Details

sample48.0ms

Algorithm

intervals

Results

26.0ms

713×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.9b	(/ (* (cosh x) (/ y x)) z)

rewrite44.0ms

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/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

21.0ms	(* (cosh x) (/ y x))
20.0ms	(/ (* (cosh x) (/ y x)) z)

series297.0ms

Counts

2 → 6

Calls

2 calls:

133.0ms	(* (cosh x) (/ y x))
164.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.2s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
2	1310
1	345
0	137

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
6.6b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

14.0ms	(+ (exp x) (exp (- x)))
57.0ms	(* (+ (exp x) (exp (- x))) y)
40.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (exp x) (exp (- x)))
68.0ms	(* (+ (exp x) (exp (- x))) y)
109.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	2134
1	419
0	138

prune325.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)
0.0b	(/ 1/2 (exp x))
0.2b	(* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z))
7.1b	(/ (* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)) x)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `times-frac`
32×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube`
21×	`add-exp-log`
16×	`associate-r`
11×	`div-inv`
9×	`associate-/r*`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out`
6×	`pow1`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `associate-/l/`
2×	`associate-*r/` `unswap-sqr`
1×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 119

Calls

4 calls:

50.0ms	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)
9.0ms	(/ 1/2 (exp x))
99.0ms	(* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z))
26.0ms	(/ (* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)) x)

series361.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)
19.0ms	(/ 1/2 (exp x))
136.0ms	(* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z))
130.0ms	(/ (* y (/ (+ (/ 1/2 (exp x)) (* 1/2 (exp x))) z)) x)

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	2247
1	537
0	216

prune867.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.2b	(/ (* (+ (exp x) (exp (- x))) y) z)
7.0b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(+ (exp x) (exp (- x)))
39.0ms	(* (+ (exp x) (exp (- x))) y)
16.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
21.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series266.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
62.0ms	(* (+ (exp x) (exp (- x))) y)
71.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
108.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1858
1	490
0	181

prune503.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes269.0ms

Accuracy

94.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.6b

bsearch95.0ms

Steps

Iters	Range		Point
7	7.116247436874675e-60	1.773079517275612e-58	1.7439336583180414e-58
6	-5.365292474557549e-15	-3.84287360329371e-16	-5.260389744678724e-15

simplify8.0ms

Iterations

Iter	Nodes
done	42
1	42
0	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s

22614×

body

valid