Details

sample35.0ms

Algorithm

intervals

Results

16.0ms	339×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	1591
7	1591
6	1539
5	1279
4	632
3	237
2	88
1	31
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma (+ y z) 2 t) x (* 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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify1.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5011
4	1330
3	306
2	99
1	48
0	28

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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` `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 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

series2.9s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))))
549.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
519.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
487.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))

simplify2.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2563
2	926
1	383
0	159

prune748.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
8.0ms	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
8.0ms	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))

series3.9s

Counts

4 → 12

Calls

4 calls:

523.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
574.0ms	(cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.4s	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))
1.4s	(cbrt (* (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (cbrt (fma (fma (+ y z) 2 t) x (* y 5.0)))))

simplify2.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2220
2	813
1	340
0	147

prune691.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (+ y z) 2 t) x (* y 5.0))
0.1b	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.1b	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
0.2b	(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (fma (+ y z) 2 t) x (* y 5.0))
1.0ms	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
1.0ms	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
12.0ms	(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

series575.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (fma (+ y z) 2 t) x (* y 5.0))
231.0ms	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
209.0ms	(sqrt (fma (fma (+ y z) 2 t) x (* y 5.0)))
59.0ms	(* (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))) (sqrt (fma (fma (+ y z) 2 t) x (* y 5.0))))

simplify3.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
4	4350
3	984
2	351
1	166
0	88

prune591.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes346.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s	10598×	body	80	valid
24.0ms	86×	body	1280	valid
20.0ms	89×	body	640	valid
10.0ms	61×	body	320	valid
3.0ms	32×	body	160	valid