Details

sample182.0ms

Algorithm

intervals

Results

100.0ms

641×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c z) (* i a))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite139.0ms

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(- (* c z) (* i a))
40.0ms	(* x (- (* y z) (* t a)))
48.0ms	(* b (- (* c z) (* i a)))
38.0ms	(* j (- (* c t) (* i y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* c z) (* i a))
85.0ms	(* x (- (* y z) (* t a)))
86.0ms	(* b (- (* c z) (* i a)))
98.0ms	(* j (- (* c t) (* i y)))

simplify841.0ms

Counts

96 → 96

Iterations

Useful iterations: done (838.0ms)

Iter	Nodes	Cost
0	167	1155
1	460	1141
2	1862	1015
done	5001	1007

prune559.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.8b

localize34.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

28.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* j (- (* c t) (* i y)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* x (- (* y z) (* t a)))
101.0ms	(* x (- (* y z) (* t a)))
107.0ms	(* b (- (* c z) (* i a)))
96.0ms	(* j (- (* c t) (* i y)))

simplify794.0ms

Counts

108 → 108

Iterations

Useful iterations: done (790.0ms)

Iter	Nodes	Cost
0	156	1316
1	432	1304
2	1617	1160
done	5000	1144

prune593.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.6b

localize79.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

27.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* i a)))
38.0ms	(* j (- (* c t) (* i y)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* x (- (* y z) (* t a)))
87.0ms	(* x (- (* y z) (* t a)))
84.0ms	(* b (- (* c z) (* i a)))
97.0ms	(* j (- (* c t) (* i y)))

simplify830.0ms

Counts

108 → 108

Iterations

Useful iterations: done (826.0ms)

Iter	Nodes	Cost
0	156	1316
1	432	1304
2	1617	1160
done	5000	1144

prune836.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.6b

localize65.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* b (- (* c z) (* i a)))
5.9b	(* j (- (* c t) (* i y)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
4×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

39.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* i a)))
44.0ms	(* j (- (* c t) (* i y)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (- (* y z) (* t a)))
87.0ms	(* x (- (* y z) (* t a)))
97.0ms	(* b (- (* c z) (* i a)))
115.0ms	(* j (- (* c t) (* i y)))

simplify850.0ms

Counts

108 → 108

Iterations

Useful iterations: done (847.0ms)

Iter	Nodes	Cost
0	156	1316
1	432	1304
2	1617	1160
done	5000	1144

prune860.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 4.6b

regimes1.9s

Accuracy

34% (5.2b remaining)

Error of 9.1b against oracle of 3.9b and baseline of 11.8b

bsearch329.0ms

Steps

Iters	Range		Point
9	9.188042894218799e-45	1.3893141598284344e-37	4.46330882043812e-42
6	-6.585851053065174e+71	-5.434411440262679e+70	-5.803263597910156e+70

simplify22.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	45	127
1	77	96
2	93	96
done	93	96

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

19156×

body

valid