Details

sample149.0ms

Algorithm

intervals

Results

89.0ms

660×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize50.0ms

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))))
5.0b	(* x (- (* y z) (* t a)))
5.7b	(* b (- (* c z) (* i a)))
6.0b	(* j (- (* c t) (* i y)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

65.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
23.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* i a)))
21.0ms	(* j (- (* c t) (* i y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

777.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
92.0ms	(* x (- (* y z) (* t a)))
89.0ms	(* b (- (* c z) (* i a)))
82.0ms	(* j (- (* c t) (* i y)))

simplify3.3s

Counts

119 → 119

Iterations

Iter	Nodes
done	5007
2	4779
1	997
0	275

prune1.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.7b

localize76.0ms

Local error

Found 4 expressions with local error:

6.0b	(* j (- (* c t) (* i y)))
6.1b	(cbrt (* j (- (* c t) (* i y))))
6.1b	(cbrt (* j (- (* c t) (* i y))))
6.1b	(cbrt (* j (- (* c t) (* i y))))

rewrite49.0ms

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--` `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 → 57

Calls

4 calls:

21.0ms	(* j (- (* c t) (* i y)))
9.0ms	(cbrt (* j (- (* c t) (* i y))))
9.0ms	(cbrt (* j (- (* c t) (* i y))))
9.0ms	(cbrt (* j (- (* c t) (* i y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

106.0ms	(* j (- (* c t) (* i y)))
181.0ms	(cbrt (* j (- (* c t) (* i y))))
749.0ms	(cbrt (* j (- (* c t) (* i y))))
193.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify1.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5009
3	2567
2	759
1	264
0	103

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.7b

localize121.0ms

Local error

Found 4 expressions with local error:

6.1b	(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
8.0b	(cbrt (- (* c t) (* i y)))
8.0b	(cbrt (- (* c t) (* i y)))
8.0b	(cbrt (- (* c t) (* i y)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 74

Calls

4 calls:

151.0ms	(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
5.0ms	(cbrt (- (* c t) (* i y)))
4.0ms	(cbrt (- (* c t) (* i y)))
5.0ms	(cbrt (- (* c t) (* i y)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (* (* j (* (cbrt (- (* c t) (* i y))) (cbrt (- (* c t) (* i y))))) (cbrt (- (* c t) (* i y)))))
130.0ms	(cbrt (- (* c t) (* i y)))
129.0ms	(cbrt (- (* c t) (* i y)))
129.0ms	(cbrt (- (* c t) (* i y)))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5010
3	2439
2	1031
1	448
0	196

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.7b

localize96.0ms

Local error

Found 4 expressions with local error:

5.7b	(* b (- (* c z) (* i a)))
8.0b	(cbrt (- (* c t) (* i y)))
8.0b	(cbrt (- (* c t) (* i y)))
8.0b	(cbrt (- (* c t) (* i y)))

rewrite71.0ms

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--` `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 → 63

Calls

4 calls:

36.0ms	(* b (- (* c z) (* i a)))
18.0ms	(cbrt (- (* c t) (* i y)))
8.0ms	(cbrt (- (* c t) (* i y)))
8.0ms	(cbrt (- (* c t) (* i y)))

series638.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* b (- (* c z) (* i a)))
193.0ms	(cbrt (- (* c t) (* i y)))
155.0ms	(cbrt (- (* c t) (* i y)))
192.0ms	(cbrt (- (* c t) (* i y)))

simplify1.8s

Counts

75 → 75

Iterations

Iter	Nodes
done	5012
3	2977
2	905
1	325
0	122

prune770.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 3.7b

regimes3.3s

Accuracy

31.9% (6.1b remaining)

Error of 9.7b against oracle of 3.6b and baseline of 12.5b

bsearch361.0ms

Steps

Iters	Range		Point
8	1.8305277383771853e+136	4.40621416577772e+140	6.630197526137252e+136
7	-0.04616736282220315	-0.002877769547504494	-0.010182364183445083

simplify10.0ms

Iterations

Iter	Nodes
done	65
1	65
0	46

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.9s

19294×

body

valid