Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

335×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4686
20	4333
19	3984
18	3625
17	3276
16	2923
15	2561
14	1997
13	1448
12	1088
11	777
10	527
9	358
8	284
7	211
6	171
5	129
4	82
3	44
2	24
1	15
0	9

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma (- z t) (/ y a) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma (- z t) (/ y a) x)

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma (- z t) (/ y a) x)

simplify2.1s

Counts

14 → 14

Iterations

Iter	Nodes
done	5004
4	1459
3	254
2	86
1	42
0	25

prune115.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.6b	(/ (* y (- z t)) a)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `associate-/r` `fma-def` `times-frac` `associate-l*` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

9.0ms	(+ x (/ (* y (- z t)) a))
38.0ms	(* y (- z t))
27.0ms	(/ (* y (- z t)) a)

series191.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ x (/ (* y (- z t)) a))
45.0ms	(* y (- z t))
80.0ms	(/ (* y (- z t)) a)

simplify2.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	4305
2	1152
1	436
0	173

prune492.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- z t) (/ a y)))
6.1b	(/ (- z t) (/ a y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
89×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `fma-def` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 123

Calls

2 calls:

49.0ms	(+ x (/ (- z t) (/ a y)))
25.0ms	(/ (- z t) (/ a y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(+ x (/ (- z t) (/ a y)))
55.0ms	(/ (- z t) (/ a y))

simplify1.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2042
1	668
0	225

prune643.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ z (/ a y)) (/ t (/ a y))))
0.0b	(- (/ z (/ a y)) (/ t (/ a y)))
3.5b	(/ t (/ a y))
3.7b	(/ z (/ a y))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

11894×	`times-frac`
6334×	`add-sqr-sqrt`
6331×	`*-un-lft-identity`
6298×	`add-cube-cbrt`
3872×	`prod-diff`
1938×	`associate-+r+`
722×	`div-inv`
181×	`associate-/r/`
44×	`fma-neg`
26×	`associate-/r*`
15×	`distribute-lft-out--`
14×	`add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
9×	`difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-rgt-out--` `diff-log` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

4 → 4127

Calls

4 calls:

498.0ms	(+ x (- (/ z (/ a y)) (/ t (/ a y))))
221.0ms	(- (/ z (/ a y)) (/ t (/ a y)))
9.0ms	(/ t (/ a y))
9.0ms	(/ z (/ a y))

series215.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (- (/ z (/ a y)) (/ t (/ a y))))
82.0ms	(- (/ z (/ a y)) (/ t (/ a y)))
36.0ms	(/ t (/ a y))
36.0ms	(/ z (/ a y))

simplify5.6s

Counts

4139 → 4139

Iterations

Iter	Nodes
done	5000
0	4378

prune37.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes786.0ms

Accuracy

58% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.5b

bsearch86.0ms

Steps

Iters	Range		Point
5	1.6092474117272988e-114	6.40551636908869e-114	4.6880760091351194e-114
8	-6.998697027516214e-59	-2.478274194542352e-61	-6.935188915578447e-59

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

609.0ms

10593×

body

valid