Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

404×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune2.0ms

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 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
22×	`distribute-lft-out`
17×	`associate-l`
9×	`add-log-exp`
4×	`sum-log`
3×	`+-commutative`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 39

Calls

2 calls:

24.0ms	(+ (+ (* x y) (* z t)) (* a b))
12.0ms	(+ (* x y) (* z t))

series93.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ (+ (* x y) (* z t)) (* a b))
35.0ms	(+ (* x y) (* z t))

simplify75.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	175	255
1	686	244
2	2472	242
3	5001	242

prune58.0ms

Filtered

45 candidates to 26 candidates (42.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

791×	`*-un-lft-identity`
486×	`distribute-lft-out`
367×	`associate-l`
315×	`cbrt-prod`
126×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
16×	`associate-r`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 260

Calls

4 calls:

19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
23.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
51.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
120.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
119.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
206.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))

simplify71.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	319	3846
1	1141	3713
2	5001	2499

prune236.0ms

Filtered

272 candidates to 75 candidates (72.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	267	5	272
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	269	6	275

Merged error: 0.0b

Counts

275 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.9b	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
116×	`cbrt-prod`
72×	`distribute-lft-out`
52×	`associate-l`
19×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

23.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
21.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
20.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
23.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

series619.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
120.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
119.0ms	(cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b))))
257.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

simplify102.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	255	1414
1	788	1347
2	2976	1210
3	5001	1203

prune253.0ms

Filtered

124 candidates to 62 candidates (50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
0.5b	(cbrt (- (+ (* x y) (* z t)) (* a b)))
3.7b	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
26.4b	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

19252×	`*-un-lft-identity`
9293×	`associate-l`
6273×	`cbrt-prod`
5358×	`distribute-lft-out`
5037×	`swap-sqr`
4508×	`add-sqr-sqrt`
4444×	`distribute-lft-out--`
3050×	`times-frac`
3048×	`associate-r`
1540×	`unswap-sqr`
1381×	`difference-of-squares`
508×	`associate-/l*`
398×	`cbrt-div`
395×	`add-cube-cbrt`
384×	`frac-times`
323×	`*-commutative`
193×	`flip3-+` `flip-+`
192×	`associate-*r/`
54×	`associate-/r*`
19×	`add-cbrt-cube`
10×	`cbrt-unprod`
9×	`add-exp-log`
8×	`cbrt-undiv`
7×	`flip3--` `flip--`
6×	`pow1` `associate-/l/` `add-log-exp`
4×	`associate--l+` `clear-num`
3×	`frac-2neg`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-*l/` `prod-exp` `associate-/r/` `un-div-inv`
1×	`sub-neg` `diff-log` `div-exp` `pow-prod-down` `div-inv`

Counts

4 → 4055

Calls

4 calls:

1.2s	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
22.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
119.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
120.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

series2.2s

Counts

4 → 12

Calls

4 calls:

1.4s	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (/ (cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))) (cbrt (- (+ (* x y) (* z t)) (* a b)))))
127.0ms	(cbrt (- (+ (* x y) (* z t)) (* a b)))
475.0ms	(- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b)))
193.0ms	(cbrt (- (* (+ (* x y) (* z t)) (+ (* x y) (* z t))) (* (* a b) (* a b))))

simplify748.0ms

Algorithm

egg-herbie

Counts

4067 → 4067

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2073	69624
1	5001	67409

prune1.8s

Filtered

4067 candidates to 374 candidates (90.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	4065	2	4067
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	4068	5	4073

Merged error: 0.0b

Counts

4073 → 5

regimes371.0ms

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	16	5
1	16	5

end0.0ms

sample756.0ms

Algorithm

intervals

Results

361.0ms

11913×

body

valid