Details

sample91.0ms

Algorithm

intervals

Results

41.0ms

426×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 6 (3.7s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	319	18
4	853	18
5	1819	18
6	3993	16
done	5000	16

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.1b	(fma y (* x 9.0) b)
2.9b	(/ (fma y (* x 9.0) b) z)
11.0b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

30.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.0ms	(fma y (* x 9.0) b)
5.0ms	(/ (fma y (* x 9.0) b) z)
70.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series686.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
45.0ms	(fma y (* x 9.0) b)
88.0ms	(/ (fma y (* x 9.0) b) z)
278.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	2305
1	379	2243
2	1267	2063
done	5000	1986

prune739.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.2b	(/ 1 (/ z (fma y (* x 9.0) b)))
3.1b	(/ z (fma y (* x 9.0) b))
11.0b	(/ (- (/ 1 (/ z (fma y (* x 9.0) b))) (* (* a 4.0) t)) c)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `associate-/r*`
13×	`add-cbrt-cube`
9×	`div-exp` `associate-/l*`
7×	`div-inv`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-/r/` `flip--` `fma-udef` `inv-pow`

Counts

4 → 149

Calls

4 calls:

0.0ms	(fma y (* x 9.0) b)
10.0ms	(/ 1 (/ z (fma y (* x 9.0) b)))
5.0ms	(/ z (fma y (* x 9.0) b))
138.0ms	(/ (- (/ 1 (/ z (fma y (* x 9.0) b))) (* (* a 4.0) t)) c)

series457.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(fma y (* x 9.0) b)
71.0ms	(/ 1 (/ z (fma y (* x 9.0) b)))
52.0ms	(/ z (fma y (* x 9.0) b))
276.0ms	(/ (- (/ 1 (/ z (fma y (* x 9.0) b))) (* (* a 4.0) t)) c)

simplify3.3s

Counts

161 → 161

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	240	2995
1	510	2759
2	1291	2397
3	4948	2370
done	5000	2370

prune775.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.1b	(fma y (* x 9.0) b)
2.9b	(/ (fma y (* x 9.0) b) z)
11.0b	(* (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) (/ 1 c))

rewrite212.0ms

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` `log1p-expm1-u` `div-inv`
3×	`flip3--` `div-exp` `associate-l` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `associate-*l/` `cbrt-unprod`
1×	`sub-neg` `rec-exp` `frac-2neg` `diff-log` `1-exp` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef`

Counts

4 → 121

Calls

4 calls:

51.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.0ms	(fma y (* x 9.0) b)
5.0ms	(/ (fma y (* x 9.0) b) z)
145.0ms	(* (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) (/ 1 c))

series600.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
41.0ms	(fma y (* x 9.0) b)
100.0ms	(/ (fma y (* x 9.0) b) z)
227.0ms	(* (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.5s

Counts

133 → 133

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	195	2552
1	443	2400
2	1393	2166
done	5001	2107

prune856.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t))
0.2b	(* 9.0 (* x y))
2.9b	(/ (+ (* 9.0 (* x y)) b) z)
11.0b	(* (- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t)) (/ 1 c))

rewrite892.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`times-frac`
36×	`*-un-lft-identity`
35×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`fma-neg` `prod-diff`
11×	`pow1`
7×	`prod-exp`
6×	`associate-l` `add-log-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv`
3×	`flip3--` `div-exp` `associate-/r` `flip--` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `associate-l/` `-commutative` `associate-/l/`
1×	`sub-neg` `rec-exp` `frac-2neg` `flip3-+` `diff-log` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `flip-+`

Counts

4 → 133

Calls

4 calls:

283.0ms	(- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t))
33.0ms	(* 9.0 (* x y))
56.0ms	(/ (+ (* 9.0 (* x y)) b) z)
510.0ms	(* (- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t)) (/ 1 c))

series744.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t))
53.0ms	(* 9.0 (* x y))
113.0ms	(/ (+ (* 9.0 (* x y)) b) z)
301.0ms	(* (- (/ (+ (* 9.0 (* x y)) b) z) (* (* a 4.0) t)) (/ 1 c))

simplify1.5s

Counts

145 → 145

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	228	2785
1	557	2487
2	1846	2235
done	5001	2172

prune908.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.2b

regimes1.6s

Accuracy

65.5% (2.7b remaining)

Error of 8.5b against oracle of 5.9b and baseline of 13.6b

bsearch5.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	159
1	61	159
done	61	159

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.1s

12799×

body

valid