Details

sample223.0ms

Algorithm

intervals

Results

97.0ms

597×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize131.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.1b	(* b (- (* c z) (* t i)))
5.2b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite145.0ms

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:

10.0ms	(- (* y z) (* t a))
52.0ms	(* b (- (* c z) (* t i)))
37.0ms	(* j (- (* c a) (* y i)))
41.0ms	(* x (- (* y z) (* t a)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- (* y z) (* t a))
173.0ms	(* b (- (* c z) (* t i)))
158.0ms	(* j (- (* c a) (* y i)))
185.0ms	(* x (- (* y z) (* t a)))

simplify3.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1373
1	450
0	170

prune2.7s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

localize211.0ms

Local error

Found 4 expressions with local error:

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

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`flip3--` `insert-posit16` `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 → 61

Calls

4 calls:

51.0ms	(* x (- (* y z) (* t a)))
20.0ms	(cbrt (* j (- (* c a) (* y i))))
30.0ms	(cbrt (* j (- (* c a) (* y i))))
31.0ms	(cbrt (* j (- (* c a) (* y i))))

series1.5s

Counts

4 → 12

Calls

4 calls:

202.0ms	(* x (- (* y z) (* t a)))
433.0ms	(cbrt (* j (- (* c a) (* y i))))
487.0ms	(cbrt (* j (- (* c a) (* y i))))
397.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify5.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3359
2	950
1	323
0	125

prune2.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

localize282.0ms

Local error

Found 4 expressions with local error:

5.4b	(* x (- (* y z) (* t a)))
6.2b	(cbrt (* j (- (* c a) (* y i))))
6.2b	(cbrt (* j (- (* c a) (* y i))))
7.0b	(cbrt (- (* c a) (* y i)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `associate-*r/` `add-exp-log`
5×	`cbrt-prod`
4×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
3×	`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 → 63

Calls

4 calls:

56.0ms	(* x (- (* y z) (* t a)))
28.0ms	(cbrt (* j (- (* c a) (* y i))))
28.0ms	(cbrt (* j (- (* c a) (* y i))))
16.0ms	(cbrt (- (* c a) (* y i)))

series1.3s

Counts

4 → 12

Calls

4 calls:

129.0ms	(* x (- (* y z) (* t a)))
378.0ms	(cbrt (* j (- (* c a) (* y i))))
413.0ms	(cbrt (* j (- (* c a) (* y i))))
395.0ms	(cbrt (- (* c a) (* y i)))

simplify5.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	4002
2	1106
1	395
0	159

prune2.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

localize208.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
2.8b	(* (cbrt b) (- (* c z) (* t i)))
5.2b	(* j (- (* c a) (* y i)))
5.4b	(* x (- (* y z) (* t a)))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

157.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
49.0ms	(* (cbrt b) (- (* c z) (* t i)))
52.0ms	(* j (- (* c a) (* y i)))
47.0ms	(* x (- (* y z) (* t a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
621.0ms	(* (cbrt b) (- (* c z) (* t i)))
138.0ms	(* j (- (* c a) (* y i)))
150.0ms	(* x (- (* y z) (* t a)))

simplify4.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5013
2	2083
1	618
0	213

prune2.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.3b

regimes8.2s

Accuracy

19.9% (4.0b remaining)

Error of 11.2b against oracle of 7.2b and baseline of 12.2b

bsearch402.0ms

Steps

Iters	Range		Point
7	2.819572314745689e-192	4.76677914767364e-191	8.34714696233437e-192
8	-9.506026881368085e-139	-2.7429327642847162e-142	-1.8450960219107426e-139

simplify24.0ms

Iterations

Iter	Nodes
done	69
1	69
0	49

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

19106×

body

valid