Details

sample125.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
10.0ms	208×	body	80	nan

simplify234.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	21
3	21
2	19
1	16
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b	(/ (- 1.0 x) (+ 1.0 x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
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 → 59

Calls

2 calls:

3.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
80.0ms	(/ (- 1.0 x) (+ 1.0 x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
130.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify5.2s

Counts

65 → 65

Iterations

Iter	Nodes
done	5021
3	3071
2	737
1	258
0	108

prune512.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 3 expressions with local error:

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

rewrite136.0ms

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 (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
45.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
83.0ms	(* (+ 1.0 x) (+ 1.0 x))

series112.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
73.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
27.0ms	(* (+ 1.0 x) (+ 1.0 x))

simplify3.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1812
1	459
0	143

prune960.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `-un-lft-identity` `associate-l/`
16×	`times-frac` `add-cube-cbrt`
11×	`flip3-+` `flip-+`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`distribute-lft-out`
6×	`pow1` `associate-/r/` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l`
3×	`associate-r`
2×	`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--` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

24.0ms	(+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x))
1.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))))
49.0ms	(* (+ 1.0 x) x)
59.0ms	(/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x))
26.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))))
74.0ms	(* (+ 1.0 x) x)
103.0ms	(/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))

simplify4.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1965
1	534
0	191

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

876.0ms	8071×	body	80	nan
599.0ms	8000×	body	80	valid