Details

sample143.0ms

Algorithm

intervals

Results

57.0ms	38×	body	1280	valid
29.0ms	178×	body	80	valid
23.0ms	31×	body	640	valid
11.0ms	21×	body	320	valid
3.0ms	8×	body	160	valid

simplify65.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize28.0ms

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)

rewrite61.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

20.0ms	(* x (/ (sin y) y))
15.0ms	(/ (sin y) y)
23.0ms	(/ (* x (/ (sin y) y)) z)

series215.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
116.0ms	(/ (* x (/ (sin y) y)) z)

simplify2.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1190
1	347
0	148

prune513.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite138.0ms

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×	`expm1-log1p-u` `rec-exp` `associate-/r*` `1-exp` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

3 → 98

Calls

3 calls:

49.0ms	(* x (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))
60.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series268.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(* x (* (sin y) (/ 1 y)))
57.0ms	(* (sin y) (/ 1 y))
127.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1804
1	423
0	167

prune434.0ms

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))

rewrite180.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `associate-*l/` `div-inv`

Counts

3 → 132

Calls

3 calls:

33.0ms	(* x (* (sin y) (/ 1 y)))
13.0ms	(* (sin y) (/ 1 y))
130.0ms	(* (* x (* (sin y) (/ 1 y))) (/ 1 z))

series243.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(* x (* (sin y) (/ 1 y)))
50.0ms	(* (sin y) (/ 1 y))
108.0ms	(* (* x (* (sin y) (/ 1 y))) (/ 1 z))

simplify2.0s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1854
1	571
0	210

prune472.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
46×	`add-cbrt-cube`
30×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
11×	`associate-*l/`
9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-/l/`
5×	`frac-times`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `pow1/3` `associate-r/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
197.0ms	(/ (* (* (* (/ (cbrt (sin y)) (cbrt y)) (/ (cbrt (sin y)) (cbrt y))) x) (/ (cbrt (sin y)) (cbrt y))) z)

series931.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt y)
279.0ms	(cbrt y)
258.0ms	(cbrt y)
142.0ms	(/ (* (* (* (/ (cbrt (sin y)) (cbrt y)) (/ (cbrt (sin y)) (cbrt y))) x) (/ (cbrt (sin y)) (cbrt y))) z)

simplify2.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5004
2	1992
1	465
0	165

prune497.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes319.0ms

Accuracy

57.1% (1.1b remaining)

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

bsearch208.0ms

Steps

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

simplify7.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	962×	body	1280	valid
1.0s	5923×	body	80	valid
678.0ms	1005×	body	640	valid
291.0ms	554×	body	320	valid
80.0ms	291×	body	160	valid