Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

282×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3547
10	1241
9	709
8	446
7	358
6	299
5	180
4	105
3	60
2	37
1	21
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
1.6b	(* y (/ (- z t) (- z a)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `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 → 122

Calls

3 calls:

20.0ms	(/ (- z t) (- z a))
6.0ms	(+ x (* y (/ (- z t) (- z a))))
37.0ms	(* y (/ (- z t) (- z a)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- z t) (- z a))
132.0ms	(+ x (* y (/ (- z t) (- z a))))
135.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1821
1	460
0	168

prune772.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

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)))
1.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `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 → 349

Calls

4 calls:

5.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
26.0ms	(/ (- z a) (- z t))
36.0ms	(/ 1 (/ (- z a) (- z t)))
102.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
73.0ms	(/ (- z a) (- z t))
172.0ms	(/ 1 (/ (- z a) (- z t)))
186.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.1s

Counts

361 → 361

Iterations

Iter	Nodes
done	5000
1	1117
0	380

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`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×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

62.0ms	(+ x (/ y (/ (- z a) (- z t))))
20.0ms	(/ (- z a) (- z t))
28.0ms	(/ y (/ (- z a) (- z t)))

series327.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (/ y (/ (- z a) (- z t))))
63.0ms	(/ (- z a) (- z t))
154.0ms	(/ y (/ (- z a) (- z t)))

simplify1.7s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	4080
1	817
0	298

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
0.2b	(/ 1 (/ (- z t) (- z a)))
1.8b	(/ y (/ 1 (/ (- z t) (- z a))))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

1184×	`times-frac`
798×	`*-un-lft-identity`
796×	`add-sqr-sqrt`
452×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
40×	`associate-/r/`
36×	`add-exp-log`
23×	`div-inv`
22×	`div-exp`
20×	`add-cbrt-cube`
18×	`flip3--` `flip--`
11×	`associate-/l*`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`clear-num` `fma-def` `frac-2neg`
2×	`associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

4 → 639

Calls

4 calls:

19.0ms	(/ (- z t) (- z a))
153.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
31.0ms	(/ 1 (/ (- z t) (- z a)))
61.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

series413.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- z t) (- z a))
122.0ms	(+ x (/ y (/ 1 (/ (- z t) (- z a)))))
139.0ms	(/ 1 (/ (- z t) (- z a)))
90.0ms	(/ y (/ 1 (/ (- z t) (- z a))))

simplify1.8s

Counts

651 → 651

Iterations

Iter	Nodes
done	5001
1	2264
0	772

prune2.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes523.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
2	15
1	14
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

421.0ms

8782×

body

valid