Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

7.0ms

(/ (+ x 1.0) (- 1.0 x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify88.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292

prune68.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b	(/ (+ x 1.0) (- 1.0 x))
1.2b	(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/l*`
3×	`pow1` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `flip3-+` `log1p-expm1` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

3 → 69

Calls

3 calls:

1.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
7.0ms	(/ (+ x 1.0) (- 1.0 x))
1.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms	(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
33.0ms	(/ (+ x 1.0) (- 1.0 x))
103.0ms	(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	378	521
1	1270	479
2	5001	451

prune124.0ms

Filtered

78 candidates to 58 candidates (74.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (- (* 1.0 1.0) (* x 1.0)))
0.0b	(* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x))
21.0b	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
9×	`times-frac` `associate-/l*`
8×	`unpow-prod-down` `cube-prod`
5×	`pow1` `associate-r`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `sum-cubes` `flip--` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `flip-+` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

1.0ms	(fma x x (- (* 1.0 1.0) (* x 1.0)))
7.0ms	(* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x))
17.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(fma x x (- (* 1.0 1.0) (* x 1.0)))
40.0ms	(* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x))
76.0ms	(/ (+ (pow x 3) (pow 1.0 3)) (* (fma x x (- (* 1.0 1.0) (* x 1.0))) (- 1.0 x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	399	1249
1	2031	922
2	5001	917

prune173.0ms

Filtered

104 candidates to 64 candidates (61.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Merged error: 0b

Counts

107 → 3

regimes23.0ms

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	6	3
1	6	3

end0.0ms

sample242.0ms

Algorithm

intervals

Results

151.0ms

8000×

body

valid

Details

sample11.0ms

simplify5.0ms

prune1.0ms

localize4.0ms

rewrite9.0ms

series36.0ms

simplify88.0ms

prune68.0ms

localize7.0ms

rewrite11.0ms

series279.0ms

simplify40.0ms

prune124.0ms

localize15.0ms

rewrite28.0ms

series143.0ms

simplify68.0ms

prune173.0ms

regimes23.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample242.0ms

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