Details

sample91.0ms

Algorithm

intervals

Results

48.0ms

533×

body

valid

simplify8.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4088
6	1776
5	748
4	361
3	169
2	51
1	21
0	11

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize86.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

16×	`prod-diff`
11×	`add-sqr-sqrt`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-log-exp`
6×	`sub-neg`
4×	`associate-r`
3×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`fma-neg` `diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 81

Calls

3 calls:

30.0ms	(- (* z z) t)
36.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
151.0ms	(* (* y 4.0) (- (* z z) t))

series405.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* z z) t)
188.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
162.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1334
1	449
0	151

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

localize70.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
3.6b	(* (* y 4.0) (- (* z z) t))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

9×	`prod-diff`
8×	`add-sqr-sqrt`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `difference-of-squares`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative`

Counts

2 → 54

Calls

2 calls:

37.0ms	(- (* z z) t)
145.0ms	(* (* y 4.0) (- (* z z) t))

series199.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* z z) t)
152.0ms	(* (* y 4.0) (- (* z z) t))

simplify8.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	4084
2	950
1	319
0	110

prune924.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.5b

localize211.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* y 4.0) (- (* z z) t))
4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `associate-*r/`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `flip3--` `associate-r` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

116.0ms	(* (* y 4.0) (- (* z z) t))
64.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
53.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
82.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (* y 4.0) (- (* z z) t))
338.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
394.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
434.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify9.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	4687
2	1147
1	396
0	146

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.5b

localize334.0ms

Local error

Found 4 expressions with local error:

4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
4.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
4.0b	(cbrt (* (* (cbrt (* (* y 4.0) (- (* z z) t))) (cbrt (* (* y 4.0) (- (* z z) t)))) (cbrt (* (* y 4.0) (- (* z z) t)))))

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
68×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
4×	`cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

70.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
74.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
68.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
368.0ms	(cbrt (* (* (cbrt (* (* y 4.0) (- (* z z) t))) (cbrt (* (* y 4.0) (- (* z z) t)))) (cbrt (* (* y 4.0) (- (* z z) t)))))

series2.2s

Counts

4 → 12

Calls

4 calls:

971.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
380.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
423.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
450.0ms	(cbrt (* (* (cbrt (* (* y 4.0) (- (* z z) t))) (cbrt (* (* y 4.0) (- (* z z) t)))) (cbrt (* (* y 4.0) (- (* z z) t)))))

simplify7.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
4	3728
3	1250
2	534
1	303
0	170

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.5b

regimes4.0s

Accuracy

84.8% (0.5b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 6.0b

bsearch2.0ms

simplify36.0ms

Iterations

Iter	Nodes
done	53
3	53
2	49
1	34
0	21

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

15991×

body

valid