Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	61×	body	640	valid
3.0ms	132×	body	80	valid
3.0ms	47×	body	320	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	4
1	12	4
2	12	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: 15.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
3.2b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

362×	`*-un-lft-identity`
358×	`times-frac`
265×	`add-sqr-sqrt`
253×	`add-cube-cbrt`
234×	`prod-diff`
49×	`distribute-lft-out`
35×	`div-inv`
30×	`associate-/r/`
18×	`fma-neg`
15×	`flip3-+` `flip-+`
8×	`distribute-lft-out--`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--`

Counts

2 → 314

Calls

2 calls:

5.0ms	(/ 1.0 (+ x 1.0))
22.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series91.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ 1.0 (+ x 1.0))
59.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify113.0ms

Algorithm

egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	873	6795
1	2645	4746
2	5001	3686

prune205.0ms

Filtered

320 candidates to 82 candidates (25.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	317	3	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	318	3	321

Merged error: 1.0b

Counts

321 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.9b	(- x (+ x 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

5.0ms	(* (+ x 1.0) x)
14.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms	(- x (+ x 1.0))

series91.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ x 1.0) x)
40.0ms	(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms	(- x (+ x 1.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	402	611
1	2289	439
2	5001	426

prune120.0ms

Filtered

93 candidates to 59 candidates (63.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.1b	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

959×	`times-frac`
669×	`*-un-lft-identity`
509×	`add-sqr-sqrt`
381×	`add-cube-cbrt`
86×	`associate-/l*`
80×	`distribute-lft-out`
64×	`distribute-lft-out--` `difference-of-squares`
37×	`associate-/r/`
29×	`associate-/r*`
22×	`div-inv`
16×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 478

Calls

2 calls:

10.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
26.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series70.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
44.0ms	(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify99.0ms

Algorithm

egg-herbie

Counts

484 → 484

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1596	5690
1	5002	5510

prune754.0ms

Filtered

484 candidates to 321 candidates (66.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	482	2	484
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	483	5	488

Merged error: 0b

Counts

488 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series774.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt x) (cbrt x))
185.0ms	(cbrt x)
184.0ms	(cbrt x)
190.0ms	(cbrt x)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune173.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes20.0ms

Accuracy

0% (0.1b 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	10	5
1	10	5

end0.0ms

sample470.0ms

Algorithm

intervals

Results

170.0ms	1921×	body	640	valid
99.0ms	4217×	body	80	valid
85.0ms	1239×	body	320	valid
28.0ms	624×	body	160	valid