1.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x))
31.0ms	(+ 2.30753 (* x 0.27061))
65.0ms	(* x (+ 0.99229 (* x 0.04481)))
43.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	438	643
1	1902	533
2	5001	506

prune229.0ms

Filtered

97 candidates to 73 candidates (75.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	98	2	100

Merged error: 0b

Counts

100 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.4b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
0.5b	(expm1 (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u`
3×	`fma-def` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `div-exp` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `expm1-log1p` `pow-flip` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow` `expm1-udef` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
1.0ms	(expm1 (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series232.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
42.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
94.0ms	(expm1 (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	434	619
1	1880	516
2	5001	489

prune271.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	98	2	100

Merged error: 0b

Counts

100 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.0b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
15.0b	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
30×	`sqrt-prod`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `sqrt-div` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv` `associate-/l/`
1×	`rec-exp` `1-exp` `inv-pow`

Counts

4 → 128

Calls

4 calls:

7.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
6.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
99.0ms	(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
76.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
75.0ms	(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify67.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	575	1602
1	2363	1471
2	5002	1429

prune369.0ms

Filtered

140 candidates to 97 candidates (69.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	2	142

Merged error: 0b

Counts

142 → 2

regimes14.0ms

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	26	11
1	26	11

end0.0ms

sample327.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid