Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

384×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
24	4881
23	4699
22	4472
21	4270
20	4070
19	3868
18	3646
17	3460
16	3233
15	3031
14	2826
13	2618
12	2415
11	2233
10	1991
9	1774
8	1492
7	1119
6	768
5	428
4	213
3	120
2	65
1	32
0	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.4b	(/ (* z t) 16.0)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

7.0ms	(/ (* a b) 4.0)
8.0ms	(+ (* x y) (/ (* z t) 16.0))
86.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
10.0ms	(/ (* z t) 16.0)

series228.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* a b) 4.0)
56.0ms	(+ (* x y) (/ (* z t) 16.0))
110.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
33.0ms	(/ (* z t) 16.0)

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1583
1	413
0	156

prune767.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
0.0b	(/ (* a b) 4.0)
0.0b	(+ (* x y) (* z (/ t 16.0)))
0.0b	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

172.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
15.0ms	(/ (* a b) 4.0)
12.0ms	(+ (* x y) (* z (/ t 16.0)))
70.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series422.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
36.0ms	(/ (* a b) 4.0)
54.0ms	(+ (* x y) (* z (/ t 16.0)))
116.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1433
1	385
0	141

prune744.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b))) c)
0.0b	(+ (* x y) (* z (/ t 16.0)))
0.0b	(- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b)))
0.2b	(/ a (/ 4.0 b))

rewrite377.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
46×	`add-cube-cbrt`
20×	`add-log-exp`
13×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`sum-log`
5×	`div-inv`
4×	`pow1` `diff-log`
3×	`cbrt-undiv` `associate-+l+` `flip3-+` `div-exp` `flip-+` `associate-/l*` `difference-of-squares`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `associate-+l-` `flip--`

Counts

4 → 120

Calls

4 calls:

312.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b))) c)
6.0ms	(+ (* x y) (* z (/ t 16.0)))
43.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b)))
12.0ms	(/ a (/ 4.0 b))

series471.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b))) c)
68.0ms	(+ (* x y) (* z (/ t 16.0)))
121.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ a (/ 4.0 b)))
27.0ms	(/ a (/ 4.0 b))

simplify1.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5004
2	2175
1	637
0	246

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

197×	`add-sqr-sqrt`
193×	`cbrt-prod`
184×	`times-frac`
107×	`*-un-lft-identity` `add-cube-cbrt`
40×	`swap-sqr` `associate-r` `associate-l`
25×	`unswap-sqr`
16×	`add-exp-log`
11×	`pow1`
8×	`add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`pow1/3`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 202

Calls

4 calls:

100.0ms	(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series1.2s

Counts

4 → 12

Calls

4 calls:

366.0ms	(* (/ (cbrt a) (cbrt 4.0)) (/ (cbrt a) (cbrt 4.0)))
248.0ms	(cbrt a)
261.0ms	(cbrt a)
290.0ms	(cbrt a)

simplify2.4s

Counts

214 → 214

Iterations

Iter	Nodes
done	5001
2	2685
1	902
0	247

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes953.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11912×

body

valid