Details

sample26.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	25
1	35	25
2	92	25
3	319	25
4	908	25
5	2311	25
6	5002	25

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: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`times-frac`
1064×	`*-un-lft-identity`
780×	`add-sqr-sqrt`
744×	`add-cube-cbrt`
696×	`prod-diff`
156×	`distribute-lft-out`
60×	`div-inv`
24×	`associate-/r/`
12×	`flip3-+` `fma-neg` `flip-+` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--`

Counts

4 → 780

Calls

4 calls:

30.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
194.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
47.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))

simplify322.0ms

Algorithm

egg-herbie

Counts

792 → 792

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	1273	30716
1	4981	21876
2	5001	21868

prune1.2s

Filtered

792 candidates to 312 candidates (39.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	791	1	792
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	791	2	793

Merged error: 0.0b

Counts

793 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.1b	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

801×	`times-frac`
799×	`*-un-lft-identity`
586×	`add-sqr-sqrt`
559×	`add-cube-cbrt`
522×	`prod-diff`
117×	`distribute-lft-out`
45×	`div-inv`
18×	`associate-/r/`
10×	`add-log-exp`
9×	`flip3-+` `fma-neg` `flip-+` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`fma-udef`

Counts

4 → 595

Calls

4 calls:

27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
31.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
46.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
91.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify192.0ms

Algorithm

egg-herbie

Counts

607 → 607

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1288	23177
1	5001	15934

prune1.1s

Filtered

607 candidates to 246 candidates (40.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	606	1	607
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	607	2	609

Merged error: 0.0b

Counts

609 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
30.1b	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
30.1b	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

534×	`*-un-lft-identity` `times-frac`
392×	`add-sqr-sqrt`
374×	`add-cube-cbrt`
348×	`prod-diff`
78×	`distribute-lft-out`
30×	`div-inv`
12×	`associate-/r/`
8×	`add-log-exp`
6×	`flip3-+` `fma-neg` `flip-+` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--`

Counts

4 → 410

Calls

4 calls:

30.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
1.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
1.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
51.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
88.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
92.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify136.0ms

Algorithm

egg-herbie

Counts

422 → 422

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1287	15662
1	5001	10796

prune827.0ms

Filtered

422 candidates to 180 candidates (42.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	421	1	422
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	421	3	424

Merged error: 0.0b

Counts

424 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
3.2b	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
30.1b	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
30.1b	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

811×	`*-un-lft-identity`
801×	`times-frac`
602×	`add-sqr-sqrt`
571×	`add-cube-cbrt`
546×	`sqrt-prod`
540×	`prod-diff`
117×	`distribute-lft-out`
45×	`div-inv`
18×	`associate-/r/`
11×	`difference-of-squares`
9×	`flip3-+` `fma-neg` `flip-+`
8×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 611

Calls

4 calls:

27.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
42.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
1.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
1.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

series378.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- 2.0 (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t))))
139.0ms	(- (sqrt 2.0) (sqrt (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
91.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))
99.0ms	(fma (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0) (- (/ (/ 2.0 t) (+ 1.0 (/ 1.0 t)))))

simplify238.0ms

Algorithm

egg-herbie

Counts

623 → 623

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2408	26767
1	5002	20616

prune1.6s

Filtered

623 candidates to 260 candidates (41.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	623	0	623
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	623	3	626

Merged error: 0.0b

Counts

626 → 3

regimes80.0ms

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	15	25
1	15	25

end0.0ms

sample393.0ms

Algorithm

intervals

Results

304.0ms

8000×

body

valid