Details

sample36.0ms

Algorithm

intervals

Results

21.0ms

265×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	178	17
6	362	17
7	829	17
8	2007	17
done	5001	17

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

12.0ms	(- (* t z) x)
50.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
195.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
46.0ms	(/ (- (* y z) x) (- (* t z) x))

series377.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* t z) x)
92.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
166.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
94.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.1s

Counts

110 → 110

Iterations

Useful iterations: 3 (808.0ms)

Iter	Nodes	Cost
0	157	2130
1	398	2046
2	1160	1920
3	3453	1916
done	5000	1916

prune393.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
3.4b	(/ (- (* t z) x) y)
3.6b	(/ x (- (* t z) x))
7.2b	(/ z (/ (- (* t z) x) y))

rewrite797.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`*-un-lft-identity`
100×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
23×	`associate-/r*`
16×	`associate-/l*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l/`
5×	`associate-/r/`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3--` `flip--`
2×	`flip3-+` `div-sub` `frac-sub` `flip-+`

Counts

4 → 187

Calls

4 calls:

710.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
28.0ms	(/ (- (* t z) x) y)
27.0ms	(/ x (- (* t z) x))
23.0ms	(/ z (/ (- (* t z) x) y))

series470.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
78.0ms	(/ (- (* t z) x) y)
89.0ms	(/ x (- (* t z) x))
94.0ms	(/ z (/ (- (* t z) x) y))

simplify1.1s

Counts

199 → 199

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	310	4247
1	733	4099
2	2315	3889
done	5001	3881

prune653.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* t z) x))
3.4b	(/ (- (* t z) x) y)
3.6b	(* x (/ 1 (- (* t z) x)))
7.2b	(/ z (/ (- (* t z) x) y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
77×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
70×	`add-cube-cbrt`
24×	`add-exp-log`
19×	`associate-/r*`
18×	`add-cbrt-cube`
15×	`associate-r`
9×	`associate-/l*`
8×	`div-exp` `div-inv`
7×	`pow1`
6×	`cbrt-undiv`
5×	`associate-/r/`
4×	`prod-exp` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--` `unswap-sqr`
2×	`rec-exp` `1-exp` `cbrt-unprod` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 171

Calls

4 calls:

17.0ms	(/ 1 (- (* t z) x))
20.0ms	(/ (- (* t z) x) y)
45.0ms	(* x (/ 1 (- (* t z) x)))
26.0ms	(/ z (/ (- (* t z) x) y))

series293.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- (* t z) x))
67.0ms	(/ (- (* t z) x) y)
97.0ms	(* x (/ 1 (- (* t z) x)))
87.0ms	(/ z (/ (- (* t z) x) y))

simplify2.9s

Counts

183 → 183

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	249	2611
1	570	2383
2	1625	2209
3	4759	2205
done	5000	2205

prune691.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize47.0ms

Local error

Found 4 expressions with local error:

7.2b	(/ z (/ (- (* t z) x) y))
9.8b	(cbrt (- (* t z) x))
9.8b	(cbrt (- (* t z) x))
9.8b	(cbrt (- (* t z) x))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/r*`
9×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`cbrt-div`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `pow1/3` `div-exp` `flip--` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 109

Calls

4 calls:

30.0ms	(/ z (/ (- (* t z) x) y))
14.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))
6.0ms	(cbrt (- (* t z) x))

series560.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ z (/ (- (* t z) x) y))
171.0ms	(cbrt (- (* t z) x))
171.0ms	(cbrt (- (* t z) x))
151.0ms	(cbrt (- (* t z) x))

simplify2.9s

Counts

121 → 121

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	207	1944
1	464	1862
2	1355	1759
3	4038	1733
done	5001	1703

prune780.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes246.0ms

Accuracy

27.9% (3.1b remaining)

Error of 3.4b against oracle of 0.2b and baseline of 4.6b

bsearch95.0ms

Steps

Iters	Range		Point
8	8.26536377327354e+83	4.022397810881141e+88	6.043915376694697e+86
6	-1.3306255153931195e+55	-1.1657095733161405e+54	-7.150582175885459e+54

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	24	45
1	34	37
done	34	37

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s

8302×

body

valid