Details

sample34.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	249×	body	80	nan

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
2×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 29

Calls

2 calls:

8.0ms	(sqrt (- 1.0 (* x x)))
8.0ms	(- 1.0 (* x x))

series118.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(sqrt (- 1.0 (* x x)))
61.0ms	(- 1.0 (* x x))

simplify40.0ms

Counts: 35 → 35

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sqrt-prod`
7×	`add-sqr-sqrt`
5×	`log-pow`
4×	`pow1` `add-cube-cbrt` `exp-prod` `*-un-lft-identity` `add-log-exp`
2×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

2 → 31

Calls

2 calls:

21.0ms	(sqrt (log (exp (- 1.0 (* x x)))))
7.0ms	(- 1.0 (* x x))

series124.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(sqrt (log (exp (- 1.0 (* x x)))))
46.0ms	(- 1.0 (* x x))

simplify54.0ms

Counts: 37 → 37

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (log (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))))
0.0b	(+ 1.0 (* x x))
0.0b	(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
0.1b	(* (* x x) (* x x))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`times-frac`
23×	`add-sqr-sqrt` `pow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `pow-sqr`
19×	`log-pow`
18×	`add-exp-log` `exp-prod` `pow-plus` `add-cbrt-cube`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`associate-/r/` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `sum-log` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

66.0ms	(sqrt (log (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))))
11.0ms	(+ 1.0 (* x x))
27.0ms	(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
45.0ms	(* (* x x) (* x x))

series397.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(sqrt (log (exp (/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x))))))
39.0ms	(+ 1.0 (* x x))
172.0ms	(/ (- (* 1.0 1.0) (* (* x x) (* x x))) (+ 1.0 (* x x)))
53.0ms	(* (* x x) (* x x))

simplify53.0ms

Counts: 154 → 154

prune415.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify47.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

604.0ms	8161×	body	80	nan
267.0ms	8000×	body	80	valid