Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

15.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
21.0ms	(* (/ 841.0 108.0) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms	(* (/ 841.0 108.0) x)

simplify2.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5008
3	3065
2	796
1	248
0	99

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `insert-posit16` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 85

Calls

3 calls:

67.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
20.0ms	(* (sqrt (/ 841.0 108.0)) x)
64.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series244.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
47.0ms	(* (sqrt (/ 841.0 108.0)) x)
96.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify2.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2470
2	865
1	332
0	141

prune383.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 841.0 29.0) x) (* 108.0 4.0))
0.3b	(/ (+ (* (* 841.0 29.0) x) (* 108.0 4.0)) (* 29.0 108.0))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `insert-posit16` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv`

Counts

2 → 36

Calls

2 calls:

17.0ms	(+ (* (* 841.0 29.0) x) (* 108.0 4.0))
70.0ms	(/ (+ (* (* 841.0 29.0) x) (* 108.0 4.0)) (* 29.0 108.0))

series149.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* (* 841.0 29.0) x) (* 108.0 4.0))
92.0ms	(/ (+ (* (* 841.0 29.0) x) (* 108.0 4.0)) (* 29.0 108.0))

simplify2.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	3180
2	811
1	224
0	80

prune191.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 841.0 108.0))
0.1b	(* x (/ 841.0 108.0))
0.2b	(* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))
19.2b	(cbrt (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

90×	`frac-times`
88×	`associate-*r/`
63×	`cbrt-div`
56×	`flip3-+` `frac-add` `flip-+`
36×	`add-sqr-sqrt`
29×	`associate-r`
24×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
18×	`associate-*l/`
16×	`add-cbrt-cube` `add-exp-log`
15×	`pow1`
9×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `cube-unmult` `pow-sqr` `pow-prod-up` `rem-cbrt-cube`

Counts

4 → 183

Calls

4 calls:

24.0ms	(* x (/ 841.0 108.0))
24.0ms	(* x (/ 841.0 108.0))
136.0ms	(* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))
151.0ms	(cbrt (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

series126.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (/ 841.0 108.0))
21.0ms	(* x (/ 841.0 108.0))
34.0ms	(* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))
47.0ms	(cbrt (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (* (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))) (+ (/ 4.0 29.0) (* x (/ 841.0 108.0))))))

simplify2.5s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	3749
1	878
0	356

prune761.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample465.0ms

Algorithm

intervals

Results

368.0ms	8009×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid