Details

sample48.0ms

Algorithm

intervals

Results

18.0ms	169×	body	80	valid
9.0ms	30×	body	1280	valid
5.0ms	25×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	12	6
3	16	6
4	17	6
done	17	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

20.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)

series100.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* x (/ (sin y) y))
36.0ms	(/ (sin y) y)

simplify535.0ms

Counts

69 → 69

Iterations

Useful iterations: done (534.0ms)

Iter	Nodes	Cost
0	102	595
1	237	572
2	996	520
done	5000	518

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin y) x)
7.4b	(* (* (sin y) x) (/ 1 y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`associate-r` `add-cbrt-cube`
13×	`add-sqr-sqrt` `prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `times-frac`
7×	`cbrt-unprod`
4×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

2 → 60

Calls

2 calls:

18.0ms	(* (sin y) x)
31.0ms	(* (* (sin y) x) (/ 1 y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.3s

Counts

66 → 66

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	110	619
1	302	554
2	2002	427
done	5001	426

prune323.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

8.5b	(* (sin y) (/ x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

30.0ms

(* (sin y) (/ x y))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* (sin y) (/ x y))

simplify782.0ms

Counts

37 → 37

Iterations

Useful iterations: done (780.0ms)

Iter	Nodes	Cost
0	78	337
1	198	324
2	1135	288
done	5000	283

prune150.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y))))
0.1b	(/ (sin y) y)
0.1b	(/ (sin y) y)
0.1b	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
53×	`add-cube-cbrt` `*-un-lft-identity`
24×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
15×	`add-exp-log` `add-cbrt-cube`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `sqrt-div`
6×	`pow-prod-down` `associate-/r` `div-inv` `associate-/l`
5×	`associate-*r/` `pow-prod-up`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`cbrt-undiv` `frac-times` `frac-2neg` `div-exp` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 171

Calls

4 calls:

67.0ms	(* x (* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y))))
19.0ms	(/ (sin y) y)
9.0ms	(/ (sin y) y)
37.0ms	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y))))
36.0ms	(/ (sin y) y)
38.0ms	(/ (sin y) y)
38.0ms	(* (sqrt (/ (sin y) y)) (sqrt (/ (sin y) y)))

simplify1.5s

Counts

183 → 183

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	226	2484
1	491	1707
2	3002	1582
done	5001	1562

prune684.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	6	6
done	6	6

end0.0ms

sample2.0s

Algorithm

intervals

Results

644.0ms	1037×	body	640	valid
516.0ms	5186×	body	80	valid
347.0ms	926×	body	1280	valid
148.0ms	573×	body	320	valid
36.0ms	278×	body	160	valid