Details

sample80.0ms

Algorithm

intervals

Results

20.0ms	210×	body	80	valid
14.0ms	33×	body	640	valid
13.0ms	21×	body	1280	valid
4.0ms	15×	body	320	valid
2.0ms	10×	body	160	valid

simplify68.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.3b	(/ (* x (/ (sin y) y)) z)

rewrite66.0ms

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:

32.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)
15.0ms	(/ (* x (/ (sin y) y)) z)

series231.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(* x (/ (sin y) y))
52.0ms	(/ (sin y) y)
114.0ms	(/ (* x (/ (sin y) y)) z)

simplify909.0ms

Counts

98 → 98

Iterations

Useful iterations: done (906.0ms)

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

prune462.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)
1.3b	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

0.0ms	(expm1 (log1p (/ (sin y) y)))
10.0ms	(* x (expm1 (log1p (/ (sin y) y))))
16.0ms	(/ (sin y) y)
19.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

series533.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(expm1 (log1p (/ (sin y) y)))
118.0ms	(* x (expm1 (log1p (/ (sin y) y))))
32.0ms	(/ (sin y) y)
156.0ms	(/ (* x (expm1 (log1p (/ (sin y) y)))) z)

simplify817.0ms

Counts

95 → 95

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	140	966
1	290	813
2	1279	727
done	5000	716

prune494.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (* (sin y) (/ 1 y))))
0.1b	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
0.3b	(* (sin y) (/ 1 y))
1.3b	(/ (* x (expm1 (log1p (* (sin y) (/ 1 y))))) z)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

0.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
12.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
22.0ms	(* (sin y) (/ 1 y))
20.0ms	(/ (* x (expm1 (log1p (* (sin y) (/ 1 y))))) z)

series519.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(expm1 (log1p (* (sin y) (/ 1 y))))
101.0ms	(* x (expm1 (log1p (* (sin y) (/ 1 y)))))
30.0ms	(* (sin y) (/ 1 y))
172.0ms	(/ (* x (expm1 (log1p (* (sin y) (/ 1 y))))) z)

simplify3.4s

Counts

104 → 104

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	164	1210
1	389	1017
2	2789	729
done	5001	716

prune550.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
238×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
60×	`associate-/r*`
23×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
6×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

3 → 299

Calls

3 calls:

10.0ms	(/ z (/ (sin y) y))
9.0ms	(/ (sin y) y)
26.0ms	(/ x (/ z (/ (sin y) y)))

series300.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(/ z (/ (sin y) y))
46.0ms	(/ (sin y) y)
134.0ms	(/ x (/ z (/ (sin y) y)))

simplify855.0ms

Counts

308 → 308

Iterations

Useful iterations: done (841.0ms)

Iter	Nodes	Cost
0	497	5179
1	1403	4900
done	5001	4643

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes517.0ms

Accuracy

50.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.1b

bsearch57.0ms

Steps

Iters	Range		Point
8	-3.944652307199019e-28	-1.7570278330957123e-32	-2.321108026742562e-29

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	20
1	13	20
done	13	20

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	989×	body	1280	valid
513.0ms	5968×	body	80	valid
392.0ms	1002×	body	640	valid
119.0ms	526×	body	320	valid
96.0ms	280×	body	160	valid