Details

sample227.0ms

Algorithm

intervals

Results

144.0ms

647×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite101.0ms

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:

8.0ms	(- (* y z) (* t a))
24.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* b (- (* c z) (* i a)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* y z) (* t a))
92.0ms	(* x (- (* y z) (* t a)))
91.0ms	(* j (- (* c t) (* i y)))
108.0ms	(* b (- (* c z) (* i a)))

simplify1.1s

Counts

116 → 116

Iterations

Iter	Nodes
done	2000
3	2000
2	1630
1	527
0	203

prune2.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

localize79.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (- (* y z) (* t a)))
4.6b	(* j (- (* t c) (* y i)))
6.4b	(* b (- (* c z) (* i a)))
50.5b	(fma (- y) i (* y i))

rewrite81.0ms

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:

25.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* j (- (* t c) (* y i)))
25.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- y) i (* y i))

series362.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* x (- (* y z) (* t a)))
101.0ms	(* j (- (* t c) (* y i)))
110.0ms	(* b (- (* c z) (* i a)))
36.0ms	(fma (- y) i (* y i))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	2001
3	2001
2	1457
1	492
0	204

prune2.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.7b

localize68.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (- (* z y) (* a t)) x)
4.6b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))
49.5b	(fma (- a) t (* a t))

rewrite115.0ms

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×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
2×	`associate-*l/`
1×	`fma-udef`

Counts

4 → 92

Calls

4 calls:

48.0ms	(* (- (* z y) (* a t)) x)
39.0ms	(* j (- (* c t) (* i y)))
26.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) t (* a t))

series349.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- (* z y) (* a t)) x)
99.0ms	(* j (- (* c t) (* i y)))
113.0ms	(* b (- (* c z) (* i a)))
56.0ms	(fma (- a) t (* a t))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	2002
3	2002
2	1418
1	459
0	189

prune2.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.2b

localize101.0ms

Local error

Found 4 expressions with local error:

4.6b	(* j (- (* c t) (* i y)))
5.3b	(* (* c z) b)
5.8b	(* i (* (- a) b))
49.5b	(fma (- a) t (* a t))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l` `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/`
1×	`distribute-lft-neg-out` `flip3--` `distribute-rgt-neg-out` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

36.0ms	(* j (- (* c t) (* i y)))
16.0ms	(* (* c z) b)
23.0ms	(* i (* (- a) b))
1.0ms	(fma (- a) t (* a t))

series250.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* j (- (* c t) (* i y)))
40.0ms	(* (* c z) b)
36.0ms	(* i (* (- a) b))
51.0ms	(fma (- a) t (* a t))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	2000
3	2000
2	1248
1	401
0	162

prune2.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.8b

regimes2.8s

Accuracy

40.9% (4.2b remaining)

Error of 8.7b against oracle of 4.5b and baseline of 11.6b

bsearch886.0ms

Steps

Iters	Range		Point
9	2.1227198657006777e+53	1.1810158606532796e+61	5.584219814861132e+59
3	-1.4277059244388456e+103	-1.0535579290573978e+103	-1.0769421787687383e+103

simplify44.0ms

Iterations

Iter	Nodes
done	90
3	90
2	86
1	78
0	54

end0.0ms

sample6.4s

Algorithm

intervals

Results

5.1s

18944×

body

valid