Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify114.0ms

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

prune3.0ms

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

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	(+ 2.30753 (* x 0.27061))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
11.6b	(/ (+ 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)
2.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series300.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
43.0ms	(+ 2.30753 (* x 0.27061))
79.0ms	(* x (+ 0.99229 (* x 0.04481)))
71.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	441	781
1	1821	736
2	5001	736

prune552.0ms

Filtered

91 candidates to 68 candidates (25.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	2	92

Merged error: 0.0b

Counts

92 → 2

localize12.0ms

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)))))
11.1b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 108

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
4.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
12.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series246.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ 2.30753 (* x 0.27061))
80.0ms	(* x (+ 0.99229 (* x 0.04481)))
48.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
73.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	538	956
1	2687	851
2	5002	825

prune994.0ms

Filtered

120 candidates to 77 candidates (35.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Merged error: 0.0b

Counts

122 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
11.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.9b	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
13×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1`
4×	`cube-div` `distribute-lft-out--` `add-log-exp`
3×	`pow-unpow` `flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `associate-*r/` `associate-/r/` `flip--` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

12.0ms	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

series389.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3)
74.0ms	(* x (+ 0.99229 (* x 0.04481)))
68.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
100.0ms	(cbrt (pow (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x) 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	569	1467
1	2536	1392
2	5001	1386

prune1.0s

Filtered

125 candidates to 79 candidates (36.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	2	127

Merged error: 0.0b

Counts

127 → 2

regimes54.0ms

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	28	10
1	28	10

end0.0ms

sample455.0ms

Algorithm

intervals

Results

322.0ms

8000×

body

valid

Details

sample26.0ms

simplify114.0ms

prune3.0ms

localize11.0ms

rewrite24.0ms

series300.0ms

simplify56.0ms

prune552.0ms

localize12.0ms

rewrite27.0ms

series246.0ms

simplify70.0ms

prune994.0ms

localize15.0ms

rewrite36.0ms

series389.0ms

simplify70.0ms

prune1.0s

regimes54.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample455.0ms

Profiling