Details

sample120.0ms

Algorithm

intervals

Results

39.0ms	71×	body	640	valid
35.0ms	96×	body	1280	valid
14.0ms	249×	body	80	valid
9.0ms	48×	body	320	valid
4.0ms	28×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	96	7
5	137	7
6	211	7
7	393	7
8	942	7
9	1761	7
10	2051	7
11	2171	7
done	2171	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

7.0ms	(cosh x)
18.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series243.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(cosh x)
140.0ms	(* (cosh x) (/ (sin y) y))
46.0ms	(/ (sin y) y)

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	130	729
1	278	697
2	879	629
3	3106	629
done	5000	617

prune263.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) (sin y))
0.1b	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-l` `associate-*l/`
3×	`flip3-+` `associate-r` `flip-+`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
64.0ms	(* (+ (exp x) (exp (- x))) (sin y))
37.0ms	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

series221.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp x) (exp (- x)))
71.0ms	(* (+ (exp x) (exp (- x))) (sin y))
123.0ms	(/ (* (+ (exp x) (exp (- x))) (sin y)) (* 2 y))

simplify1.3s

Counts

65 → 65

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	128	974
1	346	918
2	1532	744
done	5000	739

prune216.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (+ (exp x) (exp (- x)))))
0.0b	(* (exp (log (+ (exp x) (exp (- x))))) (sin y))
0.0b	(log (+ (exp x) (exp (- x))))
0.1b	(/ (* (exp (log (+ (exp x) (exp (- x))))) (sin y)) (* 2 y))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-cbrt-cube`
16×	`add-exp-log` `*-un-lft-identity`
14×	`add-sqr-sqrt`
13×	`log-prod`
10×	`add-cube-cbrt`
9×	`exp-sum`
8×	`pow1` `log-div`
7×	`associate-l`
6×	`exp-diff`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `exp-prod` `flip3-+` `div-exp` `associate-*l/` `flip-+` `add-log-exp`
3×	`associate-r` `distribute-lft-out`
2×	`log-pow` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `times-frac` `rem-log-exp` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `rem-exp-log` `associate-/l*`

Counts

4 → 81

Calls

4 calls:

23.0ms	(exp (log (+ (exp x) (exp (- x)))))
96.0ms	(* (exp (log (+ (exp x) (exp (- x))))) (sin y))
20.0ms	(log (+ (exp x) (exp (- x))))
50.0ms	(/ (* (exp (log (+ (exp x) (exp (- x))))) (sin y)) (* 2 y))

series357.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(exp (log (+ (exp x) (exp (- x)))))
88.0ms	(* (exp (log (+ (exp x) (exp (- x))))) (sin y))
102.0ms	(log (+ (exp x) (exp (- x))))
115.0ms	(/ (* (exp (log (+ (exp x) (exp (- x))))) (sin y)) (* 2 y))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	161	1483
1	374	1246
2	1513	1042
done	5001	1041

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (sin y) (+ (exp x) (exp (- x))))
0.1b	(/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x)))))
0.2b	(/ 1 (/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x))))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
36×	`add-cbrt-cube`
26×	`times-frac` `div-exp`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
17×	`prod-exp`
13×	`cbrt-undiv`
12×	`associate-*r/`
11×	`associate-/r/`
9×	`cbrt-unprod`
8×	`associate-/r*`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `add-log-exp`
5×	`rec-exp` `1-exp`
4×	`associate-r` `associate-/l*`
3×	`associate-l`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
61.0ms	(* (sin y) (+ (exp x) (exp (- x))))
24.0ms	(/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x)))))
52.0ms	(/ 1 (/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x))))))

series416.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (exp x) (exp (- x)))
102.0ms	(* (sin y) (+ (exp x) (exp (- x))))
176.0ms	(/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x)))))
108.0ms	(/ 1 (/ (* 2 y) (* (sin y) (+ (exp x) (exp (- x))))))

simplify1.4s

Counts

134 → 134

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	215	2562
1	542	2249
2	2159	1897
done	5000	1896

prune421.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	15
1	16	15
done	16	15

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.0s	2940×	body	1280	valid
1.3s	2474×	body	640	valid
723.0ms	8506×	body	80	valid
439.0ms	1218×	body	320	valid
97.0ms	631×	body	160	valid