Details

sample32.0ms

Algorithm

intervals

Results

15.0ms	275×	body	80	valid
0.0ms	1×	body	640	valid

simplify770.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

33.0ms	(/ (- z t) (- z a))
51.0ms	(* y (/ (- z t) (- z a)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z t) (- z a))
94.0ms	(* y (/ (- z t) (- z a)))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune313.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 327

Calls

3 calls:

23.0ms	(/ (- z a) (- z t))
30.0ms	(/ 1 (/ (- z a) (- z t)))
83.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series336.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z a) (- z t))
133.0ms	(/ 1 (/ (- z a) (- z t)))
151.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.7s

Counts

336 → 336

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	348	5434
1	849	4391
2	1788	4010
done	5000	3934

prune673.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

30.0ms	(/ (- z a) (- z t))
37.0ms	(/ y (/ (- z a) (- z t)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- z a) (- z t))
162.0ms	(/ y (/ (- z a) (- z t)))

simplify1.3s

Counts

200 → 200

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	268	3480
1	613	3260
2	2222	3158
done	5000	3152

prune603.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite497.0ms

Algorithm

rewrite-expression-head

Rules

2223×	`times-frac`
1367×	`add-sqr-sqrt`
1338×	`*-un-lft-identity`
800×	`add-cube-cbrt`
446×	`associate-r`
266×	`distribute-lft-out--` `difference-of-squares`
178×	`associate-/r/`
110×	`add-exp-log`
90×	`div-inv`
88×	`flip3--` `flip--`
68×	`div-exp`
38×	`add-cbrt-cube`
31×	`associate-/r*`
27×	`associate-/l*`
18×	`cbrt-undiv` `rec-exp` `1-exp`
17×	`prod-exp`
10×	`unswap-sqr`
8×	`pow1`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 1088

Calls

4 calls:

18.0ms	(/ 1 (- z t))
17.0ms	(/ 1 (- z a))
63.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
240.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (- z t))
36.0ms	(/ 1 (- z a))
124.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
151.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

simplify2.0s

Counts

1100 → 1100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	1065	23639
1	2940	17003
done	5001	15129

prune2.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes274.0ms

Accuracy

39.5% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.4b

bsearch101.0ms

Steps

Iters	Range		Point
8	7.709967539277048e-128	2.280333656610178e-125	1.0076840122372241e-126
10	-4.5507113631979727e+86	-4.096056853299748e+70	-4.072361122530727e+71

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	43
1	31	31
done	31	31

end0.0ms

sample981.0ms

Algorithm

intervals

Results

589.0ms	8670×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid