Details

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	5

prune2.0ms

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
23×	`times-frac`
20×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
7×	`distribute-lft-out`
6×	`distribute-lft-out--`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-exp` `frac-add` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

6.0ms	(/ 1.0 (- x 1.0))
25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ 1.0 (- x 1.0))
7.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify166.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	283	365
1	983	346
2	4424	342
3	5002	342

prune82.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
142×	`times-frac`
140×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod`
31×	`distribute-lft-out--`
27×	`swap-sqr`
22×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
21×	`associate-r` `associate-l`
16×	`associate-/r/`
13×	`pow1`
8×	`div-inv` `distribute-lft-out`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `pow-unpow` `div-exp` `add-log-exp`
4×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `flip3-+` `unpow3` `flip-+` `sqr-pow`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `frac-sub`

Counts

4 → 237

Calls

4 calls:

26.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
8.0ms	(pow (/ x (+ x 1.0)) 3)
21.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
10.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))
3.0ms	(pow (/ x (+ x 1.0)) 3)
3.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
7.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify50.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1143	1854
1	5001	1628

prune541.0ms

Filtered

136 candidates to 249 candidates (-83.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	249	0	249
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	249	2	251

Merged error: 0b

Counts

251 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
55×	`times-frac`
35×	`distribute-lft-out`
28×	`add-sqr-sqrt`
22×	`cbrt-prod`
20×	`add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
14×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1` `associate-/r*`
4×	`difference-of-squares`
3×	`pow-unpow` `cbrt-div` `flip3-+` `frac-add` `flip-+` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
28.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
30.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
26.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ 1.0 (- x 1.0))
11.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
8.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	461	1017
1	1977	974
2	5003	968

prune151.0ms

Filtered

77 candidates to 136 candidates (-76.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0b

Counts

138 → 2

regimes52.0ms

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	19	22
1	19	22

end0.0ms

analyze3.0ms

Algorithm

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 99.993896%

sample319.0ms

Algorithm

intervals

Results

229.0ms

8000×

body

valid

Details

analyze3.0ms

sample12.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite33.0ms

series13.0ms

simplify166.0ms

prune82.0ms

localize14.0ms

rewrite76.0ms

series18.0ms

simplify50.0ms

prune541.0ms

localize9.0ms

rewrite95.0ms

series28.0ms

simplify57.0ms

prune151.0ms

regimes52.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze3.0ms

sample319.0ms

Profiling