Details

sample119.0ms

Algorithm

intervals

Results

70.0ms

568×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize41.0ms

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)))

rewrite109.0ms

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:

9.0ms	(- (* c t) (* i y))
30.0ms	(* j (- (* c t) (* i y)))
29.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* b (- (* c z) (* i a)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* c t) (* i y))
124.0ms	(* j (- (* c t) (* i y)))
103.0ms	(* x (- (* y z) (* t a)))
117.0ms	(* b (- (* c z) (* i a)))

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1614
1	527
0	204

prune1.3s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.4b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-l`
12×	`associate-r`
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-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 104

Calls

4 calls:

39.0ms	(* j (- (* c t) (* i y)))
12.0ms	(* (- (* i a)) b)
37.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* (* c z) b)

series314.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* j (- (* c t) (* i y)))
57.0ms	(* (- (* i a)) b)
89.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* (* c z) b)

simplify1.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5003
2	1733
1	523
0	204

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.6b

localize57.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
5.5b	(* (- i) (* a b))
6.7b	(* x (- (* y z) (* t a)))
7.6b	(* (* c z) b)

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

42.0ms	(* j (- (* c t) (* i y)))
41.0ms	(* (- i) (* a b))
56.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* (* c z) b)

series350.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* j (- (* c t) (* i y)))
46.0ms	(* (- i) (* a b))
122.0ms	(* x (- (* y z) (* t a)))
50.0ms	(* (* c z) b)

simplify1.5s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1780
1	565
0	217

prune1.4s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.4b

localize68.0ms

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)

rewrite56.0ms

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:

19.0ms	(- (* 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))
34.0ms	(* (- (* z y) (* t a)) x)

series1.5s

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (* t c) (* i y))
896.0ms	(fma (- (* t c) (* i y)) j (fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x)))
358.0ms	(fma (- (* i a) (* z c)) b (* (- (* z y) (* t a)) x))
98.0ms	(* (- (* z y) (* t a)) x)

simplify3.0s

Counts

74 → 74

Iterations

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

prune837.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.0b

regimes2.3s

Accuracy

20.9% (4.6b remaining)

Error of 10.7b against oracle of 6.1b and baseline of 11.9b

bsearch393.0ms

Steps

Iters	Range	Point
4	2.5818820091859228e+125	4.992175743651905e+125	3.48607342233028e+125
9	-3.211540686274867e-289	-1.3861816678623882e-295	-4.028168201093351e-290
3	-9.059429162236524e-79	-6.610426928645608e-79	-8.906366522637092e-79

Iters

Range

Point

2.5818820091859228e+125

4.992175743651905e+125

3.48607342233028e+125

-3.211540686274867e-289

-1.3861816678623882e-295

-4.028168201093351e-290

-9.059429162236524e-79

-6.610426928645608e-79

-8.906366522637092e-79

simplify468.0ms

Iterations

Iter	Nodes
done	98
3	98
2	94
1	81
0	52

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.7s

19161×

body

valid