Details

sample76.0ms

Algorithm

intervals

Results

42.0ms

426×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 9.0) y b)
0.3b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
2.0b	(/ (fma (* x 9.0) y b) z)
10.6b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite107.0ms

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:

1.0ms	(fma (* x 9.0) y b)
44.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.0ms	(/ (fma (* x 9.0) y b) z)
54.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series750.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma (* x 9.0) y b)
367.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
109.0ms	(/ (fma (* x 9.0) y b) z)
211.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify2.0s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t))
0.3b	(/ 1 (/ z (fma (* x 9.0) y b)))
2.0b	(/ z (fma (* x 9.0) y b))
10.6b	(/ (- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t)) c)

rewrite279.0ms

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` `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 → 241

Calls

4 calls:

95.0ms	(- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t))
15.0ms	(/ 1 (/ z (fma (* x 9.0) y b)))
7.0ms	(/ z (fma (* x 9.0) y b))
141.0ms	(/ (- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t)) c)

series646.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t))
95.0ms	(/ 1 (/ z (fma (* x 9.0) y b)))
54.0ms	(/ z (fma (* x 9.0) y b))
267.0ms	(/ (- (/ 1 (/ z (fma (* x 9.0) y b))) (* (* a 4.0) t)) c)

simplify2.6s

Counts

253 → 253

Iterations

Iter	Nodes
done	5000
2	4314
1	748
0	294

prune2.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 9.0) y b)
2.0b	(/ (fma (* x 9.0) y b) z)
7.7b	(/ (/ (fma (* x 9.0) y b) z) c)
7.9b	(/ (* (* a 4.0) t) c)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
17×	`associate-/l*`
9×	`associate-/r*`
7×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
1×	`fma-udef` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
4.0ms	(/ (fma (* x 9.0) y b) z)
19.0ms	(/ (/ (fma (* x 9.0) y b) z) c)
20.0ms	(/ (* (* a 4.0) t) c)

series286.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma (* x 9.0) y b)
84.0ms	(/ (fma (* x 9.0) y b) z)
94.0ms	(/ (/ (fma (* x 9.0) y b) z) c)
34.0ms	(/ (* (* a 4.0) t) c)

simplify1.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	2702
1	560
0	239

prune1.6s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
2.0b	(/ (fma (* x 9.0) y b) z)
4.2b	(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
7.7b	(/ (/ (fma (* x 9.0) y b) z) c)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

105×	`times-frac`
77×	`add-sqr-sqrt`
69×	`*-un-lft-identity` `add-cube-cbrt`
52×	`add-exp-log`
39×	`add-cbrt-cube`
22×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
16×	`associate-/l*`
13×	`cbrt-prod`
8×	`div-inv`
6×	`pow1` `associate-/r*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt c)
8.0ms	(/ (fma (* x 9.0) y b) z)
78.0ms	(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
9.0ms	(/ (/ (fma (* x 9.0) y b) z) c)

series517.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt c)
93.0ms	(/ (fma (* x 9.0) y b) z)
82.0ms	(* (/ (* a 4.0) (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
69.0ms	(/ (/ (fma (* x 9.0) y b) z) c)

simplify1.2s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
1	899
0	326

prune1.9s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 1.5b

regimes2.8s

Accuracy

29.6% (4.6b remaining)

Error of 6.0b against oracle of 1.4b and baseline of 8.0b

bsearch192.0ms

Steps

Iters	Range		Point
3	4.272040299364558e-16	5.808149794101367e-16	4.43188042066514e-16
9	-3.127491740552882e+43	-5.902616574169364e+37	-8.569260933999675e+39

simplify15.0ms

Iterations

Iter	Nodes
done	45
1	45
0	37

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.0s

12837×

body

valid