Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	70×	body	640	valid
4.0ms	124×	body	80	valid
3.0ms	19×	body	1280	valid
2.0ms	23×	body	320	valid
1.0ms	20×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

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: 10.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.3b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
35×	`times-frac`
33×	`add-sqr-sqrt`
14×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-lft-out`
8×	`difference-of-squares`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
3×	`pow1` `flip3--` `frac-add` `flip--` `associate-/l*`
2×	`sub-neg` `associate-+l+` `diff-log` `sum-log` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

3 → 81

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
17.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
34.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series313.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ 1.0 (- x 1.0))
49.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
236.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	421	692
1	1417	662
2	5001	653

prune180.0ms

Filtered

90 candidates to 66 candidates (73.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0.1b

Counts

91 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
18.3b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 133

Calls

4 calls:

6.0ms	(* (+ x 1.0) x)
22.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
10.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series239.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ x 1.0) x)
94.0ms	(/ (+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0)) (* (* (+ x 1.0) x) (- x 1.0)))
101.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1009	2250
1	5001	2104

prune426.0ms

Filtered

145 candidates to 112 candidates (77.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	145	5	150

Merged error: 0.1b

Counts

150 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.1b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
10.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series245.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
107.0ms	(* (* (+ x 1.0) x) (- x 1.0))
95.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	430	600
1	2219	516
2	5002	515

prune145.0ms

Filtered

93 candidates to 62 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
1.1b	(/ 2.0 (* (+ x 1.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/` `associate-/r/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`flip3-+` `flip-+` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-l`
3×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

3 → 122

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
11.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
6.0ms	(/ 2.0 (* (+ x 1.0) x))

series177.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
98.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
36.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	560	1012
1	2547	928
2	5002	928

prune194.0ms

Filtered

131 candidates to 96 candidates (73.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Merged error: 0b

Counts

135 → 4

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample723.0ms

Algorithm

intervals

Results

248.0ms	1865×	body	640	valid
150.0ms	4143×	body	80	valid
99.0ms	573×	body	1280	valid
91.0ms	922×	body	320	valid
37.0ms	500×	body	160	valid

Details

sample28.0ms

simplify18.0ms

prune2.0ms

localize8.0ms

rewrite60.0ms

series313.0ms

simplify44.0ms

prune180.0ms

localize13.0ms

rewrite60.0ms

series239.0ms

simplify53.0ms

prune426.0ms

localize6.0ms

rewrite31.0ms

series245.0ms

simplify60.0ms

prune145.0ms

localize7.0ms

rewrite28.0ms

series177.0ms

simplify67.0ms

prune194.0ms

regimes15.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample723.0ms

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