Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

365×

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 (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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

13.0ms	(+ (* x y) (* z t))
22.0ms	(+ (+ (* x y) (* z t)) (* a b))

series92.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

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

prune65.0ms

Filtered

45 candidates to 26 candidates (57.8%)

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))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite336.0ms

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:

53.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
23.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
21.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
20.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series581.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
121.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
124.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
129.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify72.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (36.0ms)

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

prune219.0ms

Filtered

272 candidates to 75 candidates (27.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	270	2	272
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	271	4	275

Merged error: 0.0b

Counts

275 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.6b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

120×	`*-un-lft-identity`
72×	`distribute-lft-out`
52×	`cbrt-prod` `associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

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

series497.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
126.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
122.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
123.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify148.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 4 (137.0ms)

Iter	Nodes	Cost
0	149	980
1	402	928
2	1308	896
3	4581	892
4	5001	888

prune220.0ms

Filtered

104 candidates to 60 candidates (57.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Merged error: 0.0b

Counts

108 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* x y) (* z t)) 3)
1.0b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.7b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
42.9b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

1797×	`*-un-lft-identity`
1203×	`associate-l`
1041×	`distribute-lft-out`
467×	`unpow-prod-down`
378×	`times-frac`
95×	`pow-unpow`
92×	`sum-cubes`
47×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/r*`
18×	`associate-/l*`
8×	`associate-+l+` `add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate--l+` `flip-+`
2×	`sub-neg` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 519

Calls

4 calls:

13.0ms	(pow (+ (* x y) (* z t)) 3)
100.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
32.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
141.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series4.7s

Counts

4 → 12

Calls

4 calls:

132.0ms	(pow (+ (* x y) (* z t)) 3)
725.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.4s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
421.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify195.0ms

Algorithm

egg-herbie

Counts

531 → 531

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	585	12287
1	2530	12090
2	5002	11814

prune306.0ms

Filtered

531 candidates to 83 candidates (15.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	530	1	531
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	531	4	535

Merged error: 0.0b

Counts

535 → 4

regimes332.0ms

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

sample736.0ms

Algorithm

intervals

Results

359.0ms

11837×

body

valid