Details

sample49.0ms

Algorithm

intervals

Results

23.0ms

401×

body

valid

simplify5.6s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite330.0ms

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:

242.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms	(+ (* x y) (/ (* z t) 16.0))
68.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
8.0ms	(/ (* z t) 16.0)

series472.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
66.0ms	(+ (* x y) (/ (* z t) 16.0))
149.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
25.0ms	(/ (* z t) 16.0)

simplify1.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1417
1	383
0	142

prune661.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`*-un-lft-identity`
6×	`sum-log`
5×	`add-sqr-sqrt`
4×	`diff-log`
3×	`pow1` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
2×	`+-commutative` `sub-neg` `associate--l+` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`flip3--` `associate-+l-` `flip--` `difference-of-squares`

Counts

3 → 48

Calls

3 calls:

166.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
7.0ms	(+ (* x y) (* z (/ t 16.0)))
46.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series497.0ms

Counts

3 → 9

Calls

3 calls:

286.0ms	(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
75.0ms	(+ (* x y) (* z (/ t 16.0)))
136.0ms	(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify2.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5010
3	4680
2	1027
1	285
0	101

prune407.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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`
7×	`sum-log`
5×	`div-inv`
4×	`pow1` `flip3-+` `frac-add` `flip-+`
3×	`cbrt-undiv` `flip3--` `diff-log` `div-exp` `flip--` `associate-/l*` `difference-of-squares`
2×	`+-commutative` `associate-+r+` `sub-neg` `distribute-lft-out` `distribute-lft-out--`
1×	`associate-+l+` `clear-num` `associate-+r-` `frac-2neg` `associate-/r/`

Counts

4 → 121

Calls

4 calls:

31.0ms	(- c (/ b (/ 4.0 a)))
12.0ms	(+ (* x y) (* z (/ t 16.0)))
117.0ms	(+ (+ (* x y) (* z (/ t 16.0))) (- c (/ b (/ 4.0 a))))
8.0ms	(/ b (/ 4.0 a))

series416.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- c (/ b (/ 4.0 a)))
70.0ms	(+ (* x y) (* z (/ t 16.0)))
232.0ms	(+ (+ (* x y) (* z (/ t 16.0))) (- c (/ b (/ 4.0 a))))
27.0ms	(/ b (/ 4.0 a))

simplify2.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	2500
1	694
0	255

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
1.3b	(cbrt (+ (* x y) (* z (/ t 16.0))))
1.3b	(cbrt (+ (* x y) (* z (/ t 16.0))))
1.3b	(cbrt (+ (* x y) (* z (/ t 16.0))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

69.0ms	(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
7.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))
7.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))
8.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt (+ (* x y) (* z (/ t 16.0)))) (cbrt (+ (* x y) (* z (/ t 16.0)))))
262.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))
214.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))
228.0ms	(cbrt (+ (* x y) (* z (/ t 16.0))))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5044
3	2842
2	998
1	349
0	138

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes976.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s

11973×

body

valid