Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

315×

body

valid

simplify28.0ms

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	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite21.0ms

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	(* (- 1.0 x) z)
14.0ms	(+ (* x y) (* (- 1.0 x) z))

series64.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 x) z)
35.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify93.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	177	207
1	743	190
2	3940	190
3	5002	190

prune53.0ms

Filtered

45 candidates to 28 candidates (62.2%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.2b	(* (* x y) (* x y))
3.6b	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
26.4b	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite674.0ms

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:

18.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
12.0ms	(* (* x y) (* x y))
113.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
174.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
35.0ms	(* (* x y) (* x y))
85.0ms	(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
127.0ms	(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify474.0ms

Algorithm

egg-herbie

Counts

2195 → 2195

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2173	40497
1	5001	40378

prune732.0ms

Filtered

2195 candidates to 246 candidates (11.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	2193	2	2195
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	2194	4	2198

Merged error: 0.0b

Counts

2198 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.2b	(* (* x y) (* x y))
13.2b	(/ (* (* x y) (* x y)) (- (* x y) (* (- 1.0 x) z)))
19.5b	(/ (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (- (* x y) (* (- 1.0 x) z)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

2490×	`add-sqr-sqrt`
2402×	`*-un-lft-identity`
1762×	`associate-l`
1352×	`times-frac`
968×	`distribute-lft-out--`
784×	`unswap-sqr`
750×	`associate-r`
510×	`swap-sqr`
498×	`add-cube-cbrt`
484×	`difference-of-squares`
150×	`*-commutative`
104×	`associate-/l*`
82×	`pow1`
64×	`add-exp-log` `add-cbrt-cube`
34×	`pow-prod-down`
32×	`prod-exp` `cbrt-unprod`
28×	`associate-*l/`
26×	`associate-/r*`
14×	`flip3--` `flip--`
10×	`cbrt-undiv` `div-exp`
8×	`frac-times` `pow-sqr` `pow-prod-up` `associate-/l/`
4×	`pow-plus` `associate-*r/` `associate-/r/` `add-log-exp`
2×	`pow2` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 1698

Calls

4 calls:

19.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
16.0ms	(* (* x y) (* x y))
43.0ms	(/ (* (* x y) (* x y)) (- (* x y) (* (- 1.0 x) z)))
57.0ms	(/ (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (- (* x y) (* (- 1.0 x) z)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (- 1.0 x) z) (* (- 1.0 x) z))
35.0ms	(* (* x y) (* x y))
90.0ms	(/ (* (* x y) (* x y)) (- (* x y) (* (- 1.0 x) z)))
113.0ms	(/ (* (* (- 1.0 x) z) (* (- 1.0 x) z)) (- (* x y) (* (- 1.0 x) z)))

simplify319.0ms

Algorithm

egg-herbie

Counts

1710 → 1710

Iterations

Useful iterations: 1 (79.0ms)

Iter	Nodes	Cost
0	3615	24737
1	5002	24556

prune2.2s

Filtered

1710 candidates to 619 candidates (36.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1710	0	1710
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	1710	4	1714

Merged error: 0.0b

Counts

1714 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
59×	`associate-l`
57×	`pow1`
35×	`associate-r`
28×	`sqrt-pow1`
25×	`swap-sqr`
24×	`add-cube-cbrt`
22×	`pow-prod-down`
21×	`unswap-sqr`
18×	`associate-*l/`
12×	`sqrt-div`
10×	`add-exp-log` `pow1/2` `pow-prod-up` `add-cbrt-cube` `distribute-lft-out--`
8×	`flip3--` `flip--`
7×	`*-commutative`
6×	`pow-sqr` `add-log-exp` `difference-of-squares`
4×	`frac-times` `distribute-lft-out`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `sum-log` `rem-square-sqrt` `flip-+`

Counts

4 → 171

Calls

4 calls:

6.0ms	(* (- 1.0 x) z)
6.0ms	(* (- 1.0 x) z)
52.0ms	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
23.0ms	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- 1.0 x) z)
34.0ms	(* (- 1.0 x) z)
37.0ms	(+ (* x y) (* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z))))
72.0ms	(* (sqrt (* (- 1.0 x) z)) (sqrt (* (- 1.0 x) z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	337	982
1	1671	878
2	5001	864

prune242.0ms

Filtered

183 candidates to 102 candidates (55.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	183	4	187

Merged error: 0.0b

Counts

187 → 4

regimes77.0ms

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

sample456.0ms

Algorithm

intervals

Results

236.0ms

10090×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4