Details

sample169.0ms

Algorithm

intervals

Results

122.0ms

641×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	2500
4	907
3	333
2	110
1	47
0	23

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.5b	(* b (- (* c z) (* i a)))
4.2b	(* x (- (* y z) (* t a)))
4.5b	(* j (- (* c t) (* i y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

37.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
21.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (- (* y z) (* t a)))
20.0ms	(* j (- (* c t) (* i y)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
90.0ms	(* b (- (* c z) (* i a)))
94.0ms	(* x (- (* y z) (* t a)))
98.0ms	(* j (- (* c t) (* i y)))

simplify702.0ms

Counts

128 → 128

Iterations

Iter	Nodes
2	2460
1	691
0	247

prune2.3s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 5.7b

localize57.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* i a)))
4.2b	(* (- (* z y) (* a t)) x)
4.5b	(* j (- (* c t) (* i y)))
46.3b	(fma (- a) t (* a t))

rewrite61.0ms

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/` `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 → 88

Calls

4 calls:

21.0ms	(* b (- (* c z) (* i a)))
19.0ms	(* (- (* z y) (* a t)) x)
20.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma (- a) t (* a t))

series299.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* b (- (* c z) (* i a)))
85.0ms	(* (- (* z y) (* a t)) x)
98.0ms	(* j (- (* c t) (* i y)))
29.0ms	(fma (- a) t (* a t))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
3	4695
2	1312
1	438
0	185

prune2.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 5.7b

localize71.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (- (* z y) (* a t)) x)
4.5b	(* j (- (* c t) (* i y)))
46.3b	(fma (- a) t (* a t))
49.0b	(fma (- a) i (* a i))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

34.0ms	(* (- (* z y) (* a t)) x)
20.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma (- a) t (* a t))
0.0ms	(fma (- a) i (* a i))

series263.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- (* z y) (* a t)) x)
98.0ms	(* j (- (* c t) (* i y)))
38.0ms	(fma (- a) t (* a t))
41.0ms	(fma (- a) i (* a i))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
3	3486
2	959
1	313
0	138

prune1.8s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.7b

localize79.0ms

Local error

Found 4 expressions with local error:

4.5b	(* j (fma c t (- (* y i))))
46.3b	(fma (- a) t (* a t))
49.0b	(fma (- a) i (* a i))
49.1b	(fma (- y) i (* y i))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

5.0ms	(* j (fma c t (- (* y i))))
0.0ms	(fma (- a) t (* a t))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- y) i (* y i))

series223.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* j (fma c t (- (* y i))))
33.0ms	(fma (- a) t (* a t))
35.0ms	(fma (- a) i (* a i))
29.0ms	(fma (- y) i (* y i))

simplify2.5s

Counts

64 → 64

Iterations

Iter	Nodes
4	6369
3	1214
2	328
1	146
0	87

prune1.6s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 5.7b

regimes2.4s

Accuracy

0% (3.6b remaining)

Error of 11.2b against oracle of 7.7b and baseline of 11.2b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
3	54
2	54
1	52
0	34

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.3s

19072×

body

valid