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

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))

rewrite28.0ms

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:

21.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
5.0ms	(/ 1.0 (- x 1.0))

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms	(/ 1.0 (- x 1.0))

simplify166.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (24.0ms)

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

prune79.0ms

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

localize9.0ms

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 90

Calls

3 calls:

5.0ms	(/ 1.0 (- x 1.0))
21.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
26.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/ 1.0 (- x 1.0))
6.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
8.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	417	689
1	1841	647
2	5003	643

prune128.0ms

Filtered

61 candidates to 99 candidates (-62.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize9.0ms

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))
3.6b	(log (exp (/ 1.0 (- x 1.0))))

rewrite52.0ms

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:

29.0ms	(+ (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))
7.0ms	(log (exp (/ 1.0 (- x 1.0))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify181.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (28.0ms)

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

prune200.0ms

Filtered

100 candidates to 127 candidates (-27.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Merged error: 0b

Counts

129 → 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

sample340.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid

Details

sample13.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite28.0ms

series12.0ms

simplify166.0ms

prune79.0ms

localize9.0ms

rewrite55.0ms

series16.0ms

simplify55.0ms

prune128.0ms

localize9.0ms

rewrite52.0ms

series14.0ms

simplify181.0ms

prune200.0ms

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample340.0ms

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