Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

279×

body

valid

simplify874.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	54	9
4	76	9
5	99	9
6	119	9
7	129	9
8	139	9
9	140	9
10	145	9
11	165	9
12	233	9
13	254	9
14	280	9
15	323	9
16	353	9
17	429	9
18	527	9
19	543	9
20	547	9
done	547	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
10.1b	(/ (* x (- y z)) (- t z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

10.0ms	(* x (- y z))
10.0ms	(/ (* x (- y z)) (- t z))

series97.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (- y z))
62.0ms	(/ (* x (- y z)) (- t z))

simplify420.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	105	599
1	270	575
2	1133	501
done	5001	501

prune117.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- y z))
1.9b	(/ x (/ (- t z) (- y z)))

rewrite40.0ms

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:

11.0ms	(/ (- t z) (- y z))
17.0ms	(/ x (/ (- t z) (- y z)))

series192.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- t z) (- y z))
146.0ms	(/ x (/ (- t z) (- y z)))

simplify774.0ms

Counts

200 → 200

Iterations

Useful iterations: 2 (198.0ms)

Iter	Nodes	Cost
0	270	3488
1	637	3268
2	2754	3166
done	5000	3166

prune396.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y z))
0.0b	(/ z (- y z))
1.9b	(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
156×	`times-frac`
134×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
54×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
3×	`pow1` `cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `add-log-exp`
1×	`frac-sub` `sub-div`

Counts

3 → 165

Calls

3 calls:

6.0ms	(/ t (- y z))
6.0ms	(/ z (- y z))
81.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

series175.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- y z))
44.0ms	(/ z (- y z))
103.0ms	(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify613.0ms

Counts

174 → 174

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	264	2770
1	507	2585
2	1786	2511
done	5000	2511

prune384.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- y z))
0.0b	(/ 1 (- y z))
0.2b	(* t (/ 1 (- y z)))
1.9b	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
66×	`*-un-lft-identity`
59×	`times-frac`
43×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
15×	`add-cbrt-cube`
14×	`associate-/r*`
12×	`associate-/r/`
11×	`distribute-lft-out--` `difference-of-squares`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`div-exp`
4×	`cbrt-undiv` `flip3--` `distribute-rgt-out--` `prod-exp` `flip--` `add-log-exp`
3×	`frac-2neg` `associate-r/` `associate-l*` `clear-num` `un-div-inv` `unswap-sqr`
2×	`rec-exp` `1-exp` `frac-sub` `cbrt-unprod` `sub-div`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 159

Calls

4 calls:

5.0ms	(/ z (- y z))
6.0ms	(/ 1 (- y z))
17.0ms	(* t (/ 1 (- y z)))
31.0ms	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ z (- y z))
33.0ms	(/ 1 (- y z))
31.0ms	(* t (/ 1 (- y z)))
104.0ms	(/ x (- (* t (/ 1 (- y z))) (/ z (- y z))))

simplify3.1s

Counts

171 → 171

Iterations

Useful iterations: 3 (959.0ms)

Iter	Nodes	Cost
0	223	2051
1	490	1755
2	1596	1587
3	4936	1509
done	5000	1509

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

-16.1% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.0b

bsearch73.0ms

Steps

Iters	Range		Point
10	-8.572863479431592e-261	-2.5998418277454444e-272	-1.7069294686818465e-261
8	-7.482789825668885e+35	-5.079470124687608e+32	-1.390173372602323e+33

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	45
1	27	45
done	27	45

end0.0ms

sample445.0ms

Algorithm

intervals

Results

231.0ms

8726×

body

valid