Details

sample59.0ms

Algorithm

intervals

Results

27.0ms

338×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3868
6	855
5	274
4	179
3	96
2	46
1	25
0	14

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* z 2.0) (- 1.0 t))
0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.7b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

27.0ms	(* (* z 2.0) (- 1.0 t))
26.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
24.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series215.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (* z 2.0) (- 1.0 t))
78.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
76.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify1.2s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	2104
1	420
0	139

prune434.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
0.0b	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.2b	(/ (/ 2.0 t) z)

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-+r+` `associate-+r-` `associate-/r*` `flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`clear-num` `sub-neg` `frac-2neg` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

284.0ms	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
101.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
14.0ms	(/ (/ 2.0 t) z)

series163.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (/ x y) (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)))
41.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
38.0ms	(/ (/ 2.0 t) z)

simplify1.9s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	3460
1	695
0	243

prune799.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
0.0b	(+ (/ x y) (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)))
0.3b	(* (/ 2.0 t) (/ 1 z))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`frac-add`
25×	`times-frac` `add-exp-log`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt` `add-log-exp`
15×	`add-cbrt-cube`
13×	`associate-r` `associate-l`
8×	`flip3--` `div-exp` `prod-exp` `flip--`
7×	`sum-log`
6×	`unswap-sqr`
5×	`frac-times` `pow1` `associate-l/` `associate-r/` `un-div-inv`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`associate-+r+` `associate-+r-` `flip3-+` `flip-+`
2×	`+-commutative` `rec-exp` `diff-log` `1-exp` `div-inv`
1×	`sub-neg` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

3 → 106

Calls

3 calls:

51.0ms	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
205.0ms	(+ (/ x y) (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)))
38.0ms	(* (/ 2.0 t) (/ 1 z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0))
84.0ms	(+ (/ x y) (+ (* (/ 2.0 t) (/ 1 z)) (- (/ 2.0 t) 2.0)))
43.0ms	(* (/ 2.0 t) (/ 1 z))

simplify446.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
1	885
0	249

prune586.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
0.0b	(+ (/ x y) (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)))
0.2b	(/ (/ 2.0 z) t)

rewrite435.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
59×	`*-un-lft-identity`
45×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-log-exp`
13×	`associate-/l*`
8×	`add-cbrt-cube` `frac-add` `add-exp-log`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-+r+` `associate-+r-` `associate-/r*` `flip3-+` `div-exp` `flip-+`
2×	`+-commutative` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`clear-num` `sub-neg` `frac-2neg` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

109.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
300.0ms	(+ (/ x y) (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)))
18.0ms	(/ (/ 2.0 z) t)

series142.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0))
80.0ms	(+ (/ x y) (+ (/ (/ 2.0 z) t) (- (/ 2.0 t) 2.0)))
28.0ms	(/ (/ 2.0 z) t)

simplify1.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	5002
2	3239
1	696
0	243

prune731.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes511.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10509×

body

valid