Details

sample131.0ms

Algorithm

intervals

Results

96.0ms

552×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* t i))
4.9b	(* b (- (* c z) (* t i)))
5.2b	(* j (- (* c a) (* y i)))
5.6b	(* x (- (* y z) (* t a)))

rewrite134.0ms

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:

13.0ms	(- (* c z) (* t i))
47.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* j (- (* c a) (* y i)))
47.0ms	(* x (- (* y z) (* t a)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* c z) (* t i))
108.0ms	(* b (- (* c z) (* t i)))
83.0ms	(* j (- (* c a) (* y i)))
107.0ms	(* x (- (* y z) (* t a)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1425
1	458
0	170

prune967.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.1b

localize65.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (- (* y z) (* t a)))
6.5b	(cbrt (- (* c z) (* t i)))
6.5b	(cbrt (- (* c z) (* t i)))
6.5b	(cbrt (- (* c z) (* t i)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`flip3--` `insert-posit16` `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 → 67

Calls

4 calls:

25.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (- (* c z) (* t i)))
5.0ms	(cbrt (- (* c z) (* t i)))
5.0ms	(cbrt (- (* c z) (* t i)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (- (* y z) (* t a)))
171.0ms	(cbrt (- (* c z) (* t i)))
168.0ms	(cbrt (- (* c z) (* t i)))
139.0ms	(cbrt (- (* c z) (* t i)))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
3	3101
2	901
1	324
0	124

prune1.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.1b

localize87.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (- (* y z) (* t a)))
6.9b	(cbrt (* b (- (* c z) (* t i))))
6.9b	(cbrt (* b (- (* c z) (* t i))))
6.9b	(cbrt (* b (- (* c z) (* t i))))

rewrite77.0ms

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:

41.0ms	(* x (- (* y z) (* t a)))
9.0ms	(cbrt (* b (- (* c z) (* t i))))
9.0ms	(cbrt (* b (- (* c z) (* t i))))
16.0ms	(cbrt (* b (- (* c z) (* t i))))

series716.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* x (- (* y z) (* t a)))
209.0ms	(cbrt (* b (- (* c z) (* t i))))
183.0ms	(cbrt (* b (- (* c z) (* t i))))
193.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify2.3s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3348
2	949
1	321
0	125

prune1.0s

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 8.1b

localize104.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (cbrt b) (- (* c z) (* t i)))
3.1b	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
5.2b	(* j (- (* c a) (* y i)))
5.6b	(* x (- (* y z) (* t a)))

rewrite160.0ms

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:

37.0ms	(* (cbrt b) (- (* c z) (* t i)))
49.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
47.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (- (* y z) (* t a)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (cbrt b) (- (* c z) (* t i)))
164.0ms	(* (* (cbrt b) (cbrt b)) (* (cbrt b) (- (* c z) (* t i))))
98.0ms	(* j (- (* c a) (* y i)))
77.0ms	(* x (- (* y z) (* t a)))

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2051
1	619
0	213

prune1.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.1b

regimes2.3s

Accuracy

2.9% (3.5b remaining)

Error of 11.8b against oracle of 8.4b and baseline of 11.9b

bsearch247.0ms

Steps

Iters	Range		Point
9	8.22450786555401e-184	1.1192151260182481e-177	1.960703821127914e-183
5	-1.9840988162167595e-194	-9.024739532750021e-195	-1.5726372568800548e-194

simplify26.0ms

Iterations

Iter	Nodes
done	69
2	69
1	63
0	45

end0.0ms

sample5.6s

Algorithm

intervals

Results

4.4s

18737×

body

valid