Details

sample37.0ms

Algorithm

intervals

Results

20.0ms

279×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
9	3311
8	723
7	277
6	156
5	104
4	80
3	52
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
9.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 59

Calls

3 calls:

11.0ms	(- t (* a z))
7.0ms	(- x (* y z))
22.0ms	(/ (- x (* y z)) (- t (* a z)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- t (* a z))
33.0ms	(- x (* y z))
78.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify2.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5007
3	2769
2	805
1	260
0	99

prune370.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
0.2b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.6b	(/ (- t (* a z)) (- x (* y z)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`flip3--` `div-exp` `flip--` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 144

Calls

4 calls:

8.0ms	(- t (* a z))
8.0ms	(- x (* y z))
28.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
17.0ms	(/ (- t (* a z)) (- x (* y z)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- t (* a z))
36.0ms	(- x (* y z))
286.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
70.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.3s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	1515
1	554
0	208

prune576.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.0b	(- x (* y z))
1.0b	(/ 1 (- t (* a z)))
9.2b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `flip--`
4×	`div-exp` `prod-exp` `associate-/r/` `insert-posit16`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `diff-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 103

Calls

4 calls:

5.0ms	(- t (* a z))
5.0ms	(- x (* y z))
10.0ms	(/ 1 (- t (* a z)))
53.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- t (* a z))
32.0ms	(- x (* y z))
52.0ms	(/ 1 (- t (* a z)))
77.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify2.3s

Counts

115 → 115

Iterations

Iter	Nodes
done	5001
3	3763
2	1182
1	356
0	139

prune530.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 9.5b

localize42.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (/ (- t (* a z)) (- x (* y z))))
9.6b	(/ (- t (* a z)) (- x (* y z)))
9.6b	(/ (- t (* a z)) (- x (* y z)))
9.6b	(/ (- t (* a z)) (- x (* y z)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
7×	`flip3--` `flip--`
6×	`associate-/l/`
4×	`pow1` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 124

Calls

4 calls:

11.0ms	(cbrt (/ (- t (* a z)) (- x (* y z))))
25.0ms	(/ (- t (* a z)) (- x (* y z)))
22.0ms	(/ (- t (* a z)) (- x (* y z)))
20.0ms	(/ (- t (* a z)) (- x (* y z)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (/ (- t (* a z)) (- x (* y z))))
98.0ms	(/ (- t (* a z)) (- x (* y z)))
97.0ms	(/ (- t (* a z)) (- x (* y z)))
91.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.9s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
3	3367
2	1036
1	384
0	168

prune1.0s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.5b

regimes580.0ms

Accuracy

0% (0.5b remaining)

Error of 10.8b against oracle of 10.3b and baseline of 10.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample798.0ms

Algorithm

intervals

Results

515.0ms

8695×

body

valid