Details

sample28.0ms

Algorithm

intervals

Results

13.0ms

265×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3129
6	793
5	262
4	114
3	64
2	39
1	25
0	13

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize45.0ms

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))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`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`
6×	`prod-diff`
4×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 113

Calls

4 calls:

7.0ms	(- (* t z) x)
8.0ms	(- (* y z) x)
158.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
59.0ms	(/ (- (* y z) x) (- (* t z) x))

series438.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* t z) x)
58.0ms	(- (* y z) x)
220.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
125.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2283
1	500
0	187

prune891.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize31.0ms

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))

rewrite314.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`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×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`clear-num` `frac-2neg` `prod-diff`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

13.0ms	(- (* y z) x)
43.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
214.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
32.0ms	(/ (- (* t z) x) (- (* y z) x))

series498.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y z) x)
151.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
222.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
90.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify2.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	4573
1	758
0	285

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize27.0ms

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))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`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×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`clear-num` `frac-2neg` `prod-diff`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 185

Calls

4 calls:

8.0ms	(- (* z y) x)
24.0ms	(/ 1 (/ (- (* t z) x) (- (* z y) x)))
185.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
50.0ms	(/ (- (* t z) x) (- (* z y) x))

series523.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* z y) x)
134.0ms	(/ 1 (/ (- (* t z) x) (- (* z y) x)))
253.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* z y) x)))) (+ x 1.0))
99.0ms	(/ (- (* t z) x) (- (* z y) x))

simplify2.8s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	4712
1	754
0	283

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite446.0ms

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×	`expm1-log1p-u` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l/`
2×	`flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 401

Calls

4 calls:

22.0ms	(/ 1 (- (* t z) x))
345.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))) (+ x 1.0))
13.0ms	(/ 1 (- (* z y) x))
41.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- (* t z) x))
260.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))) (+ x 1.0))
38.0ms	(/ 1 (- (* z y) x))
160.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* z y) x)))

simplify1.8s

Counts

413 → 413

Iterations

Iter	Nodes
done	5000
1	1977
0	595

prune2.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.2b

regimes527.0ms

Accuracy

54.3% (2.9b remaining)

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

bsearch133.0ms

Steps

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

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8324×

body

valid