Details

sample98.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
10.0ms	208×	body	80	nan

simplify20.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	21
1	18
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (sqrt (/ (- 1 x) (+ 1 x))))
0.0b	(/ (- 1 x) (+ 1 x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/l*`
5×	`distribute-lft-out--`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

2 → 64

Calls

2 calls:

1.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
40.0ms	(/ (- 1 x) (+ 1 x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(atan (sqrt (/ (- 1 x) (+ 1 x))))
47.0ms	(/ (- 1 x) (+ 1 x))

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5006
3	1663
2	597
1	266
0	114

prune230.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
0.0b	(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
0.0b	(* (+ 1 x) (+ 1 x))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`add-sqr-sqrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
8×	`frac-times` `associate-/r/`
6×	`swap-sqr` `distribute-lft-out`
4×	`times-frac` `associate-r` `associate-l` `associate-l/` `associate-r/` `associate-/l*`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `div-sub` `pow-prod-down` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `flip--` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

1.0ms	(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
51.0ms	(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
42.0ms	(* (+ 1 x) (+ 1 x))

series68.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan (sqrt (/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))))
48.0ms	(/ (- (* 1 1) (* x x)) (* (+ 1 x) (+ 1 x)))
15.0ms	(* (+ 1 x) (+ 1 x))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5018
2	1883
1	473
0	139

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1 (+ 1 x)) (* x (+ 1 x)))
0.0b	(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))))
0.0b	(* x (+ 1 x))
0.0b	(/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
16×	`times-frac` `add-cube-cbrt`
11×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
6×	`pow1` `distribute-rgt-out` `associate-/r/` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `associate-/r` `associate-r` `insert-posit16` `log1p-expm1-u` `associate-/l`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`associate-+l+` `associate-+r+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

14.0ms	(+ (* 1 (+ 1 x)) (* x (+ 1 x)))
1.0ms	(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))))
19.0ms	(* x (+ 1 x))
44.0ms	(/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* 1 (+ 1 x)) (* x (+ 1 x)))
5.0ms	(atan (sqrt (/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))))
60.0ms	(* x (+ 1 x))
58.0ms	(/ (- (* 1 1) (* x x)) (+ (* 1 (+ 1 x)) (* x (+ 1 x))))

simplify3.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1988
1	591
0	193

prune676.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	14

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
593.0ms	8071×	body	80	nan