Details

sample53.0ms

Algorithm

intervals

Results

21.0ms

279×

body

valid

simplify6.9s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize34.0ms

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)))

rewrite63.0ms

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:

18.0ms	(- t (* a z))
9.0ms	(- x (* y z))
29.0ms	(/ (- x (* y z)) (- t (* a z)))

series356.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- t (* a z))
89.0ms	(- x (* y z))
191.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify6.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3549
2	966
1	306
0	123

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.7b

localize62.0ms

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)))

rewrite112.0ms

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:

16.0ms	(- t (* a z))
9.0ms	(- x (* y z))
31.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
33.0ms	(/ (- t (* a z)) (- x (* y z)))

series785.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- t (* a z))
57.0ms	(- x (* y z))
486.0ms	(/ 1 (/ (- t (* a z)) (- x (* y z))))
162.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify4.3s

Counts

176 → 176

Iterations

Iter	Nodes
done	5001
2	1505
1	594
0	234

prune3.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.7b

localize60.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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:

16.0ms	(- t (* z a))
9.0ms	(- x (* y z))
37.0ms	(/ (- x (* y z)) (- t (* z a)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- t (* z a))
68.0ms	(- x (* y z))
160.0ms	(/ (- x (* y z)) (- t (* z a)))

simplify5.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	3710
2	955
1	310
0	125

prune1.6s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 9.7b

localize138.0ms

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)))

rewrite143.0ms

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×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 132

Calls

4 calls:

20.0ms	(cbrt (/ (- t (* a z)) (- x (* y z))))
39.0ms	(/ (- t (* a z)) (- x (* y z)))
29.0ms	(/ (- t (* a z)) (- x (* y z)))
48.0ms	(/ (- t (* a z)) (- x (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

637.0ms	(cbrt (/ (- t (* a z)) (- x (* y z))))
128.0ms	(/ (- t (* a z)) (- x (* y z)))
149.0ms	(/ (- t (* a z)) (- x (* y z)))
139.0ms	(/ (- t (* a z)) (- x (* y z)))

simplify5.7s

Counts

144 → 144

Iterations

Iter	Nodes
done	5002
3	3514
2	1071
1	398
0	172

prune2.9s

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.7b

regimes3.0s

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

573.0ms

8695×

body

valid