Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify18.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize5.0ms

Local error

Found 1 expressions with local error:

12.9b

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

rewrite16.0ms

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:

15.0ms

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

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify969.0ms

Counts: 32 → 32

prune95.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (+ (* x x) 1.0))
12.3b	(* x (/ 1 (+ (* x x) 1.0)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`times-frac`
19×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r`
9×	`add-cbrt-cube`
5×	`pow1`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 71

Calls

2 calls:

31.0ms	(/ 1 (+ (* x x) 1.0))
50.0ms	(* x (/ 1 (+ (* x x) 1.0)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ 1 (+ (* x x) 1.0))
87.0ms	(* x (/ 1 (+ (* x x) 1.0)))

simplify731.0ms

Counts: 77 → 77

prune182.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
0.2b	(/ 1 (pow x 5))
0.5b	(/ 1.0 (pow x 3))
20.2b	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

59×	`times-frac`
52×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
24×	`unpow-prod-down`
19×	`associate-/r*`
18×	`add-exp-log`
12×	`cube-prod`
11×	`add-log-exp`
9×	`div-exp`
8×	`frac-sub` `add-cbrt-cube` `sqr-pow`
6×	`associate-/l*`
4×	`pow1` `cube-mult` `pow-to-exp` `diff-log` `unpow3` `pow-exp` `div-inv`
3×	`sub-neg` `rec-exp` `flip3--` `1-exp` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `associate--r+`
1×	`pow-flip` `inv-pow` `associate--r-`

Counts

4 → 158

Calls

4 calls:

120.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
14.0ms	(/ 1 (pow x 5))
9.0ms	(/ 1.0 (pow x 3))
61.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- (/ 1 x) (- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5)))))
70.0ms	(/ 1 (pow x 5))
42.0ms	(/ 1.0 (pow x 3))
139.0ms	(- (/ 1.0 (pow x 3)) (* 1.0 (/ 1 (pow x 5))))

simplify1.4s

Counts: 170 → 170

prune437.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes382.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.0b

bsearch83.0ms

Steps

Iters	Range		Point
10	1.3099675947624547e-09	64828.07766974042	541.7290142511919
9	-1.5438826771866932e+25	-1.2057104386339981e+20	-8.469905839544406e+24

simplify698.0ms

end0.0ms

sample472.0ms

Algorithm

intervals

Results

301.0ms

8000×

body

valid