Details

sample70.0ms

Algorithm

intervals

Results

20.0ms

274×

body

valid

simplify9.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
28	4960
27	4766
26	4563
25	4371
24	4168
23	3974
22	3771
21	3579
20	3374
19	3178
18	2963
17	2727
16	2476
15	2172
14	1837
13	1584
12	1041
11	630
10	390
9	314
8	258
7	221
6	185
5	131
4	87
3	54
2	35
1	21
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 116

Calls

3 calls:

11.0ms	(+ x (* y (/ (- z t) (- z a))))
35.0ms	(/ (- z t) (- z a))
86.0ms	(* y (/ (- z t) (- z a)))

series381.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(+ x (* y (/ (- z t) (- z a))))
99.0ms	(/ (- z t) (- z a))
146.0ms	(* y (/ (- z t) (- z a)))

simplify2.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	1400
1	445
0	165

prune2.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (- z a) (- z t)))
2.3b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `insert-posit16`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 342

Calls

4 calls:

8.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
49.0ms	(/ (- z a) (- z t))
55.0ms	(/ 1 (/ (- z a) (- z t)))
166.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series737.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
97.0ms	(/ (- z a) (- z t))
191.0ms	(/ 1 (/ (- z a) (- z t)))
213.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify6.2s

Counts

354 → 354

Iterations

Iter	Nodes
done	5006
2	3209
1	1079
0	376

prune3.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

12.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))

series1.4s

Counts

4 → 12

Calls

4 calls:

391.0ms	(cbrt (- z t))
341.0ms	(cbrt (- z a))
342.0ms	(cbrt (- z a))
324.0ms	(cbrt (- z a))

simplify4.7s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
4	2542
3	1010
2	491
1	246
0	120

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.5b	(/ y (/ (- z a) (- z t)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 209

Calls

3 calls:

101.0ms	(+ x (/ y (/ (- z a) (- z t))))
34.0ms	(/ (- z a) (- z t))
41.0ms	(/ y (/ (- z a) (- z t)))

series550.0ms

Counts

3 → 9

Calls

3 calls:

215.0ms	(+ x (/ y (/ (- z a) (- z t))))
79.0ms	(/ (- z a) (- z t))
255.0ms	(/ y (/ (- z a) (- z t)))

simplify4.8s

Counts

218 → 218

Iterations

Iter	Nodes
done	5000
2	2845
1	800
0	295

prune2.9s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

526.0ms

8739×

body

valid