Details

sample51.0ms

Algorithm

intervals

Results

33.0ms

285×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5062
9	3430
8	730
7	300
6	170
5	118
4	88
3	60
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
9.0b	(/ (- x (* y z)) (- t (* a z)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
6×	`fma-neg` `prod-diff`
5×	`add-cbrt-cube` `add-exp-log`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `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 → 77

Calls

3 calls:

5.0ms	(- x (* y z))
5.0ms	(- t (* a z))
18.0ms	(/ (- x (* y z)) (- t (* a z)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (* y z))
62.0ms	(- t (* a z))
110.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify2.4s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3457
2	974
1	307
0	123

prune646.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.2b	(/ 1 (- t (* a z)))
9.0b	(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`add-log-exp`
7×	`pow1`
6×	`flip3--` `fma-neg` `prod-diff` `flip--`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `insert-posit16` `log1p-expm1-u`
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 → 123

Calls

4 calls:

11.0ms	(- x (* y z))
12.0ms	(- t (* a z))
18.0ms	(/ 1 (- t (* a z)))
29.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- x (* y z))
40.0ms	(- t (* a z))
59.0ms	(/ 1 (- t (* a z)))
104.0ms	(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify2.9s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
3	3075
2	1149
1	400
0	165

prune654.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* y z))
0.0b	(- t (* a z))
0.4b	(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.0b	(/ (- t (* a z)) (- x (* y z)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`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×	`fma-neg` `prod-diff` `div-inv` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`div-sub` `pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

5.0ms	(- x (* y z))
5.0ms	(- t (* a z))
13.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
15.0ms	(/ (- t (* a z)) (- x (* y z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- x (* y z))
54.0ms	(- t (* a z))
266.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
84.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify1.6s

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
2	1559
1	594
0	234

prune807.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* a z))
0.2b	(/ 1 (- t (* a z)))
0.8b	(/ 1 (- x (* y z)))
8.6b	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
246×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3--` `div-inv` `flip--`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `prod-diff`
2×	`pow-flip` `inv-pow`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

4 → 383

Calls

4 calls:

7.0ms	(- t (* a z))
10.0ms	(/ 1 (- t (* a z)))
8.0ms	(/ 1 (- x (* y z)))
35.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- t (* a z))
58.0ms	(/ 1 (- t (* a z)))
72.0ms	(/ 1 (- x (* y z)))
359.0ms	(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify2.4s

Counts

395 → 395

Iterations

Iter	Nodes
done	5006
2	3661
1	1664
0	551

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.8b

regimes542.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.2b and baseline of 10.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s

8715×

body

valid