Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

405×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
80×	`distribute-lft-out`
54×	`associate-l`
19×	`add-log-exp`
10×	`sum-log`
8×	`associate-+l+`
6×	`+-commutative`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 78

Calls

3 calls:

32.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
12.0ms	(+ (* x y) (* z t))
24.0ms	(+ (+ (* x y) (* z t)) (* a b))

series313.0ms

Counts

3 → 9

Calls

3 calls:

220.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
34.0ms	(+ (* x y) (* z t))
58.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify141.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	270	582
1	1087	567
2	4853	561
3	5002	561

prune119.0ms

Filtered

87 candidates to 42 candidates (48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))
2.4b	(cbrt (+ (* x y) (* z t)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
70×	`associate-l`
60×	`distribute-lft-out`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
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 → 134

Calls

4 calls:

33.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
12.0ms	(cbrt (+ (* x y) (* z t)))
13.0ms	(cbrt (+ (* x y) (* z t)))
12.0ms	(cbrt (+ (* x y) (* z t)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
109.0ms	(cbrt (+ (* x y) (* z t)))
108.0ms	(cbrt (+ (* x y) (* z t)))
111.0ms	(cbrt (+ (* x y) (* z t)))

simplify114.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	321	1528
1	1075	1442
2	4149	1159
3	5001	1150

prune290.0ms

Filtered

146 candidates to 75 candidates (51.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	146	4	150

Merged error: 0.0b

Counts

150 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

790×	`*-un-lft-identity`
486×	`distribute-lft-out`
367×	`associate-l`
304×	`sqrt-prod`
128×	`swap-sqr`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div` `associate-r`
14×	`add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 271

Calls

4 calls:

24.0ms	(+ (+ (* x y) (* z t)) (* a b))
51.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
23.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
21.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series995.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (+ (* x y) (* z t)) (* a b))
59.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
435.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
442.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify70.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	286	2064
1	1241	1926
2	5001	1890

prune227.0ms

Filtered

283 candidates to 67 candidates (23.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	283	4	287

Merged error: 0.0b

Counts

287 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))
3.5b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
4.4b	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
41.7b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

1819×	`*-un-lft-identity`
1227×	`associate-l`
1045×	`distribute-lft-out`
460×	`unpow-prod-down`
378×	`times-frac`
92×	`pow-unpow` `sum-cubes`
61×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
42×	`associate-*r/`
32×	`frac-add`
28×	`flip3-+` `flip-+`
21×	`associate-/r*`
18×	`associate-r` `associate-/r/` `associate-/l*`
17×	`flip3--` `flip--`
16×	`frac-times`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
9×	`pow1`
8×	`associate-*l/` `add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`unswap-sqr`
4×	`+-commutative` `sub-neg` `associate-+l+` `associate-+r+`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sum-log` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 577

Calls

4 calls:

122.0ms	(+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))
28.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
31.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
163.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))))

series4.9s

Counts

4 → 12

Calls

4 calls:

763.0ms	(+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t))))
3.7s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
93.0ms	(* (* a b) (- (* a b) (+ (* x y) (* z t))))
431.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (* a b) (- (* a b) (+ (* x y) (* z t)))) (* (+ (* x y) (* z t)) (+ (* x y) (* z t)))))

simplify194.0ms

Algorithm

egg-herbie

Counts

589 → 589

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	997	15507
1	5002	14604

prune602.0ms

Filtered

589 candidates to 120 candidates (20.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	589	0	589
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	589	4	593

Merged error: 0.0b

Counts

593 → 4

regimes495.0ms

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	22	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

605.0ms

13644×

body

valid