Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	96×	body	80	nan

simplify13.0ms

Counts: 1 → 1

prune2.0ms

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

rewrite58.0ms

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:

16.0ms	(+ 1.0 (sqrt (+ x 1.0)))
8.0ms	(sqrt (+ x 1.0))
32.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series631.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ 1.0 (sqrt (+ x 1.0)))
41.0ms	(sqrt (+ x 1.0))
523.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify536.0ms

Counts: 70 → 70

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
99×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
19×	`associate-/r*`
18×	`distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`pow1` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `sqrt-prod`
3×	`flip3-+` `flip-+`
2×	`rec-exp` `frac-2neg` `sqrt-div` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `pow-flip` `sqrt-pow1` `pow1/2` `sum-log` `associate-/r/` `inv-pow`

Counts

4 → 149

Calls

4 calls:

13.0ms	(sqrt (+ x 1.0))
28.0ms	(+ 1.0 (sqrt (+ x 1.0)))
70.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
42.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series407.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (+ x 1.0))
66.0ms	(+ 1.0 (sqrt (+ x 1.0)))
120.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
174.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify990.0ms

Counts: 161 → 161

prune264.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

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:

7.0ms	(sqrt (+ x 1.0))
16.0ms	(+ 1.0 (sqrt (+ x 1.0)))
36.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
83.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series630.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ x 1.0))
69.0ms	(+ 1.0 (sqrt (+ x 1.0)))
374.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
145.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.1s

Counts: 144 → 144

prune379.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify15.0ms

end0.0ms

sample654.0ms

Algorithm

intervals

Results

362.0ms	7999×	body	80	valid
67.0ms	2675×	body	80	nan
0.0ms	1×	body	1280	valid