Details

sample60.0ms

Algorithm

intervals

Results

41.0ms

461×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4494
7	3511
6	1632
5	723
4	365
3	171
2	52
1	21
0	11

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* z z))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

5.0ms	(- t (* z z))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series163.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- t (* z z))
112.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify1.7s

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
3	1327
2	385
1	147
0	68

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.4b

localize41.0ms

Local error

Found 4 expressions with local error:

1.1b	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
1.1b	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 54

Calls

4 calls:

1.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
1.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series694.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
226.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
127.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
101.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify3.0s

Counts

66 → 66

Iterations

Iter	Nodes
done	5003
4	2610
3	641
2	190
1	81
0	48

prune448.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.4b

localize58.0ms

Local error

Found 4 expressions with local error:

5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series433.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
131.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
97.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
99.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify2.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5012
4	1775
3	490
2	155
1	59
0	31

prune402.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.4b

localize30.0ms

Local error

Found 4 expressions with local error:

1.1b	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
3.4b	(exp (log (sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
5.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`log-prod` `exp-prod` `exp-sum` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-pow`
2×	`sqrt-pow1` `pow1/2` `fma-udef`
1×	`rem-sqrt-square` `rem-exp-log`

Counts

4 → 61

Calls

4 calls:

2.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
6.0ms	(exp (log (sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
0.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series876.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
304.0ms	(exp (log (sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))))
122.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
135.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify2.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5012
4	2765
3	810
2	332
1	127
0	82

prune499.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.4b

regimes436.0ms

Accuracy

0% (0.0b remaining)

Error of 5.4b against oracle of 5.4b and baseline of 5.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s

15824×

body

valid