Details

sample151.0ms

Algorithm

intervals

Results

51.0ms	103×	body	1280	valid
42.0ms	84×	body	640	valid
19.0ms	274×	body	80	valid
9.0ms	40×	body	320	valid
4.0ms	22×	body	160	valid

simplify844.0ms

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	179	7
6	751	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 61

Calls

2 calls:

23.0ms	(* (cosh x) (/ (sin y) y))
9.0ms	(/ (sin y) y)

series119.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (cosh x) (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify864.0ms

Counts

67 → 67

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	120	663
1	275	632
2	1274	574
done	5000	574

prune288.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ 1 (/ y (sin y))))
0.1b	(/ y (sin y))
0.2b	(/ 1 (/ y (sin y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

37.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
16.0ms	(/ y (sin y))
23.0ms	(/ 1 (/ y (sin y)))

series580.0ms

Counts

3 → 9

Calls

3 calls:

509.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
30.0ms	(/ y (sin y))
40.0ms	(/ 1 (/ y (sin y)))

simplify511.0ms

Counts

187 → 187

Iterations

Useful iterations: done (504.0ms)

Iter	Nodes	Cost
0	259	2334
1	690	1868
done	5000	1712

prune496.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac`
426×	`add-sqr-sqrt`
397×	`*-un-lft-identity`
391×	`add-cube-cbrt`
174×	`associate-r`
105×	`add-exp-log`
66×	`div-exp`
57×	`div-inv`
35×	`add-cbrt-cube`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
16×	`associate-/r` `associate-/l`
10×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
3×	`associate-l` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/` `inv-pow`

Counts

3 → 479

Calls

3 calls:

99.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
7.0ms	(/ 1 (sin y))
31.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(* (cosh x) (/ (/ 1 y) (/ 1 (sin y))))
20.0ms	(/ 1 (sin y))
44.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify1.6s

Counts

488 → 488

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	624	8547
1	2217	6482
done	5000	5657

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cbrt-cube`
14×	`associate-l`
13×	`prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`associate-r` `cbrt-unprod`
5×	`associate-*l/` `add-log-exp`
4×	`div-exp` `pow-prod-down`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-r/` `-commutative` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log` `div-inv`

Counts

3 → 77

Calls

3 calls:

16.0ms	(+ (exp x) (exp (- x)))
118.0ms	(* (* (/ 1 y) (sin y)) (+ (exp x) (exp (- x))))
42.0ms	(* (/ 1 y) (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (* (/ 1 y) (sin y)) (+ (exp x) (exp (- x))))
32.0ms	(* (/ 1 y) (sin y))

simplify2.6s

Counts

86 → 86

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	158	1113
1	460	1048
2	3367	786
done	5001	776

prune400.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes201.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.0s	3051×	body	1280	valid
934.0ms	2358×	body	640	valid
859.0ms	8565×	body	80	valid
298.0ms	1177×	body	320	valid
105.0ms	661×	body	160	valid