Details

sample25.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify522.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite28.0ms

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))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify68.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (21.0ms)

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

prune83.0ms

Filtered

98 candidates to 60 candidates (38.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize9.0ms

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))
0.0b	(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:

20.0ms	(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms	(/ (neg (+ f n)) (- f n))
19.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

series39.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(cbrt (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms	(/ (neg (+ f n)) (- f n))
14.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

simplify138.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	953	3724
1	4516	3469
2	5002	3469

prune201.0ms

Filtered

405 candidates to 143 candidates (64.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	405	4	409

Merged error: 0b

Counts

409 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (/ (neg (+ f n)) (- f n)) 3)))
0.0b	(exp (pow (/ (neg (+ f n)) (- f n)) 3))
0.0b	(/ (neg (+ f n)) (- f n))
0.0b	(pow (/ (neg (+ f n)) (- f n)) 3)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

521×	`*-un-lft-identity`
420×	`times-frac`
377×	`add-sqr-sqrt`
276×	`exp-prod`
207×	`add-cube-cbrt`
198×	`unpow-prod-down` `cube-prod`
144×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
139×	`log-pow`
85×	`distribute-lft-out--` `difference-of-squares`
72×	`distribute-lft-out`
36×	`neg-mul-1`
14×	`associate-/r/`
12×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1`
5×	`distribute-frac-neg` `associate-/r*` `add-log-exp`
4×	`cube-neg`
3×	`exp-neg` `cube-mult` `pow-unpow` `log-prod` `unpow3` `sqr-pow`
2×	`cbrt-undiv` `div-exp` `pow-exp` `associate-/l/` `distribute-neg-frac` `rem-cube-cbrt`
1×	`cube-div` `neg-sub0` `pow-to-exp` `log-div` `pow-pow` `frac-2neg` `flip3-+` `div-sub` `rem-log-exp` `log-rec` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 547

Calls

4 calls:

32.0ms	(log (exp (pow (/ (neg (+ f n)) (- f n)) 3)))
30.0ms	(exp (pow (/ (neg (+ f n)) (- f n)) 3))
10.0ms	(/ (neg (+ f n)) (- f n))
16.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

series61.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (exp (pow (/ (neg (+ f n)) (- f n)) 3)))
19.0ms	(exp (pow (/ (neg (+ f n)) (- f n)) 3))
9.0ms	(/ (neg (+ f n)) (- f n))
14.0ms	(pow (/ (neg (+ f n)) (- f n)) 3)

simplify141.0ms

Algorithm

egg-herbie

Counts

559 → 559

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	986	4208
1	4461	3719
2	5002	3719

prune404.0ms

Filtered

559 candidates to 213 candidates (61.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	559	0	559
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	559	4	563

Merged error: 0b

Counts

563 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

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×	`cbrt-div` `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 → 602

Calls

4 calls:

10.0ms	(/ (neg (+ f n)) (- f n))
9.0ms	(/ (neg (+ f n)) (- f n))
12.0ms	(/ (neg (+ f n)) (- f n))
91.0ms	(* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(/ (neg (+ f n)) (- f n))
9.0ms	(/ (neg (+ f n)) (- f n))
9.0ms	(/ (neg (+ f n)) (- f n))
32.0ms	(* (cbrt (/ (neg (+ f n)) (- f n))) (cbrt (/ (neg (+ f n)) (- f n))))

simplify131.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	646	7397
1	2405	7299
2	5002	7056

prune355.0ms

Filtered

614 candidates to 318 candidates (48.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	614	0	614
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	614	4	618

Merged error: 0b

Counts

618 → 4

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	8
1	18	8
2	18	8

end0.0ms

sample411.0ms

Algorithm

intervals

Results

206.0ms

8000×

body

valid

Details

sample25.0ms

simplify522.0ms

prune4.0ms

localize8.0ms

rewrite28.0ms

series18.0ms

simplify68.0ms

prune83.0ms

localize9.0ms

rewrite76.0ms

series39.0ms

simplify138.0ms

prune201.0ms

localize12.0ms

rewrite128.0ms

series61.0ms

simplify141.0ms

prune404.0ms

localize9.0ms

rewrite173.0ms

series59.0ms

simplify131.0ms

prune355.0ms

regimes118.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample411.0ms

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