Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	230×	body	80	valid
2.0ms	15×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	6×	body	1280	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3019
5	643
4	223
3	109
2	52
1	22
0	11

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
2.3b	(- (+ x y) (/ (* y (- z t)) (- a t)))
13.1b	(/ (* y (- z t)) (- a t))

rewrite102.0ms

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-r*` `distribute-lft-out--`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

30.0ms	(* y (- z t))
46.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
21.0ms	(/ (* y (- z t)) (- a t))

series331.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* y (- z t))
167.0ms	(- (+ x y) (/ (* y (- z t)) (- a t)))
100.0ms	(/ (* y (- z t)) (- a t))

simplify956.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1734
1	414
0	154

prune506.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ y (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
1.3b	(/ y (/ (- a t) (- z t)))
3.1b	(- y (/ y (/ (- a t) (- z t))))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

221×	`times-frac`
205×	`add-sqr-sqrt`
203×	`*-un-lft-identity`
92×	`add-cube-cbrt`
55×	`difference-of-squares`
54×	`distribute-lft-out--`
36×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
8×	`associate-/l*`
7×	`flip3--` `flip--`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
2×	`associate-+r+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3-+` `div-sub` `flip-+`

Counts

4 → 227

Calls

4 calls:

166.0ms	(+ x (- y (/ y (/ (- a t) (- z t)))))
17.0ms	(/ (- a t) (- z t))
22.0ms	(/ y (/ (- a t) (- z t)))
99.0ms	(- y (/ y (/ (- a t) (- z t))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ x (- y (/ y (/ (- a t) (- z t)))))
83.0ms	(/ (- a t) (- z t))
199.0ms	(/ y (/ (- a t) (- z t)))
179.0ms	(- y (/ y (/ (- a t) (- z t))))

simplify1.5s

Counts

239 → 239

Iterations

Iter	Nodes
done	5001
2	4298
1	869
0	319

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.2b	(/ 1 (/ (- z t) (- a t)))
1.3b	(/ y (/ 1 (/ (- z t) (- a t))))
3.1b	(- y (/ y (/ 1 (/ (- z t) (- a t)))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

1195×	`times-frac`
816×	`add-sqr-sqrt`
799×	`*-un-lft-identity`
451×	`add-cube-cbrt`
178×	`difference-of-squares`
173×	`distribute-lft-out--`
134×	`associate-/r*`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
19×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`rec-exp` `1-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 635

Calls

4 calls:

25.0ms	(/ (- z t) (- a t))
26.0ms	(/ 1 (/ (- z t) (- a t)))
71.0ms	(/ y (/ 1 (/ (- z t) (- a t))))
135.0ms	(- y (/ y (/ 1 (/ (- z t) (- a t)))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (- z t) (- a t))
198.0ms	(/ 1 (/ (- z t) (- a t)))
125.0ms	(/ y (/ 1 (/ (- z t) (- a t))))
133.0ms	(- y (/ y (/ 1 (/ (- z t) (- a t)))))

simplify1.4s

Counts

647 → 647

Iterations

Iter	Nodes
done	5002
1	2256
0	774

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* y (/ (- z t) (- a t))))
0.4b	(/ 1 (/ 1 (* y (/ (- z t) (- a t)))))
1.3b	(* y (/ (- z t) (- a t)))
6.7b	(- y (/ 1 (/ 1 (* y (/ (- z t) (- a t))))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

106×	`add-exp-log`
67×	`add-sqr-sqrt` `times-frac`
59×	`*-un-lft-identity`
57×	`div-exp`
35×	`add-cube-cbrt`
32×	`add-cbrt-cube`
31×	`associate-r`
26×	`prod-exp`
22×	`rec-exp` `1-exp`
13×	`pow1` `cbrt-undiv` `difference-of-squares`
12×	`distribute-lft-out--`
9×	`associate-/r*`
8×	`associate-/r/` `div-inv` `pow-flip`
6×	`associate-r/` `cbrt-unprod` `associate-/l` `add-log-exp`
3×	`associate-l` `pow-prod-down` `inv-pow`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log` `*-commutative` `remove-double-div`

Counts

4 → 186

Calls

4 calls:

29.0ms	(/ 1 (* y (/ (- z t) (- a t))))
60.0ms	(/ 1 (/ 1 (* y (/ (- z t) (- a t)))))
65.0ms	(* y (/ (- z t) (- a t)))
14.0ms	(- y (/ 1 (/ 1 (* y (/ (- z t) (- a t))))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(/ 1 (* y (/ (- z t) (- a t))))
78.0ms	(/ 1 (/ 1 (* y (/ (- z t) (- a t)))))
82.0ms	(* y (/ (- z t) (- a t)))
132.0ms	(- y (/ 1 (/ 1 (* y (/ (- z t) (- a t))))))

simplify2.1s

Counts

198 → 198

Iterations

Iter	Nodes
done	5001
2	3813
1	700
0	255

prune787.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

regimes585.0ms

Accuracy

15.5% (4.4b remaining)

Error of 7.4b against oracle of 3.1b and baseline of 8.2b

bsearch110.0ms

Steps

Iters	Range		Point
9	1.2477609771846317e-294	4.6534211057463125e-287	4.588832024847483e-287
5	-5.726701636044148e-140	-1.7431458063348651e-140	-3.0072087885061316e-140

simplify6.0ms

Iterations

Iter	Nodes
done	31
1	31
0	23

end0.0ms

sample2.0s

Algorithm

intervals

Results

607.0ms	7346×	body	80	valid
429.0ms	247×	body	160	valid
151.0ms	288×	body	1280	valid
127.0ms	429×	body	640	valid
67.0ms	382×	body	320	valid
42.0ms	11×	body	2560	valid