Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

743×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	40	8
3	99	8
4	219	8
5	375	8
6	626	8
7	1477	8
8	3595	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b	(/ (* (cosh x) (/ y x)) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r` `associate-/l/`
2×	`cosh-def` `prod-exp` `cbrt-unprod`
1×	`pow1` `expm1-log1p-u` `frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

5.0ms

(/ (* (cosh x) (/ y x)) z)

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

(/ (* (cosh x) (/ y x)) z)

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	91	364
1	241	348
2	868	284
3	4931	284
done	5000	284

prune79.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cosh x) (* (/ z y) x))
5.7b	(* (/ z y) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`cosh-def` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative` `associate-/l/`

Counts

2 → 61

Calls

2 calls:

5.0ms	(/ (cosh x) (* (/ z y) x))
10.0ms	(* (/ z y) x)

series146.0ms

Counts

2 → 6

Calls

2 calls:

128.0ms	(/ (cosh x) (* (/ z y) x))
18.0ms	(* (/ z y) x)

simplify2.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	130	644
1	317	627
2	1095	531
3	4981	527
done	5000	527

prune156.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
2.2b	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
41.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

series511.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt y)
166.0ms	(cbrt y)
163.0ms	(cbrt y)
19.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

simplify879.0ms

Counts

102 → 102

Iterations

Useful iterations: done (876.0ms)

Iter	Nodes	Cost
0	124	1658
1	412	1592
2	1892	814
done	5000	812

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (cosh x) (/ z y))
5.5b	(/ (/ (cosh x) (/ z y)) x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`associate-/l*`
22×	`div-inv`
16×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cosh-def`

Counts

2 → 271

Calls

2 calls:

6.0ms	(/ (cosh x) (/ z y))
15.0ms	(/ (/ (cosh x) (/ z y)) x)

series231.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (cosh x) (/ z y))
134.0ms	(/ (/ (cosh x) (/ z y)) x)

simplify1.5s

Counts

277 → 277

Iterations

Useful iterations: 2 (910.0ms)

Iter	Nodes	Cost
0	503	4873
1	1221	4549
2	4409	4404
done	5000	4404

prune825.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

75.1% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 2.7b

bsearch99.0ms

Steps

Iters	Range		Point
8	1.7204139302587188e-44	4.246075255295444e-40	2.6068638849624772e-42
10	-2.358276848448715e+91	-1.5703984343353177e+80	-1.9357721012183174e+80

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	22	25
done	22	25

end0.0ms

sample1.1s

Algorithm

intervals

Results

634.0ms

22251×

body

valid