Details

sample130.0ms

Algorithm

intervals

Results

48.0ms	86×	body	1280	valid
23.0ms	71×	body	640	valid
23.0ms	302×	body	80	valid
9.0ms	35×	body	320	valid
4.0ms	21×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
7	1809
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.2b	(* (sin x) (/ (sinh y) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`associate-/r` `associate-l` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
9.0ms	(/ (sinh y) y)
24.0ms	(* (sin x) (/ (sinh y) y))

series367.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(sinh y)
117.0ms	(/ (sinh y) y)
164.0ms	(* (sin x) (/ (sinh y) y))

simplify2.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5013
3	3664
2	1042
1	342
0	140

prune404.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (+ (+ 1 (* (* (* y y) (* y y)) 1/120)) (* (* y y) 1/6)))
0.1b	(* (* (* y y) (* y y)) 1/120)
0.1b	(* (* y y) (* y y))
0.2b	(* (* y y) 1/6)

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

140×	`pow1`
41×	`add-cbrt-cube` `add-exp-log`
40×	`pow-prod-down`
36×	`pow-prod-up`
25×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
12×	`add-sqr-sqrt`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `swap-sqr` `flip-+`

Counts

4 → 132

Calls

4 calls:

53.0ms	(* (sin x) (+ (+ 1 (* (* (* y y) (* y y)) 1/120)) (* (* y y) 1/6)))
102.0ms	(* (* (* y y) (* y y)) 1/120)
41.0ms	(* (* y y) (* y y))
27.0ms	(* (* y y) 1/6)

series280.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (sin x) (+ (+ 1 (* (* (* y y) (* y y)) 1/120)) (* (* y y) 1/6)))
43.0ms	(* (* (* y y) (* y y)) 1/120)
43.0ms	(* (* y y) (* y y))
29.0ms	(* (* y y) 1/6)

simplify1.8s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1632
1	489
0	155

prune426.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/120 (* y y)) 1/6)
0.1b	(* (sin x) (* (* y y) (+ (* 1/120 (* y y)) 1/6)))
0.1b	(* 1/120 (* y y))
0.2b	(* (* y y) (+ (* 1/120 (* y y)) 1/6))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

4 → 80

Calls

4 calls:

13.0ms	(+ (* 1/120 (* y y)) 1/6)
78.0ms	(* (sin x) (* (* y y) (+ (* 1/120 (* y y)) 1/6)))
13.0ms	(* 1/120 (* y y))
80.0ms	(* (* y y) (+ (* 1/120 (* y y)) 1/6))

series463.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* 1/120 (* y y)) 1/6)
234.0ms	(* (sin x) (* (* y y) (+ (* 1/120 (* y y)) 1/6)))
28.0ms	(* 1/120 (* y y))
107.0ms	(* (* y y) (+ (* 1/120 (* y y)) 1/6))

simplify2.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5024
2	1835
1	432
0	134

prune392.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y y) (* y y))
0.2b	(* (* y y) 1/6)
1.3b	(exp (log (* (* y y) (* y y))))
46.5b	(log (* (* y y) (* y y)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

344×	`pow1`
108×	`pow-prod-up`
88×	`log-pow`
72×	`pow-prod-down`
66×	`pow-sqr`
54×	`pow-plus`
47×	`exp-prod`
39×	`pow2`
34×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`prod-exp`
11×	`cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`rem-log-exp`
4×	`associate-r` `add-log-exp`
2×	`log-prod` `associate-l` `*-commutative` `unswap-sqr`
1×	`swap-sqr` `exp-sum` `rem-exp-log`

Counts

4 → 195

Calls

4 calls:

46.0ms	(* (* y y) (* y y))
28.0ms	(* (* y y) 1/6)
112.0ms	(exp (log (* (* y y) (* y y))))
47.0ms	(log (* (* y y) (* y y)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* y y) (* y y))
34.0ms	(* (* y y) 1/6)
51.0ms	(exp (log (* (* y y) (* y y))))
169.0ms	(log (* (* y y) (* y y)))

simplify1.8s

Counts

207 → 207

Iterations

Iter	Nodes
done	5000
3	2194
2	734
1	290
0	112

prune480.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes127.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	3028×	body	1280	valid
819.0ms	2479×	body	640	valid
719.0ms	8608×	body	80	valid
703.0ms	1295×	body	320	valid
82.0ms	593×	body	160	valid