Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

264×

body

valid

simplify3.4s

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	101	17
5	190	17
6	402	17
7	1029	17
8	4266	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite96.0ms

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:

18.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
61.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series277.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
26.0ms	(- (* t z) x)
117.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
56.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify451.0ms

Counts

110 → 110

Iterations

Useful iterations: done (447.0ms)

Iter	Nodes	Cost
0	157	2130
1	398	2046
2	1283	1920
done	5000	1916

prune280.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
2.2b	(/ x (- (* t z) x))
8.9b	(/ (* y z) (- (* t z) x))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
45×	`times-frac`
27×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
11×	`associate-/l*`
10×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub` `prod-exp` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* t z) x)
232.0ms	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
6.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series232.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- (* t z) x)
114.0ms	(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
59.0ms	(/ x (- (* t z) x))
33.0ms	(/ (* y z) (- (* t z) x))

simplify577.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (149.0ms)

Iter	Nodes	Cost
0	204	2973
1	528	2899
2	1963	2717
done	5000	2717

prune338.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
2.0b	(/ y (/ (- (* t z) x) z))
2.2b	(/ x (- (* t z) x))
6.4b	(/ (- (* t z) x) z)

rewrite449.0ms

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-exp-log` `add-cbrt-cube`
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` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3--` `flip--`
2×	`flip3-+` `div-sub` `frac-sub` `flip-+`

Counts

4 → 187

Calls

4 calls:

419.0ms	(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
8.0ms	(/ y (/ (- (* t z) x) z))
6.0ms	(/ x (- (* t z) x))
8.0ms	(/ (- (* t z) x) z)

series249.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (- (+ x (/ y (/ (- (* t z) x) z))) (/ x (- (* t z) x))) (+ x 1.0))
35.0ms	(/ y (/ (- (* t z) x) z))
59.0ms	(/ x (- (* t z) x))
38.0ms	(/ (- (* t z) x) z)

simplify1.1s

Counts

199 → 199

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	310	4235
1	755	4093
2	3002	3881
done	5000	3881

prune539.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (/ x z))
0.0b	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
2.0b	(/ y (- t (/ x z)))
2.2b	(/ x (- (* t z) x))

rewrite522.0ms

Algorithm

rewrite-expression-head

Rules

87×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
65×	`times-frac`
36×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`distribute-lft-out--`
13×	`associate-/r` `distribute-lft-out` `associate-/l`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--` `associate-/l/`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 143

Calls

4 calls:

6.0ms	(- t (/ x z))
491.0ms	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
13.0ms	(/ y (- t (/ x z)))
6.0ms	(/ x (- (* t z) x))

series220.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- t (/ x z))
111.0ms	(/ (- (+ x (/ y (- t (/ x z)))) (/ x (- (* t z) x))) (+ x 1.0))
30.0ms	(/ y (- t (/ x z)))
59.0ms	(/ x (- (* t z) x))

simplify567.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	244	3079
1	560	2995
2	1830	2847
done	5000	2847

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	26	38
done	26	38

end0.0ms

sample540.0ms

Algorithm

intervals

Results

329.0ms

8315×

body

valid