Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

407×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `frac-times` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune111.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- (+ z 1) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`associate-r`
3×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `associate--l+` `distribute-lft-out--`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 29

Calls

1 calls:

9.0ms

(* x (- (+ z 1) y))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* x (- (+ z 1) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	141
1	589	124
2	3065	124
3	5002	124

prune50.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- t x))
0.3b	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
1.3b	(sqrt (* (- y z) (- t x)))
1.3b	(sqrt (* (- y z) (- t x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 201

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
24.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
7.0ms	(sqrt (* (- y z) (- t x)))
7.0ms	(sqrt (* (- y z) (- t x)))

series3.3s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (- y z) (- t x))
41.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
1.6s	(sqrt (* (- y z) (- t x)))
1.6s	(sqrt (* (- y z) (- t x)))

simplify95.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	524	2671
1	2087	2600
2	5001	2578

prune577.0ms

Filtered

213 candidates to 129 candidates (60.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	213	5	218

Merged error: 0b

Counts

218 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (- y z) (- t x)))) (pow (sqrt (sqrt (* (- y z) (- t x)))) 3))
0.4b	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
1.3b	(sqrt (* (- y z) (- t x)))
1.3b	(sqrt (* (- y z) (- t x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

320×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
80×	`cube-div`
50×	`associate-r/` `associate-l/`
38×	`add-sqr-sqrt`
37×	`sqrt-prod`
20×	`associate-r`
18×	`unpow-prod-down` `cube-prod`
16×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-exp-log` `sqrt-pow1`
7×	`associate-l` `add-cbrt-cube`
6×	`pow-pow`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-prod-down` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 215

Calls

4 calls:

28.0ms	(* (sqrt (sqrt (* (- y z) (- t x)))) (pow (sqrt (sqrt (* (- y z) (- t x)))) 3))
11.0ms	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
7.0ms	(sqrt (* (- y z) (- t x)))
8.0ms	(sqrt (* (- y z) (- t x)))

series3.8s

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (sqrt (* (- y z) (- t x)))) (pow (sqrt (sqrt (* (- y z) (- t x)))) 3))
474.0ms	(pow (sqrt (sqrt (* (- y z) (- t x)))) 3)
1.6s	(sqrt (* (- y z) (- t x)))
1.6s	(sqrt (* (- y z) (- t x)))

simplify147.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	887	4036
1	4364	3556
2	5001	3453

prune1.0s

Filtered

227 candidates to 170 candidates (74.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	227	5	232

Merged error: 0b

Counts

232 → 5

regimes139.0ms

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	10	4
1	10	4

end0.0ms

sample591.0ms

Algorithm

intervals

Results

293.0ms

12231×

body

valid