Details

sample13.0ms

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

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

8.0ms	(/ 1.0 (- x 1.0))
22.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))

series11.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms	(/ x (+ x 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	379	534
1	1365	507
2	5001	502

prune114.0ms

Filtered

96 candidates to 70 candidates (27.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
51×	`times-frac`
34×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
25×	`distribute-lft-out`
10×	`distribute-lft-out--`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`unpow-prod-down` `cube-prod`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `difference-of-squares`
3×	`cube-div` `pow-unpow` `flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `frac-add` `clear-num` `div-inv`
1×	`+-commutative` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `unpow3` `pow-exp` `sum-log` `flip--` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
22.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ x (+ x 1.0))
27.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series18.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms	(/ x (+ x 1.0))
7.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify66.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	513	858
1	2260	808
2	5002	804

prune173.0ms

Filtered

135 candidates to 87 candidates (35.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Merged error: 0b

Counts

137 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
0.4b	(cbrt (/ x (+ x 1.0)))
0.4b	(cbrt (/ x (+ x 1.0)))
0.4b	(cbrt (/ x (+ x 1.0)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

19.0ms	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
4.0ms	(cbrt (/ x (+ x 1.0)))
4.0ms	(cbrt (/ x (+ x 1.0)))
5.0ms	(cbrt (/ x (+ x 1.0)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cbrt (/ x (+ x 1.0))) (cbrt (/ x (+ x 1.0))))
8.0ms	(cbrt (/ x (+ x 1.0)))
8.0ms	(cbrt (/ x (+ x 1.0)))
12.0ms	(cbrt (/ x (+ x 1.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	429	1884
1	1582	1796
2	5001	1726

prune396.0ms

Filtered

192 candidates to 138 candidates (28.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	192	2	194

Merged error: 0b

Counts

194 → 2

regimes48.0ms

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	12	7
1	12	7

end0.0ms

sample338.0ms

Algorithm

intervals

Results

218.0ms

8000×

body

valid

Details

sample13.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite37.0ms

series11.0ms

simplify40.0ms

prune114.0ms

localize9.0ms

rewrite64.0ms

series18.0ms

simplify66.0ms

prune173.0ms

localize10.0ms

rewrite42.0ms

series37.0ms

simplify61.0ms

prune396.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample338.0ms

Profiling