Details

sample52.0ms

Algorithm

intervals

Results

26.0ms	848×	body	80	nan
9.0ms	256×	body	80	valid

simplify6.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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))) x)
3.0ms	(sqrt (- 1.0 (* x x)))
18.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
19.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series770.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (sqrt (- 1.0 (* x x))) x)
58.0ms	(sqrt (- 1.0 (* x x)))
472.0ms	(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
106.0ms	(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	537	1057
1	1923	1003
2	5001	992

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (sqrt (- 1.0 (* x x))) x))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
5.6b	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
43×	`add-sqr-sqrt`
42×	`times-frac`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
28×	`sqrt-prod`
25×	`exp-sum`
8×	`pow1` `add-exp-log`
7×	`difference-of-squares`
6×	`log-div`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `log-pow`
2×	`exp-diff` `sqrt-div` `div-inv`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `frac-add` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

5.0ms	(log (/ (sqrt (- 1.0 (* x x))) x))
3.0ms	(sqrt (- 1.0 (* x x)))
21.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
6.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

series756.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(log (/ (sqrt (- 1.0 (* x x))) x))
55.0ms	(sqrt (- 1.0 (* x x)))
289.0ms	(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
129.0ms	(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	646	1304
1	2250	1218
2	5002	1187

prune355.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

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	10	7
1	10	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

732.0ms	24086×	body	80	nan
282.0ms	8000×	body	80	valid