Details

sample50.0ms

Algorithm

intervals

Results

20.0ms

340×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	31	9
3	57	9
4	89	9
5	114	9
6	133	9
7	154	9
8	190	9
9	245	9
10	273	9
11	300	9
12	341	9
13	354	9
14	370	9
15	386	9
16	473	9
17	564	9
18	812	9
19	1138	9
20	1568	9
21	1651	9
22	1656	9
done	1656	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.6b	(* (/ x y) (- z t))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

40.0ms	(+ (* (/ x y) (- z t)) t)
29.0ms	(* (/ x y) (- z t))

series142.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* (/ x y) (- z t)) t)
82.0ms	(* (/ x y) (- z t))

simplify2.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	120	727
1	314	701
2	980	625
3	3598	619
done	5001	619

prune238.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt y)
277.0ms	(cbrt x)
245.0ms	(cbrt x)
334.0ms	(cbrt x)

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	42	260
1	71	244
2	144	220
3	298	208
4	773	208
5	2577	208
done	5001	208

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ y x)) t)
6.9b	(/ (- z t) (/ y x))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

85.0ms	(+ (/ (- z t) (/ y x)) t)
40.0ms	(/ (- z t) (/ y x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (/ (- z t) (/ y x)) t)
49.0ms	(/ (- z t) (/ y x))

simplify1.7s

Counts

120 → 120

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	217	1896
1	592	1776
2	1842	1686
done	5001	1678

prune387.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ t (/ y x)) t)
4.8b	(/ t (/ y x))
5.1b	(/ z (/ y x))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
96×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
87×	`add-cube-cbrt`
26×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `difference-of-squares`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 156

Calls

3 calls:

61.0ms	(- (/ t (/ y x)) t)
13.0ms	(/ t (/ y x))
13.0ms	(/ z (/ y x))

series99.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (/ t (/ y x)) t)
31.0ms	(/ t (/ y x))
24.0ms	(/ z (/ y x))

simplify1.3s

Counts

165 → 165

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	271	1997
1	578	1846
2	1736	1766
done	5000	1758

prune524.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

41.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch119.0ms

Steps

Iters	Range		Point
8	6.51165442780848e-52	2.5722646923733512e-48	2.5403768849171997e-48
8	-3.819675869960162e+32	-5.937076841674776e+27	-1.5878348927688877e+28

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	41
1	31	41
done	31	41

end0.0ms

sample1.2s

Algorithm

intervals

Results

537.0ms

10613×

body

valid