Details

sample55.0ms

Algorithm

intervals

Results

26.0ms

743×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1941
5	500
4	222
3	102
2	41
1	18
0	7

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ y (* z x)) (cosh x))
6.4b	(/ y (* z x))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

2.0ms	(cosh x)
40.0ms	(* (/ y (* z x)) (cosh x))
12.0ms	(/ y (* z x))

series354.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(cosh x)
249.0ms	(* (/ y (* z x)) (cosh x))
43.0ms	(/ y (* z x))

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	2120
1	316
0	118

prune369.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (* (+ (exp x) (exp (- x))) (/ y z)) x) 2)
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) (/ y z))
5.0b	(/ (* (+ (exp x) (exp (- x))) (/ y z)) x)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac`
35×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-cbrt-cube` `add-exp-log`
30×	`add-cube-cbrt`
13×	`cbrt-undiv` `div-exp` `associate-r`
8×	`associate-/l*`
7×	`div-inv`
6×	`pow1` `associate-/r*` `prod-exp` `cbrt-unprod` `add-log-exp` `associate-/l/`
5×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `associate-*l/`
2×	`clear-num` `frac-2neg` `associate-*r/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative`

Counts

4 → 127

Calls

4 calls:

26.0ms	(/ (/ (* (+ (exp x) (exp (- x))) (/ y z)) x) 2)
11.0ms	(+ (exp x) (exp (- x)))
72.0ms	(* (+ (exp x) (exp (- x))) (/ y z))
41.0ms	(/ (* (+ (exp x) (exp (- x))) (/ y z)) x)

series391.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (/ (* (+ (exp x) (exp (- x))) (/ y z)) x) 2)
37.0ms	(+ (exp x) (exp (- x)))
82.0ms	(* (+ (exp x) (exp (- x))) (/ y z))
156.0ms	(/ (* (+ (exp x) (exp (- x))) (/ y z)) x)

simplify2.3s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	4096
1	684
0	244

prune877.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* y (+ (exp x) (exp (- x))))
0.2b	(* (* y (+ (exp x) (exp (- x)))) (/ 1 z))
5.0b	(/ (* (* y (+ (exp x) (exp (- x)))) (/ 1 z)) x)

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-exp-log`
36×	`add-cbrt-cube`
25×	`prod-exp`
19×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `div-exp` `associate-r`
15×	`add-cube-cbrt`
13×	`cbrt-unprod`
12×	`times-frac` `associate-*r/`
11×	`pow1`
9×	`cbrt-undiv`
6×	`flip3-+` `flip-+` `add-log-exp` `associate-/l/`
4×	`frac-times` `rec-exp` `1-exp` `associate-l` `pow-prod-down` `associate-*l/`
3×	`associate-/r*`
2×	`un-div-inv` `*-commutative` `div-inv` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `associate-/l*` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

17.0ms	(+ (exp x) (exp (- x)))
42.0ms	(* y (+ (exp x) (exp (- x))))
63.0ms	(* (* y (+ (exp x) (exp (- x)))) (/ 1 z))
102.0ms	(/ (* (* y (+ (exp x) (exp (- x)))) (/ 1 z)) x)

series315.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* y (+ (exp x) (exp (- x))))
101.0ms	(* (* y (+ (exp x) (exp (- x)))) (/ 1 z))
112.0ms	(/ (* (* y (+ (exp x) (exp (- x)))) (/ 1 z)) x)

simplify3.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	4627
1	651
0	204

prune635.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (/ (+ (exp x) (exp (- x))) x) (/ y z)) 2)
0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (+ (exp x) (exp (- x))) x)
5.1b	(* (/ (+ (exp x) (exp (- x))) x) (/ y z))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cbrt-cube` `add-exp-log`
30×	`add-cube-cbrt`
16×	`associate-l`
14×	`cbrt-undiv` `div-exp`
13×	`associate-r`
8×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`associate-/l*` `associate-/l/`
4×	`div-inv` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `associate-l/` `associate-r/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `*-commutative`

Counts

4 → 128

Calls

4 calls:

25.0ms	(/ (* (/ (+ (exp x) (exp (- x))) x) (/ y z)) 2)
16.0ms	(+ (exp x) (exp (- x)))
37.0ms	(/ (+ (exp x) (exp (- x))) x)
82.0ms	(* (/ (+ (exp x) (exp (- x))) x) (/ y z))

series411.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (* (/ (+ (exp x) (exp (- x))) x) (/ y z)) 2)
34.0ms	(+ (exp x) (exp (- x)))
72.0ms	(/ (+ (exp x) (exp (- x))) x)
149.0ms	(* (/ (+ (exp x) (exp (- x))) x) (/ y z))

simplify2.9s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	4504
1	694
0	226

prune902.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes578.0ms

Accuracy

95.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.9b

bsearch156.0ms

Steps

Iters	Range		Point
9	2.5636327975280874e-30	7.559522110467174e-24	7.142361989502533e-24
8	-0.006845418491836063	-3.2129262692428965e-06	-0.0016167709985618571

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.0s

22453×

body

valid