Details

sample45.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
14.0ms	239×	body	80	nan

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
3	13
2	11
1	7
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `sqrt-div` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3--` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

10.0ms

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

series114.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

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

simplify1.7s

Counts

22 → 22

Iterations

Iter	Nodes
done	5005
3	1991
2	488
1	163
0	70

prune92.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`log-pow` `sqrt-prod`
7×	`exp-prod`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1`
3×	`log-prod`
2×	`expm1-log1p-u` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `rem-log-exp` `flip--`

Counts

2 → 41

Calls

2 calls:

17.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
10.0ms	(sqrt (- 1.0 (* x x)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(log (exp (sqrt (- 1.0 (* x x)))))
86.0ms	(sqrt (- 1.0 (* x x)))

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
3	2048
2	538
1	201
0	100

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
0.2b	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-cbrt-cube` `add-exp-log`
25×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt`
11×	`times-frac`
10×	`associate-r`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`pow1` `sqrt-prod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `fma-udef`

Counts

2 → 70

Calls

2 calls:

0.0ms	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
74.0ms	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

series493.0ms

Counts

2 → 6

Calls

2 calls:

331.0ms	(fma (/ (* x x) (sqrt 1.0)) 1/2 (* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0))))
162.0ms	(* (/ (* (* x x) 1/8) 1.0) (/ (* x x) (sqrt 1.0)))

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	2047
1	472
0	147

prune312.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

492.0ms	8102×	body	80	nan
466.0ms	8000×	body	80	valid