Details

sample80.0ms

Algorithm

intervals

Results

58.0ms

480×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1776
5	748
4	361
3	169
2	51
1	21
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* z z))
4.3b	(fma (* y 4.0) (- t (* z z)) (* 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 (* y 4.0) (- t (* z z)) (* x x))

series156.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- t (* z z))
118.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify695.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	2000
3	1585
2	436
1	148
0	67

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 4 expressions with local error:

4.3b	(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
4.8b	(cbrt (- t (* z z)))
4.8b	(cbrt (- t (* z z)))
4.8b	(cbrt (- t (* z z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 62

Calls

4 calls:

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

series1.4s

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma (* y 4.0) (* (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))) (cbrt (- t (* z z)))) (* x x))
318.0ms	(cbrt (- t (* z z)))
401.0ms	(cbrt (- t (* z z)))
469.0ms	(cbrt (- t (* z z)))

simplify932.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	2000
3	1587
2	518
1	213
0	99

prune551.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 3.7b

localize53.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- t (* z z)))
4.8b	(cbrt (- t (* z z)))
4.8b	(cbrt (- t (* z z)))
4.8b	(cbrt (- t (* z z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
12×	`add-sqr-sqrt`
8×	`cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (- t (* z z)))
5.0ms	(cbrt (- t (* z z)))
5.0ms	(cbrt (- t (* z z)))
5.0ms	(cbrt (- t (* z z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

431.0ms	(cbrt (- t (* z z)))
400.0ms	(cbrt (- t (* z z)))
353.0ms	(cbrt (- t (* z z)))
441.0ms	(cbrt (- t (* z z)))

simplify674.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2002
3	941
2	361
1	165
0	74

prune553.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.7b

localize47.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
4.3b	(fma (* y 4.0) (- t (* z z)) (* x x))
4.3b	(fma (* y 4.0) (- t (* z z)) (* x x))
4.3b	(fma (* y 4.0) (- t (* z z)) (* x x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 47

Calls

4 calls:

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

series1.0s

Counts

4 → 12

Calls

4 calls:

544.0ms	(cbrt (fma (* y 4.0) (- t (* z z)) (* x x)))
159.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
167.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))
163.0ms	(fma (* y 4.0) (- t (* z z)) (* x x))

simplify834.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2000
3	1112
2	352
1	146
0	72

prune427.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.7b

regimes499.0ms

Accuracy

0% (0.6b remaining)

Error of 5.3b against oracle of 4.7b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.2s

15727×

body

valid