Details

sample130.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
14.0ms	208×	body	80	nan

simplify103.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite75.0ms

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×	`pow1` `associate-/r/` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `flip-+` `div-inv` `flip--`

Counts

2 → 55

Calls

2 calls:

1.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
69.0ms	(/ (- 1.0 x) (+ 1.0 x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
64.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify5.8s

Counts

61 → 61

Iterations

Iter	Nodes
done	5008
3	3818
2	739
1	247
0	104

prune531.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize70.0ms

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))

rewrite130.0ms

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×	`insert-posit16` `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 → 84

Calls

3 calls:

3.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
64.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
56.0ms	(* (+ 1.0 x) (+ 1.0 x))

series104.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))))
61.0ms	(/ (- (* 1.0 1.0) (* x x)) (* (+ 1.0 x) (+ 1.0 x)))
21.0ms	(* (+ 1.0 x) (+ 1.0 x))

simplify3.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5020
2	1716
1	447
0	137

prune719.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

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)))

rewrite198.0ms

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×	`associate-/r` `associate-l` `insert-posit16` `associate-/l`
3×	`associate-r`
2×	`associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

39.0ms	(+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x))
3.0ms	(atan (sqrt (/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))))
55.0ms	(* (+ 1.0 x) x)
88.0ms	(/ (- (* 1.0 1.0) (* x x)) (+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* (+ 1.0 x) 1.0) (* (+ 1.0 x) x))
33.0ms	(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)))

simplify3.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5002
2	1850
1	506
0	183

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
513.0ms	8071×	body	80	nan