Details

sample103.0ms

Algorithm

intervals

Results

67.0ms

427×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1681
4	803
3	296
2	98
1	38
0	18

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.9b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* y 9.0) x b)
0.3b	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.7b	(/ (fma (* y 9.0) x b) z)
8.0b	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`fma-neg` `prod-diff`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 115

Calls

4 calls:

1.0ms	(fma (* y 9.0) x b)
40.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
5.0ms	(/ (fma (* y 9.0) x b) z)
40.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series670.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma (* y 9.0) x b)
235.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
88.0ms	(/ (fma (* y 9.0) x b) z)
279.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1298
1	392
0	174

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0))
0.3b	(/ 1 (/ z (fma (* y 9.0) x b)))
2.8b	(/ z (fma (* y 9.0) x b))
8.0b	(/ (- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0)) c)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
132×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
44×	`fma-neg` `prod-diff`
19×	`associate-/r*` `add-exp-log`
15×	`div-inv`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 245

Calls

4 calls:

28.0ms	(- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0))
12.0ms	(/ 1 (/ z (fma (* y 9.0) x b)))
4.0ms	(/ z (fma (* y 9.0) x b))
60.0ms	(/ (- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0)) c)

series826.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0))
108.0ms	(/ 1 (/ z (fma (* y 9.0) x b)))
85.0ms	(/ z (fma (* y 9.0) x b))
343.0ms	(/ (- (/ 1 (/ z (fma (* y 9.0) x b))) (* (* a t) 4.0)) c)

simplify2.1s

Counts

257 → 257

Iterations

Iter	Nodes
done	5001
2	2087
1	747
0	298

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* y 9.0) x b)
0.3b	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.7b	(/ (fma (* y 9.0) x b) z)
8.0b	(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`times-frac`
35×	`*-un-lft-identity`
34×	`add-cube-cbrt`
15×	`add-exp-log`
13×	`fma-neg` `associate-r` `prod-diff`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`associate-/r` `flip3--` `div-exp` `associate-l` `flip--` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `associate-*l/` `cbrt-unprod`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `diff-log` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef`

Counts

4 → 125

Calls

4 calls:

0.0ms	(fma (* y 9.0) x b)
37.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
6.0ms	(/ (fma (* y 9.0) x b) z)
67.0ms	(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

series674.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma (* y 9.0) x b)
238.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
109.0ms	(/ (fma (* y 9.0) x b) z)
254.0ms	(* (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) (/ 1 c))

simplify3.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	4741
2	1403
1	466
0	199

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 9.0 x) y b)
0.3b	(- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0))
2.8b	(* (/ 1 z) (fma (* 9.0 x) y b))
8.0b	(/ (- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0)) c)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
15×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`fma-udef`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `div-exp` `associate-r` `associate-/l` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `flip3--` `associate--l+` `cbrt-unprod` `div-inv` `flip--` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `1-exp` `div-sub` `prod-diff` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 103

Calls

4 calls:

1.0ms	(fma (* 9.0 x) y b)
25.0ms	(- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0))
16.0ms	(* (/ 1 z) (fma (* 9.0 x) y b))
41.0ms	(/ (- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0)) c)

series865.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma (* 9.0 x) y b)
264.0ms	(- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0))
104.0ms	(* (/ 1 z) (fma (* 9.0 x) y b))
429.0ms	(/ (- (* (/ 1 z) (fma (* 9.0 x) y b)) (* (* a t) 4.0)) c)

simplify2.1s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1554
1	459
0	190

prune823.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.1b

regimes1.4s

Accuracy

81.2% (1.5b remaining)

Error of 5.2b against oracle of 3.7b and baseline of 11.8b

bsearch3.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	69
1	69
0	54

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.0s

12662×

body

valid