Details

sample87.0ms

Algorithm

intervals

Results

25.0ms	62×	body	1280	valid
19.0ms	308×	body	80	valid
16.0ms	57×	body	640	valid
6.0ms	32×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	4266
6	847
5	280
4	144
3	69
2	32
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.0b	(/ (* (sin x) (sinh y)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
11.0ms	(/ (* (sin x) (sinh y)) x)

series405.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(sinh y)
132.0ms	(* (sin x) (sinh y))
182.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1600
1	290
0	116

prune416.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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)
21.0ms	(* (sin x) (/ (sinh y) x))
11.0ms	(/ (sinh y) x)

series343.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(sinh y)
142.0ms	(* (sin x) (/ (sinh y) x))
103.0ms	(/ (sinh y) x)

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1598
1	341
0	140

prune483.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin x) (+ (/ (* 1/120 (pow y 5)) x) (+ (/ 1/6 (/ x (* (* y y) y))) (/ y x))))
0.5b	(/ 1/6 (/ x (* (* y y) y)))
2.9b	(/ (* 1/120 (pow y 5)) x)
3.9b	(/ x (* (* y y) y))

rewrite842.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac` `add-exp-log`
34×	`add-cbrt-cube`
31×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
14×	`div-exp`
12×	`cbrt-undiv`
11×	`associate-/r*`
10×	`prod-exp`
8×	`cbrt-unprod`
7×	`div-inv` `associate-/l*`
6×	`pow1`
5×	`associate-r` `associate-*r/`
4×	`frac-add` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `distribute-lft-out`
2×	`flip3-+` `flip-+`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `pow-exp` `associate-/r/` `*-commutative` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

752.0ms	(* (sin x) (+ (/ (* 1/120 (pow y 5)) x) (+ (/ 1/6 (/ x (* (* y y) y))) (/ y x))))
37.0ms	(/ 1/6 (/ x (* (* y y) y)))
24.0ms	(/ (* 1/120 (pow y 5)) x)
26.0ms	(/ x (* (* y y) y))

series373.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (sin x) (+ (/ (* 1/120 (pow y 5)) x) (+ (/ 1/6 (/ x (* (* y y) y))) (/ y x))))
78.0ms	(/ 1/6 (/ x (* (* y y) y)))
50.0ms	(/ (* 1/120 (pow y 5)) x)
50.0ms	(/ x (* (* y y) y))

simplify2.8s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	4799
1	786
0	254

prune933.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))
16.4b	(cbrt (* (sin x) (/ (sinh y) x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

21.0ms	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
8.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
6.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
6.0ms	(cbrt (* (sin x) (/ (sinh y) x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

367.0ms	(* (cbrt (* (sin x) (/ (sinh y) x))) (cbrt (* (sin x) (/ (sinh y) x))))
346.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
351.0ms	(cbrt (* (sin x) (/ (sinh y) x)))
329.0ms	(cbrt (* (sin x) (/ (sinh y) x)))

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	1213
1	332
0	126

prune459.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes225.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	1811×	body	1280	valid
884.0ms	2051×	body	640	valid
828.0ms	10301×	body	80	valid
437.0ms	1147×	body	320	valid
89.0ms	591×	body	160	valid