Details

sample128.0ms

Algorithm

intervals

Results

95.0ms

612×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2003
5	1898
4	721
3	290
2	96
1	43
0	23

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
4.4b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))
7.3b	(* x (- (* y z) (* t a)))

rewrite103.0ms

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`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

11.0ms	(- (* y z) (* t a))
33.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* j (- (* c t) (* i y)))
31.0ms	(* x (- (* y z) (* t a)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (* y z) (* t a))
82.0ms	(* b (- (* c z) (* i a)))
94.0ms	(* j (- (* c t) (* i y)))
94.0ms	(* x (- (* y z) (* t a)))

simplify761.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2001
2	1409
1	457
0	170

prune885.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.1b

localize49.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (* c z) b)
4.5b	(* (- (* i a)) b)
5.9b	(* j (- (* c t) (* i y)))
7.3b	(* x (- (* y z) (* t a)))

rewrite96.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `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 → 92

Calls

4 calls:

21.0ms	(* (* c z) b)
12.0ms	(* (- (* i a)) b)
27.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* x (- (* y z) (* t a)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* c z) b)
31.0ms	(* (- (* i a)) b)
95.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* x (- (* y z) (* t a)))

simplify685.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2002
2	1622
1	484
0	179

prune802.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.2b

localize47.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (- (* i a)) b)
5.6b	(* c (* z b))
5.9b	(* j (- (* c t) (* i y)))
7.3b	(* x (- (* y z) (* t a)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `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 → 92

Calls

4 calls:

9.0ms	(* (- (* i a)) b)
13.0ms	(* c (* z b))
27.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* x (- (* y z) (* t a)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (* i a)) b)
31.0ms	(* c (* z b))
91.0ms	(* j (- (* c t) (* i y)))
89.0ms	(* x (- (* y z) (* t a)))

simplify732.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2001
2	1567
1	476
0	180

prune985.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.7b

localize50.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (- (* i a)) b)
5.6b	(* c (* z b))
5.8b	(* x (* z y))
5.9b	(* j (- (* c t) (* i y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`associate-l`
14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3--` `flip--`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (- (* i a)) b)
13.0ms	(* c (* z b))
18.0ms	(* x (* z y))
22.0ms	(* j (- (* c t) (* i y)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* i a)) b)
30.0ms	(* c (* z b))
38.0ms	(* x (* z y))
85.0ms	(* j (- (* c t) (* i y)))

simplify660.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2001
2	1410
1	420
0	161

prune662.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.3b

regimes1.7s

Accuracy

23% (6.8b remaining)

Error of 10.1b against oracle of 3.3b and baseline of 12.1b

bsearch713.0ms

Steps

Iters	Range		Point
9	4.44915996730621e-25	1.439200668983491e-17	5.00542406503329e-24
8	6.954788132230559e-274	1.821222224236282e-271	1.2995606612721459e-272
8	-8.493795219116887e-237	-2.454889076325788e-240	-3.0526732160857206e-237
8	-2.489619113132291e+50	-2.771512546983395e+46	-3.7660897539695966e+46

simplify51.0ms

Iterations

Iter	Nodes
done	115
3	115
2	109
1	99
0	64

end0.0ms

sample5.8s

Algorithm

intervals

Results

4.2s

18858×

body

valid