Details

sample86.0ms

Algorithm

intervals

Results

37.0ms

613×

body

valid

simplify103.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13
done	5001	13

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
2.9b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.5b	(* x (- (* y z) (* t a)))
6.5b	(* b (- (* c z) (* i a)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(- (* y z) (* t a))
0.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
26.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* i a)))

series817.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* y z) (* t a))
617.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
75.0ms	(* x (- (* y z) (* t a)))
75.0ms	(* b (- (* c z) (* i a)))

simplify50.0ms

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	373	645
1	1485	568
2	5001	568
done	5001	568

prune443.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.9b	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
5.5b	(* x (fma y z (- (* a t))))
6.5b	(* b (- (* c z) (* i a)))
50.5b	(fma (- a) t (* a t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
7.0ms	(* x (fma y z (- (* a t))))
26.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) t (* a t))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.5s	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
79.0ms	(* x (fma y z (- (* a t))))
71.0ms	(* b (- (* c z) (* i a)))
31.0ms	(fma (- a) t (* a t))

simplify45.0ms

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	624
1	1247	538
2	5001	538
done	5001	538

prune435.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (- (* c t) (* i y)) j)
5.5b	(* x (fma y z (- (* a t))))
6.5b	(* b (- (* c z) (* i a)))
50.5b	(fma (- a) t (* a t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

29.0ms	(* (- (* c t) (* i y)) j)
7.0ms	(* x (fma y z (- (* a t))))
27.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) t (* a t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- (* c t) (* i y)) j)
82.0ms	(* x (fma y z (- (* a t))))
80.0ms	(* b (- (* c z) (* i a)))
30.0ms	(fma (- a) t (* a t))

simplify51.0ms

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	388	526
1	1514	457
2	5002	457
done	5002	457

prune494.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

localize33.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (- (* c t) (* i y)))
5.5b	(* x (fma y z (- (* a t))))
6.5b	(* b (- (* c z) (* i a)))
50.5b	(fma (- a) t (* a t))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (- (* c t) (* i y)))
7.0ms	(* x (fma y z (- (* a t))))
30.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) t (* a t))

series333.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (- (* c t) (* i y)))
84.0ms	(* x (fma y z (- (* a t))))
77.0ms	(* b (- (* c z) (* i a)))
30.0ms	(fma (- a) t (* a t))

simplify52.0ms

Counts

87 → 87

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	443	532
1	1581	475
2	5001	469
done	5001	469

prune471.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.7b

regimes996.0ms

Accuracy

-5.7% (8.5b remaining)

Error of 13.0b against oracle of 4.5b and baseline of 12.6b

bsearch291.0ms

Steps

Iters	Range		Point
10	1.8630630711161328e+17	2.2901117330617206e+29	2.2590452378300304e+29
10	-6.448612751196e+233	-2.434886093241488e+218	-9.353869575251483e+222

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	38
1	64	38
2	64	38
done	64	38

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s

18800×

body

valid