Details

sample48.0ms

Algorithm

intervals

Results

32.0ms

286×

body

valid

simplify233.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	241
8	241
7	230
6	201
5	169
4	123
3	80
2	44
1	20
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* y z) (* t z))
3.3b	(/ (* x 2.0) (- (* y z) (* t z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt` `add-log-exp`
3×	`distribute-rgt-out--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 46

Calls

2 calls:

10.0ms	(- (* y z) (* t z))
30.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* y z) (* t z))
86.0ms	(/ (* x 2.0) (- (* y z) (* t z)))

simplify1.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
2	1015
1	241
0	89

prune223.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
3.3b	(/ x (/ (* z (- y t)) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 124

Calls

3 calls:

15.0ms	(/ (* z (- y t)) 2.0)
15.0ms	(* z (- y t))
13.0ms	(/ x (/ (* z (- y t)) 2.0))

series197.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(/ (* z (- y t)) 2.0)
60.0ms	(* z (- y t))
72.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify1.2s

Counts

133 → 133

Iterations

Iter	Nodes
done	5037
2	1677
1	563
0	226

prune463.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
0.8b	(/ 1 (/ (/ (* z (- y t)) 2.0) x))
3.3b	(/ (/ (* z (- y t)) 2.0) x)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
122×	`add-sqr-sqrt`
120×	`*-un-lft-identity`
118×	`add-cube-cbrt`
54×	`add-exp-log`
34×	`add-cbrt-cube`
31×	`associate-/r*`
30×	`div-exp`
23×	`div-inv`
18×	`prod-diff`
16×	`cbrt-undiv`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
7×	`pow1`
6×	`prod-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `associate-/l/`
2×	`sub-neg` `flip3--` `flip--`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 259

Calls

4 calls:

32.0ms	(/ (* z (- y t)) 2.0)
31.0ms	(* z (- y t))
27.0ms	(/ 1 (/ (/ (* z (- y t)) 2.0) x))
13.0ms	(/ (/ (* z (- y t)) 2.0) x)

series341.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (* z (- y t)) 2.0)
45.0ms	(* z (- y t))
128.0ms	(/ 1 (/ (/ (* z (- y t)) 2.0) x))
94.0ms	(/ (/ (* z (- y t)) 2.0) x)

simplify2.0s

Counts

271 → 271

Iterations

Iter	Nodes
done	5003
2	3077
1	1075
0	410

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* z (- y t)) 2.0)
0.0b	(* z (- y t))
0.7b	(/ 1 (/ (* z (- y t)) 2.0))
3.9b	(/ (/ 1 (/ (* z (- y t)) 2.0)) (/ 1 x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

1037×	`times-frac`
425×	`add-sqr-sqrt`
423×	`*-un-lft-identity`
421×	`add-cube-cbrt`
170×	`add-exp-log`
122×	`div-exp`
90×	`div-inv`
52×	`add-cbrt-cube`
30×	`associate-/l*`
29×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
23×	`associate-/r*`
18×	`prod-diff`
17×	`prod-exp`
16×	`associate-/r/`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
5×	`associate-r` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `associate-/l/`
2×	`sub-neg` `flip3--` `flip--`
1×	`pow-prod-down` `*-commutative` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 572

Calls

4 calls:

30.0ms	(/ (* z (- y t)) 2.0)
31.0ms	(* z (- y t))
27.0ms	(/ 1 (/ (* z (- y t)) 2.0))
37.0ms	(/ (/ 1 (/ (* z (- y t)) 2.0)) (/ 1 x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (* z (- y t)) 2.0)
56.0ms	(* z (- y t))
42.0ms	(/ 1 (/ (* z (- y t)) 2.0))
144.0ms	(/ (/ 1 (/ (* z (- y t)) 2.0)) (/ 1 x))

simplify2.5s

Counts

584 → 584

Iterations

Iter	Nodes
done	5001
1	2846
0	890

prune2.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes413.0ms

Accuracy

24.2% (4.2b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 5.5b

bsearch48.0ms

Steps

Iters	Range		Point
8	-8.569295262508675e+91	-4.32319908000979e+87	-5.6736547781701635e+88

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8737×

body

valid