Details

sample85.0ms

Algorithm

intervals

Results

18.0ms	30×	body	1280	valid
17.0ms	186×	body	80	valid
17.0ms	42×	body	640	valid
6.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify63.0ms

Counts

1 → 1

Iterations

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
3.0b	(* x (/ (/ (sin y) y) z))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 168

Calls

3 calls:

27.0ms	(/ (/ (sin y) y) z)
14.0ms	(/ (sin y) y)
33.0ms	(* x (/ (/ (sin y) y) z))

series161.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (/ (sin y) y) z)
33.0ms	(/ (sin y) y)
89.0ms	(* x (/ (/ (sin y) y) z))

simplify1.2s

Counts

177 → 177

Iterations

Iter	Nodes
done	5002
2	3219
1	662
0	254

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ x (cbrt z)) (/ (cbrt (/ (sin y) y)) (/ (cbrt z) (cbrt (/ (sin y) y)))))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

5143×	`times-frac`
3474×	`cbrt-prod`
2457×	`add-sqr-sqrt`
2125×	`*-un-lft-identity` `add-cube-cbrt`
1621×	`associate-r`
215×	`div-inv`
66×	`unswap-sqr`
25×	`add-exp-log`
22×	`associate-l`
17×	`associate-/r/`
16×	`cbrt-div`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 1774

Calls

4 calls:

2.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.2s	(* (/ x (cbrt z)) (/ (cbrt (/ (sin y) y)) (/ (cbrt z) (cbrt (/ (sin y) y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt z)
288.0ms	(cbrt z)
281.0ms	(cbrt z)
211.0ms	(* (/ x (cbrt z)) (/ (cbrt (/ (sin y) y)) (/ (cbrt z) (cbrt (/ (sin y) y)))))

simplify6.7s

Counts

1786 → 1786

Iterations

Iter	Nodes
done	5000
0	3572

prune15.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.2b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

17.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
28.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series165.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* x (/ (sin y) y))
34.0ms	(/ (sin y) y)
74.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	3013
1	510
0	185

prune628.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
3.2b	(* (/ x z) (/ (sin y) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 81

Calls

2 calls:

9.0ms	(/ (sin y) y)
27.0ms	(* (/ x z) (/ (sin y) y))

series170.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (sin y) y)
123.0ms	(* (/ x z) (/ (sin y) y))

simplify927.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2172
1	392
0	144

prune480.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes435.0ms

Accuracy

65.9% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch92.0ms

Steps

Iters	Range		Point
6	2.016975684675833e+34	2.8774859621899767e+35	1.3102834121336243e+35
8	-7.907492672744753e+148	-2.0846267118747092e+144	-2.594701495792515e+144

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample2.3s

Algorithm

intervals

Results

976.0ms	5892×	body	80	valid
438.0ms	994×	body	1280	valid
266.0ms	986×	body	640	valid
115.0ms	558×	body	320	valid
73.0ms	311×	body	160	valid