Details

sample111.0ms

Algorithm

intervals

Results

61.0ms

686×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize87.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.3b	(/ (* (cosh x) (/ y x)) z)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 62

Calls

2 calls:

42.0ms	(* (cosh x) (/ y x))
46.0ms	(/ (* (cosh x) (/ y x)) z)

series448.0ms

Counts

2 → 6

Calls

2 calls:

192.0ms	(* (cosh x) (/ y x))
257.0ms	(/ (* (cosh x) (/ y x)) z)

simplify3.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1306
1	347
0	139

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) y)
5.0b	(/ (* (cosh x) y) (* z x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`cosh-def` `associate-*l/` `insert-posit16` `add-log-exp`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr` `associate-/l/`

Counts

2 → 43

Calls

2 calls:

18.0ms	(* (cosh x) y)
43.0ms	(/ (* (cosh x) y) (* z x))

series444.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* (cosh x) y)
296.0ms	(/ (* (cosh x) y) (* z x))

simplify2.7s

Counts

49 → 49

Iterations

Iter	Nodes
done	5190
2	1325
1	276
0	104

prune695.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize84.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) y)
0.0b	(/ (* (cosh x) y) z)
5.2b	(/ (/ (* (cosh x) y) z) x)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*` `div-inv`
5×	`pow1`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cosh-def` `clear-num` `frac-2neg` `associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

38.0ms	(* (cosh x) y)
33.0ms	(/ (* (cosh x) y) z)
57.0ms	(/ (/ (* (cosh x) y) z) x)

series585.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(* (cosh x) y)
179.0ms	(/ (* (cosh x) y) z)
258.0ms	(/ (/ (* (cosh x) y) z) x)

simplify2.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1413
1	431
0	176

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
0.0b	(/ 1/2 (exp x))
0.0b	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
5.5b	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`add-exp-log`
13×	`associate-r` `associate-l`
6×	`pow1` `cbrt-undiv` `associate-/r` `div-exp` `associate-/l` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `associate-/l/`
1×	`frac-times` `+-commutative` `sum-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 121

Calls

4 calls:

43.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
12.0ms	(/ 1/2 (exp x))
111.0ms	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
146.0ms	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

series567.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
38.0ms	(/ 1/2 (exp x))
180.0ms	(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x)
235.0ms	(* (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) x) (/ y z))

simplify4.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2072
1	608
0	222

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes658.0ms

Accuracy

94.9% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.4b

bsearch208.0ms

Steps

Iters	Range		Point
8	3.380708520404637e-12	3.869069856444949e-09	6.306951740289983e-10
8	-1.4722493709618549e+53	-4.1367821655395864e+50	-4.198394949665206e+50

simplify15.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.8s

22452×

body

valid