Details

sample72.0ms

Algorithm

intervals

Results

33.0ms

439×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2653
4	985
3	320
2	100
1	38
0	18

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* x 9.0) y b)
0.4b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
2.7b	(/ (fma (* x 9.0) y b) z)
10.1b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite79.0ms

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 (* x 9.0) y b)
26.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.0ms	(/ (fma (* x 9.0) y b) z)
43.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series623.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma (* x 9.0) y b)
220.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
111.0ms	(/ (fma (* x 9.0) y b) z)
241.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* x 9.0) y b)
0.4b	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
2.8b	(* (fma (* x 9.0) y b) (/ 1 z))
10.1b	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

rewrite82.0ms

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-r`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`associate-/r` `div-exp` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `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-r/` `un-div-inv` `-commutative` `fma-udef`

Counts

4 → 96

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
21.0ms	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
19.0ms	(* (fma (* x 9.0) y b) (/ 1 z))
37.0ms	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

series624.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma (* x 9.0) y b)
244.0ms	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
90.0ms	(* (fma (* x 9.0) y b) (/ 1 z))
230.0ms	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

simplify2.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2352
1	448
0	181

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 9.0 (/ x (/ z y)) (/ b z))
0.4b	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
4.5b	(/ x (/ z y))
10.1b	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`clear-num` `frac-2neg` `flip3--` `fma-udef` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `associate--l+` `associate-/r/`

Counts

4 → 135

Calls

4 calls:

0.0ms	(fma 9.0 (/ x (/ z y)) (/ b z))
5.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
7.0ms	(/ x (/ z y))
22.0ms	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

series740.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma 9.0 (/ x (/ z y)) (/ b z))
258.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
29.0ms	(/ x (/ z y))
380.0ms	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

simplify1.9s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	2848
1	643
0	263

prune1.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.9b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))))
0.4b	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
4.5b	(/ x (/ z y))
10.1b	(/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
100×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`associate-/r*`
22×	`add-exp-log`
16×	`add-cbrt-cube`
12×	`associate-/r/`
11×	`div-exp` `div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `prod-diff`
2×	`rec-exp` `1-exp`
1×	`sub-neg` `diff-log` `associate--l+` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 210

Calls

4 calls:

25.0ms	(/ 1 (/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))))
10.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
15.0ms	(/ x (/ z y))
16.0ms	(/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)))

series881.0ms

Counts

4 → 12

Calls

4 calls:

453.0ms	(/ 1 (/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))))
244.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
36.0ms	(/ x (/ z y))
147.0ms	(/ c (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)))

simplify2.4s

Counts

222 → 222

Iterations

Iter	Nodes
done	5001
2	4188
1	908
0	364

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

regimes2.6s

Accuracy

61.3% (3.0b remaining)

Error of 7.0b against oracle of 3.9b and baseline of 11.8b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	66
1	66
0	46

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s

12738×

body

valid