Details

sample431.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

7.0ms

256×

body

valid

simplify369.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (neg (+ 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` `flip3--` `frac-2neg` `flip3-+` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 95

Calls

1 calls:

11.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify83.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	288	754
1	906	738
2	2893	733
3	5001	733

prune76.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
0.0b	(/ (neg (+ f n)) (- f n))
0.1b	(pow (/ (neg (+ f n)) (- f n)) 3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

374×	`*-un-lft-identity`
300×	`times-frac`
270×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
138×	`cbrt-prod`
132×	`unpow-prod-down` `cube-prod`
104×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
61×	`distribute-lft-out--` `difference-of-squares`
52×	`distribute-lft-out`
26×	`neg-mul-1`
12×	`associate-/l*`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `distribute-frac-neg` `div-exp` `pow-exp` `associate-/l/` `distribute-neg-frac` `rem-cube-cbrt` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `cube-neg` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 396

Calls

3 calls:

23.0ms	(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms	(/ (neg (+ f n)) (- f n))
16.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

series44.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms	(/ (neg (+ f n)) (- f n))
14.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

simplify123.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	953	3730
1	4413	3489
2	5002	3481

prune191.0ms

Filtered

141 candidates to 405 candidates (-187.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	404	5	409

Merged error: 0b

Counts

409 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

807×	`*-un-lft-identity`
526×	`times-frac`
438×	`sqrt-prod`
417×	`add-sqr-sqrt`
209×	`add-cube-cbrt`
200×	`distribute-rgt-neg-in`
172×	`distribute-lft-neg-in`
151×	`swap-sqr`
130×	`distribute-lft-out--`
114×	`distribute-lft-out`
90×	`difference-of-squares`
69×	`associate-r` `associate-l`
36×	`neg-mul-1`
24×	`associate-/l*`
18×	`pow1`
12×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`flip3--` `flip--` `div-inv`
5×	`pow-prod-up`
4×	`sqrt-div` `associate-/l/` `distribute-neg-frac`
3×	`pow-prod-down` `pow-sqr` `add-log-exp`
2×	`cbrt-undiv` `neg-sub0` `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

3 → 516

Calls

3 calls:

93.0ms	(* (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))))
9.0ms	(/ (neg (+ f n)) (- f n))
9.0ms	(/ (neg (+ f n)) (- f n))

series36.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (sqrt (/ (neg (+ f n)) (- f n))) (sqrt (/ (neg (+ f n)) (- f n))))
9.0ms	(/ (neg (+ f n)) (- f n))
9.0ms	(/ (neg (+ f n)) (- f n))

simplify132.0ms

Algorithm

egg-herbie

Counts

525 → 525

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	655	4569
1	3135	4435
2	5002	4420

prune264.0ms

Filtered

250 candidates to 525 candidates (-110.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	525	0	525
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	525	5	530

Merged error: 0b

Counts

530 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- f n) 3)
0.0b	(pow (neg (+ f n)) 3)
0.0b	(cbrt (/ (pow (neg (+ f n)) 3) (pow (- f n) 3)))
38.7b	(/ (pow (neg (+ f n)) 3) (pow (- f n) 3))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

960×	`times-frac`
949×	`*-un-lft-identity`
718×	`unpow-prod-down` `cube-prod`
677×	`add-sqr-sqrt`
486×	`cbrt-prod`
429×	`add-cube-cbrt`
272×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
136×	`distribute-lft-out`
124×	`distribute-lft-out--` `difference-of-squares`
96×	`cube-mult` `unpow3` `sqr-pow`
68×	`neg-mul-1`
30×	`associate-/l*`
18×	`add-exp-log`
16×	`associate-/r*`
10×	`cube-div`
9×	`div-exp`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`associate-/r/` `distribute-neg-frac` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-pow` `flip3-+` `cube-neg` `flip-+` `div-inv` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cbrt-div` `frac-2neg` `pow1/3` `distribute-frac-neg` `clear-num`

Counts

4 → 1119

Calls

4 calls:

5.0ms	(pow (- f n) 3)
5.0ms	(pow (neg (+ f n)) 3)
42.0ms	(cbrt (/ (pow (neg (+ f n)) 3) (pow (- f n) 3)))
25.0ms	(/ (pow (neg (+ f n)) 3) (pow (- f n) 3))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (- f n) 3)
12.0ms	(pow (neg (+ f n)) 3)
16.0ms	(cbrt (/ (pow (neg (+ f n)) 3) (pow (- f n) 3)))
15.0ms	(/ (pow (neg (+ f n)) 3) (pow (- f n) 3))

simplify167.0ms

Algorithm

egg-herbie

Counts

1131 → 1131

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1018	12712
1	5001	12158

prune469.0ms

Filtered

232 candidates to 1131 candidates (-387.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1131	0	1131
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	1131	5	1136

Merged error: 0b

Counts

1136 → 5

regimes121.0ms

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

sample595.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 99.21875%

Results

199.0ms

8000×

body

valid

Details

sample431.0ms

simplify369.0ms

prune4.0ms

localize7.0ms

rewrite18.0ms

series17.0ms

simplify83.0ms

prune76.0ms

localize8.0ms

rewrite76.0ms

series44.0ms

simplify123.0ms

prune191.0ms

localize10.0ms

rewrite164.0ms

series36.0ms

simplify132.0ms

prune264.0ms

localize13.0ms

rewrite175.0ms

series49.0ms

simplify167.0ms

prune469.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample595.0ms

Profiling