Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	30	8

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

15.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5096	1340

prune90.0ms

Filtered

62 candidates to 98 candidates (-58.1%)

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)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

232×	`*-un-lft-identity`
180×	`add-sqr-sqrt`
150×	`times-frac`
83×	`distribute-lft-out--`
78×	`cbrt-prod`
72×	`unpow-prod-down` `cube-prod`
66×	`add-cube-cbrt`
57×	`difference-of-squares`
26×	`distribute-rgt-neg-in`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `associate-/l*`
5×	`associate-/r*` `div-inv`
4×	`pow1`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

3 → 238

Calls

3 calls:

15.0ms	(cbrt (pow (/ (- (neg f) n) (- f n)) 3))
11.0ms	(/ (- (neg f) n) (- f n))
19.0ms	(pow (/ (- (neg f) n) (- f n)) 3)

series47.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(cbrt (pow (/ (- (neg f) n) (- f n)) 3))
10.0ms	(/ (- (neg f) n) (- f n))
15.0ms	(pow (/ (- (neg f) n) (- f n)) 3)

simplify61.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5304	3721

prune157.0ms

Filtered

99 candidates to 247 candidates (-149.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	246	1	247
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	248	3	251

Merged error: 0b

Counts

251 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

331×	`*-un-lft-identity`
210×	`times-frac`
181×	`add-sqr-sqrt`
126×	`distribute-lft-out--`
59×	`add-cube-cbrt`
56×	`cbrt-prod`
53×	`distribute-rgt-neg-in`
51×	`difference-of-squares`
50×	`unpow-prod-down` `cube-prod`
22×	`associate-/r/`
18×	`distribute-lft-neg-in`
15×	`distribute-rgt-out--`
14×	`flip3--` `flip--`
11×	`div-inv`
10×	`associate-/l*`
8×	`cube-div`
7×	`add-exp-log` `add-cbrt-cube`
6×	`neg-mul-1` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`cbrt-div`
3×	`pow-unpow` `frac-sub` `sub-div`
2×	`neg-sub0` `cube-mult` `unpow3` `div-sub` `sqr-pow`
1×	`cbrt-undiv` `associate--l-` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `distribute-frac-neg` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 258

Calls

4 calls:

61.0ms	(- (/ (neg f) (- f n)) (/ n (- f n)))
63.0ms	(cbrt (pow (- (/ (neg f) (- f n)) (/ n (- f n))) 3))
8.0ms	(/ (neg f) (- f n))
63.0ms	(pow (- (/ (neg f) (- f n)) (/ n (- f n))) 3)

series62.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ (neg f) (- f n)) (/ n (- f n)))
20.0ms	(cbrt (pow (- (/ (neg f) (- f n)) (/ n (- f n))) 3))
7.0ms	(/ (neg f) (- f n))
22.0ms	(pow (- (/ (neg f) (- f n)) (/ n (- f n))) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5514	4349

prune433.0ms

Filtered

137 candidates to 270 candidates (-97.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	270	3	273

Merged error: 0b

Counts

273 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod`
41×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-neg-in`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

5.0ms	(cbrt (- (neg f) n))
10.0ms	(cbrt (- (neg f) n))
5.0ms	(cbrt (- (neg f) n))
12.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

series151.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- (neg f) n))
41.0ms	(cbrt (- (neg f) n))
37.0ms	(cbrt (- (neg f) n))
35.0ms	(* (cbrt (- f n)) (cbrt (- f n)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4910	1117
1	4910	1117

prune110.0ms

Filtered

80 candidates to 116 candidates (-45.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms

sample461.0ms

Algorithm

intervals

Results

220.0ms

8000×

body

valid

Details

sample24.0ms

simplify9.0ms

prune7.0ms

localize10.0ms

rewrite21.0ms

series29.0ms

simplify39.0ms

prune90.0ms

localize9.0ms

rewrite62.0ms

series47.0ms

simplify61.0ms

prune157.0ms

localize10.0ms

rewrite217.0ms

series62.0ms

simplify50.0ms

prune433.0ms

localize14.0ms

rewrite36.0ms

series151.0ms

simplify52.0ms

prune110.0ms

regimes76.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample461.0ms

Profiling