Details

sample326.0ms

Algorithm

intervals

Results

128.0ms	71×	body	1280	valid
94.0ms	50×	body	2560	valid
38.0ms	49×	body	640	valid
14.0ms	16×	body	320	valid
11.0ms	62×	body	80	valid
3.0ms	8×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.8b

localize41.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.6b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite128.0ms

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:

52.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
57.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
9.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
9.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series202.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
49.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
44.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify1.2s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

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

prune651.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
0.2b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `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*` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

9.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
51.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
78.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
10.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series323.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
91.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
74.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
51.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify1.5s

Counts

90 → 90

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	151	1350
1	388	1226
2	1692	1016
done	5000	1016

prune628.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 39.9b

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

prune210.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 39.9b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
2.9b	(* (* z t) (fma 2.0 y 1.0))
33.0b	(cos (/ (/ (* (* z t) (fma 2.0 y 1.0)) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt 16.0)
2.0ms	(cbrt 16.0)
30.0ms	(* (* z t) (fma 2.0 y 1.0))
18.0ms	(cos (/ (/ (* (* z t) (fma 2.0 y 1.0)) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

series196.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
65.0ms	(* (* z t) (fma 2.0 y 1.0))
131.0ms	(cos (/ (/ (* (* z t) (fma 2.0 y 1.0)) (* (cbrt 16.0) (cbrt 16.0))) (cbrt 16.0)))

simplify2.6s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	91	698
1	189	683
2	683	531
3	2918	489
done	5001	489

prune394.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 39.5b

regimes2.8s

Accuracy

0% (4.9b remaining)

Error of 43.9b against oracle of 39.0b and baseline of 43.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	8	3
2	9	1
done	9	1

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.0s	1839×	body	2560	valid
3.1s	2226×	body	1280	valid
1.0s	1153×	body	640	valid
366.0ms	528×	body	320	valid
300.0ms	1964×	body	80	valid
113.0ms	37×	body	5120	valid
69.0ms	253×	body	160	valid