Details

sample67.0ms

Algorithm

intervals

Results

37.0ms

671×

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (cosh x) (/ y x))
7.1b	(/ (* (cosh x) (/ y x)) z)

rewrite24.0ms

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:

12.0ms	(* (cosh x) (/ y x))
11.0ms	(/ (* (cosh x) (/ y x)) z)

series322.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* (cosh x) (/ y x))
174.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
2	1526
1	347
0	137

prune350.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (cosh x) y) (/ 1 x))
0.2b	(* (cosh x) y)
7.1b	(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

25.0ms	(* (* (cosh x) y) (/ 1 x))
6.0ms	(* (cosh x) y)
24.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

series338.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(* (* (cosh x) y) (/ 1 x))
84.0ms	(* (cosh x) y)
134.0ms	(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	3418
1	535
0	184

prune453.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
0.0b	(/ 1/2 (exp x))
0.7b	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) (* z (/ x y)))
6.4b	(* z (/ x y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`add-exp-log`
13×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`associate-/r*` `prod-exp` `cbrt-unprod`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-*r/` `flip-+` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 96

Calls

4 calls:

19.0ms	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
8.0ms	(/ 1/2 (exp x))
58.0ms	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) (* z (/ x y)))
11.0ms	(* z (/ x y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
11.0ms	(/ 1/2 (exp x))
159.0ms	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) (* z (/ x y)))
21.0ms	(* z (/ x y))

simplify1.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	2256
1	508
0	191

prune621.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* x x) (* x x)) 1/24)
0.2b	(* (* x x) (* x x))
0.4b	(/ (+ (+ (* (* (* x x) (* x x)) 1/24) 1) (* x (* x 1/2))) (* z (/ x y)))
6.4b	(* z (/ x y))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

135×	`pow1`
48×	`add-cbrt-cube` `add-exp-log`
37×	`pow-prod-down`
36×	`pow-prod-up`
25×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
21×	`add-sqr-sqrt`
18×	`pow-plus`
17×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2` `times-frac`
5×	`cbrt-undiv` `div-exp` `associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`-commutative` `associate-/l`
2×	`associate-*r/` `div-inv` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3-+` `swap-sqr` `associate-/r/` `flip-+`

Counts

4 → 149

Calls

4 calls:

149.0ms	(* (* (* x x) (* x x)) 1/24)
24.0ms	(* (* x x) (* x x))
1.6s	(/ (+ (+ (* (* (* x x) (* x x)) 1/24) 1) (* x (* x 1/2))) (* z (/ x y)))
11.0ms	(* z (/ x y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* x x) (* x x)) 1/24)
34.0ms	(* (* x x) (* x x))
136.0ms	(/ (+ (+ (* (* (* x x) (* x x)) 1/24) 1) (* x (* x 1/2))) (* z (/ x y)))
32.0ms	(* z (/ x y))

simplify2.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	3206
1	597
0	197

prune674.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes437.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 8.4b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
1	28
0	20

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s

22383×

body

valid