Details

sample82.0ms

Algorithm

intervals

Results

29.0ms

408×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune42.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma (* x 9.0) y b)
0.5b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
1.8b	(/ (fma (* x 9.0) y b) z)
11.6b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite105.0ms

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)
31.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
5.0ms	(/ (fma (* x 9.0) y b) z)
66.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series700.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(fma (* x 9.0) y b)
281.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
115.0ms	(/ (fma (* x 9.0) y b) z)
239.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify2.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.5b	(/ b (* z c))
5.7b	(/ (* t a) c)
9.0b	(/ (* x y) (* z c))

rewrite89.0ms

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:

48.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
12.0ms	(/ (* t a) c)
11.0ms	(/ (* x y) (* z c))

series237.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* 9.0 (/ (* x y) (* z c)))
48.0ms	(/ b (* z c))
28.0ms	(/ (* t a) c)
63.0ms	(/ (* x y) (* z c))

simplify1.7s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2482
1	439
0	168

prune951.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(* t (/ a c))
5.5b	(/ b (* z c))
9.0b	(/ (* x y) (* z c))

rewrite70.0ms

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:

23.0ms	(* 9.0 (/ (* x y) (* z c)))
13.0ms	(* t (/ a c))
12.0ms	(/ b (* z c))
15.0ms	(/ (* x y) (* z c))

series209.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 9.0 (/ (* x y) (* z c)))
43.0ms	(* t (/ a c))
45.0ms	(/ b (* z c))
48.0ms	(/ (* x y) (* z c))

simplify1.7s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2503
1	501
0	188

prune998.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
3.0b	(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
4.9b	(* t (/ a c))
9.0b	(/ (* x y) (* z c))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
42×	`add-exp-log`
39×	`times-frac`
35×	`add-cbrt-cube` `associate-r`
28×	`*-un-lft-identity` `add-cube-cbrt`
14×	`cbrt-prod` `prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `div-exp`
10×	`associate-l`
8×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow-prod-down` `associate-r/` `-commutative`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `associate-l/` `associate-/l*`

Counts

4 → 131

Calls

4 calls:

1.0ms	(cbrt b)
53.0ms	(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
31.0ms	(* t (/ a c))
20.0ms	(/ (* x y) (* z c))

series882.0ms

Counts

4 → 12

Calls

4 calls:

717.0ms	(cbrt b)
69.0ms	(* (/ (* (cbrt b) (cbrt b)) z) (/ (cbrt b) c))
46.0ms	(* t (/ a c))
50.0ms	(/ (* x y) (* z c))

simplify2.9s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	4813
1	768
0	250

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes2.3s

Accuracy

69.5% (3.8b remaining)

Error of 3.9b against oracle of 0.1b and baseline of 12.5b

bsearch5.0ms

simplify33.0ms

Iterations

Iter	Nodes
done	76
1	76
0	57

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.9s

12826×

body

valid