Details

sample137.0ms

Algorithm

intervals

Results

87.0ms

568×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2724
4	907
3	333
2	110
1	47
0	23

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
3.7b	(* j (- (* c t) (* i y)))
6.7b	(* x (- (* y z) (* t a)))
6.8b	(* b (- (* c z) (* i a)))

rewrite138.0ms

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--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 104

Calls

4 calls:

19.0ms	(- (* c t) (* i y))
39.0ms	(* j (- (* c t) (* i y)))
37.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* b (- (* c z) (* i a)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* c t) (* i y))
94.0ms	(* j (- (* c t) (* i y)))
107.0ms	(* x (- (* y z) (* t a)))
142.0ms	(* b (- (* c z) (* i a)))

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1614
1	527
0	204

prune1.1s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.4b

localize69.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
4.7b	(* b (- (* i a)))
6.7b	(* x (- (* y z) (* t a)))
7.6b	(* b (* c z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

32.0ms	(* j (- (* c t) (* i y)))
13.0ms	(* b (- (* i a)))
30.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (* c z))

series303.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* j (- (* c t) (* i y)))
46.0ms	(* b (- (* i a)))
94.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* b (* c z))

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	1639
1	509
0	204

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.6b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* t c) (* i y))
2.9b	(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
6.3b	(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
6.7b	(* (- (* z y) (* t a)) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

10.0ms	(- (* t c) (* i y))
1.0ms	(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
1.0ms	(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
41.0ms	(* (- (* z y) (* t a)) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* t c) (* i y))
797.0ms	(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
360.0ms	(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
80.0ms	(* (- (* z y) (* t a)) x)

simplify3.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	3306
2	882
1	296
0	124

prune810.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

localize103.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* i a)))
6.7b	(* x (- (* y z) (* t a)))
7.6b	(* b (* c z))
50.3b	(fma (- y) i (* y i))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-r`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`sub-neg` `prod-diff` `associate-*r/` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3--` `distribute-rgt-neg-out` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

14.0ms	(* b (- (* i a)))
57.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* b (* c z))
0.0ms	(fma (- y) i (* y i))

series261.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* b (- (* i a)))
126.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* b (* c z))
37.0ms	(fma (- y) i (* y i))

simplify3.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	4987
2	1250
1	381
0	157

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.1b

regimes2.2s

Accuracy

0.7% (6.1b remaining)

Error of 12.0b against oracle of 6.0b and baseline of 12.1b

bsearch192.0ms

Steps

Iters	Range		Point
8	-1.7697347893402055e-274	-5.237683953594875e-278	-3.2644788703811975e-276

simplify15.0ms

Iterations

Iter	Nodes
done	86
3	86
2	82
1	70
0	44

end0.0ms

sample5.4s

Algorithm

intervals

Results

4.3s

19161×

body

valid