Details

sample241.0ms

Algorithm

intervals

Results

181.0ms

635×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	2003
4	907
3	333
2	110
1	47
0	23

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
3.2b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* c z) (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite99.0ms

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:

11.0ms	(- (* c t) (* i y))
24.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* j (- (* c t) (* i y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* c t) (* i y))
99.0ms	(* x (- (* y z) (* t a)))
113.0ms	(* b (- (* c z) (* i a)))
95.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	2000
3	2000
2	1615
1	527
0	204

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.2b

localize95.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* z c) (* a i)))
6.5b	(* j (- (* c t) (* i y)))
47.0b	(fma (- a) i (* a i))

rewrite102.0ms

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`
6×	`sub-neg` `prod-diff` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

30.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* z c) (* a i)))
40.0ms	(* j (- (* c t) (* i y)))
1.0ms	(fma (- a) i (* a i))

series357.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* x (- (* y z) (* t a)))
103.0ms	(* b (- (* z c) (* a i)))
106.0ms	(* j (- (* c t) (* i y)))
42.0ms	(fma (- a) i (* a i))

simplify1.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	2004
3	2004
2	1471
1	492
0	204

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.2b

localize101.0ms

Local error

Found 4 expressions with local error:

3.2b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* c z) (* i a)))
6.5b	(* (fma c t (- (* y i))) j)
49.7b	(fma (- y) i (* y i))

rewrite105.0ms

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/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`fma-udef`

Counts

4 → 90

Calls

4 calls:

45.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* b (- (* c z) (* i a)))
26.0ms	(* (fma c t (- (* y i))) j)
1.0ms	(fma (- y) i (* y i))

series381.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* x (- (* y z) (* t a)))
112.0ms	(* b (- (* c z) (* i a)))
118.0ms	(* (fma c t (- (* y i))) j)
46.0ms	(fma (- y) i (* y i))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	2001
3	2001
2	1299
1	432
0	182

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.9b

localize90.0ms

Local error

Found 4 expressions with local error:

5.5b	(* c (* j t))
6.1b	(* j (* y i))
6.5b	(* b (- (* c z) (* i a)))
49.7b	(fma (- y) i (* y i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
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/`
1×	`flip3--` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

19.0ms	(* c (* j t))
18.0ms	(* j (* y i))
34.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- y) i (* y i))

series284.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* c (* j t))
62.0ms	(* j (* y i))
124.0ms	(* b (- (* c z) (* i a)))
43.0ms	(fma (- y) i (* y i))

simplify1.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	2020
3	2020
2	1102
1	362
0	155

prune991.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.0b

regimes2.5s

Accuracy

-7.3% (6.5b remaining)

Error of 12.1b against oracle of 5.6b and baseline of 11.7b

bsearch801.0ms

Steps

Iters	Range		Point
10	3.133124810475992e-71	3.0462576432347054e-57	8.631973115792552e-67
8	3.6031421502204844e-281	2.7073647827100682e-278	4.999298010517163e-281
7	-8.111565759057827e-169	-2.1129840316825e-170	-1.2743838771657712e-169

simplify17.0ms

Iterations

Iter	Nodes
done	84
1	84
0	59

end0.0ms

sample7.1s

Algorithm

intervals

Results

5.3s

19002×

body

valid