Details

sample176.0ms

Algorithm

intervals

Results

84.0ms

589×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2726
4	907
3	333
2	110
1	47
0	23

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
3.6b	(* x (- (* y z) (* t a)))
4.3b	(* b (- (* c z) (* t i)))
4.6b	(* j (- (* c a) (* y i)))

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

19.0ms	(- (* c a) (* y i))
416.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* j (- (* c a) (* y i)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* c a) (* y i))
125.0ms	(* x (- (* y z) (* t a)))
113.0ms	(* b (- (* c z) (* t i)))
121.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1579
1	526
0	200

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.7b

localize82.0ms

Local error

Found 4 expressions with local error:

3.6b	(* x (- (* y z) (* t a)))
4.3b	(* (- (* c z) (* i t)) b)
4.6b	(* j (- (* c a) (* y i)))
49.7b	(fma (- i) t (* i t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

23.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* (- (* c z) (* i t)) b)
21.0ms	(* j (- (* c a) (* y i)))
0.0ms	(fma (- i) t (* i t))

series295.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (- (* y z) (* t a)))
94.0ms	(* (- (* c z) (* i t)) b)
81.0ms	(* j (- (* c a) (* y i)))
33.0ms	(fma (- i) t (* i t))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1477
1	464
0	186

prune1.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.7b

localize142.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (- (* c a) (* y i)))
5.8b	(cbrt (- (* c a) (* y i)))
5.8b	(cbrt (- (* c a) (* y i)))
49.7b	(fma (- i) t (* i t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`fma-udef`

Counts

4 → 55

Calls

4 calls:

8.0ms	(cbrt (- (* c a) (* y i)))
7.0ms	(cbrt (- (* c a) (* y i)))
9.0ms	(cbrt (- (* c a) (* y i)))
1.0ms	(fma (- i) t (* i t))

series543.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- (* c a) (* y i)))
147.0ms	(cbrt (- (* c a) (* y i)))
199.0ms	(cbrt (- (* c a) (* y i)))
43.0ms	(fma (- i) t (* i t))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5007
3	1678
2	558
1	211
0	87

prune1.3s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 6.7b

localize84.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.6b	(* x (- (* y z) (* t a)))
4.3b	(* (- (* c z) (* i t)) b)
49.7b	(fma (- i) t (* i t))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
15×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
6×	`sub-neg` `prod-diff` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`associate-*l/` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

76.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
24.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* (- (* c z) (* i t)) b)
0.0ms	(fma (- i) t (* i t))

series399.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
100.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* (- (* c z) (* i t)) b)
33.0ms	(fma (- i) t (* i t))

simplify1.9s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1999
1	583
0	212

prune1.1s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 6.2b

regimes3.5s

Accuracy

0% (5.2b remaining)

Error of 12.6b against oracle of 7.4b and baseline of 12.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	43
1	43
0	30

end0.0ms

sample4.6s

Algorithm

intervals

Results

3.4s

19225×

body

valid