Details

sample58.0ms

Algorithm

intervals

Results

26.0ms

275×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2268
10	810
9	491
8	355
7	284
6	249
5	158
4	96
3	56
2	35
1	21
0	10

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite87.0ms

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` `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 → 113

Calls

3 calls:

5.0ms	(+ x (* y (/ (- z t) (- z a))))
18.0ms	(/ (- z t) (- z a))
58.0ms	(* y (/ (- z t) (- z a)))

series335.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ x (* y (/ (- z t) (- z a))))
82.0ms	(/ (- z t) (- z a))
104.0ms	(* y (/ (- z t) (- z a)))

simplify877.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1781
1	448
0	162

prune509.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
1.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite192.0ms

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`
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 → 338

Calls

4 calls:

9.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
24.0ms	(/ (- z a) (- z t))
24.0ms	(/ 1 (/ (- z a) (- z t)))
95.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
77.0ms	(/ (- z a) (- z t))
130.0ms	(/ 1 (/ (- z a) (- z t)))
150.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify605.0ms

Counts

350 → 350

Iterations

Iter	Nodes
done	5001
1	1101
0	372

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
2.5b	(cbrt (/ (- z t) (- z a)))
2.5b	(cbrt (/ (- z t) (- z a)))
2.5b	(cbrt (/ (- z t) (- z a)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

126.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
7.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))
8.0ms	(cbrt (/ (- z t) (- z a)))

series807.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
205.0ms	(cbrt (/ (- z t) (- z a)))
197.0ms	(cbrt (/ (- z t) (- z a)))
189.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.2s

Counts

288 → 288

Iterations

Iter	Nodes
done	5000
2	1527
1	405
0	228

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (/ 1 (- z a)))
2.5b	(cbrt (/ (- z t) (- z a)))
2.5b	(cbrt (/ (- z t) (- z a)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

88×	`cbrt-prod`
84×	`add-sqr-sqrt` `*-un-lft-identity`
65×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`
3×	`div-inv`

Counts

4 → 125

Calls

4 calls:

3.0ms	(cbrt (- z t))
6.0ms	(cbrt (/ 1 (- z a)))
17.0ms	(cbrt (/ (- z t) (- z a)))
13.0ms	(cbrt (/ (- z t) (- z a)))

series801.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- z t))
206.0ms	(cbrt (/ 1 (- z a)))
192.0ms	(cbrt (/ (- z t) (- z a)))
190.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	2890
2	962
1	444
0	244

prune1.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes906.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

582.0ms	8751×	body	80	valid
0.0ms	1×	body	160	valid