Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

496×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1844
4	493
3	171
2	52
1	21
0	11

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.2b	(* (* y 4.0) (- (* z z) t))

rewrite72.0ms

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` `log1p-expm1-u` `flip--`
2×	`fma-neg` `diff-log` `associate-*r/` `difference-of-squares`
1×	`associate-l` `*-commutative`

Counts

3 → 78

Calls

3 calls:

14.0ms	(- (* z z) t)
14.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
40.0ms	(* (* y 4.0) (- (* z z) t))

series257.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- (* z z) t)
117.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
101.0ms	(* (* y 4.0) (- (* z z) t))

simplify2.7s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2917
1	480
0	148

prune561.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (- (* (- (* z z) t) (* y 4.0))))
6.2b	(* (- (* z z) t) (* y 4.0))
6.2b	(* (- (* z z) t) (* y 4.0))
56.9b	(fma (- (- (* z z) t)) (* y 4.0) (* (- (* z z) t) (* y 4.0)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `associate-r` `*-commutative` `fma-udef` `flip--` `difference-of-squares`

Counts

4 → 66

Calls

4 calls:

1.0ms	(fma x x (- (* (- (* z z) t) (* y 4.0))))
55.0ms	(* (- (* z z) t) (* y 4.0))
58.0ms	(* (- (* z z) t) (* y 4.0))
0.0ms	(fma (- (- (* z z) t)) (* y 4.0) (* (- (* z z) t) (* y 4.0)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma x x (- (* (- (* z z) t) (* y 4.0))))
62.0ms	(* (- (* z z) t) (* y 4.0))
62.0ms	(* (- (* z z) t) (* y 4.0))
99.0ms	(fma (- (- (* z z) t)) (* y 4.0) (* (- (* z z) t) (* y 4.0)))

simplify1.2s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	814
1	214
0	88

prune539.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.5b

localize51.0ms

Local error

Found 4 expressions with local error:

4.3b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(* (* y 4.0) (- (* z z) t))
6.2b	(* (* y 4.0) (- (* z z) t))
6.2b	(* (* y 4.0) (- (* z z) t))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

18.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
31.0ms	(* (* y 4.0) (- (* z z) t))
33.0ms	(* (* y 4.0) (- (* z z) t))
35.0ms	(* (* y 4.0) (- (* z z) t))

series496.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
89.0ms	(* (* y 4.0) (- (* z z) t))
90.0ms	(* (* y 4.0) (- (* z z) t))
91.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.4s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2222
1	411
0	144

prune890.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.5b

localize47.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
6.8b	(cbrt (- (* z z) t))
6.8b	(cbrt (- (* z z) t))
6.8b	(cbrt (- (* z z) t))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-*l/`
12×	`cbrt-prod`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 104

Calls

4 calls:

311.0ms	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
5.0ms	(cbrt (- (* z z) t))
8.0ms	(cbrt (- (* z z) t))
11.0ms	(cbrt (- (* z z) t))

series565.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
156.0ms	(cbrt (- (* z z) t))
171.0ms	(cbrt (- (* z z) t))
123.0ms	(cbrt (- (* z z) t))

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1672
1	508
0	176

prune662.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.5b

regimes1.4s

Accuracy

85.2% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 6.0b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	41
2	41
1	33
0	24

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.6s

15655×

body

valid