Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

312×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	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: 9.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- y z) 1.0)
0.0b	(* x (+ (- y z) 1.0))
8.8b	(/ (* x (+ (- y z) 1.0)) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
42×	`times-frac`
33×	`associate-+l+`
27×	`prod-diff`
25×	`associate-r`
15×	`associate-l`
14×	`associate-/l*`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`distribute-lft-out--`
5×	`pow1` `fma-def` `*-commutative` `unswap-sqr`
4×	`associate-*r/`
3×	`+-commutative` `expm1-log1p-u` `sub-neg` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-log` `cbrt-unprod` `associate-/l/`
1×	`associate-+l-` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `div-inv` `difference-of-squares`

Counts

3 → 160

Calls

3 calls:

9.0ms	(+ (- y z) 1.0)
11.0ms	(* x (+ (- y z) 1.0))
22.0ms	(/ (* x (+ (- y z) 1.0)) z)

series104.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+ (- y z) 1.0)
41.0ms	(* x (+ (- y z) 1.0))
46.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify94.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	508	1150
1	2507	932
2	5002	932

prune216.0ms

Filtered

169 candidates to 105 candidates (37.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	6	170

Merged error: 0b

Counts

170 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- y z) 1.0)
0.0b	(/ z (+ (- y z) 1.0))
1.5b	(/ (* x 1) (/ z (+ (- y z) 1.0)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

498×	`times-frac`
478×	`*-un-lft-identity`
282×	`add-sqr-sqrt`
214×	`add-cube-cbrt`
96×	`distribute-lft-out`
66×	`associate-r` `associate-l`
49×	`distribute-lft-out--`
44×	`unswap-sqr`
41×	`associate-/r/`
31×	`associate-/r*`
22×	`add-exp-log` `*-commutative`
19×	`associate-/l*`
17×	`add-cbrt-cube`
16×	`flip3-+` `flip-+` `div-inv`
11×	`associate-+l+`
10×	`div-exp`
9×	`prod-diff`
8×	`add-log-exp`
7×	`cbrt-undiv`
5×	`fma-def`
4×	`prod-exp`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u`
2×	`1-exp` `sum-log` `cbrt-unprod`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `difference-of-squares`

Counts

3 → 412

Calls

3 calls:

9.0ms	(+ (- y z) 1.0)
8.0ms	(/ z (+ (- y z) 1.0))
25.0ms	(/ (* x 1) (/ z (+ (- y z) 1.0)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (- y z) 1.0)
54.0ms	(/ z (+ (- y z) 1.0))
54.0ms	(/ (* x 1) (/ z (+ (- y z) 1.0)))

simplify82.0ms

Algorithm

egg-herbie

Counts

421 → 421

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1220	3947
1	5001	3596

prune362.0ms

Filtered

421 candidates to 161 candidates (61.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	419	2	421
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	421	6	427

Merged error: 0b

Counts

427 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- y z) 1.0)
0.0b	(/ (+ (- y z) 1.0) z)
1.6b	(* (* x 1) (/ (+ (- y z) 1.0) z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`times-frac`
22×	`add-exp-log` `associate-r`
20×	`distribute-lft-out`
17×	`add-cbrt-cube`
16×	`associate-l`
13×	`associate-r/` `associate-/l`
12×	`unswap-sqr`
11×	`associate-+l+` `distribute-lft-out--`
10×	`prod-exp`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-/r*` `cbrt-unprod`
5×	`fma-def`
4×	`div-exp` `un-div-inv` `associate-/l/`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `pow-prod-down` `clear-num` `flip-+` `log1p-expm1-u`
2×	`associate-+l-` `frac-2neg` `1-exp` `sum-log` `*-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `div-sub` `difference-of-squares`

Counts

3 → 150

Calls

3 calls:

11.0ms	(+ (- y z) 1.0)
11.0ms	(/ (+ (- y z) 1.0) z)
22.0ms	(* (* x 1) (/ (+ (- y z) 1.0) z))

series96.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (- y z) 1.0)
33.0ms	(/ (+ (- y z) 1.0) z)
46.0ms	(* (* x 1) (/ (+ (- y z) 1.0) z))

simplify93.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	521	859
1	2337	727
2	5002	725

prune205.0ms

Filtered

159 candidates to 99 candidates (37.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	159	6	165

Merged error: 0b

Counts

165 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- y z) 1.0)
0.1b	(* (+ (- y z) 1.0) (/ 1 z))
1.6b	(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
62×	`add-exp-log`
55×	`associate-r`
50×	`associate-*r/`
42×	`add-cube-cbrt`
41×	`prod-exp`
37×	`unswap-sqr`
36×	`frac-times`
29×	`add-cbrt-cube`
28×	`times-frac`
26×	`associate-l`
21×	`flip3-+` `flip-+`
20×	`associate-/l*`
18×	`associate-/r*`
17×	`pow1`
15×	`cbrt-unprod`
11×	`associate-+l+`
9×	`1-exp` `prod-diff` `pow-prod-down`
8×	`div-exp` `clear-num` `add-log-exp`
6×	`frac-2neg` `un-div-inv` `distribute-lft-out`
5×	`fma-def`
4×	`rec-exp` `associate-l/` `-commutative` `distribute-lft-out--`
3×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
2×	`sum-log` `div-inv`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `difference-of-squares`

Counts

3 → 221

Calls

3 calls:

8.0ms	(+ (- y z) 1.0)
18.0ms	(* (+ (- y z) 1.0) (/ 1 z))
33.0ms	(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (- y z) 1.0)
33.0ms	(* (+ (- y z) 1.0) (/ 1 z))
46.0ms	(* (* x 1) (* (+ (- y z) 1.0) (/ 1 z)))

simplify117.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	852	1574
1	3797	1299
2	5001	1245

prune511.0ms

Filtered

230 candidates to 138 candidates (40.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	230	6	236

Merged error: 0b

Counts

236 → 6

regimes130.0ms

Accuracy

97.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.1b

bsearch82.0ms

Steps

Iters	Range		Point
8	1.0035131970971057e-07	0.0002664861222813985	1.8069642135443806e-06
9	-145180044356031.62	-3082808.993858609	-11400309608.36395

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	31	9
2	31	9

end0.0ms

sample476.0ms

Algorithm

intervals

Results

263.0ms

10115×

body

valid