Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	72×	body	80	nan

simplify23.0ms

Counts: 1 → 1

prune4.0ms

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))))

rewrite93.0ms

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:

12.0ms	(sqrt (+ x 1.0))
16.0ms	(+ 1.0 (sqrt (+ x 1.0)))
61.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series295.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(sqrt (+ x 1.0))
49.0ms	(+ 1.0 (sqrt (+ x 1.0)))
204.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify555.0ms

Counts: 70 → 70

prune186.0ms

Pruning

3 alts after pruning (3 fresh and 0 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)))
0.1b	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite153.0ms

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:

7.0ms	(sqrt (+ x 1.0))
16.0ms	(+ 1.0 (sqrt (+ x 1.0)))
69.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
55.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series393.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ x 1.0))
59.0ms	(+ 1.0 (sqrt (+ x 1.0)))
113.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
181.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify956.0ms

Counts: 161 → 161

prune318.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sqrt (+ x 1.0)) 3)
0.2b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.1b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
7.5b	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
62×	`sqrt-div`
43×	`add-sqr-sqrt`
34×	`sqrt-prod`
32×	`flip3-+` `flip-+`
31×	`add-cube-cbrt`
28×	`associate-*r/` `distribute-lft-out`
27×	`times-frac`
23×	`unpow-prod-down` `cube-prod`
21×	`pow1`
16×	`frac-sub`
12×	`frac-times`
11×	`swap-sqr`
9×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*` `add-cbrt-cube`
8×	`associate-*l/`
7×	`associate-r` `associate-l`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`sum-cubes` `sub-div` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cube-div` `associate-/r/`
1×	`cbrt-undiv` `pow2` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `unpow3` `div-exp` `pow-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `sqrt-pow2` `flip--` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 184

Calls

4 calls:

12.0ms	(pow (sqrt (+ x 1.0)) 3)
41.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
30.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
98.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(pow (sqrt (+ x 1.0)) 3)
18.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
106.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
256.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

simplify2.7s

Counts: 196 → 196

prune617.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
4.0b	(- (- (* 1.0 1.0) x) 1.0)
4.0b	(- 1.0 (sqrt (+ x 1.0)))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`associate-l`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`pow1`
6×	`associate-r` `sqrt-prod` `distribute-lft-out--`
5×	`sub-neg` `flip3--` `flip--`
4×	`diff-log`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-div` `associate-*r/` `prod-exp` `associate--l+` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate--l-` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

7.0ms	(sqrt (+ x 1.0))
229.0ms	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
65.0ms	(- (- (* 1.0 1.0) x) 1.0)
39.0ms	(- 1.0 (sqrt (+ x 1.0)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(sqrt (+ x 1.0))
121.0ms	(* (/ x (- (- (* 1.0 1.0) x) 1.0)) (- 1.0 (sqrt (+ x 1.0))))
13.0ms	(- (- (* 1.0 1.0) x) 1.0)
61.0ms	(- 1.0 (sqrt (+ x 1.0)))

simplify859.0ms

Counts: 112 → 112

prune382.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0s

end0.0ms

sample755.0ms

Algorithm

intervals

Results

364.0ms	7998×	body	80	valid
132.0ms	2619×	body	80	nan
0.0ms	2×	body	1280	valid