Details

sample91.0ms

Algorithm

intervals

Results

49.0ms

425×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
0.1b	(fma (* y 9.0) x b)
4.4b	(/ (fma (* y 9.0) x b) z)
9.4b	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite90.0ms

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:

31.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
0.0ms	(fma (* y 9.0) x b)
8.0ms	(/ (fma (* y 9.0) x b) z)
49.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series615.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
44.0ms	(fma (* y 9.0) x b)
96.0ms	(/ (fma (* y 9.0) x b) z)
222.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1261
1	393
0	174

prune999.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.8b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
6.7b	(/ (* t a) c)
11.9b	(/ (* x y) (* z c))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
15×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`times-frac`
6×	`pow1`
5×	`associate-/r` `associate-r` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

25.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ b (* z c))
9.0ms	(/ (* t a) c)
12.0ms	(/ (* x y) (* z c))

series147.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 9.0 (/ (* x y) (* z c)))
25.0ms	(/ b (* z c))
29.0ms	(/ (* t a) c)
36.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5013
2	1934
1	436
0	172

prune873.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (* z c) y)
4.9b	(/ b (* z c))
6.4b	(/ x (/ (* z c) y))
6.7b	(/ (* t a) c)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 123

Calls

4 calls:

9.0ms	(/ (* z c) y)
7.0ms	(/ b (* z c))
7.0ms	(/ x (/ (* z c) y))
10.0ms	(/ (* t a) c)

series125.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z c) y)
29.0ms	(/ b (* z c))
44.0ms	(/ x (/ (* z c) y))
26.0ms	(/ (* t a) c)

simplify1.2s

Counts

135 → 135

Iterations

Iter	Nodes
done	5047
2	2039
1	513
0	210

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (* z c) y)
4.9b	(/ b (* z c))
5.2b	(/ t (/ c a))
6.4b	(/ x (/ (* z c) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 172

Calls

4 calls:

9.0ms	(/ (* z c) y)
7.0ms	(/ b (* z c))
6.0ms	(/ t (/ c a))
14.0ms	(/ x (/ (* z c) y))

series160.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (* z c) y)
24.0ms	(/ b (* z c))
42.0ms	(/ t (/ c a))
56.0ms	(/ x (/ (* z c) y))

simplify1.8s

Counts

184 → 184

Iterations

Iter	Nodes
done	5004
2	2843
1	754
0	309

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

regimes1.8s

Accuracy

68.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 9.7b

bsearch3.0ms

simplify26.0ms

Iterations

Iter	Nodes
done	77
1	77
0	59

end0.0ms

sample3.0s

Algorithm

intervals

Results

2.2s

13073×

body

valid