Details

sample51.0ms

Algorithm

intervals

Results

28.0ms

265×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize24.0ms

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))

rewrite371.0ms

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:

9.0ms	(- (* t z) x)
75.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
231.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

series476.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* t z) x)
168.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
161.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
103.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.5s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.0s)

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

prune390.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

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))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`associate-+r-`

Counts

4 → 175

Calls

4 calls:

1.3s	(/ (+ x (- (/ z (/ (- (* t z) x) y)) (/ x (- (* t z) x)))) (+ x 1.0))
41.0ms	(/ (- (* t z) x) y)
31.0ms	(/ x (- (* t z) x))
18.0ms	(/ z (/ (- (* t z) x) y))

series518.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(/ (+ x (- (/ z (/ (- (* t z) x) y)) (/ x (- (* t z) x)))) (+ x 1.0))
78.0ms	(/ (- (* t z) x) y)
102.0ms	(/ x (- (* t z) x))
95.0ms	(/ z (/ (- (* t z) x) y))

simplify1.4s

Counts

187 → 187

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	284	3712
1	646	3572
2	2032	3362
done	5000	3358

prune781.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

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))

rewrite159.0ms

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:

18.0ms	(/ 1 (- (* t z) x))
32.0ms	(/ (- (* t z) x) y)
63.0ms	(* x (/ 1 (- (* t z) x)))
31.0ms	(/ z (/ (- (* t z) x) y))

series319.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- (* t z) x))
78.0ms	(/ (- (* t z) x) y)
103.0ms	(* x (/ 1 (- (* t z) x)))
92.0ms	(/ z (/ (- (* t z) x) y))

simplify3.4s

Counts

183 → 183

Iterations

Useful iterations: 3 (1.9s)

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

prune847.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize60.0ms

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:

23.0ms	(/ z (/ (- (* t z) x) y))
13.0ms	(cbrt (- (* t z) x))
13.0ms	(cbrt (- (* t z) x))
13.0ms	(cbrt (- (* t z) x))

series944.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ z (/ (- (* t z) x) y))
513.0ms	(cbrt (- (* t z) x))
168.0ms	(cbrt (- (* t z) x))
163.0ms	(cbrt (- (* t z) x))

simplify2.5s

Counts

121 → 121

Iterations

Useful iterations: done (2.5s)

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

prune717.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes256.0ms

Accuracy

27.9% (3.1b remaining)

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

bsearch88.0ms

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

sample1.1s

Algorithm

intervals

Results

653.0ms

8302×

body

valid