Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

256×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
6	1775
5	497
4	205
3	109
2	50
1	25
0	13

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 2 expressions with local error:

3.9b	(* (/ t z) y)
7.4b	(/ y (- z (/ (* (/ t z) y) 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
25×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r*`
4×	`pow1` `distribute-lft-out--` `difference-of-squares`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--`

Counts

2 → 71

Calls

2 calls:

10.0ms	(* (/ t z) y)
16.0ms	(/ y (- z (/ (* (/ t z) y) 2.0)))

series236.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* (/ t z) y)
205.0ms	(/ y (- z (/ (* (/ t z) y) 2.0)))

simplify2.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5025
3	4270
2	964
1	302
0	131

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.9b

localize20.0ms

Local error

Found 3 expressions with local error:

0.8b	(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
3.9b	(* (/ t z) y)
7.2b	(/ (- z (/ (* (/ t z) y) 2.0)) y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

142×	`times-frac`
114×	`add-sqr-sqrt`
109×	`*-un-lft-identity`
77×	`add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`add-cbrt-cube`
13×	`associate-l`
9×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv`
3×	`associate-r` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `pow-flip` `flip--` `inv-pow`

Counts

3 → 173

Calls

3 calls:

20.0ms	(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
13.0ms	(* (/ t z) y)
16.0ms	(/ (- z (/ (* (/ t z) y) 2.0)) y)

series118.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (/ (- z (/ (* (/ t z) y) 2.0)) y))
26.0ms	(* (/ t z) y)
54.0ms	(/ (- z (/ (* (/ t z) y) 2.0)) y)

simplify1.6s

Counts

182 → 182

Iterations

Iter	Nodes
done	5001
2	1903
1	647
0	250

prune726.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (/ t z))
0.0b	(- (/ z y) (* 0.5 (/ t z)))
0.8b	(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
12×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1`
5×	`add-log-exp`
3×	`associate-/r` `div-exp` `associate-l` `associate-r/` `associate-/r/` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 82

Calls

3 calls:

17.0ms	(* 0.5 (/ t z))
28.0ms	(- (/ z y) (* 0.5 (/ t z)))
29.0ms	(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series136.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* 0.5 (/ t z))
54.0ms	(- (/ z y) (* 0.5 (/ t z)))
48.0ms	(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5004
3	3471
2	992
1	324
0	138

prune438.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ z y) (* (* 0.5 t) (/ 1 z)))
0.2b	(* (* 0.5 t) (/ 1 z))
0.8b	(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
17×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`pow1`
6×	`div-exp` `cbrt-unprod`
5×	`add-log-exp`
4×	`associate-/r/` `frac-sub`
3×	`cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `insert-posit16` `associate-/l*`
2×	`flip3--` `div-inv` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-l` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 90

Calls

3 calls:

27.0ms	(- (/ z y) (* (* 0.5 t) (/ 1 z)))
17.0ms	(* (* 0.5 t) (/ 1 z))
45.0ms	(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

series114.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (/ z y) (* (* 0.5 t) (/ 1 z)))
33.0ms	(* (* 0.5 t) (/ 1 z))
32.0ms	(/ 1 (- (/ z y) (* (* 0.5 t) (/ 1 z))))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5078
3	3334
2	1109
1	382
0	149

prune452.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes383.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

8000×

body

valid