Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
2.0ms	105×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
1	8
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`times-frac`
6×	`distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*` `sqrt-prod`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `hypot-def` `div-inv`

Counts

3 → 71

Calls

3 calls:

7.0ms	(sqrt (+ x 1.0))
13.0ms	(+ 1.0 (sqrt (+ x 1.0)))
30.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series358.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(sqrt (+ x 1.0))
74.0ms	(+ 1.0 (sqrt (+ x 1.0)))
233.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5003
2	1162
1	333
0	143

prune361.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
8×	`sqrt-prod`
7×	`fma-def` `distribute-lft-out`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`sqrt-div` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `rem-sqrt-square` `clear-num` `sum-log` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `hypot-def` `div-inv`

Counts

3 → 75

Calls

3 calls:

11.0ms	(sqrt (+ x 1.0))
52.0ms	(+ (sqrt (+ x 1.0)) 1.0)
45.0ms	(/ x (+ (sqrt (+ x 1.0)) 1.0))

series313.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(sqrt (+ x 1.0))
51.0ms	(+ (sqrt (+ x 1.0)) 1.0)
209.0ms	(/ x (+ (sqrt (+ x 1.0)) 1.0))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1118
1	332
0	143

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

43.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))

series478.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
101.0ms	(cbrt (+ x 1.0))
104.0ms	(cbrt (+ x 1.0))
132.0ms	(cbrt (+ x 1.0))

simplify2.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5003
3	2238
2	849
1	343
0	143

prune698.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
103×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
65×	`add-cube-cbrt`
19×	`associate-/r*` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `sqrt-prod`
7×	`fma-def` `associate-/l*`
6×	`pow1` `div-inv` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`rec-exp` `clear-num` `frac-2neg` `sqrt-div` `1-exp` `associate-/l/`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `associate-/r/` `hypot-def` `pow-flip` `inv-pow`

Counts

4 → 165

Calls

4 calls:

7.0ms	(sqrt (+ x 1.0))
28.0ms	(+ (sqrt (+ x 1.0)) 1.0)
87.0ms	(/ (+ (sqrt (+ x 1.0)) 1.0) x)
52.0ms	(/ 1 (/ (+ (sqrt (+ x 1.0)) 1.0) x))

series396.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ x 1.0))
56.0ms	(+ (sqrt (+ x 1.0)) 1.0)
115.0ms	(/ (+ (sqrt (+ x 1.0)) 1.0) x)
186.0ms	(/ 1 (/ (+ (sqrt (+ x 1.0)) 1.0) x))

simplify2.2s

Counts

177 → 177

Iterations

Iter	Nodes
done	5001
2	2108
1	649
0	256

prune653.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample642.0ms

Algorithm

intervals

Results

388.0ms	7999×	body	80	valid
76.0ms	2685×	body	80	nan
0.0ms	1×	body	1280	valid