Details

sample101.0ms

Algorithm

intervals

Results

20.0ms	33×	body	1280	valid
18.0ms	188×	body	80	valid
13.0ms	31×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	8×	body	160	valid

simplify90.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.7b	(/ (* x (/ (sin y) y)) z)

rewrite90.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

30.0ms	(* x (/ (sin y) y))
17.0ms	(/ (sin y) y)
36.0ms	(/ (* x (/ (sin y) y)) z)

series272.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)
137.0ms	(/ (* x (/ (sin y) y)) z)

simplify4.0s

Counts

98 → 98

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	145	935
1	323	898
2	1027	782
3	4743	779
done	5002	779

prune351.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (/ y (sin y)))
0.1b	(/ y (sin y))
2.6b	(/ x (* z (/ y (sin y))))

rewrite56.0ms

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-/l*`
5×	`pow1`
4×	`prod-exp` `associate-/r*` `cbrt-unprod`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

3 → 89

Calls

3 calls:

31.0ms	(* z (/ y (sin y)))
7.0ms	(/ y (sin y))
13.0ms	(/ x (* z (/ y (sin y))))

series283.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(* z (/ y (sin y)))
46.0ms	(/ y (sin y))
123.0ms	(/ x (* z (/ y (sin y))))

simplify3.7s

Counts

98 → 98

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	145	935
1	315	901
2	969	784
3	4376	781
done	5001	781

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(* (/ 1 z) (* x (/ (sin y) y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
22×	`prod-exp`
16×	`associate-l`
14×	`associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-*r/` `pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 110

Calls

3 calls:

16.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
79.0ms	(* (/ 1 z) (* x (/ (sin y) y)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* x (/ (sin y) y))
38.0ms	(/ (sin y) y)
120.0ms	(* (/ 1 z) (* x (/ (sin y) y)))

simplify2.6s

Counts

119 → 119

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	177	1288
1	403	1137
2	1301	949
done	5000	947

prune312.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ x z) (sin y))
9.4b	(/ (* (/ x z) (sin y)) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/r*`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `associate-/l`

Counts

2 → 60

Calls

2 calls:

20.0ms	(* (/ x z) (sin y))
18.0ms	(/ (* (/ x z) (sin y)) y)

series250.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(* (/ x z) (sin y))
132.0ms	(/ (* (/ x z) (sin y)) y)

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	124	665
1	292	644
2	1102	548
done	5000	546

prune241.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes241.0ms

Accuracy

93.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch136.0ms

Steps

Iters	Range		Point
8	3.464226407561616e+19	2.0544205719112106e+24	2.7675688439606365e+20
11	-9.379172700832318e+21	-0.013787396536050121	-6.724218585312992

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	18	36
1	25	25
done	25	25

end0.0ms

sample2.6s

Algorithm

intervals

Results

804.0ms	968×	body	640	valid
565.0ms	1029×	body	1280	valid
527.0ms	5849×	body	80	valid
270.0ms	551×	body	320	valid
41.0ms	270×	body	160	valid