Details

sample115.0ms

Algorithm

intervals

Results

54.0ms

602×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* z y) (* t a))
4.9b	(* (- (* a i) (* z c)) b)
5.6b	(* j (- (* t c) (* i y)))
6.5b	(* (- (* z y) (* t a)) x)

rewrite85.0ms

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(- (* z y) (* t a))
31.0ms	(* (- (* a i) (* z c)) b)
27.0ms	(* j (- (* t c) (* i y)))
19.0ms	(* (- (* z y) (* t a)) x)

series370.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* z y) (* t a))
100.0ms	(* (- (* a i) (* z c)) b)
110.0ms	(* j (- (* t c) (* i y)))
99.0ms	(* (- (* z y) (* t a)) x)

simplify969.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
2	1777
1	422
0	157

prune950.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.5b

localize75.0ms

Local error

Found 4 expressions with local error:

3.7b	(* a (* b i))
5.0b	(* b (* z c))
5.6b	(* j (- (* t c) (* i y)))
6.5b	(* (- (* z y) (* t a)) x)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

18.0ms	(* a (* b i))
13.0ms	(* b (* z c))
25.0ms	(* j (- (* t c) (* i y)))
23.0ms	(* (- (* z y) (* t a)) x)

series217.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* a (* b i))
29.0ms	(* b (* z c))
87.0ms	(* j (- (* t c) (* i y)))
74.0ms	(* (- (* z y) (* t a)) x)

simplify629.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1747
1	444
0	167

prune872.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.8b

localize47.0ms

Local error

Found 4 expressions with local error:

3.7b	(* a (* b i))
4.7b	(* z (* c b))
5.6b	(* j (- (* t c) (* i y)))
6.5b	(* (- (* z y) (* t a)) x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

21.0ms	(* a (* b i))
21.0ms	(* z (* c b))
20.0ms	(* j (- (* t c) (* i y)))
28.0ms	(* (- (* z y) (* t a)) x)

series223.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* a (* b i))
27.0ms	(* z (* c b))
90.0ms	(* j (- (* t c) (* i y)))
66.0ms	(* (- (* z y) (* t a)) x)

simplify672.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1816
1	444
0	167

prune858.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.3b

localize98.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (cbrt a) (cbrt a)) (* b (* i (cbrt a))))
4.7b	(* z (* c b))
5.6b	(* j (- (* t c) (* i y)))
6.5b	(* (- (* z y) (* t a)) x)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
26×	`add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `associate-l/` `associate-r/` `flip--` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

82.0ms	(* (* (cbrt a) (cbrt a)) (* b (* i (cbrt a))))
17.0ms	(* z (* c b))
36.0ms	(* j (- (* t c) (* i y)))
26.0ms	(* (- (* z y) (* t a)) x)

series294.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (* (cbrt a) (cbrt a)) (* b (* i (cbrt a))))
27.0ms	(* z (* c b))
114.0ms	(* j (- (* t c) (* i y)))
82.0ms	(* (- (* z y) (* t a)) x)

simplify1.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5001
2	2288
1	524
0	185

prune982.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.1b

regimes3.1s

Accuracy

1.5% (8.3b remaining)

Error of 11.9b against oracle of 3.7b and baseline of 12.1b

bsearch643.0ms

Steps

Iters	Range		Point
8	4.740938689732888e+101	9.716414952062424e+104	3.351495691018442e+104
9	4.575339323483851e-172	2.0374722462428666e-165	1.0785483061682174e-171
4	-6.792546918375267e-184	-3.5987005349896095e-184	-5.851479915422898e-184
7	-1.538650230966023e-86	-3.065190218088604e-88	-9.125714986291682e-87

simplify16.0ms

Iterations

Iter	Nodes
done	127
3	127
2	116
1	106
0	67

end0.0ms

sample6.3s

Algorithm

intervals

Results

4.1s

19160×

body

valid