Details

sample73.0ms

Algorithm

intervals

Results

18.0ms	189×	body	80	valid
16.0ms	30×	body	1280	valid
15.0ms	40×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

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))

rewrite79.0ms

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:

13.0ms	(/ (sin y) y)
22.0ms	(/ (/ (sin y) y) z)
30.0ms	(* x (/ (/ (sin y) y) z))

series218.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin y) y)
57.0ms	(/ (/ (sin y) y) z)
112.0ms	(* x (/ (/ (sin y) y) z))

simplify982.0ms

Counts

177 → 177

Iterations

Iter	Nodes
done	5000
2	3213
1	662
0	254

prune971.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.2b	(* (/ (sin y) y) (/ 1 z))
2.0b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 122

Calls

3 calls:

6.0ms	(/ (sin y) y)
28.0ms	(* (/ (sin y) y) (/ 1 z))
33.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (sin y) y)
51.0ms	(* (/ (sin y) y) (/ 1 z))
88.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify1.8s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	3396
1	568
0	199

prune685.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (sin y) (/ 1 y)) z)
0.2b	(* (sin y) (/ 1 y))
2.0b	(* x (/ (* (sin y) (/ 1 y)) z))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 100

Calls

3 calls:

19.0ms	(/ (* (sin y) (/ 1 y)) z)
29.0ms	(* (sin y) (/ 1 y))
30.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

series171.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (* (sin y) (/ 1 y)) z)
34.0ms	(* (sin y) (/ 1 y))
86.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

simplify4.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	3958
1	471
0	175

prune481.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (/ (sin y) y) x)
0.1b	(/ (sin y) y)
3.4b	(/ (* (/ (sin y) y) x) 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-l`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

14.0ms	(* (/ (sin y) y) x)
10.0ms	(/ (sin y) y)
21.0ms	(/ (* (/ (sin y) y) x) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (/ (sin y) y) x)
29.0ms	(/ (sin y) y)
71.0ms	(/ (* (/ (sin y) y) x) z)

simplify946.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
2	2053
1	351
0	146

prune535.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes244.0ms

Accuracy

46.7% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.1b

bsearch55.0ms

Steps

Iters	Range		Point
9	-1.8890988058004763e+65	-1.7743200944635532e+60	-1.8005107435194844e+60

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

779.0ms	5812×	body	80	valid
597.0ms	1028×	body	1280	valid
395.0ms	1053×	body	640	valid
114.0ms	573×	body	320	valid
38.0ms	293×	body	160	valid