Details

sample46.0ms

Algorithm

intervals

Results

22.0ms

265×

body

valid

simplify4.8s

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: 9.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

14.0ms	(- (* t z) x)
15.0ms	(- (* y z) x)
241.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
36.0ms	(/ (- (* y z) x) (- (* t z) x))

series358.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (* t z) x)
39.0ms	(- (* y z) x)
196.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
90.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.4s

Counts

109 → 109

Iterations

Useful iterations: 3 (906.0ms)

Iter	Nodes	Cost
0	159	1974
1	400	1922
2	1189	1790
3	3494	1784
done	5000	1784

prune417.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b	(* y (/ z (- (* t z) x)))
3.3b	(/ x (- (* t z) x))
9.7b	(/ z (- (* t z) x))

rewrite531.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

383.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
75.0ms	(* y (/ z (- (* t z) x)))
28.0ms	(/ x (- (* t z) x))
37.0ms	(/ z (- (* t z) x))

series363.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
44.0ms	(* y (/ z (- (* t z) x)))
100.0ms	(/ x (- (* t z) x))
53.0ms	(/ z (- (* t z) x))

simplify2.1s

Counts

145 → 145

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	205	2667
1	471	2589
2	1325	2389
3	3874	2389
done	5000	2389

prune571.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- (* t z) x) x))
2.5b	(* y (/ z (- (* t z) x)))
3.2b	(/ (- (* t z) x) x)
9.7b	(/ z (- (* t z) x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 169

Calls

4 calls:

18.0ms	(/ 1 (/ (- (* t z) x) x))
39.0ms	(* y (/ z (- (* t z) x)))
35.0ms	(/ (- (* t z) x) x)
17.0ms	(/ z (- (* t z) x))

series196.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (/ (- (* t z) x) x))
40.0ms	(* y (/ z (- (* t z) x)))
61.0ms	(/ (- (* t z) x) x)
54.0ms	(/ z (- (* t z) x))

simplify2.6s

Counts

181 → 181

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	240	2587
1	544	2339
2	1353	2086
3	3719	2028
done	5000	2028

prune727.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (- (pow (/ y (- t (/ x z))) 1) (/ 1 (/ (- (* t z) x) x)))) (+ x 1.0))
0.4b	(/ 1 (/ (- (* t z) x) x))
2.6b	(/ y (- t (/ x z)))
3.2b	(/ (- (* t z) x) x)

rewrite2.8s

Algorithm

rewrite-expression-head

Rules

134×	`*-un-lft-identity`
130×	`times-frac`
97×	`add-sqr-sqrt`
77×	`add-cube-cbrt`
26×	`associate-/r*`
22×	`distribute-lft-out`
21×	`add-exp-log`
15×	`add-cbrt-cube` `associate-/l*`
14×	`distribute-lft-out--`
13×	`div-inv`
10×	`div-exp`
8×	`difference-of-squares`
6×	`cbrt-undiv`
5×	`pow1` `associate-/r/`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `flip3--` `flip3-+` `1-exp` `div-sub` `flip--` `flip-+`
1×	`associate-+r-` `pow-flip` `inv-pow`

Counts

4 → 198

Calls

4 calls:

2.7s	(/ (+ x (- (pow (/ y (- t (/ x z))) 1) (/ 1 (/ (- (* t z) x) x)))) (+ x 1.0))
17.0ms	(/ 1 (/ (- (* t z) x) x))
20.0ms	(/ y (- t (/ x z)))
42.0ms	(/ (- (* t z) x) x)

series380.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(/ (+ x (- (pow (/ y (- t (/ x z))) 1) (/ 1 (/ (- (* t z) x) x)))) (+ x 1.0))
60.0ms	(/ 1 (/ (- (* t z) x) x))
60.0ms	(/ y (- t (/ x z)))
71.0ms	(/ (- (* t z) x) x)

simplify3.2s

Counts

210 → 210

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	310	4213
1	679	3787
2	1673	3368
3	4952	3348
done	5000	3348

prune820.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	19	27
1	24	25
done	24	25

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

8343×

body

valid