Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
17.0ms	256×	pre	80	true

simplify188.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	285
5	285
4	252
3	123
2	51
1	17
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 2 expressions with local error:

0.4b	(+ b (+ c d))
2.6b	(+ a (+ b (+ c d)))

rewrite87.0ms

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-+` `insert-posit16`

Counts

2 → 34

Calls

2 calls:

22.0ms	(+ b (+ c d))
64.0ms	(+ a (+ b (+ c d)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ b (+ c d))
44.0ms	(+ a (+ b (+ c d)))

simplify882.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	2001
3	2001
2	601
1	166
0	57

prune470.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize24.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite50.0ms

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-+` `insert-posit16`

Counts

1 → 18

Calls

1 calls:

50.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify963.0ms

Counts

21 → 21

Iterations

Iter	Nodes
done	2008
3	2008
2	525
1	110
0	41

prune214.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))

rewrite598.0ms

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` `insert-posit16`
3×	`+-commutative` `associate-+r+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 91

Calls

4 calls:

381.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
67.0ms	(+ a (+ (+ b c) d))
63.0ms	(+ a (+ (+ b c) d))
85.0ms	(+ a (+ (+ b c) d))

series228.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))))
39.0ms	(+ a (+ (+ b c) d))
45.0ms	(+ a (+ (+ b c) d))
46.0ms	(+ a (+ (+ b c) d))

simplify1.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	2000
2	2000
1	430
0	145

prune1.3s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 1.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
2.6b	(+ (+ a (+ b c)) d)
2.6b	(+ a (+ (+ b c) d))
2.6b	(+ a (+ (+ b c) d))

rewrite688.0ms

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` `insert-posit16`
3×	`+-commutative`
2×	`associate-+r+`
1×	`cbrt-prod` `associate-+l+` `pow1/3`

Counts

4 → 90

Calls

4 calls:

433.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
94.0ms	(+ (+ a (+ b c)) d)
71.0ms	(+ a (+ (+ b c) d))
86.0ms	(+ a (+ (+ b c) d))

series311.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ (+ a (+ b c)) d)))
39.0ms	(+ (+ a (+ b c)) d)
57.0ms	(+ a (+ (+ b c) d))
57.0ms	(+ a (+ (+ b c) d))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
done	2006
2	2006
1	561
0	177

prune1.3s

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 0.9b

regimes1.0s

Accuracy

0% (1.7b remaining)

Error of 2.7b against oracle of 1.0b and baseline of 2.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

544.0ms	8000×	pre	80	true
480.0ms	8000×	body	80	valid