Details

sample252.0ms

Algorithm

intervals

Results

107.0ms	87×	body	1280	valid
70.0ms	44×	body	2560	valid
19.0ms	32×	body	640	valid
8.0ms	64×	body	80	valid
6.0ms	15×	body	320	valid
4.0ms	1×	body	5120	valid
4.0ms	13×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	42	27
2	98	27
3	223	27
4	460	27
5	798	27
6	1063	27
7	1248	27
8	1338	27
9	1494	27
10	1506	27
done	1506	27

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
50.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
7.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
5.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series216.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
51.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
61.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.6s

Counts

66 → 66

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	138	888
1	382	878
2	2591	732
done	5002	730

prune611.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 40.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

36.0ms	(* (+ (* y 2.0) 1.0) z)
16.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
59.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series215.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
84.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
49.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	118	1057
1	295	1046
2	1828	886
done	5002	882

prune531.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 38.7b

localize4.0ms

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

prune173.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 38.7b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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×	`add-log-exp`
2×	`associate-l/` `-commutative`
1×	`flip3-+` `flip-+` `unswap-sqr`

Counts

3 → 45

Calls

3 calls:

15.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
68.0ms	(* (+ (* y 2.0) 1.0) (* z t))
7.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

series242.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* x (cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0)))
70.0ms	(* (+ (* y 2.0) 1.0) (* z t))
62.0ms	(cos (/ (* (+ (* y 2.0) 1.0) (* z t)) 16.0))

simplify973.0ms

Counts

54 → 54

Iterations

Useful iterations: done (971.0ms)

Iter	Nodes	Cost
0	96	821
1	250	815
2	1045	675
done	5001	673

prune192.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 38.6b

regimes2.7s

Accuracy

0% (4.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	6	1
done	6	1

end0.0ms

sample7.8s

Algorithm

intervals

Results

3.3s	1811×	body	2560	valid
2.0s	2243×	body	1280	valid
1.4s	1136×	body	640	valid
337.0ms	1993×	body	80	valid
248.0ms	551×	body	320	valid
104.0ms	38×	body	5120	valid
50.0ms	228×	body	160	valid