Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify22.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize19.0ms

Local error

Found 1 expressions with local error:

17.1b

(/ x (+ (* x x) 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

28.0ms

(/ x (+ (* x x) 1.0))

series112.0ms

Counts

1 → 3

Calls

1 calls:

112.0ms

(/ x (+ (* x x) 1.0))

simplify974.0ms

Counts: 32 → 32

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

2.8b	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
23.0b	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `difference-of-squares`

Counts

2 → 79

Calls

2 calls:

42.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
139.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

series363.0ms

Counts

2 → 6

Calls

2 calls:

213.0ms	(/ x (+ (- (* 1.0 1.0)) (pow x 4)))
150.0ms	(* (/ x (+ (- (* 1.0 1.0)) (pow x 4))) (- (* x x) 1.0))

simplify841.0ms

Counts: 85 → 85

prune355.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
0.1b	(/ 1 (pow x 5))
0.3b	(/ 1 (pow x 3))
17.3b	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
22×	`add-exp-log`
19×	`associate-/r*`
12×	`cube-prod` `div-exp`
11×	`add-log-exp`
8×	`frac-sub` `add-cbrt-cube` `sqr-pow`
7×	`associate-*r/` `un-div-inv`
6×	`pow-to-exp` `rec-exp` `1-exp` `frac-add` `pow-exp` `associate-/l*`
4×	`pow1` `cube-mult` `unpow3`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `diff-log` `clear-num` `sum-log` `div-inv` `inv-pow`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 161

Calls

4 calls:

17.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
11.0ms	(/ 1 (pow x 5))
19.0ms	(/ 1 (pow x 3))
201.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x))
65.0ms	(/ 1 (pow x 5))
38.0ms	(/ 1 (pow x 3))
79.0ms	(- (+ (* 1.0 (/ 1 (pow x 5))) (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))

simplify1.3s

Counts: 173 → 173

prune456.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.8b

bsearch102.0ms

Steps

Iters	Range		Point
9	0.0024368900564104884	555.6593536559827	422.3447739140714
7	-6491271394995.426	-109465831846.37299	-4570954960442.382

simplify760.0ms

end0.0ms

sample567.0ms

Algorithm

intervals

Results

355.0ms

8000×

body

valid