Details

sample33.0ms

Algorithm

intervals

Results

17.0ms

631×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	40	8
3	99	8
4	217	8
5	370	8
6	620	8
7	1478	8
8	3488	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.2b	(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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

Counts

2 → 60

Calls

2 calls:

8.0ms	(* (cosh x) (/ y x))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series209.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* (cosh x) (/ y x))
125.0ms	(/ (* (cosh x) (/ y x)) z)

simplify495.0ms

Counts

66 → 66

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	137	707
1	344	670
2	1308	570
done	5000	570

prune153.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (* 1/2 (+ (exp x) (exp (- x)))) y)
5.6b	(/ (* (* 1/2 (+ (exp x) (exp (- x)))) y) (* x z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

5.0ms	(+ (exp x) (exp (- x)))
25.0ms	(* (* 1/2 (+ (exp x) (exp (- x)))) y)
31.0ms	(/ (* (* 1/2 (+ (exp x) (exp (- x)))) y) (* x z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (exp x) (exp (- x)))
67.0ms	(* (* 1/2 (+ (exp x) (exp (- x)))) y)
97.0ms	(/ (* (* 1/2 (+ (exp x) (exp (- x)))) y) (* x z))

simplify998.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (425.0ms)

Iter	Nodes	Cost
0	140	1143
1	437	1077
2	2334	820
done	5000	820

prune160.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* 1/2 (+ (exp x) (exp (- x)))) x)
0.0b	(+ (exp x) (exp (- x)))
6.5b	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) x) (/ y z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

9.0ms	(/ (* 1/2 (+ (exp x) (exp (- x)))) x)
5.0ms	(+ (exp x) (exp (- x)))
32.0ms	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) x) (/ y z))

series181.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (* 1/2 (+ (exp x) (exp (- x)))) x)
27.0ms	(+ (exp x) (exp (- x)))
93.0ms	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) x) (/ y z))

simplify758.0ms

Counts

90 → 90

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	181	1517
1	533	1426
2	2209	1176
done	5001	1176

prune233.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (* 1/2 (+ (exp x) (exp (- x)))) z)
0.2b	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y)
6.3b	(/ (* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y) x)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
9.0ms	(/ (* 1/2 (+ (exp x) (exp (- x)))) z)
35.0ms	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y)
49.0ms	(/ (* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y) x)

series288.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
54.0ms	(/ (* 1/2 (+ (exp x) (exp (- x)))) z)
94.0ms	(* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y)
115.0ms	(/ (* (/ (* 1/2 (+ (exp x) (exp (- x)))) z) y) x)

simplify814.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	186	1605
1	503	1536
2	2161	1233
done	5001	1233

prune247.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes198.0ms

Accuracy

96.4% (0.2b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	54
1	30	54
done	30	54

end0.0ms

sample1.1s

Algorithm

intervals

Results

614.0ms

22339×

body

valid