Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify117.0ms

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

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`associate-*r/` `difference-of-squares`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

4 → 95

Calls

4 calls:

17.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
10.0ms	(- (/ (+ 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)))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
86.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms	(* x (+ 0.99229 (* x 0.04481)))
55.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	524	1067
1	2237	989
2	5001	989

prune214.0ms

Filtered

107 candidates to 78 candidates (72.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	4	108

Merged error: 0b

Counts

108 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
0.0b	(+ (* x 0.99229) (* x (* x 0.04481)))
0.1b	(* x (* x 0.04481))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-/r*`
3×	`flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 80

Calls

4 calls:

17.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
4.0ms	(+ (* x 0.99229) (* x (* x 0.04481)))
5.0ms	(* x (* x 0.04481))
8.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481))))) x)
70.0ms	(+ (* x 0.99229) (* x (* x 0.04481)))
30.0ms	(* x (* x 0.04481))
56.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (+ (* x 0.99229) (* x (* x 0.04481)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	440	868
1	1713	811
2	5001	787

prune373.0ms

Filtered

92 candidates to 64 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
15.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
6.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ (* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (* 0.70711 (- x)))
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
64.0ms	(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	605	1138
1	2858	1030
2	5001	1029

prune241.0ms

Filtered

113 candidates to 86 candidates (76.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
0.3b	(pow (* x 0.27061) 3)
0.3b	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
23.2b	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`pow1` `*-un-lft-identity`
13×	`flip3-+` `flip-+`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`associate-r/` `associate-r*` `prod-exp` `cbrt-unprod`
5×	`times-frac` `pow-prod-down` `associate-/l*`
4×	`associate-l` `associate-*l/` `add-log-exp`
3×	`distribute-rgt-in` `pow-unpow` `distribute-lft-in`
2×	`cbrt-undiv` `sub-neg` `pow-pow` `div-exp` `pow-exp` `sum-cubes` `*-commutative` `associate-/l/` `distribute-lft-out` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `frac-2neg` `unpow3` `cube-prod` `clear-num` `associate-/r*` `flip--` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 109

Calls

4 calls:

12.0ms	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms	(pow (* x 0.27061) 3)
8.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
23.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
40.0ms	(pow (* x 0.27061) 3)
79.0ms	(* (* x 0.27061) (- (* x 0.27061) 2.30753))
99.0ms	(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (+ (* (* x 0.27061) (- (* x 0.27061) 2.30753)) (* 2.30753 2.30753)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify126.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	684	1532
1	3979	1348
2	5001	1348

prune323.0ms

Filtered

121 candidates to 84 candidates (69.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	121	4	125

Merged error: 0b

Counts

125 → 4

regimes17.0ms

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	25	10
1	25	10

end0.0ms

sample424.0ms

Algorithm

intervals

Results

334.0ms

8000×

body

valid