Details

sample56.0ms

Algorithm

intervals

Results

13.0ms	189×	body	80	valid
12.0ms	30×	body	1280	valid
11.0ms	40×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify29.0ms

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(/ (/ (sin y) y) z)
2.0b	(* x (/ (/ (sin y) y) z))

rewrite78.0ms

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×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

7.0ms	(/ (sin y) y)
20.0ms	(/ (/ (sin y) y) z)
45.0ms	(* x (/ (/ (sin y) y) z))

series185.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (sin y) y)
40.0ms	(/ (/ (sin y) y) z)
103.0ms	(* x (/ (/ (sin y) y) z))

simplify1.3s

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
2	3308
1	666
0	248

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- (sin y)) y)
0.1b	(/ (/ (- (sin y)) y) (- z))
2.0b	(* x (/ (/ (- (sin y)) y) (- z)))

rewrite276.0ms

Algorithm

rewrite-expression-head

Rules

1343×	`times-frac`
664×	`add-sqr-sqrt`
655×	`*-un-lft-identity` `add-cube-cbrt`
408×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
344×	`associate-r`
136×	`neg-mul-1`
44×	`associate-/l*`
24×	`div-inv`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
5×	`pow1` `distribute-frac-neg`
3×	`div-sub` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`neg-sub0` `clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `distribute-rgt-neg-out` `associate-/l/`

Counts

3 → 825

Calls

3 calls:

10.0ms	(/ (- (sin y)) y)
31.0ms	(/ (/ (- (sin y)) y) (- z))
146.0ms	(* x (/ (/ (- (sin y)) y) (- z)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (- (sin y)) y)
50.0ms	(/ (/ (- (sin y)) y) (- z))
88.0ms	(* x (/ (/ (- (sin y)) y) (- z)))

simplify2.3s

Counts

834 → 834

Iterations

Iter	Nodes
done	5001
1	2877
0	976

prune4.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.3b	(* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (/ x (* (cbrt z) (cbrt z))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
15×	`add-cbrt-cube`
11×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `pow1` `*-un-lft-identity` `add-cube-cbrt`
8×	`cbrt-div`
7×	`associate-r`
5×	`frac-times` `associate-*l/`
4×	`cbrt-undiv` `times-frac` `div-exp` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
2×	`unswap-sqr`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
70.0ms	(* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (/ x (* (cbrt z) (cbrt z))))

series981.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt z)
253.0ms	(cbrt z)
289.0ms	(cbrt z)
201.0ms	(* (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))) (/ x (* (cbrt z) (cbrt z))))

simplify927.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2017
1	390
0	133

prune608.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.4b	(/ (* x (/ (sin y) y)) z)

rewrite48.0ms

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:

21.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series251.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* x (/ (sin y) y))
54.0ms	(/ (sin y) y)
113.0ms	(/ (* x (/ (sin y) y)) z)

simplify952.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1724
1	346
0	139

prune492.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes361.0ms

Accuracy

49.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch86.0ms

Steps

Iters	Range		Point
8	-3164552054182.1987	-3322970397.4786234	-7744513270.893534

simplify9.0ms

Iterations

Iter	Nodes
done	28
4	28
3	25
2	21
1	19
0	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

658.0ms	1028×	body	1280	valid
540.0ms	5812×	body	80	valid
484.0ms	293×	body	160	valid
413.0ms	1053×	body	640	valid
226.0ms	573×	body	320	valid