Details

sample167.0ms

Algorithm

intervals

Results

111.0ms

597×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize92.0ms

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)))

rewrite143.0ms

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:

8.0ms	(- (* y z) (* t a))
48.0ms	(* b (- (* c z) (* t i)))
48.0ms	(* j (- (* c a) (* y i)))
37.0ms	(* x (- (* y z) (* t a)))

series363.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* y z) (* t a))
103.0ms	(* b (- (* c z) (* t i)))
115.0ms	(* j (- (* c a) (* y i)))
98.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5003
2	1405
1	457
0	170

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.6b

localize112.0ms

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))))

rewrite128.0ms

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:

52.0ms	(* x (- (* y z) (* t a)))
21.0ms	(cbrt (* j (- (* c a) (* y i))))
31.0ms	(cbrt (* j (- (* c a) (* y i))))
21.0ms	(cbrt (* j (- (* c a) (* y i))))

series696.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (- (* y z) (* t a)))
196.0ms	(cbrt (* j (- (* c a) (* y i))))
182.0ms	(cbrt (* j (- (* c a) (* y i))))
231.0ms	(cbrt (* j (- (* c a) (* y i))))

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3380
2	957
1	321
0	125

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.5b

localize83.0ms

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)))

rewrite94.0ms

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:

55.0ms	(* x (- (* y z) (* t a)))
20.0ms	(cbrt (* j (- (* c a) (* y i))))
11.0ms	(cbrt (* j (- (* c a) (* y i))))
6.0ms	(cbrt (- (* c a) (* y i)))

series599.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* x (- (* y z) (* t a)))
180.0ms	(cbrt (* j (- (* c a) (* y i))))
175.0ms	(cbrt (* j (- (* c a) (* y i))))
147.0ms	(cbrt (- (* c a) (* y i)))

simplify2.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	3998
2	1109
1	396
0	159

prune1.0s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 7.5b

localize65.0ms

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)))

rewrite251.0ms

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:

127.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
36.0ms	(* (cbrt b) (- (* c z) (* t i)))
47.0ms	(* j (- (* c a) (* y i)))
36.0ms	(* x (- (* y z) (* t a)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
424.0ms	(* (cbrt b) (- (* c z) (* t i)))
87.0ms	(* j (- (* c a) (* y i)))
102.0ms	(* x (- (* y z) (* t a)))

simplify2.3s

Counts

124 → 124

Iterations

Iter	Nodes
done	5005
2	2116
1	619
0	213

prune928.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.4b

regimes1.8s

Accuracy

34.3% (4.4b remaining)

Error of 9.3b against oracle of 4.9b and baseline of 11.6b

bsearch344.0ms

Steps

Iters	Range		Point
8	1.154372391860877e-152	6.24763834303226e-149	1.6011043676188824e-149
8	-1.3818332423819878e+76	-1.0281373548364284e+72	-3.4675246779790518e+72

simplify19.0ms

Iterations

Iter	Nodes
done	91
3	91
2	84
1	80
0	54

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.3s

19106×

body

valid