Details

sample77.0ms

Algorithm

intervals

Results

18.0ms	195×	body	80	valid
16.0ms	29×	body	1280	valid
13.0ms	33×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	9×	body	160	valid

simplify99.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.3b	(/ (* x (/ (sin y) y)) z)

rewrite85.0ms

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:

29.0ms	(* x (/ (sin y) y))
23.0ms	(/ (sin y) y)
27.0ms	(/ (* x (/ (sin y) y)) z)

series290.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(* x (/ (sin y) y))
48.0ms	(/ (sin y) y)
136.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts

98 → 98

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	145	935
1	352	902
2	1725	800
done	5001	797

prune677.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
2.3b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

60.0ms	(* x (* (sin y) (/ 1 y)))
38.0ms	(* (sin y) (/ 1 y))
63.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series280.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(* x (* (sin y) (/ 1 y)))
47.0ms	(* (sin y) (/ 1 y))
128.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify7.7s

Counts

104 → 104

Iterations

Useful iterations: done (7.7s)

Iter	Nodes	Cost
0	164	1168
1	438	1075
2	3664	772
done	5000	743

prune637.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* 1 (/ (sin y) y)))
0.1b	(/ (sin y) y)
2.3b	(/ (* x (* 1 (/ (sin y) y))) z)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-cbrt-cube`
18×	`prod-exp`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`div-exp`
10×	`cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv`
6×	`associate-/r*`
4×	`1-exp` `associate-r/` `associate-/l`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`associate-r` `*-commutative` `associate-/l/`

Counts

3 → 84

Calls

3 calls:

46.0ms	(* x (* 1 (/ (sin y) y)))
17.0ms	(/ (sin y) y)
62.0ms	(/ (* x (* 1 (/ (sin y) y))) z)

series288.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* x (* 1 (/ (sin y) y)))
47.0ms	(/ (sin y) y)
131.0ms	(/ (* x (* 1 (/ (sin y) y))) z)

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	156	1050
1	391	876
2	2395	744
done	5000	741

prune645.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(/ x (/ (cbrt z) (/ (/ (sin y) y) (cbrt z))))

rewrite769.0ms

Algorithm

rewrite-expression-head

Rules

6627×	`times-frac`
2821×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1929×	`cbrt-prod`
497×	`associate-/r*`
173×	`div-inv`
18×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
1×	`frac-2neg` `clear-num`

Counts

4 → 2051

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
241.0ms	(/ x (/ (cbrt z) (/ (/ (sin y) y) (cbrt z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

366.0ms	(cbrt z)
364.0ms	(cbrt z)
385.0ms	(cbrt z)
291.0ms	(/ x (/ (cbrt z) (/ (/ (sin y) y) (cbrt z))))

simplify6.1s

Counts

2063 → 2063

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	3524	60357
done	5000	58235

prune19.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes719.0ms

Accuracy

86.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch77.0ms

Steps

Iters	Range		Point
6	59347805.45921656	453261925.93168354	60113221.32860909
1	-3.092066136895551e-52	-2.9362186666776023e-52	-2.9751805342320895e-52

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	38
1	25	27
2	26	27
done	26	27

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	993×	body	640	valid
696.0ms	1002×	body	1280	valid
638.0ms	5918×	body	80	valid
153.0ms	518×	body	320	valid
126.0ms	306×	body	160	valid