Details

sample74.0ms

Algorithm

intervals

Results

20.0ms	38×	body	1280	valid
15.0ms	183×	body	80	valid
14.0ms	36×	body	640	valid
7.0ms	26×	body	320	valid
1.0ms	7×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* x (/ (sin y) y))
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

12.0ms	(/ (sin y) y)
22.0ms	(* x (/ (sin y) y))
17.0ms	(/ (* x (/ (sin y) y)) z)

series225.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin y) y)
73.0ms	(* x (/ (sin y) y))
113.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1722
1	346
0	139

prune541.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

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×	`rec-exp` `associate-/r` `1-exp` `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 → 105

Calls

3 calls:

12.0ms	(/ (sin y) y)
22.0ms	(* x (/ (sin y) y))
41.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series229.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (sin y) y)
71.0ms	(* x (/ (sin y) y))
118.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	3004
1	503
0	179

prune528.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))
3.1b	(/ (/ x (/ y (sin y))) z)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
50×	`associate-/l*`
23×	`div-inv`
19×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/l/`

Counts

3 → 293

Calls

3 calls:

10.0ms	(/ x (/ y (sin y)))
4.0ms	(/ y (sin y))
19.0ms	(/ (/ x (/ y (sin y))) z)

series268.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ x (/ y (sin y)))
55.0ms	(/ y (sin y))
114.0ms	(/ (/ x (/ y (sin y))) z)

simplify1.1s

Counts

302 → 302

Iterations

Iter	Nodes
done	5001
1	1299
0	490

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ z (/ (sin y) y))
4.1b	(/ x (/ z (/ (sin y) y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `clear-num` `frac-2neg` `add-log-exp`

Counts

3 → 293

Calls

3 calls:

9.0ms	(/ (sin y) y)
8.0ms	(/ z (/ (sin y) y))
14.0ms	(/ x (/ z (/ (sin y) y)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (sin y) y)
97.0ms	(/ z (/ (sin y) y))
119.0ms	(/ x (/ z (/ (sin y) y)))

simplify1.2s

Counts

302 → 302

Iterations

Iter	Nodes
done	5001
1	1397
0	491

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes471.0ms

Accuracy

91.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.7b

bsearch99.0ms

Steps

Iters	Range		Point
8	595377.2589799166	3378812226.2511864	1119859951.5625312
5	-4.17042468654624e+33	-1.1847826194493546e+33	-1.396587271183384e+33

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	17

end0.0ms

sample2.1s

Algorithm

intervals

Results

560.0ms	1046×	body	640	valid
543.0ms	5875×	body	80	valid
502.0ms	986×	body	1280	valid
145.0ms	537×	body	320	valid
95.0ms	306×	body	160	valid