Details

sample137.0ms

Algorithm

intervals

Results

76.0ms

574×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
5.1b	(* j (- (* c a) (* y i)))
5.7b	(* b (- (* c z) (* t i)))
7.6b	(* x (- (* y z) (* t a)))

rewrite110.0ms

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--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

7.0ms	(- (* y z) (* t a))
20.0ms	(* j (- (* c a) (* y i)))
40.0ms	(* b (- (* c z) (* t i)))
38.0ms	(* x (- (* y z) (* t a)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* y z) (* t a))
101.0ms	(* j (- (* c a) (* y i)))
89.0ms	(* b (- (* c z) (* t i)))
447.0ms	(* x (- (* y z) (* t a)))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5003
2	1438
1	457
0	166

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.8b

localize77.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (cbrt x) (- (* y z) (* t a)))
4.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
5.1b	(* j (- (* c a) (* y i)))
5.7b	(* b (- (* c z) (* t i)))

rewrite161.0ms

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` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

38.0ms	(* (cbrt x) (- (* y z) (* t a)))
57.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
31.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* b (- (* c z) (* t i)))

series797.0ms

Counts

4 → 12

Calls

4 calls:

412.0ms	(* (cbrt x) (- (* y z) (* t a)))
179.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
99.0ms	(* j (- (* c a) (* y i)))
107.0ms	(* b (- (* c z) (* t i)))

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2095
1	612
0	209

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.0b

localize92.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* x (- (* y z) (* t a))))
7.6b	(* x (- (* y z) (* t a)))
7.6b	(* x (- (* y z) (* t a)))
7.6b	(* x (- (* y z) (* t a)))

rewrite133.0ms

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

Counts

4 → 83

Calls

4 calls:

16.0ms	(cbrt (* x (- (* y z) (* t a))))
42.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* x (- (* y z) (* t a)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (* x (- (* y z) (* t a))))
120.0ms	(* x (- (* y z) (* t a)))
98.0ms	(* x (- (* y z) (* t a)))
109.0ms	(* x (- (* y z) (* t a)))

simplify2.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5075
3	2638
2	766
1	266
0	103

prune1.3s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.0b

localize98.0ms

Local error

Found 4 expressions with local error:

5.8b	(cbrt (* b (- (* c z) (* t i))))
5.8b	(cbrt (* b (- (* c z) (* t i))))
5.8b	(cbrt (* b (- (* c z) (* t i))))
7.6b	(* x (- (* y z) (* t a)))

rewrite61.0ms

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--` `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:

8.0ms	(cbrt (* b (- (* c z) (* t i))))
8.0ms	(cbrt (* b (- (* c z) (* t i))))
8.0ms	(cbrt (* b (- (* c z) (* t i))))
36.0ms	(* x (- (* y z) (* t a)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (* b (- (* c z) (* t i))))
202.0ms	(cbrt (* b (- (* c z) (* t i))))
205.0ms	(cbrt (* b (- (* c z) (* t i))))
82.0ms	(* x (- (* y z) (* t a)))

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	3365
2	960
1	323
0	123

prune870.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 8.0b

regimes2.7s

Accuracy

50.8% (3.0b remaining)

Error of 9.1b against oracle of 6.1b and baseline of 12.2b

bsearch325.0ms

Steps

Iters	Range		Point
8	1.0810603804529497e+47	1.3886496751537341e+51	4.9898137114277085e+50
8	-2.740569910188136e+66	-2.178231513432118e+63	-8.734842912893803e+65

simplify32.0ms

Iterations

Iter	Nodes
done	77
3	77
2	76
1	70
0	45

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.2s

19106×

body

valid