Details

sample18.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
4.0ms	263×	body	80	nan

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	3
1	11	3
2	13	3
3	13	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

1 → 18

Calls

1 calls:

7.0ms

(sqrt (- 1.0 (* x x)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(sqrt (- 1.0 (* x x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	165	131
1	568	128
2	2782	126
3	5001	123

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
0.0b	(pow (sqrt (- 1.0 (* x x))) 3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod` `add-sqr-sqrt` `sqrt-prod`
14×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `cube-prod`
6×	`pow1` `sqrt-div`
5×	`difference-of-squares`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `pow-pow` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 89

Calls

3 calls:

7.0ms	(sqrt (- 1.0 (* x x)))
10.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
8.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

series259.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(sqrt (- 1.0 (* x x)))
54.0ms	(cbrt (pow (sqrt (- 1.0 (* x x))) 3))
149.0ms	(pow (sqrt (- 1.0 (* x x))) 3)

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	354	613
1	1359	589
2	5001	573

prune182.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5

end0.0ms

sample514.0ms

Algorithm

intervals

Results

135.0ms	8416×	body	80	nan
128.0ms	8000×	body	80	valid