Details

sample364.0ms

Algorithm

intervals

Results

155.0ms	87×	body	1280	valid
109.0ms	44×	body	2560	valid
26.0ms	32×	body	640	valid
12.0ms	64×	body	80	valid
9.0ms	15×	body	320	valid
5.0ms	1×	body	5120	valid
4.0ms	13×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	234	25
4	507	25
5	910	25
6	1243	25
7	1453	25
8	1551	25
9	1742	25
10	1778	25
done	1778	25

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize34.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (fma a 2.0 1.0) b) t)
3.2b	(* t (* (fma y 2.0 1.0) z))
33.4b	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
33.8b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Counts

4 → 58

Calls

4 calls:

18.0ms	(* (* (fma a 2.0 1.0) b) t)
24.0ms	(* t (* (fma y 2.0 1.0) z))
5.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
7.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* (fma a 2.0 1.0) b) t)
78.0ms	(* t (* (fma y 2.0 1.0) z))
52.0ms	(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
35.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify869.0ms

Counts

70 → 70

Iterations

Useful iterations: done (866.0ms)

Iter	Nodes	Cost
0	118	846
1	265	834
2	1236	694
done	5001	684

prune571.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 40.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma y 2.0 1.0) z)
0.1b	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
3.2b	(* t (* (fma y 2.0 1.0) z))
33.8b	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(* (fma y 2.0 1.0) z)
11.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
28.0ms	(* t (* (fma y 2.0 1.0) z))
7.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (fma y 2.0 1.0) z)
94.0ms	(* x (cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0)))
73.0ms	(* t (* (fma y 2.0 1.0) z))
32.0ms	(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify950.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	114	1008
1	248	992
2	1336	834
done	5001	834

prune508.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 38.7b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune158.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.7b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
2.8b	(* (fma y 2.0 1.0) (* t z))
33.7b	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`unswap-sqr`

Counts

3 → 49

Calls

3 calls:

9.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
17.0ms	(* (fma y 2.0 1.0) (* t z))
11.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

series177.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(* x (cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0)))
52.0ms	(* (fma y 2.0 1.0) (* t z))
42.0ms	(cos (/ (* 1 (* (fma y 2.0 1.0) (* t z))) 16.0))

simplify763.0ms

Counts

58 → 58

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	96	878
1	219	794
2	1021	670
done	5002	664

prune278.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 38.5b

regimes1.5s

Accuracy

0% (4.3b remaining)

Error of 43.6b against oracle of 39.3b and baseline of 43.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 3 (3.0ms)

Iter	Nodes	Cost
0	7	11
1	9	7
2	10	5
3	15	1
done	15	1

end0.0ms

sample10.6s

Algorithm

intervals

Results

4.1s	1811×	body	2560	valid
2.9s	2243×	body	1280	valid
1.3s	1136×	body	640	valid
808.0ms	228×	body	160	valid
360.0ms	1993×	body	80	valid
298.0ms	551×	body	320	valid
123.0ms	38×	body	5120	valid