Details

sample90.0ms

Algorithm

intervals

Results

60.0ms

426×

body

valid

simplify709.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	1455
3	408
2	116
1	38
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0b	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.0b	(fma z (- 1.0 y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 33

Calls

3 calls:

0.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
0.0ms	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(fma z (- 1.0 y) x)

series377.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma a (- 1.0 t) (fma z (- 1.0 y) x))
231.0ms	(fma (- (+ t y) 2.0) b (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
36.0ms	(fma z (- 1.0 y) x)

simplify522.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	2020
3	930
2	262
1	117
0	64

prune272.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))
0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))

rewrite20.0ms

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:

17.0ms	(* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))
1.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

713.0ms	(* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))))
359.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
348.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
310.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))

simplify720.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	2001
2	815
1	336
0	136

prune730.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.6b	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
0.6b	(cbrt (* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`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 → 54

Calls

4 calls:

2.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
1.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
13.0ms	(cbrt (* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))))

series1.6s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
326.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
303.0ms	(cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))
676.0ms	(cbrt (* (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x))) (cbrt (fma a (- 1.0 t) (fma z (- 1.0 y) x)))))

simplify908.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	2000
3	1950
2	675
1	284
0	119

prune704.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes441.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s	12459×	body	80	valid
1.0ms	1×	body	640	valid
1.0ms	2×	body	320	valid
1.0ms	2×	body	160	valid