Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

269×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	83	11
4	165	11
5	325	11
6	491	11
7	745	11
8	1013	11
9	1287	11
10	1343	11
11	1347	11
done	1347	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.8b	(/ x (* (- y z) (- y t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

19.0ms	(* (- y z) (- y t))
8.0ms	(/ x (* (- y z) (- y t)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
59.0ms	(/ x (* (- y z) (- y t)))

simplify718.0ms

Counts

91 → 91

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	177	1460
1	388	1272
2	1503	1098
done	5001	1080

prune206.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.0b	(/ (/ x (- y z)) (- y t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

5.0ms	(/ x (- y z))
17.0ms	(/ (/ x (- y z)) (- y t))

series87.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ x (- y z))
60.0ms	(/ (/ x (- y z)) (- y t))

simplify831.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (254.0ms)

Iter	Nodes	Cost
0	268	3384
1	649	3198
2	1877	3122
done	5001	3122

prune491.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
9.8b	(/ x (* (- y z) (- y t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

19.0ms	(* (- y z) (- y t))
7.0ms	(/ x (* (- y z) (- y t)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
62.0ms	(/ x (* (- y z) (- y t)))

simplify907.0ms

Counts

91 → 91

Iterations

Useful iterations: done (905.0ms)

Iter	Nodes	Cost
0	177	1460
1	388	1272
2	1503	1098
done	5001	1080

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y z))
0.1b	(/ (/ 1 (- y z)) (- y t))
9.6b	(* x (/ (/ 1 (- y z)) (- y t)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

395×	`times-frac`
329×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
157×	`add-cube-cbrt`
111×	`associate-r`
80×	`distribute-lft-out--` `difference-of-squares`
31×	`add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
19×	`add-cbrt-cube`
14×	`flip3--` `div-exp` `flip--` `div-inv`
10×	`associate-/r*`
7×	`cbrt-undiv`
6×	`pow1`
5×	`prod-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `inv-pow`

Counts

3 → 333

Calls

3 calls:

6.0ms	(/ 1 (- y z))
19.0ms	(/ (/ 1 (- y z)) (- y t))
52.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- y z))
63.0ms	(/ (/ 1 (- y z)) (- y t))
63.0ms	(* x (/ (/ 1 (- y z)) (- y t)))

simplify1.1s

Counts

342 → 342

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	361	5484
1	948	4641
2	2156	4334
done	5000	4326

prune636.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

54.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.8b

bsearch53.0ms

Steps

Iters	Range		Point
2	6.603909243611975e+209	7.867046341610554e+209	7.393369929861086e+209
9	-1.0688594155832755e+216	-9.151386473682728e+210	-4.542799814064815e+213

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	43
1	28	43
done	28	43

end0.0ms

sample479.0ms

Algorithm

intervals

Results

259.0ms

8453×

body

valid