Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

262×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

48.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms	(- (* y z) x)
158.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
23.0ms	(/ (- (* y z) x) (- (* t z) x))

series369.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
25.0ms	(- (* y z) x)
137.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
80.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify787.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1746
1	412
0	158

prune604.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
3.2b	(/ (- (* t z) x) y)
3.9b	(/ x (- (* t z) x))
8.0b	(/ z (/ (- (* t z) x) y))

rewrite761.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`*-un-lft-identity`
100×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
23×	`associate-/r*`
16×	`associate-/l*`
15×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l/`
5×	`associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`flip3--` `flip--`
2×	`flip3-+` `div-sub` `frac-sub` `flip-+`

Counts

4 → 187

Calls

4 calls:

696.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
19.0ms	(/ (- (* t z) x) y)
15.0ms	(/ x (- (* t z) x))
18.0ms	(/ z (/ (- (* t z) x) y))

series463.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ x (- (* t z) x))) (+ x 1.0))
77.0ms	(/ (- (* t z) x) y)
92.0ms	(/ x (- (* t z) x))
75.0ms	(/ z (/ (- (* t z) x) y))

simplify1.4s

Counts

199 → 199

Iterations

Iter	Nodes
done	5000
2	3999
1	823
0	310

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ 1 (/ (- (* z t) x) x))) (+ x 1.0))
3.2b	(/ (- (* t z) x) y)
3.8b	(/ (- (* z t) x) x)
8.0b	(/ z (/ (- (* t z) x) y))

rewrite895.0ms

Algorithm

rewrite-expression-head

Rules

171×	`times-frac`
156×	`*-un-lft-identity`
150×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
25×	`difference-of-squares`
23×	`associate-/r*` `distribute-lft-out`
21×	`associate-/l*`
20×	`distribute-lft-out--`
18×	`div-inv`
15×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
3×	`flip3--` `div-sub` `associate-/r/` `flip--`
2×	`flip3-+` `frac-sub` `flip-+`

Counts

4 → 213

Calls

4 calls:

819.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ 1 (/ (- (* z t) x) x))) (+ x 1.0))
16.0ms	(/ (- (* t z) x) y)
23.0ms	(/ (- (* z t) x) x)
21.0ms	(/ z (/ (- (* t z) x) y))

series432.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(/ (- (+ x (/ z (/ (- (* t z) x) y))) (/ 1 (/ (- (* z t) x) x))) (+ x 1.0))
68.0ms	(/ (- (* t z) x) y)
56.0ms	(/ (- (* z t) x) x)
108.0ms	(/ z (/ (- (* t z) x) y))

simplify1.4s

Counts

225 → 225

Iterations

Iter	Nodes
done	5000
2	4205
1	941
0	361

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ 1 (- (* t z) x))
0.7b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
9.7b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 122

Calls

4 calls:

10.0ms	(- (* y z) x)
15.0ms	(/ 1 (- (* t z) x))
34.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
51.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) x)
33.0ms	(/ 1 (- (* t z) x))
168.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
89.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify2.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	3054
1	486
0	189

prune756.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

regimes464.0ms

Accuracy

52.6% (3.3b remaining)

Error of 3.7b against oracle of 0.4b and baseline of 7.3b

bsearch126.0ms

Steps

Iters	Range		Point
8	2.0129849073113435e+131	8.804670217430036e+133	2.6537477448810454e+131
10	-5.2576667323477315e+85	-5.542941488631225e+70	-5.021372688236871e+81

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

762.0ms

8347×

body

valid