Details

sample50.0ms

Algorithm

intervals

Results

25.0ms

265×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2713
7	1331
6	448
5	184
4	101
3	60
2	35
1	23
0	13

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

7.0ms	(- (* t z) x)
11.0ms	(- (* y z) x)
171.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
31.0ms	(/ (- (* y z) x) (- (* t z) x))

series355.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* t z) x)
40.0ms	(- (* y z) x)
183.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
95.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
3	4644
2	1241
1	411
0	159

prune762.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.3b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
12.3b	(/ (- (* t z) x) (- (* y z) x))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `associate-/r/`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 173

Calls

4 calls:

13.0ms	(- (* y z) x)
45.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
201.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
35.0ms	(/ (- (* t z) x) (- (* y z) x))

series466.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (* y z) x)
105.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
242.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
89.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify1.7s

Counts

185 → 185

Iterations

Iter	Nodes
done	5005
2	2166
1	673
0	260

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z y) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* z y) x)))
0.3b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
12.3b	(/ (- (* t z) x) (- (* z y) x))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`add-cbrt-cube` `associate-/r/`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 173

Calls

4 calls:

6.0ms	(- (* z y) x)
40.0ms	(/ 1 (/ (- (* t z) x) (- (* z y) x)))
264.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
51.0ms	(/ (- (* t z) x) (- (* z y) x))

series445.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* z y) x)
123.0ms	(/ 1 (/ (- (* t z) x) (- (* z y) x)))
211.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
84.0ms	(/ (- (* t z) x) (- (* z y) x))

simplify2.0s

Counts

185 → 185

Iterations

Iter	Nodes
done	5002
2	2119
1	672
0	258

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (* t z) x))
0.3b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
0.4b	(/ 1 (- (* y z) x))
11.7b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite594.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`clear-num` `frac-2neg` `add-log-exp`
3×	`associate-/l/`
2×	`flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 393

Calls

4 calls:

25.0ms	(/ 1 (- (* t z) x))
447.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
24.0ms	(/ 1 (- (* y z) x))
59.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- (* t z) x))
238.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
29.0ms	(/ 1 (- (* y z) x))
124.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify3.6s

Counts

405 → 405

Iterations

Iter	Nodes
done	5001
2	4160
1	1804
0	587

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

regimes439.0ms

Accuracy

54.3% (2.9b remaining)

Error of 4.0b against oracle of 1.1b and baseline of 7.4b

bsearch122.0ms

Steps

Iters	Range		Point
8	4.887951864049646e+193	9.825324490773818e+197	4.989921171097169e+193
9	-1.1826995593929426e+114	-1.747600176143457e+108	-4.898559820385925e+110

simplify17.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample1.0s

Algorithm

intervals

Results

720.0ms

8324×

body

valid