Details

sample63.0ms

Algorithm

intervals

Results

31.0ms

333×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: 8 (1.6s)

Iter	Nodes	Cost
0	14	17
1	25	17
2	46	17
3	95	17
4	154	17
5	224	17
6	349	17
7	755	17
8	2611	15
done	5000	15

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.0b	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.1b	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

19.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
175.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
74.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series188.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
75.0ms	(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
74.0ms	(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.5s

Counts

67 → 67

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	133	1266
1	354	1207
2	1028	1119
3	3307	1101
done	5002	1101

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.5b	(/ 2.0 (* t z))

rewrite610.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

521.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
78.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
9.0ms	(/ 2.0 (* t z))

series168.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
59.0ms	(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
30.0ms	(/ 2.0 (* t z))

simplify999.0ms

Counts

71 → 71

Iterations

Useful iterations: done (995.0ms)

Iter	Nodes	Cost
0	139	1294
1	394	1208
2	1438	1148
done	5001	1106

prune190.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite646.0ms

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-exp-log` `frac-add` `add-cbrt-cube`
7×	`sum-log` `distribute-lft-out`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `associate-/r*` `flip-+`
2×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`associate-+l-` `sub-neg` `associate-+l+` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 111

Calls

3 calls:

523.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
96.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
16.0ms	(/ (/ 2.0 t) z)

series164.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
53.0ms	(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
29.0ms	(/ (/ 2.0 t) z)

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	243	1959
1	607	1819
2	1737	1755
done	5000	1723

prune456.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt 2.0)
2.0ms	(cbrt 2.0)
2.0ms	(cbrt 2.0)

series329.0ms

Counts

4 → 6

Calls

4 calls:

328.0ms	(cbrt t)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify2.2s

Counts

50 → 50

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	39	233
1	60	226
2	109	208
3	204	196
4	493	196
5	1648	196
done	5001	196

prune263.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

10451×

body

valid