Details

sample171.0ms

Algorithm

intervals

Results

74.0ms	63×	body	2560	valid
45.0ms	74×	body	1280	valid
13.0ms	31×	body	640	valid
6.0ms	62×	body	80	valid
4.0ms	17×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	8×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	23	27
1	44	25
2	101	25
3	232	25
4	436	25
5	728	25
6	1012	25
7	1194	25
8	1292	25
9	1475	25
10	1511	25
done	1511	25

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize24.0ms

Local error

Found 4 expressions with local error:

2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
33.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite186.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

82.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
83.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
8.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
8.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
50.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	146	980
1	381	886
2	1608	738
done	5000	730

prune507.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 41.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* a 2.0) 1.0) b)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
2.9b	(* (* (+ (* a 2.0) 1.0) b) t)
38.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+`
1×	`unswap-sqr`

Counts

4 → 73

Calls

4 calls:

34.0ms	(* (+ (* a 2.0) 1.0) b)
44.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
51.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series274.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ (* a 2.0) 1.0) b)
98.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
59.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
51.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify3.2s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	135	1290
1	328	1092
2	1076	870
3	3702	862
done	5002	862

prune535.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 39.5b

localize5.0ms

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

prune144.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 39.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)
0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
2.0b	(* (+ (* a 2.0) 1.0) (* t b))
38.1b	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `associate-l` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

34.0ms	(/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)
26.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
43.0ms	(* (+ (* a 2.0) 1.0) (* t b))
9.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

series318.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)
103.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0)))
79.0ms	(* (+ (* a 2.0) 1.0) (* t b))
73.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* t b)) 16.0))

simplify989.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	155	1494
1	415	1282
2	1552	1010
done	5000	1010

prune439.0ms

Pruning

39 alts after pruning (37 fresh and 2 done)

Merged error: 39.3b

regimes2.8s

Accuracy

0% (4.5b remaining)

Error of 44.3b against oracle of 39.8b and baseline of 44.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	7	11
1	10	5
2	11	1
done	11	1

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.5s	1809×	body	2560	valid
1.7s	2240×	body	1280	valid
587.0ms	1190×	body	640	valid
209.0ms	595×	body	320	valid
208.0ms	1878×	body	80	valid
136.0ms	43×	body	5120	valid
63.0ms	245×	body	160	valid