Details

sample53.0ms

Algorithm

intervals

Results

24.0ms

264×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2841
6	706
5	238
4	102
3	60
2	35
1	23
0	13

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (* z y) x) (- (* z t) x)) x)
0.2b	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
11.7b	(/ (- (* z y) x) (- (* z t) x))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

81.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
202.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
35.0ms	(/ (- (* z y) x) (- (* z t) x))

series405.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ (/ (- (* z y) x) (- (* z t) x)) x)
206.0ms	(/ (+ (/ (- (* z y) x) (- (* z t) x)) x) (+ x 1.0))
70.0ms	(/ (- (* z y) x) (- (* z t) x))

simplify838.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1758
1	412
0	155

prune563.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (- (/ z (/ (- (* z t) x) y)) (/ x (- (* z t) x))) x) (+ x 1.0))
2.9b	(/ (- (* z t) x) y)
3.4b	(/ x (- (* z t) x))
8.9b	(/ z (/ (- (* z t) x) y))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `div-sub` `flip-+` `flip--`
1×	`associate-+l-`

Counts

4 → 175

Calls

4 calls:

1.7s	(/ (+ (- (/ z (/ (- (* z t) x) y)) (/ x (- (* z t) x))) x) (+ x 1.0))
27.0ms	(/ (- (* z t) x) y)
11.0ms	(/ x (- (* z t) x))
26.0ms	(/ z (/ (- (* z t) x) y))

series410.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(/ (+ (- (/ z (/ (- (* z t) x) y)) (/ x (- (* z t) x))) x) (+ x 1.0))
54.0ms	(/ (- (* z t) x) y)
62.0ms	(/ x (- (* z t) x))
63.0ms	(/ z (/ (- (* z t) x) y))

simplify1.3s

Counts

187 → 187

Iterations

Iter	Nodes
done	5001
2	3623
1	767
0	292

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (* (/ z (- (* z t) x)) y) (- (/ x (- (* z t) x)) x)) (+ x 1.0))
1.6b	(* (/ z (- (* z t) x)) y)
3.4b	(/ x (- (* z t) x))
8.8b	(/ z (- (* z t) x))

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

291.0ms	(/ (- (* (/ z (- (* z t) x)) y) (- (/ x (- (* z t) x)) x)) (+ x 1.0))
43.0ms	(* (/ z (- (* z t) x)) y)
12.0ms	(/ x (- (* z t) x))
20.0ms	(/ z (- (* z t) x))

series398.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(/ (- (* (/ z (- (* z t) x)) y) (- (/ x (- (* z t) x)) x)) (+ x 1.0))
78.0ms	(* (/ z (- (* z t) x)) y)
73.0ms	(/ x (- (* z t) x))
50.0ms	(/ z (- (* z t) x))

simplify1.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	2727
1	592
0	223

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ (/ z (/ x t)) -1))
1.6b	(* (/ z (- (* z t) x)) y)
5.7b	(/ z (/ x t))
8.8b	(/ z (- (* z t) x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

127×	`times-frac`
103×	`add-sqr-sqrt`
82×	`*-un-lft-identity`
74×	`add-cube-cbrt`
23×	`associate-/r*`
20×	`add-exp-log`
18×	`add-cbrt-cube`
15×	`associate-l`
12×	`difference-of-sqr--1`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1` `div-exp` `associate-/r/`
6×	`cbrt-undiv`
4×	`distribute-lft-out` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`flip3--` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`rec-exp` `flip3-+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 182

Calls

4 calls:

56.0ms	(/ 1 (+ (/ z (/ x t)) -1))
31.0ms	(* (/ z (- (* z t) x)) y)
7.0ms	(/ z (/ x t))
11.0ms	(/ z (- (* z t) x))

series254.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ 1 (+ (/ z (/ x t)) -1))
77.0ms	(* (/ z (- (* z t) x)) y)
36.0ms	(/ z (/ x t))
58.0ms	(/ z (- (* z t) x))

simplify1.3s

Counts

194 → 194

Iterations

Iter	Nodes
done	5001
2	3476
1	756
0	314

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes326.0ms

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 2.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	28
2	28
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

8356×

body

valid