Details

sample174.0ms

Algorithm

intervals

Results

130.0ms

653×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	4056
5	1674
4	721
3	290
2	96
1	43
0	23

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
3.7b	(* j (- (* c t) (* i y)))
5.3b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* i a)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`associate-*r/`
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`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`associate--l+` `frac-sub` `insert-posit16` `associate--r+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 100

Calls

4 calls:

32.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
21.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* x (- (* y z) (* t a)))
21.0ms	(* b (- (* c z) (* i a)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
115.0ms	(* j (- (* c t) (* i y)))
91.0ms	(* x (- (* y z) (* t a)))
74.0ms	(* b (- (* c z) (* i a)))

simplify586.0ms

Counts

112 → 112

Iterations

Iter	Nodes
2	2117
1	594
0	208

prune2.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.5b

localize68.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
3.6b	(* (cbrt x) (- (* y z) (* t a)))
3.7b	(* j (- (* c t) (* i y)))
6.1b	(* b (- (* c z) (* i a)))

rewrite164.0ms

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` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

67.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
36.0ms	(* (cbrt x) (- (* y z) (* t a)))
24.0ms	(* j (- (* c t) (* i y)))
36.0ms	(* b (- (* c z) (* i a)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
374.0ms	(* (cbrt x) (- (* y z) (* t a)))
105.0ms	(* j (- (* c t) (* i y)))
103.0ms	(* b (- (* c z) (* i a)))

simplify3.0s

Counts

124 → 124

Iterations

Iter	Nodes
3	8024
2	1936
1	591
0	213

prune2.7s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.7b

localize74.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
6.0b	(* (* (- x) t) a)
6.1b	(* z (* x y))
6.1b	(* b (- (* c z) (* i a)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-lft-neg-out` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

28.0ms	(* j (- (* c t) (* i y)))
23.0ms	(* (* (- x) t) a)
16.0ms	(* z (* x y))
25.0ms	(* b (- (* c z) (* i a)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* j (- (* c t) (* i y)))
40.0ms	(* (* (- x) t) a)
37.0ms	(* z (* x y))
108.0ms	(* b (- (* c z) (* i a)))

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
3	6575
2	1522
1	473
0	186

prune1.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.2b

localize61.0ms

Local error

Found 4 expressions with local error:

3.7b	(* j (- (* c t) (* i y)))
5.3b	(* (* z x) y)
6.0b	(* (* (- x) t) a)
6.1b	(* b (- (* c z) (* i a)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-lft-neg-out` `flip3--` `flip--` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

22.0ms	(* j (- (* c t) (* i y)))
15.0ms	(* (* z x) y)
22.0ms	(* (* (- x) t) a)
38.0ms	(* b (- (* c z) (* i a)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* j (- (* c t) (* i y)))
37.0ms	(* (* z x) y)
34.0ms	(* (* (- x) t) a)
81.0ms	(* b (- (* c z) (* i a)))

simplify2.5s

Counts

101 → 101

Iterations

Iter	Nodes
3	6870
2	1588
1	485
0	188

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.2b

regimes2.0s

Accuracy

8.4% (5.7b remaining)

Error of 11.5b against oracle of 5.8b and baseline of 12.0b

bsearch656.0ms

Steps

Iters	Range		Point
8	1.555842040793816e+184	9.399555274025108e+187	9.229327516273808e+187
8	8.627867387177129e+64	2.5381914025638748e+67	1.4698479981983464e+66
9	-5.996379323043829e+44	-1.7952105981497217e+39	-1.8711162379413496e+44

simplify25.0ms

Iterations

Iter	Nodes
4	114
3	114
2	110
1	96
0	61

end0.0ms

sample6.5s

Algorithm

intervals

Results

5.2s

19219×

body

valid