Details

sample59.0ms

Algorithm

intervals

Results

27.0ms

331×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	1520
7	525
6	220
5	110
4	76
3	57
2	41
1	20
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 28

Calls

1 calls:

84.0ms

(/ (+ (- x z) y) (* t 2.0))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ (- x z) y) (* t 2.0))

simplify1.5s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
3	3374
2	671
1	191
0	72

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
60×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
47×	`add-cube-cbrt`
18×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp` `add-log-exp` `difference-of-squares`
4×	`associate-/r*`
3×	`pow1` `distribute-lft-out--` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `associate--r-`

Counts

3 → 116

Calls

3 calls:

14.0ms	(/ (- z y) (* t 2.0))
77.0ms	(- (/ (/ x t) 2.0) (/ (- z y) (* t 2.0)))
17.0ms	(/ (/ x t) 2.0)

series148.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z y) (* t 2.0))
57.0ms	(- (/ (/ x t) 2.0) (/ (- z y) (* t 2.0)))
36.0ms	(/ (/ x t) 2.0)

simplify1.1s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2712
1	607
0	244

prune750.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z y) (* t 2.0))
0.0b	(- (/ (/ 1 1) (/ 2.0 (/ x t))) (/ (- z y) (* t 2.0)))
0.4b	(/ 2.0 (/ x t))
0.8b	(/ (/ 1 1) (/ 2.0 (/ x t)))

rewrite774.0ms

Algorithm

rewrite-expression-head

Rules

2023×	`times-frac`
919×	`add-sqr-sqrt`
871×	`*-un-lft-identity`
853×	`add-cube-cbrt`
108×	`div-inv`
74×	`add-exp-log`
59×	`div-exp`
58×	`associate-/r*`
35×	`add-cbrt-cube`
21×	`associate-/l*`
20×	`cbrt-undiv`
18×	`difference-of-squares`
16×	`associate-/r/`
15×	`1-exp`
6×	`rec-exp` `add-log-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg` `distribute-lft-out--` `associate-/l/`
2×	`flip3--` `div-sub` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `associate--r-`

Counts

4 → 797

Calls

4 calls:

26.0ms	(/ (- z y) (* t 2.0))
614.0ms	(- (/ (/ 1 1) (/ 2.0 (/ x t))) (/ (- z y) (* t 2.0)))
7.0ms	(/ 2.0 (/ x t))
57.0ms	(/ (/ 1 1) (/ 2.0 (/ x t)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (- z y) (* t 2.0))
63.0ms	(- (/ (/ 1 1) (/ 2.0 (/ x t))) (/ (- z y) (* t 2.0)))
23.0ms	(/ 2.0 (/ x t))
34.0ms	(/ (/ 1 1) (/ 2.0 (/ x t)))

simplify670.0ms

Counts

809 → 809

Iterations

Iter	Nodes
done	5000
0	1304

prune4.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t 2.0) (- z y))
0.0b	(- (/ (/ x t) 2.0) (/ 1 (/ (* t 2.0) (- z y))))
0.2b	(/ (/ x t) 2.0)
0.4b	(/ 1 (/ (* t 2.0) (- z y)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
110×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
68×	`add-cube-cbrt`
35×	`add-exp-log`
23×	`add-cbrt-cube`
19×	`associate-/r*`
17×	`div-exp` `associate-/l*`
15×	`difference-of-squares`
12×	`div-inv`
11×	`associate-/r/`
10×	`cbrt-undiv`
9×	`distribute-lft-out--`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
2×	`cbrt-unprod`
1×	`sub-neg` `diff-log` `frac-sub` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 194

Calls

4 calls:

24.0ms	(/ (* t 2.0) (- z y))
135.0ms	(- (/ (/ x t) 2.0) (/ 1 (/ (* t 2.0) (- z y))))
18.0ms	(/ (/ x t) 2.0)
39.0ms	(/ 1 (/ (* t 2.0) (- z y)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* t 2.0) (- z y))
58.0ms	(- (/ (/ x t) 2.0) (/ 1 (/ (* t 2.0) (- z y))))
36.0ms	(/ (/ x t) 2.0)
53.0ms	(/ 1 (/ (* t 2.0) (- z y)))

simplify2.0s

Counts

206 → 206

Iterations

Iter	Nodes
done	5000
2	4698
1	898
0	347

prune952.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.5s

Algorithm

intervals

Results

733.0ms

10864×

body

valid