Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid

simplify238.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	249
6	249
5	248
4	240
3	145
2	53
1	20
0	8

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (+ (+ y x) (+ y x))))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+r+` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 23

Calls

1 calls:

353.0ms

(+ x (+ z (+ (+ y x) (+ y x))))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(+ x (+ z (+ (+ y x) (+ y x))))

simplify2.7s

Counts

26 → 26

Iterations

Iter	Nodes
done	5008
3	3484
2	514
1	136
0	53

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ y y) (* 3 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `associate-+l+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 13

Calls

1 calls:

47.0ms

(+ (+ y y) (* 3 x))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(+ (+ y y) (* 3 x))

simplify1.7s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
3	1616
2	399
1	100
0	33

prune91.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

rewrite247.0ms

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:

28.0ms	(cbrt (+ (+ y y) (* 3 x)))
28.0ms	(cbrt (+ (+ y y) (* 3 x)))
18.0ms	(cbrt (+ (+ y y) (* 3 x)))
169.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

series1.6s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt (+ (+ y y) (* 3 x)))
382.0ms	(cbrt (+ (+ y y) (* 3 x)))
385.0ms	(cbrt (+ (+ y y) (* 3 x)))
431.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2603
2	911
1	344
0	143

prune776.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.5b	(cbrt (+ (+ y y) (* 3 x)))
0.6b	(cbrt (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))))
0.6b	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

27.0ms	(cbrt (+ (+ y y) (* 3 x)))
33.0ms	(cbrt (+ (+ y y) (* 3 x)))
78.0ms	(cbrt (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))))
215.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt (+ (+ y y) (* 3 x)))
342.0ms	(cbrt (+ (+ y y) (* 3 x)))
514.0ms	(cbrt (* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x)))))
361.0ms	(* (cbrt (+ (+ y y) (* 3 x))) (cbrt (+ (+ y y) (* 3 x))))

simplify2.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5006
3	3356
2	1116
1	434
0	190

prune859.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample752.0ms

Algorithm

intervals

Results

433.0ms	7394×	body	80	valid
31.0ms	173×	body	1280	valid
28.0ms	199×	body	640	valid
13.0ms	123×	body	320	valid
8.0ms	35×	body	2560	valid
6.0ms	82×	body	160	valid