Details

sample72.0ms

Algorithm

intervals

Results

45.0ms	337×	body	80	valid
2.0ms	4×	body	1280	valid
1.0ms	3×	body	640	valid
1.0ms	2×	body	320	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	1674
7	1674
6	1644
5	1430
4	782
3	267
2	88
1	31
0	12

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma (+ y z) 2 t) (* y 5.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 11

Calls

1 calls:

0.0ms

(fma x (fma (+ y z) 2 t) (* y 5.0))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(fma x (fma (+ y z) 2 t) (* y 5.0))

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5001
4	1482
3	371
2	128
1	57
0	31

prune90.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
0.5b	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.5b	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.5b	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

16.0ms	(* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
1.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
2.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))

series1.8s

Counts

4 → 12

Calls

4 calls:

515.0ms	(* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
454.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
420.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
423.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	2212
2	803
1	337
0	146

prune773.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.5b	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
0.6b	(cbrt (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
0.6b	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
1.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
1.0ms	(cbrt (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
5.0ms	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

408.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
372.0ms	(cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))
377.0ms	(cbrt (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))
571.0ms	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))

simplify2.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2721
2	909
1	371
0	167

prune670.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))
0.6b	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
0.6b	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
0.6b	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))
3.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
3.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
3.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))

series2.1s

Counts

4 → 12

Calls

4 calls:

519.0ms	(cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0)))))
541.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
511.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))
522.0ms	(cbrt (cbrt (* (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))) (cbrt (fma x (fma (+ y z) 2 t) (* y 5.0))))))

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
3	1806
2	647
1	265
0	121

prune703.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.4s	10591×	body	80	valid
97.0ms	98×	body	1280	valid
33.0ms	103×	body	640	valid
17.0ms	57×	body	320	valid
5.0ms	29×	body	160	valid