Details

sample125.0ms

Algorithm

intervals

Results

71.0ms

614×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (202.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	909	27
5	2811	27
done	5000	27

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
5.3b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
17×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`frac-add`
11×	`add-cube-cbrt` `sub-neg` `*-un-lft-identity` `prod-diff`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-+l+` `associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+r+` `associate--l+`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 129

Calls

4 calls:

91.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
27.0ms	(* x (- (* y z) (* t a)))
31.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* b (- (* c z) (* i a)))

series958.0ms

Counts

4 → 12

Calls

4 calls:

739.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
74.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))

simplify2.3s

Counts

141 → 141

Iterations

Useful iterations: 2 (800.0ms)

Iter	Nodes	Cost
0	317	4255
1	1068	3841
2	4987	3677
done	5000	3677

prune831.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.7b

localize38.0ms

Local error

Found 4 expressions with local error:

5.3b	(* x (- (* y z) (* t a)))
5.4b	(* i (* j y))
5.7b	(* t (* j c))
6.1b	(* b (- (* c z) (* i a)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

30.0ms	(* x (- (* y z) (* t a)))
19.0ms	(* i (* j y))
16.0ms	(* t (* j c))
27.0ms	(* b (- (* c z) (* i a)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* i (* j y))
27.0ms	(* t (* j c))
75.0ms	(* b (- (* c z) (* i a)))

simplify1.6s

Counts

108 → 108

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	196	1094
1	469	1082
2	1454	936
done	5001	936

prune589.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.3b

localize45.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* i j) y)
5.3b	(* x (- (* y z) (* t a)))
5.7b	(* t (* j c))
6.1b	(* b (- (* c z) (* i a)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

20.0ms	(* (* i j) y)
27.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* t (* j c))
57.0ms	(* b (- (* c z) (* i a)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* i j) y)
81.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* t (* j c))
84.0ms	(* b (- (* c z) (* i a)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	198	1097
1	477	1083
2	1547	937
done	5000	937

prune665.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 2.3b

localize50.0ms

Local error

Found 4 expressions with local error:

6.1b	(* b (- (* c z) (* i a)))
17.5b	(cbrt (* t (* j c)))
17.5b	(cbrt (* t (* j c)))
17.5b	(cbrt (* t (* j c)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

39.0ms	(* b (- (* c z) (* i a)))
17.0ms	(cbrt (* t (* j c)))
29.0ms	(cbrt (* t (* j c)))
17.0ms	(cbrt (* t (* j c)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* b (- (* c z) (* i a)))
105.0ms	(cbrt (* t (* j c)))
120.0ms	(cbrt (* t (* j c)))
113.0ms	(cbrt (* t (* j c)))

simplify1.5s

Counts

73 → 73

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	115	799
1	262	787
2	708	706
3	2397	690
done	5000	638

prune524.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.3b

regimes1.8s

Accuracy

-6.5% (11.5b remaining)

Error of 13.7b against oracle of 2.2b and baseline of 13.0b

bsearch600.0ms

Steps

Iters	Range	Point
8	8.060896398054864e-154	3.43469544659718e-151	2.1978434101708112e-153
9	-2.554785272041434e-233	-2.0111148242063684e-238	-6.366729464959375e-234
11	-4.569456121637971e+190	-2.9231030613043965e+160	-9.805899685618635e+181

Iters

Range

Point

8.060896398054864e-154

3.43469544659718e-151

2.1978434101708112e-153

-2.554785272041434e-233

-2.0111148242063684e-238

-6.366729464959375e-234

-4.569456121637971e+190

-2.9231030613043965e+160

-9.805899685618635e+181

simplify34.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	53	132
1	96	98
2	117	98
3	118	98
done	118	98

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.9s

19133×

body

valid