Details

sample153.0ms

Algorithm

intervals

Results

79.0ms

602×

body

valid

simplify995.0ms

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	5000	29

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
4.5b	(* b (- (* c z) (* t i)))
5.0b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite106.0ms

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:

12.0ms	(- (* c a) (* y i))
27.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* j (- (* c a) (* y i)))
36.0ms	(* x (- (* y z) (* t a)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* c a) (* y i))
90.0ms	(* b (- (* c z) (* t i)))
88.0ms	(* j (- (* c a) (* y i)))
106.0ms	(* x (- (* y z) (* t a)))

simplify941.0ms

Counts

96 → 96

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	167	1155
1	460	1141
2	1870	1015
done	5000	1007

prune499.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.1b

localize69.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
5.8b	(cbrt (- (* c z) (* t i)))
5.8b	(cbrt (- (* c z) (* t i)))
5.8b	(cbrt (- (* c z) (* t i)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

28.0ms	(* x (- (* y z) (* t a)))
6.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))
9.0ms	(cbrt (- (* c z) (* t i)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (- (* y z) (* t a)))
139.0ms	(cbrt (- (* c z) (* t i)))
155.0ms	(cbrt (- (* c z) (* t i)))
143.0ms	(cbrt (- (* c z) (* t i)))

simplify2.8s

Counts

75 → 75

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	122	1115
1	326	1085
2	1056	998
3	4260	976
done	5001	928

prune751.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize76.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
6.2b	(cbrt (* b (- (* c z) (* t i))))
6.2b	(cbrt (* b (- (* c z) (* t i))))
6.2b	(cbrt (* b (- (* c z) (* t i))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

56.0ms	(* x (- (* y z) (* t a)))
22.0ms	(cbrt (* b (- (* c z) (* t i))))
20.0ms	(cbrt (* b (- (* c z) (* t i))))
14.0ms	(cbrt (* b (- (* c z) (* t i))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* x (- (* y z) (* t a)))
225.0ms	(cbrt (* b (- (* c z) (* t i))))
199.0ms	(cbrt (* b (- (* c z) (* t i))))
213.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify2.6s

Counts

69 → 69

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	123	1034
1	323	1010
2	1092	910
3	4643	892
done	5001	892

prune642.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 4.1b

localize53.0ms

Local error

Found 4 expressions with local error:

5.0b	(* j (- (* c a) (* y i)))
7.1b	(cbrt (- (* y z) (* t a)))
7.1b	(cbrt (- (* y z) (* t a)))
7.1b	(cbrt (- (* y z) (* t a)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

37.0ms	(* j (- (* c a) (* y i)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
22.0ms	(cbrt (- (* y z) (* t a)))

series587.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* j (- (* c a) (* y i)))
163.0ms	(cbrt (- (* y z) (* t a)))
176.0ms	(cbrt (- (* y z) (* t a)))
152.0ms	(cbrt (- (* y z) (* t a)))

simplify2.2s

Counts

75 → 75

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	122	1115
1	324	1085
2	1036	994
3	4092	976
done	5004	928

prune517.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 4.1b

regimes1.7s

Accuracy

38.7% (5.0b remaining)

Error of 9.1b against oracle of 4.1b and baseline of 12.3b

bsearch236.0ms

Steps

Iters	Range		Point
7	8.994039387879566e-38	1.0441760682803035e-35	4.140273813512067e-36
8	-1.8410053593774747e-55	-2.8162996609163686e-58	-4.2522231700636604e-58

simplify19.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	42	104
1	73	73
2	88	73
done	88	73

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.2s

19035×

body

valid