Details

sample76.0ms

Algorithm

intervals

Results

39.0ms

535×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3807
6	1752
5	777
4	360
3	169
2	51
1	21
0	11

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize31.0ms

Local error

Found 1 expressions with local error:

6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series171.0ms

Counts

1 → 3

Calls

1 calls:

171.0ms

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

simplify2.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5005
4	1473
3	431
2	151
1	57
0	30

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.7b

localize59.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (fma (- t (* z z)) (* y 4.0) (* x x)))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

2.0ms	(cbrt (fma (- t (* z z)) (* y 4.0) (* x x)))
1.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
1.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
1.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series1.4s

Counts

4 → 12

Calls

4 calls:

865.0ms	(cbrt (fma (- t (* z z)) (* y 4.0) (* x x)))
190.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
188.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
196.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify5.0s

Counts

55 → 55

Iterations

Iter	Nodes
done	5031
4	3469
3	908
2	291
1	119
0	63

prune600.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 6.7b

localize105.0ms

Local error

Found 4 expressions with local error:

6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series771.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
182.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
189.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
202.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify3.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	5005
4	1473
3	431
2	151
1	57
0	30

prune727.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 6.7b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
1.0b	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))
6.4b	(fma (- t (* z z)) (* y 4.0) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

3.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
4.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
1.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
1.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

series1.4s

Counts

4 → 12

Calls

4 calls:

485.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
467.0ms	(sqrt (fma (- t (* z z)) (* y 4.0) (* x x)))
194.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))
209.0ms	(fma (- t (* z z)) (* y 4.0) (* x x))

simplify4.2s

Counts

62 → 62

Iterations

Iter	Nodes
done	5042
4	2163
3	570
2	184
1	78
0	46

prune634.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.7b

regimes894.0ms

Accuracy

0% (0.1b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.6s

15743×

body

valid