Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

320×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
16.0ms	(+ (* x y) (* (- x 1.0) z))

series67.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (- x 1.0) z)
35.0ms	(+ (* x y) (* (- x 1.0) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	179	207
1	742	190
2	3888	190
3	5002	190

prune57.0ms

Filtered

45 candidates to 28 candidates (37.8%)

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: 0.0b

Counts

46 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- x 1.0) z) (* (- x 1.0) z))
0.2b	(* (* x y) (* x y))
2.4b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.2b	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite720.0ms

Algorithm

rewrite-expression-head

Rules

6949×	`add-sqr-sqrt`
4990×	`*-un-lft-identity`
3256×	`unswap-sqr`
2664×	`associate-l`
2197×	`distribute-lft-out--`
1751×	`difference-of-squares`
1716×	`times-frac`
1654×	`swap-sqr`
280×	`*-commutative`
175×	`add-cube-cbrt`
132×	`associate-/l*`
82×	`pow1`
50×	`associate-r`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`associate-/r*`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
4×	`frac-times` `pow-plus`
2×	`pow2` `associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 2183

Calls

4 calls:

20.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
12.0ms	(* (* x y) (* x y))
124.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
190.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
36.0ms	(* (* x y) (* x y))
88.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
122.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify469.0ms

Algorithm

egg-herbie

Counts

2195 → 2195

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2173	40497
1	5001	40375

prune895.0ms

Filtered

2195 candidates to 246 candidates (88.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	2194	1	2195
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	2195	4	2199

Merged error: 0b

Counts

2199 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
0.1b	(* (- x 1.0) (sqrt z))
0.2b	(* (* (- x 1.0) (sqrt z)) (sqrt z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
40×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
18×	`associate-r`
16×	`sqrt-prod`
14×	`unswap-sqr`
12×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
6×	`associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
3×	`*-commutative`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 91

Calls

3 calls:

32.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
8.0ms	(* (- x 1.0) (sqrt z))
14.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (* x y) (* (* (- x 1.0) (sqrt z)) (sqrt z)))
51.0ms	(* (- x 1.0) (sqrt z))
38.0ms	(* (* (- x 1.0) (sqrt z)) (sqrt z))

simplify47.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	341	619
1	1333	519
2	5002	506

prune128.0ms

Filtered

100 candidates to 61 candidates (39.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	4	104

Merged error: 0b

Counts

104 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- (* x y) (* (- x 1.0) z)))
0.2b	(* (* x y) (* x y))
2.4b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.2b	(* (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (/ 1 (- (* x y) (* (- x 1.0) z))))

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

889×	`add-sqr-sqrt`
594×	`*-un-lft-identity`
450×	`associate-l`
415×	`unswap-sqr`
230×	`swap-sqr` `distribute-lft-out--`
202×	`difference-of-squares`
80×	`times-frac`
69×	`associate-r`
58×	`add-cube-cbrt`
52×	`associate-/r*`
46×	`pow1`
42×	`*-commutative`
38×	`frac-times`
29×	`add-exp-log`
23×	`flip3--` `add-cbrt-cube` `flip--`
19×	`associate-*r/`
18×	`pow-prod-down`
13×	`associate-/l*`
12×	`prod-exp`
10×	`cbrt-unprod`
6×	`add-log-exp`
5×	`clear-num`
4×	`frac-2neg` `div-exp` `associate-/r/` `pow-sqr` `pow-prod-up`
3×	`un-div-inv`
2×	`cbrt-undiv` `rec-exp` `pow-plus` `1-exp` `associate-*l/` `div-inv`
1×	`pow2` `sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

4 → 544

Calls

4 calls:

18.0ms	(/ 1 (- (* x y) (* (- x 1.0) z)))
12.0ms	(* (* x y) (* x y))
122.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
225.0ms	(* (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (/ 1 (- (* x y) (* (- x 1.0) z))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ 1 (- (* x y) (* (- x 1.0) z)))
32.0ms	(* (* x y) (* x y))
88.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
127.0ms	(* (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (/ 1 (- (* x y) (* (- x 1.0) z))))

simplify102.0ms

Algorithm

egg-herbie

Counts

556 → 556

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1106	7252
1	5001	6014

prune533.0ms

Filtered

556 candidates to 199 candidates (64.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	556	0	556
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	556	4	560

Merged error: 0b

Counts

560 → 4

regimes76.0ms

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	11	4
1	11	4

end0.0ms

sample474.0ms

Algorithm

intervals

Results

250.0ms

10161×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4