Details

sample17.0ms

Algorithm

intervals

Results

5.0ms	64×	body	640	valid
3.0ms	134×	body	80	valid
2.0ms	41×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	15	5

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: 14.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
5.0ms	(/ 1.0 (+ x 1.0))
28.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1.0 (- x 1.0))
25.0ms	(/ 1.0 (+ x 1.0))
175.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	387	679
1	1331	648
2	5001	644

prune177.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	2	112

Merged error: 0.4b

Counts

112 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.0b	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.4b	(- (- x 1.0) (+ x 1.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity` `add-log-exp`
8×	`add-exp-log` `flip3--` `frac-sub` `add-cbrt-cube` `flip--`
7×	`add-sqr-sqrt` `diff-log`
6×	`associate-*r/` `associate-/l/` `distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`flip3-+` `times-frac` `associate-/r*` `flip-+` `difference-of-squares`
3×	`pow1` `sub-neg`
2×	`cbrt-undiv` `div-exp` `associate--l+` `sum-log` `associate-/r/` `distribute-lft-out`
1×	`associate--l-` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+`

Counts

3 → 72

Calls

3 calls:

4.0ms	(- (* x x) (* 1.0 1.0))
15.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms	(- (- x 1.0) (+ x 1.0))

series104.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (* x x) (* 1.0 1.0))
53.0ms	(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
7.0ms	(- (- x 1.0) (+ x 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	471	660
1	2732	582
2	5002	579

prune316.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Merged error: 0.4b

Counts

83 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))
0.1b	(/ 1 (pow x 4))
0.2b	(/ (- 2.0) (pow x 6))
0.4b	(/ 1 (pow x 2))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

121×	`times-frac`
97×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
57×	`unpow-prod-down`
29×	`add-exp-log`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
22×	`associate-/r*`
19×	`sqr-pow`
16×	`associate-/l*`
15×	`div-exp`
12×	`add-cbrt-cube`
10×	`associate-r`
8×	`neg-mul-1`
7×	`pow-to-exp` `pow-exp` `div-inv` `distribute-lft-out`
6×	`pow1` `rec-exp` `1-exp`
4×	`unpow2` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `associate-r/` `associate-l*` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`neg-sub0` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-sub` `distribute-frac-neg` `pow-prod-down` `frac-add` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 243

Calls

4 calls:

39.0ms	(* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))
5.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))
5.0ms	(/ 1 (pow x 2))

series169.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))
27.0ms	(/ 1 (pow x 4))
49.0ms	(/ (- 2.0) (pow x 6))
16.0ms	(/ 1 (pow x 2))

simplify88.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	700	1421
1	3220	1190
2	5002	1130

prune372.0ms

Filtered

255 candidates to 126 candidates (49.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	254	1	255
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	255	2	257

Merged error: 0.0b

Counts

257 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4))))
0.0b	(+ (pow x (- 2)) (/ 1 (pow x 4)))
0.1b	(/ 1 (pow x 4))
0.2b	(/ (- 2.0) (pow x 6))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

91×	`times-frac`
74×	`*-un-lft-identity`
70×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
45×	`unpow-prod-down`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`add-exp-log`
15×	`sqr-pow`
14×	`associate-/r*`
13×	`associate-/l*`
10×	`add-cbrt-cube`
9×	`div-exp`
8×	`neg-mul-1`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`pow-to-exp` `associate-*r/` `frac-add` `pow-exp` `div-inv` `distribute-lft-out`
3×	`neg-sub0` `rec-exp` `1-exp` `associate-l`
2×	`cbrt-undiv` `pow-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+` `pow-sub`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `div-sub` `distribute-frac-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 197

Calls

4 calls:

18.0ms	(* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4))))
12.0ms	(+ (pow x (- 2)) (/ 1 (pow x 4)))
5.0ms	(/ 1 (pow x 4))
6.0ms	(/ (- 2.0) (pow x 6))

series249.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* 2.0 (+ (pow x (- 2)) (/ 1 (pow x 4))))
76.0ms	(+ (pow x (- 2)) (/ 1 (pow x 4)))
30.0ms	(/ 1 (pow x 4))
48.0ms	(/ (- 2.0) (pow x 6))

simplify83.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	618	1311
1	2801	1178
2	5001	1081

prune363.0ms

Filtered

209 candidates to 112 candidates (53.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	209	2	211

Merged error: 0.0b

Counts

211 → 2

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 13.9b

bsearch80.0ms

Steps

Iters	Range		Point
9	0.06406876111163662	2027774.326345067	1434.7656270328541
8	-2.277385665595032e+17	-464914908895680.06	-2101387514886478.0

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	18
1	42	18

end0.0ms

sample439.0ms

Algorithm

intervals

Results

157.0ms	1895×	body	640	valid
92.0ms	4241×	body	80	valid
77.0ms	1263×	body	320	valid
24.0ms	601×	body	160	valid