Details

sample149.0ms

Algorithm

intervals

Results

76.0ms

573×

body

valid

simplify5.5s

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	677	29
5	1522	29
6	4421	29
done	5000	29

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.7b	(* x (- (* y z) (* t a)))
6.4b	(* b (- (* c z) (* i a)))
8.0b	(* j (- (* c t) (* i y)))

rewrite108.0ms

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:

8.0ms	(- (* c t) (* i y))
30.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* j (- (* c t) (* i y)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* c t) (* i y))
76.0ms	(* x (- (* y z) (* t a)))
96.0ms	(* b (- (* c z) (* i a)))
83.0ms	(* j (- (* c t) (* i y)))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (193.0ms)

Iter	Nodes	Cost
0	166	1155
1	424	1141
2	1218	1007
3	4429	1007
done	5000	1007

prune620.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.3b

localize52.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
6.0b	(* i (* j y))
6.4b	(* b (- (* c z) (* i a)))
6.8b	(* (* c t) j)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

29.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* i (* j y))
57.0ms	(* b (- (* c z) (* i a)))
35.0ms	(* (* c t) j)

series281.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* i (* j y))
111.0ms	(* b (- (* c z) (* i a)))
45.0ms	(* (* c t) j)

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	175	961
1	447	947
2	1443	807
done	5001	807

prune592.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize53.0ms

Local error

Found 4 expressions with local error:

4.7b	(* c (* t j))
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* i (* j y))
6.4b	(* b (- (* c z) (* i a)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

30.0ms	(* c (* t j))
50.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* i (* j y))
57.0ms	(* b (- (* c z) (* i a)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* c (* t j))
95.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* i (* j y))
93.0ms	(* b (- (* c z) (* i a)))

simplify1.3s

Counts

96 → 96

Iterations

Useful iterations: 2 (231.0ms)

Iter	Nodes	Cost
0	173	958
1	439	946
2	1398	806
done	5000	806

prune635.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

localize43.0ms

Local error

Found 4 expressions with local error:

4.7b	(* c (* t j))
4.7b	(* x (- (* y z) (* t a)))
5.0b	(* (* i j) y)
6.4b	(* b (- (* c z) (* i a)))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

32.0ms	(* c (* t j))
45.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* (* i j) y)
41.0ms	(* b (- (* c z) (* i a)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* c (* t j))
103.0ms	(* x (- (* y z) (* t a)))
37.0ms	(* (* i j) y)
114.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: 2 (260.0ms)

Iter	Nodes	Cost
0	175	961
1	447	947
2	1494	807
done	5000	807

prune507.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.4b

regimes1.3s

Accuracy

10.3% (8.4b remaining)

Error of 11.8b against oracle of 3.4b and baseline of 12.7b

bsearch745.0ms

Steps

Iters	Range		Point
10	2.610760928854144e+253	3.386644589850816e+269	2.6490666153897312e+253
9	-2.427745121287546e-254	-3.113888893808521e-261	-6.651508483195954e-258
9	-1.3844680013122537e-145	-5.917579345515265e-151	-1.0986076563338118e-146
7	-4.8089663841541e+98	-2.8520938882348484e+96	-9.929536798422279e+96

simplify24.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	60	176
1	97	174
2	116	174
3	117	174
done	117	174

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.0s

18917×

body

valid