Details

sample50.0ms

Algorithm

intervals

Results

25.0ms	757×	body	80	nan
9.0ms	256×	body	80	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	16	7
2	18	7
3	18	7

prune2.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
42×	`times-frac`
39×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
20×	`sqrt-prod`
13×	`fma-def`
8×	`log-prod` `distribute-lft-out`
7×	`add-exp-log` `associate-/l*`
6×	`pow1` `add-cbrt-cube` `div-inv` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u`
3×	`log-div` `associate-/r*`
2×	`distribute-rgt-out` `flip3--` `flip3-+` `frac-add` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp` `clear-num` `sum-log` `log-pow`

Counts

4 → 119

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* x x)))
18.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
5.0ms	(/ (sqrt (- 1.0 (* x x))) x)
20.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series590.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (- 1.0 (* x x)))
293.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
132.0ms	(/ (sqrt (- 1.0 (* x x))) x)
104.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify53.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	537	1058
1	1905	1003
2	5001	992

prune286.0ms

Filtered

131 candidates to 109 candidates (83.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Merged error: 0b

Counts

132 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
0.0b	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
5.9b	(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`times-frac`
34×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
16×	`sqrt-prod`
13×	`fma-def`
7×	`add-exp-log` `associate-/l*`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `distribute-lft-out` `difference-of-squares`
3×	`log-prod` `associate-/r*`
2×	`sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `expm1-log1p` `distribute-rgt-out` `flip3--` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `frac-add` `clear-num` `sum-log` `log-pow` `flip--` `flip-+` `expm1-udef`

Counts

4 → 104

Calls

4 calls:

6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
1.0ms	(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
23.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
1.0ms	(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (sqrt (- 1.0 (* x x))) x)
576.0ms	(log (expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
103.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
271.0ms	(expm1 (log1p (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify57.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	573	1049
1	2123	979
2	5002	962

prune310.0ms

Filtered

116 candidates to 99 candidates (85.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	116	2	118

Merged error: 0b

Counts

118 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
0.0b	(/ (sqrt (- 1.0 (* x x))) x)
0.0b	(+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x))))
5.7b	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
50×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
43×	`add-cube-cbrt`
29×	`log-prod`
28×	`sqrt-prod`
25×	`exp-sum`
13×	`fma-def`
7×	`add-exp-log` `associate-/l*` `difference-of-squares`
6×	`pow1` `log-div` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u`
3×	`exp-diff` `associate-/r*` `div-inv`
2×	`flip3-+` `sqrt-div` `frac-add` `log-pow` `flip-+` `associate-/l/` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 133

Calls

4 calls:

26.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
6.0ms	(/ (sqrt (- 1.0 (* x x))) x)
25.0ms	(+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x))))
7.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
128.0ms	(/ (sqrt (- 1.0 (* x x))) x)
109.0ms	(+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x))))
132.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	597	1337
1	2051	1244
2	5001	1220

prune359.0ms

Filtered

145 candidates to 118 candidates (81.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Merged error: 0b

Counts

147 → 2

regimes32.0ms

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	9
1	12	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

720.0ms	23971×	body	80	nan
284.0ms	8000×	body	80	valid