Details

sample57.0ms

Algorithm

intervals

Results

27.0ms

704×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	41	8
3	102	8
4	224	8
5	377	8
6	592	8
7	1228	8
8	3476	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (cosh x) (/ y x)) z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

15.0ms	(* (cosh x) (/ y x))
19.0ms	(/ (* (cosh x) (/ y x)) z)

series262.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(* (cosh x) (/ y x))
155.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	141	739
1	338	701
2	1303	600
done	5000	600

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* y (* 1/2 (+ (exp x) (exp (- x)))))
5.3b	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* x z))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
8×	`pow1` `associate-*r/`
7×	`*-un-lft-identity`
6×	`cbrt-undiv` `div-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `pow-prod-down` `flip-+` `log1p-expm1-u`
2×	`associate-/l/`
1×	`+-commutative` `frac-2neg` `times-frac` `associate-r` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 72

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
74.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
78.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* x z))

series254.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (exp x) (exp (- x)))
73.0ms	(* y (* 1/2 (+ (exp x) (exp (- x)))))
142.0ms	(/ (* y (* 1/2 (+ (exp x) (exp (- x))))) (* x z))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	152	1252
1	427	1186
2	2359	934
done	5000	929

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (/ (* x y) z) (/ y (* x z)))
4.1b	(/ (* x y) z)
5.3b	(/ y (* x z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

0.0ms	(fma 1/2 (/ (* x y) z) (/ y (* x z)))
10.0ms	(/ (* x y) z)
10.0ms	(/ y (* x z))

series116.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma 1/2 (/ (* x y) z) (/ y (* x z)))
30.0ms	(/ (* x y) z)
33.0ms	(/ y (* x z))

simplify2.5s

Counts

65 → 65

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	98	597
1	212	584
2	740	500
3	3206	500
done	5000	500

prune214.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (/ (* x y) z) (* y (/ 1 (* x z))))
0.4b	(/ 1 (* x z))
4.1b	(/ (* x y) z)
5.8b	(* y (/ 1 (* x z)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
23×	`add-cbrt-cube`
14×	`prod-exp`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`div-exp`
9×	`pow1` `times-frac`
7×	`associate-r`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`associate-l` `div-inv`
2×	`pow-flip` `frac-2neg` `pow-prod-down` `clear-num`
1×	`associate-r/` `un-div-inv` `-commutative` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

1.0ms	(fma 1/2 (/ (* x y) z) (* y (/ 1 (* x z))))
21.0ms	(/ 1 (* x z))
16.0ms	(/ (* x y) z)
51.0ms	(* y (/ 1 (* x z)))

series135.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma 1/2 (/ (* x y) z) (* y (/ 1 (* x z))))
13.0ms	(/ 1 (* x z))
27.0ms	(/ (* x y) z)
31.0ms	(* y (/ 1 (* x z)))

simplify2.9s

Counts

109 → 109

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	136	995
1	306	846
2	948	716
3	4282	716
done	5000	716

prune213.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

87.4% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.9b

bsearch120.0ms

Steps

Iters	Range		Point
9	0.41062871172830084	6260213.991727593	1485.9036975172885
8	-1.1204690717208776e+87	-3.133242749826082e+84	-3.1655458620055947e+84

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	19	40
1	25	29
done	25	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.6s

22270×

body

valid