Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

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: 3.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

208×	`add-sqr-sqrt`
144×	`prod-diff`
136×	`*-un-lft-identity`
98×	`associate-l`
96×	`add-cube-cbrt`
78×	`associate-r`
46×	`unswap-sqr`
33×	`times-frac`
26×	`*-commutative`
20×	`distribute-lft-out--` `difference-of-squares`
12×	`fma-neg`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `clear-num` `cbrt-unprod` `div-inv`

Counts

3 → 262

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* 1.1283791670955126 (exp z))
60.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
77.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	711	3473
1	2190	2580
2	5002	2405

prune276.0ms

Filtered

271 candidates to 100 candidates (36.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	264	7	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	265	7	272

Merged error: 1.5b

Counts

272 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

465×	`add-sqr-sqrt`
350×	`*-un-lft-identity`
276×	`times-frac`
197×	`add-cube-cbrt`
154×	`associate-l`
144×	`prod-diff`
98×	`unswap-sqr`
78×	`associate-r`
76×	`distribute-lft-out--`
72×	`difference-of-squares`
43×	`associate-/r*`
30×	`associate-/l*`
26×	`*-commutative`
20×	`add-exp-log`
19×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`fma-neg`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `remove-double-div` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `clear-num` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `frac-2neg` `flip--`
2×	`rec-exp` `1-exp` `prod-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `cbrt-unprod` `inv-pow`

Counts

4 → 461

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
27.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
26.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series211.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 1.1283791670955126 (exp z))
48.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
80.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify157.0ms

Algorithm

egg-herbie

Counts

473 → 473

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1191	5802
1	4709	4659
2	5001	4659

prune568.0ms

Filtered

473 candidates to 201 candidates (42.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	471	2	473
Fresh	6	0	6
Picked	1	0	1
Done	0	0	0
Total	478	2	480

Merged error: 0b

Counts

480 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

203×	`add-sqr-sqrt`
139×	`*-un-lft-identity`
115×	`times-frac`
106×	`add-cube-cbrt`
69×	`prod-diff`
65×	`associate-r`
27×	`sqrt-prod`
26×	`unswap-sqr`
24×	`difference-of-squares`
23×	`fma-neg` `associate-l`
16×	`add-exp-log` `distribute-lft-out--`
14×	`associate-/r*`
13×	`add-cbrt-cube` `associate-/l*`
9×	`associate-*r/`
7×	`div-inv`
6×	`pow1` `add-log-exp`
5×	`div-exp` `*-commutative`
4×	`expm1-log1p-u` `clear-num` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `prod-exp`
2×	`flip3--` `associate-/r/` `un-div-inv` `flip--` `cbrt-unprod`
1×	`sub-neg` `diff-log` `pow-prod-down`

Counts

4 → 264

Calls

4 calls:

18.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
7.0ms	(/ (exp z) y)
18.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series157.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
18.0ms	(/ (exp z) y)
69.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify96.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	672	2720
1	2460	2212
2	5002	1930

prune376.0ms

Filtered

276 candidates to 138 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	276	0	276
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	276	2	278

Merged error: 0b

Counts

278 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

208×	`add-sqr-sqrt`
144×	`prod-diff`
136×	`*-un-lft-identity`
98×	`associate-l`
96×	`add-cube-cbrt`
78×	`associate-r`
46×	`unswap-sqr`
33×	`times-frac`
26×	`*-commutative`
20×	`distribute-lft-out--` `difference-of-squares`
12×	`fma-neg`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `clear-num` `cbrt-unprod` `div-inv`

Counts

3 → 262

Calls

3 calls:

5.0ms	(* 1.1283791670955126 (exp z))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
74.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	711	3473
1	2190	2580
2	5002	2405

prune258.0ms

Filtered

271 candidates to 100 candidates (36.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	271	2	273

Merged error: 0b

Counts

273 → 2

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample449.0ms

Algorithm

intervals

Results

271.0ms

8000×

body

valid