Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	225×	body	80	valid
14.0ms	25×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	11×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2087
6	873
5	342
4	176
3	101
2	50
1	22
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.2b	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.0b	(/ (* (- z t) y) (- a t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

22.0ms	(* (- z t) y)
55.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
23.0ms	(/ (* (- z t) y) (- a t))

series245.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- z t) y)
133.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
69.0ms	(/ (* (- z t) y) (- a t))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1373
1	395
0	153

prune320.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
2.9b	(- (+ x y) (* (- z t) (/ y (- a t))))
9.1b	(* (- z t) (/ y (- a t)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log` `frac-sub`
9×	`flip3--` `flip--`
8×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`frac-times` `associate-*l/`
5×	`pow1` `associate-/r` `flip3-+` `associate-l*` `flip-+`
4×	`associate-/r/`
3×	`associate-r/` `insert-posit16` `associate-/l`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `pow-prod-down` `associate--l+` `*-commutative`

Counts

3 → 110

Calls

3 calls:

17.0ms	(/ y (- a t))
50.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
44.0ms	(* (- z t) (/ y (- a t)))

series287.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ y (- a t))
170.0ms	(- (+ x y) (* (- z t) (/ y (- a t))))
71.0ms	(* (- z t) (/ y (- a t)))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5002
2	2543
1	593
0	212

prune579.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
6.3b	(- y (* (- z t) (/ y (- a t))))
9.1b	(* (- z t) (/ y (- a t)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `flip3--` `associate-l*` `flip--` `add-log-exp`
4×	`associate-/r/`
3×	`insert-posit16` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 98

Calls

3 calls:

16.0ms	(/ y (- a t))
8.0ms	(- y (* (- z t) (/ y (- a t))))
68.0ms	(* (- z t) (/ y (- a t)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (- a t))
123.0ms	(- y (* (- z t) (/ y (- a t))))
99.0ms	(* (- z t) (/ y (- a t)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1394
1	376
0	154

prune613.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.4b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
9.1b	(* (- z t) (* y (/ 1 (- a t))))
9.1b	(- y (* (- z t) (* y (/ 1 (- a t)))))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-*r/` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 133

Calls

4 calls:

15.0ms	(/ 1 (- a t))
44.0ms	(* y (/ 1 (- a t)))
75.0ms	(* (- z t) (* y (/ 1 (- a t))))
9.0ms	(- y (* (- z t) (* y (/ 1 (- a t)))))

series237.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (- a t))
31.0ms	(* y (/ 1 (- a t)))
67.0ms	(* (- z t) (* y (/ 1 (- a t))))
102.0ms	(- y (* (- z t) (* y (/ 1 (- a t)))))

simplify1.3s

Counts

145 → 145

Iterations

Iter	Nodes
done	5003
2	1538
1	439
0	181

prune566.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 6.4b

regimes675.0ms

Accuracy

15.4% (4.3b remaining)

Error of 8.3b against oracle of 4.0b and baseline of 9.1b

bsearch59.0ms

Steps

Iters	Range		Point
7	5.728176840959263e-166	5.611187368834126e-164	1.5343352289819368e-165
1	-1.0003071296531064e-115	-9.509529983491311e-116	-9.63291531175125e-116

simplify5.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

945.0ms	7267×	body	80	valid
180.0ms	484×	body	640	valid
148.0ms	278×	body	1280	valid
67.0ms	380×	body	320	valid
29.0ms	249×	body	160	valid
3.0ms	9×	body	2560	valid