Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

397×

body

valid

simplify133.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	93	13
4	108	13
5	109	13
done	109	13

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.9b	(* (* a z) b)

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

27.0ms	(+ (+ x (* y z)) (* t a))
134.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms	(* (* a z) b)

series208.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (+ x (* y z)) (* t a))
105.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
37.0ms	(* (* a z) b)

simplify860.0ms

Counts

54 → 54

Iterations

Useful iterations: done (859.0ms)

Iter	Nodes	Cost
0	99	734
1	276	682
2	1242	598
done	5001	590

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (* a z) b)
10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

18.0ms	(* (* a z) b)
13.0ms	(cbrt (* (* a z) b))
21.0ms	(cbrt (* (* a z) b))
17.0ms	(cbrt (* (* a z) b))

series436.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a z) b)
133.0ms	(cbrt (* (* a z) b))
130.0ms	(cbrt (* (* a z) b))
131.0ms	(cbrt (* (* a z) b))

simplify6.0s

Counts

57 → 57

Iterations

Useful iterations: 4 (4.7s)

Iter	Nodes	Cost
0	76	525
1	179	505
2	621	427
3	2079	409
4	4954	379
done	5001	379

prune261.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

18.0ms	(cbrt (* (* a z) b))
14.0ms	(cbrt (* (* a z) b))
26.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))

series507.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (* (* a z) b))
116.0ms	(cbrt (* (* a z) b))
120.0ms	(cbrt (* (* a z) b))
148.0ms	(cbrt (* (* a z) b))

simplify2.5s

Counts

48 → 48

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	48	496
1	105	484
2	261	428
3	755	412
4	2056	356
done	5000	348

prune264.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))
10.7b	(cbrt (* (* a z) b))
11.1b	(cbrt (* a z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

18.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))
20.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* a z))

series431.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (* (* a z) b))
131.0ms	(cbrt (* (* a z) b))
100.0ms	(cbrt (* (* a z) b))
89.0ms	(cbrt (* a z))

simplify1.7s

Counts

48 → 48

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	65	458
1	142	447
2	337	396
3	921	377
4	2370	327
done	5001	320

prune370.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes336.0ms

Accuracy

82.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.1b

bsearch82.0ms

Steps

Iters	Range		Point
9	6.238119299815474e+118	2.5560167260369036e+125	6.324662990263947e+118
3	-5.697631814876105e-29	-4.160333268533682e-29	-4.53934499841231e-29

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	49
1	37	37
done	37	37

end0.0ms

sample1.9s

Algorithm

intervals

Results

930.0ms

11932×

body

valid