Details

sample130.0ms

Algorithm

intervals

Results

64.0ms

583×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	29
1	43	29
2	96	29
3	290	29
4	969	29
done	5001	29

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.5b	(* x (- (* y z) (* t a)))
6.4b	(* b (- (* c z) (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
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:

15.0ms	(- (* c t) (* i y))
40.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
37.0ms	(* j (- (* c t) (* i y)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* c t) (* i y))
103.0ms	(* x (- (* y z) (* t a)))
105.0ms	(* b (- (* c z) (* i a)))
102.0ms	(* j (- (* c t) (* i y)))

simplify988.0ms

Counts

96 → 96

Iterations

Useful iterations: done (986.0ms)

Iter	Nodes	Cost
0	166	1155
1	457	1141
2	1784	1015
done	5001	1007

prune926.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.2b

localize65.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (* b c))
4.5b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* i a)))
6.5b	(* j (- (* c t) (* i y)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

29.0ms	(* z (* b c))
39.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* b (- (* i a)))
50.0ms	(* j (- (* c t) (* i y)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* z (* b c))
87.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* b (- (* i a)))
92.0ms	(* j (- (* c t) (* i y)))

simplify964.0ms

Counts

100 → 100

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	175	1001
1	475	983
2	1890	862
done	5001	852

prune700.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 2.3b

localize44.0ms

Local error

Found 4 expressions with local error:

3.0b	(* z (* b c))
4.5b	(* x (- (* y z) (* t a)))
4.5b	(* (- (* b i)) a)
6.5b	(* j (- (* c t) (* i y)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 88

Calls

4 calls:

34.0ms	(* z (* b c))
31.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* (- (* b i)) a)
45.0ms	(* j (- (* c t) (* i y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (* b c))
92.0ms	(* x (- (* y z) (* t a)))
47.0ms	(* (- (* b i)) a)
103.0ms	(* j (- (* c t) (* i y)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	177	1003
1	472	987
2	2017	861
done	5000	855

prune910.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 1.5b

localize116.0ms

Local error

Found 4 expressions with local error:

6.5b	(* j (- (* c t) (* i y)))
16.6b	(cbrt (* (- (* b i)) a))
16.6b	(cbrt (* (- (* b i)) a))
16.6b	(cbrt (* (- (* b i)) a))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

42.0ms	(* j (- (* c t) (* i y)))
13.0ms	(cbrt (* (- (* b i)) a))
12.0ms	(cbrt (* (- (* b i)) a))
12.0ms	(cbrt (* (- (* b i)) a))

series580.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* j (- (* c t) (* i y)))
162.0ms	(cbrt (* (- (* b i)) a))
137.0ms	(cbrt (* (- (* b i)) a))
166.0ms	(cbrt (* (- (* b i)) a))

simplify2.1s

Counts

63 → 63

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	104	743
1	263	731
2	826	645
3	3476	631
done	5000	598

prune616.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 1.5b

regimes2.7s

Accuracy

25.7% (7.7b remaining)

Error of 10.4b against oracle of 2.7b and baseline of 13.1b

bsearch450.0ms

Steps

Iters	Range		Point
11	6.867189454184288e+99	4.587148083635616e+119	5.679918969588786e+109
7	-1.7326486622990101e+41	-5.551911422724191e+39	-1.0994599011625377e+40

simplify21.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	48	107
1	89	76
2	110	76
3	111	76
done	111	76

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.7s

18889×

body

valid