Details

sample80.0ms

Algorithm

intervals

Results

24.0ms	38×	body	1280	valid
17.0ms	178×	body	80	valid
14.0ms	31×	body	640	valid
7.0ms	21×	body	320	valid
2.0ms	8×	body	160	valid

simplify78.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
3.1b	(/ (* x (/ (sin y) y)) z)

rewrite46.0ms

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` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
24.0ms	(/ (* x (/ (sin y) y)) z)

series242.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(* x (/ (sin y) y))
38.0ms	(/ (sin y) y)
111.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1184
1	341
0	142

prune385.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
3.1b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`times-frac` `associate-r` `add-cube-cbrt`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `associate-/r*` `1-exp` `un-div-inv` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

3 → 92

Calls

3 calls:

47.0ms	(* x (* (sin y) (/ 1 y)))
26.0ms	(* (sin y) (/ 1 y))
53.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series238.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* x (* (sin y) (/ 1 y)))
47.0ms	(* (sin y) (/ 1 y))
103.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5011
2	1520
1	425
0	161

prune370.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))
3.3b	(* (* x (* (sin y) (/ 1 y))) (/ 1 z))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

121×	`add-exp-log`
73×	`prod-exp`
49×	`add-cbrt-cube`
27×	`associate-r`
26×	`add-sqr-sqrt`
25×	`cbrt-unprod`
24×	`div-exp`
20×	`*-un-lft-identity` `times-frac`
19×	`pow1` `add-cube-cbrt`
12×	`rec-exp` `1-exp`
11×	`associate-*r/`
10×	`pow-prod-down`
8×	`cbrt-undiv`
7×	`associate-l`
5×	`un-div-inv`
3×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`frac-times` `associate-*l/` `div-inv`

Counts

3 → 126

Calls

3 calls:

51.0ms	(* x (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
146.0ms	(* (* x (* (sin y) (/ 1 y))) (/ 1 z))

series242.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* x (* (sin y) (/ 1 y)))
49.0ms	(* (sin y) (/ 1 y))
112.0ms	(* (* x (* (sin y) (/ 1 y))) (/ 1 z))

simplify2.2s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	1828
1	538
0	204

prune406.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(/ (* (* x (* (/ (cbrt (sin y)) (cbrt y)) (/ (cbrt (sin y)) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
46×	`add-cbrt-cube`
30×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `add-sqr-sqrt` `-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`associate-/l/`
5×	`frac-times` `associate-*l/`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`associate-/r*` `times-frac` `pow1/3`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
106.0ms	(/ (* (* x (* (/ (cbrt (sin y)) (cbrt y)) (/ (cbrt (sin y)) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

series991.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt y)
275.0ms	(cbrt y)
346.0ms	(cbrt y)
149.0ms	(/ (* (* x (* (/ (cbrt (sin y)) (cbrt y)) (/ (cbrt (sin y)) (cbrt y)))) (/ (cbrt (sin y)) (cbrt y))) z)

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1994
1	463
0	161

prune394.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes290.0ms

Accuracy

57.1% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.6b

bsearch181.0ms

Steps

Iters	Range		Point
9	8.32217611261001e-129	5.175863143786458e-123	5.118933034108623e-123
9	-1.1749452941306976e+110	-6.911610598770791e+101	-8.230194912459417e+102

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	5923×	body	80	valid
525.0ms	962×	body	1280	valid
447.0ms	1005×	body	640	valid
132.0ms	554×	body	320	valid
82.0ms	291×	body	160	valid