Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

371×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite38.0ms

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:

16.0ms	(+ (* x y) (* z t))
20.0ms	(+ (+ (* x y) (* z t)) (* a b))

series92.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x y) (* z t))
53.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify91.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	187	255
1	747	244
2	2644	242
3	5001	242

prune86.0ms

Filtered

45 candidates to 26 candidates (57.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Merged error: 0b

Counts

46 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

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:

50.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
19.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
119.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
118.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
121.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify70.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	324	3846
1	1173	3713
2	5002	2499

prune306.0ms

Filtered

272 candidates to 75 candidates (27.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	272	0	272
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	272	4	276

Merged error: 0b

Counts

276 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

12.0ms	(+ (* x y) (* z t))
34.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
12.0ms	(sqrt (+ (* x y) (* z t)))
13.0ms	(sqrt (+ (* x y) (* z t)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x y) (* z t))
34.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
77.0ms	(sqrt (+ (* x y) (* z t)))
76.0ms	(sqrt (+ (* x y) (* z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	237	928
1	959	842
2	5002	818

prune254.0ms

Filtered

154 candidates to 65 candidates (42.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
1.4b	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.6b	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
37.9b	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

5227×	`*-un-lft-identity`
3470×	`associate-l`
3191×	`distribute-lft-out`
1008×	`times-frac`
920×	`unpow-prod-down` `cube-prod`
92×	`pow-unpow` `sum-cubes`
84×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
48×	`associate-/l*`
21×	`associate-/r*`
15×	`associate-r`
10×	`distribute-lft-out--`
8×	`add-exp-log` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate--l+` `add-cbrt-cube` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `+-commutative`
4×	`frac-times` `sub-neg`
3×	`flip3--` `flip--`
2×	`associate-r/` `associate-l/` `sum-log` `associate-/r/` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 1236

Calls

4 calls:

37.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
93.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
47.0ms	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
163.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

series4.8s

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b)))
690.0ms	(+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b)))
3.5s	(+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3))
422.0ms	(/ (+ (pow (+ (* x y) (* z t)) 3) (pow (* a b) 3)) (+ (* (+ (* t z) (* x y)) (- (+ (* x y) (* z t)) (* a b))) (* (* a b) (* a b))))

simplify383.0ms

Algorithm

egg-herbie

Counts

1248 → 1248

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	761	28206
1	3878	27990
2	5003	27115

prune492.0ms

Filtered

1248 candidates to 98 candidates (7.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1248	0	1248
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	1248	4	1252

Merged error: 0b

Counts

1252 → 4

regimes282.0ms

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

sample791.0ms

Algorithm

intervals

Results

363.0ms

11735×

body

valid