Details

sample272.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	4
1	16	4
2	20	4
3	26	4
4	31	4
5	33	4
6	33	4

prune3.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/` `distribute-neg-frac`
1×	`pow1` `cbrt-undiv` `neg-sub0` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 97

Calls

1 calls:

12.0ms

(/ (- (+ f n)) (- f n))

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

(/ (- (+ f n)) (- f n))

simplify69.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	293	774
1	927	758
2	3021	743
3	5001	743

prune140.0ms

Filtered

100 candidates to 62 candidates (62.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
0.0b	(/ (- (+ f n)) (- f n))
0.0b	(/ (- (+ f n)) (- f n))
0.0b	(/ (- (+ f n)) (- f n))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

889×	`*-un-lft-identity`
586×	`times-frac`
471×	`add-sqr-sqrt`
436×	`cbrt-prod`
241×	`add-cube-cbrt`
224×	`distribute-rgt-neg-in`
196×	`distribute-lft-neg-in`
149×	`swap-sqr`
143×	`distribute-lft-out--`
126×	`distribute-lft-out`
103×	`difference-of-squares`
69×	`associate-r` `associate-l`
42×	`neg-mul-1`
36×	`associate-/l*`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/` `distribute-neg-frac`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 610

Calls

4 calls:

89.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
10.0ms	(/ (- (+ f n)) (- f n))
10.0ms	(/ (- (+ f n)) (- f n))
10.0ms	(/ (- (+ f n)) (- f n))

series369.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (/ (- (+ f n)) (- f n))) (cbrt (/ (- (+ f n)) (- f n))))
65.0ms	(/ (- (+ f n)) (- f n))
65.0ms	(/ (- (+ f n)) (- f n))
70.0ms	(/ (- (+ f n)) (- f n))

simplify127.0ms

Algorithm

egg-herbie

Counts

622 → 622

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	650	7726
1	2384	7626
2	5001	7113

prune925.0ms

Filtered

622 candidates to 326 candidates (52.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	622	0	622
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	622	5	627

Merged error: 0b

Counts

627 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ f n)))
0.5b	(cbrt (- (+ f n)))
0.5b	(cbrt (- (+ f n)))
0.5b	(* (cbrt (- (+ f n))) (cbrt (- (+ f n))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
79×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
36×	`distribute-rgt-neg-in`
32×	`distribute-lft-neg-in`
29×	`add-cube-cbrt`
23×	`swap-sqr`
20×	`distribute-lft-out`
18×	`cbrt-div` `distribute-neg-frac`
15×	`associate-r` `associate-l`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

4.0ms	(cbrt (- (+ f n)))
6.0ms	(cbrt (- (+ f n)))
4.0ms	(cbrt (- (+ f n)))
16.0ms	(* (cbrt (- (+ f n))) (cbrt (- (+ f n))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (- (+ f n)))
138.0ms	(cbrt (- (+ f n)))
135.0ms	(cbrt (- (+ f n)))
186.0ms	(* (cbrt (- (+ f n))) (cbrt (- (+ f n))))

simplify52.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	321	1331
1	1216	1276
2	5001	1178

prune313.0ms

Filtered

169 candidates to 119 candidates (70.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	169	5	174

Merged error: 0b

Counts

174 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (+ f n)) (- f n)))
0.0b	(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
0.0b	(/ (- (+ f n)) (- f n))
0.0b	(/ (- (+ f n)) (- f n))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

880×	`*-un-lft-identity`
587×	`times-frac`
504×	`sqrt-prod`
473×	`add-sqr-sqrt`
238×	`add-cube-cbrt`
220×	`distribute-rgt-neg-in`
192×	`distribute-lft-neg-in`
151×	`swap-sqr`
142×	`distribute-lft-out--`
124×	`distribute-lft-out`
102×	`difference-of-squares`
69×	`associate-r` `associate-l`
41×	`neg-mul-1`
24×	`associate-/l*`
20×	`pow1`
14×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`sqrt-pow1` `pow1/2` `unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
5×	`sqrt-div` `pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `distribute-neg-frac` `add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `neg-sub0` `rem-sqrt-square` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip-+`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 602

Calls

4 calls:

14.0ms	(sqrt (/ (- (+ f n)) (- f n)))
88.0ms	(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
9.0ms	(/ (- (+ f n)) (- f n))
9.0ms	(/ (- (+ f n)) (- f n))

series528.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(sqrt (/ (- (+ f n)) (- f n)))
135.0ms	(* (sqrt (/ (- (+ f n)) (- f n))) (sqrt (/ (- (+ f n)) (- f n))))
65.0ms	(/ (- (+ f n)) (- f n))
71.0ms	(/ (- (+ f n)) (- f n))

simplify149.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	666	5517
1	3249	5337
2	5001	5305

prune869.0ms

Filtered

614 candidates to 323 candidates (52.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	614	5	619

Merged error: 0b

Counts

619 → 5

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	13	4
2	13	4

end0.0ms

sample309.0ms

Algorithm

intervals

Results

185.0ms

8000×

body

valid