Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	valid
3.0ms	89×	body	80	nan
0.0ms	1×	body	1280	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 61

Calls

3 calls:

11.0ms	(sqrt (+ x 1.0))
19.0ms	(+ 1.0 (sqrt (+ x 1.0)))
40.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series348.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(sqrt (+ x 1.0))
59.0ms	(+ 1.0 (sqrt (+ x 1.0)))
234.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify142.0ms

Counts: 70 → 70

prune189.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.0b	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
0.2b	(/ x (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
0.8b	(* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
30×	`add-sqr-sqrt`
28×	`sqrt-div`
21×	`pow1`
16×	`add-cube-cbrt`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
10×	`sqrt-pow1` `pow1/2`
8×	`frac-times` `associate-/r/` `distribute-lft-out`
7×	`associate-r` `associate-l`
5×	`pow-prod-up`
4×	`associate-r/` `associate-l/` `add-log-exp` `unswap-sqr`
3×	`times-frac` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r` `rem-square-sqrt` `-commutative` `div-inv`

Counts

4 → 123

Calls

4 calls:

38.0ms	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
36.0ms	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
70.0ms	(/ x (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
194.0ms	(* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
179.0ms	(sqrt (+ 1.0 (sqrt (+ x 1.0))))
183.0ms	(/ x (* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))))
54.0ms	(* (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))))

simplify48.0ms

Counts: 135 → 135

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
52×	`times-frac`
39×	`add-cube-cbrt` `sqrt-prod`
30×	`associate-r`
15×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-l` `associate-/l*` `add-log-exp` `unswap-sqr`
4×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

4 → 132

Calls

4 calls:

13.0ms	(sqrt (+ x 1.0))
62.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
27.0ms	(+ 1.0 (sqrt (+ x 1.0)))
101.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (+ x 1.0))
391.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
57.0ms	(+ 1.0 (sqrt (+ x 1.0)))
195.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify53.0ms

Counts: 144 → 144

prune415.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample720.0ms

Algorithm

intervals

Results

369.0ms	7994×	body	80	valid
109.0ms	2783×	body	80	nan
1.0ms	6×	body	1280	valid