Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
21×	`fma-def`
11×	`distribute-lft-out`
9×	`associate-/r*` `distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `frac-add` `sum-log`

Counts

3 → 114

Calls

3 calls:

5.0ms	(/ x (+ x 1.0))
5.0ms	(/ 1.0 (- x 1.0))
24.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ x (+ x 1.0))
28.0ms	(/ 1.0 (- x 1.0))
125.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	400	551
1	1470	525
2	5001	521

prune181.0ms

Filtered

123 candidates to 94 candidates (76.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	3	124

Merged error: 0b

Counts

124 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(log1p (/ x (+ x 1.0)))
0.0b	(+ (/ 1.0 (- x 1.0)) (expm1 (log1p (/ x (+ x 1.0)))))
0.0b	(expm1 (log1p (/ x (+ x 1.0))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
30×	`times-frac`
23×	`add-cube-cbrt`
21×	`fma-def`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`expm1-log1p-u` `associate-/r*`
4×	`pow1` `associate-/r/` `log1p-expm1-u`
3×	`associate-/l*`
2×	`flip3--` `flip--` `div-inv` `expm1-udef`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
1.0ms	(log1p (/ x (+ x 1.0)))
11.0ms	(+ (/ 1.0 (- x 1.0)) (expm1 (log1p (/ x (+ x 1.0)))))
1.0ms	(expm1 (log1p (/ x (+ x 1.0))))

series622.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
99.0ms	(log1p (/ x (+ x 1.0)))
353.0ms	(+ (/ 1.0 (- x 1.0)) (expm1 (log1p (/ x (+ x 1.0)))))
142.0ms	(expm1 (log1p (/ x (+ x 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	348	533
1	1174	491
2	5001	483

prune219.0ms

Filtered

109 candidates to 89 candidates (81.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
67×	`times-frac`
39×	`distribute-lft-out`
34×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`fma-def`
16×	`unpow-prod-down` `cube-prod`
13×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `associate-/r*` `associate-/r/` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-inv` `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` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

5.0ms	(/ x (+ x 1.0))
27.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
26.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
25.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series501.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x (+ x 1.0))
133.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
145.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
187.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify64.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	470	1012
1	1987	962
2	5001	956

prune243.0ms

Filtered

161 candidates to 100 candidates (62.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(+ (log1p (expm1 (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
0.0b	(expm1 (/ 1.0 (- x 1.0)))
0.0b	(log1p (expm1 (/ 1.0 (- x 1.0))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `times-frac`
7×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*` `log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-def` `associate-/l*`
2×	`log1p-udef` `sum-log` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

4 → 79

Calls

4 calls:

5.0ms	(/ 1.0 (- x 1.0))
8.0ms	(+ (log1p (expm1 (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
1.0ms	(expm1 (/ 1.0 (- x 1.0)))
1.0ms	(log1p (expm1 (/ 1.0 (- x 1.0))))

series613.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1.0 (- x 1.0))
337.0ms	(+ (log1p (expm1 (/ 1.0 (- x 1.0)))) (/ x (+ x 1.0)))
79.0ms	(expm1 (/ 1.0 (- x 1.0)))
169.0ms	(log1p (expm1 (/ 1.0 (- x 1.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	364	528
1	1236	486
2	5001	475

prune172.0ms

Filtered

91 candidates to 74 candidates (81.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 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	11	7
1	11	7

end0.0ms

sample269.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid