Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune1.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

25.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series148.0ms

Counts

2 → 6

Calls

2 calls:

120.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
28.0ms	(/ 1.0 (- x 1.0))

simplify165.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	283	365
1	983	346
2	4438	342
3	5002	342

prune90.0ms

Filtered

60 candidates to 44 candidates (73.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(exp (/ 1.0 (- x 1.0)))
0.0b	(/ 1.0 (- x 1.0))
2.1b	(log (exp (/ 1.0 (- x 1.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
45×	`times-frac`
42×	`exp-prod`
34×	`add-cube-cbrt`
23×	`log-pow`
10×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-exp-log` `log-prod` `associate-/r/` `add-cbrt-cube` `add-log-exp`
5×	`associate-/r*`
3×	`associate-+l+` `flip3--` `flip--` `div-inv` `associate-/l*`
2×	`distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip-+` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

31.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
6.0ms	(exp (/ 1.0 (- x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(log (exp (/ 1.0 (- x 1.0))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (log (exp (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
40.0ms	(exp (/ 1.0 (- x 1.0)))
27.0ms	(/ 1.0 (- x 1.0))
33.0ms	(log (exp (/ 1.0 (- x 1.0))))

simplify179.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	368	712
1	1121	660
2	4761	647
3	5002	647

prune235.0ms

Filtered

127 candidates to 98 candidates (77.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- 2.0) (+ (pow x 2) (pow x 4)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r`
3×	`pow1` `add-exp-log` `distribute-lft-neg-in` `distribute-rgt-neg-in` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-lft-neg-out` `distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 31

Calls

1 calls:

14.0ms

(* (- 2.0) (+ (pow x 2) (pow x 4)))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(* (- 2.0) (+ (pow x 2) (pow x 4)))

simplify34.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	208	213
1	1071	195
2	5002	194

prune61.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Merged error: 0b

Counts

37 → 3

regimes24.0ms

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	9	5
1	9	5

end0.0ms

sample272.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid