Details

sample62.0ms

Algorithm

intervals

Results

24.0ms

270×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	23	17
2	35	17
3	60	17
4	103	17
5	178	17
6	362	17
7	829	17
8	2007	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.3b	(/ (- (* y z) x) (- (* t z) x))

rewrite324.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

8.0ms	(- (* y z) x)
66.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
201.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
45.0ms	(/ (- (* y z) x) (- (* t z) x))

series427.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (* y z) x)
132.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
181.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
87.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	158	2130
1	401	2046
2	1197	1920
3	3580	1916
done	5000	1916

prune367.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ (* y (/ z (- (* t z) x))) x) (/ x (- (* t z) x))) (+ x 1.0))
2.3b	(* y (/ z (- (* t z) x)))
2.9b	(/ x (- (* t z) x))
6.4b	(/ z (- (* t z) x))

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 145

Calls

4 calls:

435.0ms	(/ (- (+ (* y (/ z (- (* t z) x))) x) (/ x (- (* t z) x))) (+ x 1.0))
49.0ms	(* y (/ z (- (* t z) x)))
22.0ms	(/ x (- (* t z) x))
22.0ms	(/ z (- (* t z) x))

series416.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(/ (- (+ (* y (/ z (- (* t z) x))) x) (/ x (- (* t z) x))) (+ x 1.0))
60.0ms	(* y (/ z (- (* t z) x)))
93.0ms	(/ x (- (* t z) x))
56.0ms	(/ z (- (* t z) x))

simplify1.2s

Counts

157 → 157

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	237	3230
1	576	3154
2	1666	2950
done	5000	2934

prune515.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (- (* t z) x) z))
2.3b	(* y (/ 1 (/ (- (* t z) x) z)))
2.9b	(/ x (- (* t z) x))
6.4b	(/ (- (* t z) x) z)

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
112×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
98×	`add-cube-cbrt`
44×	`associate-r`
38×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`div-exp`
11×	`div-inv`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `prod-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `cbrt-unprod`
2×	`flip3--` `flip--` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 208

Calls

4 calls:

26.0ms	(/ 1 (/ (- (* t z) x) z))
74.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
22.0ms	(/ x (- (* t z) x))
29.0ms	(/ (- (* t z) x) z)

series212.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (/ (- (* t z) x) z))
43.0ms	(* y (/ 1 (/ (- (* t z) x) z)))
75.0ms	(/ x (- (* t z) x))
55.0ms	(/ (- (* t z) x) z)

simplify2.3s

Counts

220 → 220

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	276	3288
1	646	2808
2	1394	2493
3	3623	2326
done	5000	2326

prune740.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1 (/ y (- t (/ x z)))) x)
0.0b	(/ (- (+ (* 1 (/ y (- t (/ x z)))) x) (/ x (- (* t z) x))) (+ x 1.0))
2.2b	(/ y (- t (/ x z)))
2.9b	(/ x (- (* t z) x))

rewrite473.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt` `*-un-lft-identity`
64×	`times-frac`
36×	`add-cube-cbrt`
18×	`difference-of-squares`
14×	`distribute-lft-out` `distribute-lft-out--`
13×	`associate-/r` `associate-/l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `associate-/l/`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv`
2×	`frac-sub`
1×	`+-commutative` `div-sub` `sum-log`

Counts

4 → 140

Calls

4 calls:

27.0ms	(+ (* 1 (/ y (- t (/ x z)))) x)
391.0ms	(/ (- (+ (* 1 (/ y (- t (/ x z)))) x) (/ x (- (* t z) x))) (+ x 1.0))
22.0ms	(/ y (- t (/ x z)))
25.0ms	(/ x (- (* t z) x))

series319.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* 1 (/ y (- t (/ x z)))) x)
145.0ms	(/ (- (+ (* 1 (/ y (- t (/ x z)))) x) (/ x (- (* t z) x))) (+ x 1.0))
36.0ms	(/ y (- t (/ x z)))
79.0ms	(/ x (- (* t z) x))

simplify1.0s

Counts

152 → 152

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	257	3327
1	588	3041
2	1606	2895
done	5000	2881

prune898.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	25
1	24	23
done	24	23

end0.0ms

sample1.2s

Algorithm

intervals

Results

720.0ms

8317×

body

valid