Details

sample86.0ms

Algorithm

intervals

Results

20.0ms	33×	body	640	valid
20.0ms	210×	body	80	valid
13.0ms	21×	body	1280	valid
4.0ms	15×	body	320	valid
2.0ms	10×	body	160	valid

simplify83.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.3b	(/ (* x (/ (sin y) y)) z)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

29.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
27.0ms	(/ (* x (/ (sin y) y)) z)

series234.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* x (/ (sin y) y))
38.0ms	(/ (sin y) y)
111.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.0s

Counts

92 → 92

Iterations

Useful iterations: 2 (383.0ms)

Iter	Nodes	Cost
0	139	893
1	346	861
2	1728	759
done	5001	759

prune538.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.3b	(/ (* 1 (* x (/ (sin y) y))) z)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`add-cbrt-cube`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`prod-exp`
11×	`div-exp`
7×	`cbrt-undiv` `cbrt-unprod`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-/l*`
3×	`1-exp` `associate-r/` `associate-l*` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

20.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)
32.0ms	(/ (* 1 (* x (/ (sin y) y))) z)

series187.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* x (/ (sin y) y))
36.0ms	(/ (sin y) y)
87.0ms	(/ (* 1 (* x (/ (sin y) y))) z)

simplify1.5s

Counts

97 → 97

Iterations

Useful iterations: 2 (464.0ms)

Iter	Nodes	Cost
0	160	1041
1	424	937
2	2446	807
done	5001	807

prune440.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
1.3b	(/ (* 1 (* x (* (sin y) (/ 1 y)))) z)

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
43×	`prod-exp`
37×	`add-cbrt-cube`
21×	`add-sqr-sqrt` `div-exp`
16×	`cbrt-unprod`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
10×	`pow1` `1-exp`
9×	`associate-*r/`
8×	`cbrt-undiv`
6×	`associate-l`
4×	`rec-exp` `pow-prod-down`
3×	`associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 97

Calls

3 calls:

46.0ms	(* x (* (sin y) (/ 1 y)))
18.0ms	(* (sin y) (/ 1 y))
113.0ms	(/ (* 1 (* x (* (sin y) (/ 1 y)))) z)

series227.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* x (* (sin y) (/ 1 y)))
37.0ms	(* (sin y) (/ 1 y))
110.0ms	(/ (* 1 (* x (* (sin y) (/ 1 y)))) z)

simplify4.7s

Counts

106 → 106

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	185	1339
1	536	1147
2	4225	814
done	5000	810

prune467.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
1.5b	(* (* 1 (* x (* (sin y) (/ 1 y)))) (/ 1 z))

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

248×	`add-exp-log`
185×	`prod-exp`
62×	`add-cbrt-cube`
47×	`1-exp`
46×	`div-exp`
35×	`cbrt-unprod`
27×	`associate-r`
26×	`add-sqr-sqrt`
24×	`pow1`
23×	`rec-exp`
20×	`*-un-lft-identity` `times-frac`
19×	`add-cube-cbrt`
15×	`associate-*r/`
14×	`pow-prod-down`
9×	`cbrt-undiv`
7×	`associate-l`
5×	`un-div-inv`
3×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`frac-times` `associate-*l/` `div-inv`

Counts

3 → 154

Calls

3 calls:

30.0ms	(* x (* (sin y) (/ 1 y)))
18.0ms	(* (sin y) (/ 1 y))
323.0ms	(* (* 1 (* x (* (sin y) (/ 1 y)))) (/ 1 z))

series233.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* x (* (sin y) (/ 1 y)))
46.0ms	(* (sin y) (/ 1 y))
100.0ms	(* (* 1 (* x (* (sin y) (/ 1 y)))) (/ 1 z))

simplify671.0ms

Counts

163 → 163

Iterations

Useful iterations: done (664.0ms)

Iter	Nodes	Cost
0	253	2541
1	867	1982
done	5000	1340

prune652.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes671.0ms

Accuracy

73.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.6b

bsearch125.0ms

Steps

Iters	Range		Point
9	8.322216595118501	865094.0527290168	99581.01485179519
8	-1.4138473856080866e+180	-1.686431831878526e+177	-2.613228123283658e+177

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	36
1	24	25
2	25	25
done	25	25

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	5968×	body	80	valid
510.0ms	989×	body	1280	valid
402.0ms	1002×	body	640	valid
157.0ms	526×	body	320	valid
42.0ms	280×	body	160	valid