Details

sample209.0ms

Algorithm

intervals

Results

70.0ms	277×	body	80	nan
29.0ms	44×	body	1280	valid
20.0ms	191×	body	80	valid
14.0ms	13×	body	2560	valid
13.0ms	24×	body	640	valid
5.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	100	19
5	108	19
6	110	19
done	110	19

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ a (* b 3.0))
24.8b	(cos (- y (/ (* z t) 3.0)))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
53.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.0ms	(/ a (* b 3.0))
42.0ms	(cos (- y (/ (* z t) 3.0)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* z t) 3.0)
146.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
32.0ms	(/ a (* b 3.0))
70.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	327	2847
1	710	2399
2	2893	1887
done	5001	1822

prune717.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
2.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.7b	(cos (/ (* z t) 3.0))
29.8b	(sin (/ (* z t) 3.0))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

20.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
70.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
6.0ms	(cos (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))

series287.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
178.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
13.0ms	(cos (/ (* z t) 3.0))
23.0ms	(sin (/ (* z t) 3.0))

simplify824.0ms

Counts

76 → 76

Iterations

Useful iterations: done (822.0ms)

Iter	Nodes	Cost
0	106	1062
1	234	1029
2	990	861
done	5001	845

prune678.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.7b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
2.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.4b	(cos (* 0.3333333333333333 (* t z)))
29.8b	(sin (/ (* z t) 3.0))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

25.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
74.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
31.0ms	(cos (* 0.3333333333333333 (* t z)))
7.0ms	(sin (/ (* z t) 3.0))

series296.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
168.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
18.0ms	(cos (* 0.3333333333333333 (* t z)))
28.0ms	(sin (/ (* z t) 3.0))

simplify917.0ms

Counts

76 → 76

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	105	1062
1	237	1029
2	1001	853
done	5001	845

prune666.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 15.7b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b	(expm1 (cos (* 0.3333333333333333 (* t z))))
2.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.4b	(cos (* 0.3333333333333333 (* t z)))
29.8b	(sin (/ (* z t) 3.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`log1p-expm1-u`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
1×	`expm1-log1p` `associate-r/` `associate-r` `associate-l` `-commutative` `sin-mult` `expm1-udef`

Counts

4 → 54

Calls

4 calls:

1.0ms	(expm1 (cos (* 0.3333333333333333 (* t z))))
62.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
36.0ms	(cos (* 0.3333333333333333 (* t z)))
5.0ms	(sin (/ (* z t) 3.0))

series290.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(expm1 (cos (* 0.3333333333333333 (* t z))))
174.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
14.0ms	(cos (* 0.3333333333333333 (* t z)))
32.0ms	(sin (/ (* z t) 3.0))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	103	898
1	231	862
2	834	708
done	5000	693

prune545.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 15.7b

regimes4.3s

Accuracy

50.4% (1.9b remaining)

Error of 18.7b against oracle of 16.8b and baseline of 20.7b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	45	86
1	59	70
done	59	70

end0.0ms

sample7.6s

Algorithm

intervals

Results

2.1s	9187×	body	80	nan
1.4s	5545×	body	80	valid
1.3s	1576×	body	1280	valid
589.0ms	962×	body	640	valid
424.0ms	401×	body	2560	valid
160.0ms	428×	body	320	valid
102.0ms	221×	body	160	valid