Details

sample101.0ms

Algorithm

intervals

Results

37.0ms	92×	body	1280	valid
20.0ms	81×	body	640	valid
12.0ms	232×	body	80	valid
7.0ms	39×	body	320	valid
1.0ms	12×	body	160	valid

simplify2.2s

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	137	7
5	262	7
6	805	7
7	4114	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

9.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
17.0ms	(* (cos x) (/ (sinh y) y))

series284.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(/ (sinh y) y)
65.0ms	(sinh y)
106.0ms	(* (cos x) (/ (sinh y) y))

simplify1.1s

Counts

77 → 77

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	138	730
1	337	691
2	1716	621
done	5000	621

prune307.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite84.0ms

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

Counts

4 → 84

Calls

4 calls:

23.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
1.0ms	(sinh y)
1.0ms	(sinh y)
54.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (sqrt (/ (sinh y) y)) (cos x))
71.0ms	(sinh y)
66.0ms	(sinh y)
142.0ms	(* (* (sqrt (/ (sinh y) y)) (cos x)) (sqrt (/ (sinh y) y)))

simplify2.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (661.0ms)

Iter	Nodes	Cost
0	309	1657
1	835	1551
2	4750	1431
done	5001	1431

prune477.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

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)))

rewrite41.0ms

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×	`cbrt-div` `add-cbrt-cube` `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 → 102

Calls

4 calls:

2.0ms	(sinh y)
1.0ms	(sinh y)
6.0ms	(sinh y)
27.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series573.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sinh y)
105.0ms	(sinh y)
95.0ms	(sinh y)
301.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify1.1s

Counts

114 → 114

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1575
1	353	1471
2	1420	1417
done	5000	1383

prune600.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

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))

rewrite44.0ms

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×	`pow-unpow` `pow-pow` `add-cbrt-cube` `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 → 87

Calls

4 calls:

2.0ms	(sinh y)
2.0ms	(sinh y)
15.0ms	(cbrt (pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1)))
19.0ms	(pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1))

series961.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sinh y)
99.0ms	(sinh y)
436.0ms	(cbrt (pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1)))
332.0ms	(pow (sqrt (cbrt (/ (sinh y) y))) (+ 3 1))

simplify821.0ms

Counts

99 → 99

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	253	1655
1	611	1314
2	1865	1251
done	5001	1188

prune695.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes147.0ms

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	8	14
1	10	14
done	10	14

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.4s	2955×	body	1280	valid
1.3s	2487×	body	640	valid
1.0s	8687×	body	80	valid
219.0ms	1201×	body	320	valid
75.0ms	606×	body	160	valid