Details

sample126.0ms

Algorithm

intervals

Results

75.0ms

569×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	569
1	43	569
2	96	569
3	290	569
4	950	569
done	5000	569

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite103.0ms

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	(- (* c t) (* i y))
26.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* b (- (* c z) (* i a)))
45.0ms	(* x (- (* y z) (* t a)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c t) (* i y))
82.0ms	(* j (- (* c t) (* i y)))
96.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* x (- (* y z) (* t a)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	166	21661
1	456	20174
2	1781	20014
done	5001	19694

prune1.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.1b

localize114.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite121.0ms

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:

13.0ms	(cbrt (* x (- (* y z) (* t a))))
31.0ms	(* x (- (* y z) (* t a)))
38.0ms	(* x (- (* y z) (* t a)))
35.0ms	(* x (- (* y z) (* t a)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (* x (- (* y z) (* t a))))
72.0ms	(* x (- (* y z) (* t a)))
81.0ms	(* x (- (* y z) (* t a)))
92.0ms	(* x (- (* y z) (* t a)))

simplify2.0s

Counts

95 → 95

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	103	24203
1	266	22945
2	864	22385
3	3517	22225
done	5000	21695

prune1.2s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.1b

localize135.0ms

Local error

Found 4 expressions with local error:

5.5b	(cbrt (* x (- (* y z) (* t a))))
5.5b	(cbrt (* x (- (* y z) (* t a))))
6.5b	(* x (- (* y z) (* t a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

16.0ms	(cbrt (* x (- (* y z) (* t a))))
16.0ms	(cbrt (* x (- (* y z) (* t a))))
43.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* x (- (* y z) (* t a)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (* x (- (* y z) (* t a))))
223.0ms	(cbrt (* x (- (* y z) (* t a))))
123.0ms	(* x (- (* y z) (* t a)))
101.0ms	(* x (- (* y z) (* t a)))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	103	23794
1	266	22606
2	864	22126
3	3517	21806
done	5000	20746

prune1.3s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 8.1b

localize113.0ms

Local error

Found 4 expressions with local error:

3.3b	(* (cbrt x) (- (* y z) (* t a)))
3.4b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))

rewrite177.0ms

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:

25.0ms	(* (cbrt x) (- (* y z) (* t a)))
87.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
27.0ms	(* j (- (* c t) (* i y)))
35.0ms	(* b (- (* c z) (* i a)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

382.0ms	(* (cbrt x) (- (* y z) (* t a)))
147.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
104.0ms	(* j (- (* c t) (* i y)))
93.0ms	(* b (- (* c z) (* i a)))

simplify2.4s

Counts

120 → 120

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	209	36588
1	618	34599
2	3202	34239
done	5003	28079

prune1.2s

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 6.2b

regimes3.3s

Accuracy

8.9% (4.6b remaining)

Error of 12.0b against oracle of 7.4b and baseline of 12.5b

bsearch150.0ms

Steps

Iters	Range		Point
7	8.215161490639778e-161	9.057925172271956e-159	6.505647406761651e-159

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	1100
1	55	1100
2	63	1100
done	63	1100

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.8s

19189×

body

valid