Details

sample78.0ms

Algorithm

intervals

Results

39.0ms

413×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* y 9.0) x b)
0.5b	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
1.1b	(/ (fma (* y 9.0) x b) z)
11.2b	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite87.0ms

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` `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 → 111

Calls

4 calls:

0.0ms	(fma (* y 9.0) x b)
37.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
4.0ms	(/ (fma (* y 9.0) x b) z)
43.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series661.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(fma (* y 9.0) x b)
289.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
98.0ms	(/ (fma (* y 9.0) x b) z)
222.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1252
1	389
0	170

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ b (* z c))
6.5b	(/ (* t a) c)
8.1b	(/ (* x y) (* z c))

rewrite51.0ms

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` `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 → 100

Calls

4 calls:

23.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
8.0ms	(/ (* t a) c)
10.0ms	(/ (* x y) (* z c))

series151.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 9.0 (/ (* x y) (* z c)))
29.0ms	(/ b (* z c))
27.0ms	(/ (* t a) c)
40.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5034
2	1935
1	431
0	168

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ b (* z c))
7.0b	(* t (/ a c))
8.1b	(/ (* x y) (* z c))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

22.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
12.0ms	(* t (/ a c))
17.0ms	(/ (* x y) (* z c))

series178.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (/ (* x y) (* z c)))
34.0ms	(/ b (* z c))
32.0ms	(* t (/ a c))
51.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2011
1	486
0	188

prune936.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ (* z c) y)
5.3b	(/ b (* z c))
5.4b	(/ x (/ (* z c) y))
6.5b	(/ (* t a) c)

rewrite48.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 119

Calls

4 calls:

15.0ms	(/ (* z c) y)
9.0ms	(/ b (* z c))
10.0ms	(/ x (/ (* z c) y))
8.0ms	(/ (* t a) c)

series134.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* z c) y)
25.0ms	(/ b (* z c))
43.0ms	(/ x (/ (* z c) y))
42.0ms	(/ (* t a) c)

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	1994
1	509
0	206

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes2.6s

Accuracy

38.2% (6.1b remaining)

Error of 6.2b against oracle of 0.1b and baseline of 10.0b

bsearch3.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	63
1	63
0	48

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.5s

12811×

body

valid