Details

sample134.0ms

Algorithm

intervals

Results

46.0ms	92×	body	1280	valid
25.0ms	81×	body	640	valid
16.0ms	232×	body	80	valid
12.0ms	12×	body	160	valid
8.0ms	39×	body	320	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite40.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

10.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
24.0ms	(* (cos x) (/ (sinh y) y))

series307.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/ (sinh y) y)
85.0ms	(sinh y)
131.0ms	(* (cos x) (/ (sinh y) y))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	144	762
1	352	718
2	1726	654
done	5000	653

prune338.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (/ (sinh y) y)) (cos x))
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac` `associate-r`
17×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 92

Calls

4 calls:

32.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
1.0ms	(sinh y)
1.0ms	(sinh y)
70.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
88.0ms	(sinh y)
88.0ms	(sinh y)
206.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

simplify2.5s

Counts

104 → 104

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	315	1717
1	873	1605
2	4889	1485
done	5000	1481

prune526.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
60×	`add-sqr-sqrt`
42×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`unswap-sqr`
6×	`add-exp-log` `pow1/3`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`sinh-def`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 110

Calls

4 calls:

2.0ms	(sinh y)
2.0ms	(sinh y)
2.0ms	(sinh y)
43.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(sinh y)
98.0ms	(sinh y)
79.0ms	(sinh y)
338.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify1.2s

Counts

122 → 122

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	184	1617
1	362	1505
2	1442	1449
done	5000	1415

prune653.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(cbrt (pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1)))
0.1b	(pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod`
38×	`unpow-prod-down`
32×	`sqrt-prod`
26×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
6×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`unpow-prod-up` `sinh-def` `sqrt-pow1` `pow1/3` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow1/2` `pow-exp` `sqrt-pow2` `distribute-lft-out`

Counts

4 → 95

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
20.0ms	(cbrt (pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1)))
17.0ms	(pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1))

series852.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sinh y)
66.0ms	(sinh y)
382.0ms	(cbrt (pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1)))
332.0ms	(pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1))

simplify885.0ms

Counts

107 → 107

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	259	1713
1	622	1369
2	1832	1286
done	5001	1212

prune620.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.7s	2955×	body	1280	valid
1.2s	2487×	body	640	valid
594.0ms	8687×	body	80	valid
341.0ms	1201×	body	320	valid
76.0ms	606×	body	160	valid