Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	307×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	3×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	19	8
2	34	8
3	50	8
4	60	8
5	61	8
done	61	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

41.0ms	(* x (+ y z))
27.0ms	(+ (* x (+ y z)) (* z 5.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (+ y z))
69.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (968.0ms)

Iter	Nodes	Cost
0	76	454
1	228	403
2	778	374
3	3309	369
done	5000	369

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

13.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt (fma x (+ y z) (* z 5.0))) (cbrt (fma x (+ y z) (* z 5.0))))
246.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
249.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
277.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	108	1792
1	245	1664
2	621	1503
3	1695	1268
done	5000	1229

prune387.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt 1) (pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)) (cbrt (fma x (+ y z) (* z 5.0))))
0.5b	(pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))
0.6b	(cbrt (fma x (+ y z) (* z 5.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
7×	`prod-exp`
6×	`associate-r` `sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `cbrt-unprod`
2×	`pow-to-exp` `sqrt-pow1` `pow-exp`
1×	`pow1/2` `associate-l` `pow-prod-down` `*-commutative` `sqrt-pow2` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

59.0ms	(* (* (cbrt 1) (pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)) (cbrt (fma x (+ y z) (* z 5.0))))
5.0ms	(pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
1.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

series914.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (cbrt 1) (pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)) (cbrt (fma x (+ y z) (* z 5.0))))
385.0ms	(pow (sqrt (cbrt (fma x (+ y z) (* z 5.0)))) 4)
240.0ms	(cbrt (fma x (+ y z) (* z 5.0)))
240.0ms	(cbrt (fma x (+ y z) (* z 5.0)))

simplify2.5s

Counts

91 → 91

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	165	1844
1	400	1687
2	890	1266
3	2538	1086
done	5002	1065

prune421.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (expm1 (fma z (+ x 5.0) (* x y))))
0.0b	(expm1 (fma z (+ x 5.0) (* x y)))
0.0b	(fma z (+ x 5.0) (* x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

1.0ms	(log1p (expm1 (fma z (+ x 5.0) (* x y))))
1.0ms	(expm1 (fma z (+ x 5.0) (* x y)))
1.0ms	(fma z (+ x 5.0) (* x y))

series243.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(log1p (expm1 (fma z (+ x 5.0) (* x y))))
81.0ms	(expm1 (fma z (+ x 5.0) (* x y)))
59.0ms	(fma z (+ x 5.0) (* x y))

simplify3.6s

Counts

41 → 41

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	48	470
1	78	426
2	175	375
3	691	372
4	3912	371
done	5000	371

prune197.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

589.0ms	9780×	body	80	valid
24.0ms	132×	body	1280	valid
17.0ms	112×	body	640	valid
7.0ms	66×	body	320	valid
3.0ms	38×	body	160	valid