Details

sample93.0ms

Algorithm

intervals

Results

50.0ms

657×

body

valid

simplify7.9s

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: 8.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ y x))
7.5b	(/ (* (cosh x) (/ y x)) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

1.0ms	(cosh x)
27.0ms	(* (cosh x) (/ y x))
15.0ms	(/ (* (cosh x) (/ y x)) z)

series337.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(cosh x)
115.0ms	(* (cosh x) (/ y x))
149.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts

83 → 83

Iterations

Useful iterations: 2 (327.0ms)

Iter	Nodes	Cost
0	156	811
1	366	770
2	1353	665
done	5000	665

prune349.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
6.1b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

15.0ms	(+ (exp x) (exp (- x)))
68.0ms	(* (+ (exp x) (exp (- x))) y)
75.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series267.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
83.0ms	(* (+ (exp x) (exp (- x))) y)
158.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	145	1158
1	410	1102
2	2014	863
done	5000	854

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.5b	(/ (+ (exp x) (exp (- x))) (/ (* z (* 2 x)) y))
6.0b	(/ (* z (* 2 x)) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
42×	`*-un-lft-identity`
26×	`add-exp-log` `add-cbrt-cube`
24×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`cbrt-undiv` `div-exp` `associate-/r*`
9×	`distribute-lft-out`
7×	`div-inv`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/l*` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `associate-/r/`

Counts

3 → 104

Calls

3 calls:

17.0ms	(+ (exp x) (exp (- x)))
62.0ms	(/ (+ (exp x) (exp (- x))) (/ (* z (* 2 x)) y))
21.0ms	(/ (* z (* 2 x)) y)

series248.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (exp x) (exp (- x)))
163.0ms	(/ (+ (exp x) (exp (- x))) (/ (* z (* 2 x)) y))
43.0ms	(/ (* z (* 2 x)) y)

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	189	1937
1	498	1858
2	1998	1655
done	5000	1650

prune388.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (+ (exp x) (exp (- x))) z)
6.7b	(/ (/ (+ (exp x) (exp (- x))) z) (/ (* 2 x) y))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

271×	`times-frac`
169×	`*-un-lft-identity`
111×	`add-sqr-sqrt` `add-cube-cbrt`
29×	`distribute-lft-out`
27×	`div-inv`
26×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
10×	`associate-/r*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l/`
2×	`frac-2neg` `flip3-+` `prod-exp` `clear-num` `cbrt-unprod` `flip-+`
1×	`+-commutative` `sum-log` `associate-/r/`

Counts

3 → 213

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
44.0ms	(/ (+ (exp x) (exp (- x))) z)
58.0ms	(/ (/ (+ (exp x) (exp (- x))) z) (/ (* 2 x) y))

series313.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (exp x) (exp (- x)))
89.0ms	(/ (+ (exp x) (exp (- x))) z)
181.0ms	(/ (/ (+ (exp x) (exp (- x))) z) (/ (* 2 x) y))

simplify2.0s

Counts

222 → 222

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	357	5013
1	996	4798
2	3138	4496
done	5000	4491

prune725.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

87.5% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 7.1b

bsearch139.0ms

Steps

Iters	Range		Point
7	3.857728267990711e+112	7.576201786446757e+114	3.970994457643005e+112
10	-2.2715018018427623e+21	-19147056015.956158	-712742474614758.0

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	50
1	29	37
done	29	37

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s

22226×

body

valid