Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	165
1	17	165
2	53	165
3	146	165
4	300	165
5	445	165
6	481	165
done	481	165

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.7b	(+ a (+ b (+ c d)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

14.0ms	(+ b (+ c d))
66.0ms	(+ a (+ b (+ c d)))

series62.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ b (+ c d))
34.0ms	(+ a (+ b (+ c d)))

simplify2.3s

Counts

38 → 38

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	55	7237
1	166	6005
2	614	6005
3	3586	6005
done	5000	6005

prune260.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 1 expressions with local error:

2.7b	(+ a (+ (+ b c) d))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`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 → 17

Calls

1 calls:

89.0ms

(+ a (+ (+ b c) d))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(+ a (+ (+ b c) d))

simplify3.4s

Counts

20 → 20

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	40	4231
1	114	3510
2	552	3510
3	4777	3510
done	5000	3510

prune144.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.7b	(+ a (+ (+ b c) d))
2.7b	(+ a (+ (+ b c) d))
2.7b	(+ a (+ (+ b c) d))

rewrite747.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`+-commutative` `associate-+r+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

537.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
63.0ms	(+ a (+ (+ b c) d))
64.0ms	(+ a (+ (+ b c) d))
77.0ms	(+ a (+ (+ b c) d))

series237.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
53.0ms	(+ a (+ (+ b c) d))
55.0ms	(+ a (+ (+ b c) d))
55.0ms	(+ a (+ (+ b c) d))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	143	44166
1	437	35284
2	2472	35124
done	5001	33364

prune720.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 1.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
2.7b	(+ (+ a (+ b c)) d)
2.7b	(+ a (+ (+ b c) d))
2.7b	(+ a (+ (+ b c) d))

rewrite698.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`cbrt-div`
18×	`sum-log` `distribute-lft-out`
14×	`associate-*l/`
8×	`associate-*r/`
4×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`+-commutative`
2×	`associate-+r+`
1×	`cbrt-prod` `associate-+l+` `pow1/3`

Counts

4 → 86

Calls

4 calls:

405.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
115.0ms	(+ (+ a (+ b c)) d)
83.0ms	(+ a (+ (+ b c) d))
88.0ms	(+ a (+ (+ b c) d))

series237.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
33.0ms	(+ (+ a (+ b c)) d)
35.0ms	(+ a (+ (+ b c) d))
49.0ms	(+ a (+ (+ b c) d))

simplify2.8s

Counts

98 → 98

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	174	50422
1	577	39600
2	3264	39200
done	5000	38080

prune657.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes728.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	325
1	17	325
done	17	325

end0.0ms

sample1.1s

Algorithm

intervals

Results

426.0ms	8000×	body	80	valid
335.0ms	8000×	pre	80	true