Details

sample71.0ms

Algorithm

intervals

Results

28.0ms

430×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (4.2s)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.3b	(fma y (* x 9.0) b)
3.9b	(/ (fma y (* x 9.0) b) z)
6.8b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite96.0ms

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:

27.0ms	(- (/ (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)
60.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series490.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
35.0ms	(fma y (* x 9.0) b)
69.0ms	(/ (fma y (* x 9.0) b) z)
202.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.4s

Counts

123 → 123

Iterations

Useful iterations: done (1.4s)

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

prune620.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.5b	(/ (* t a) c)
5.0b	(/ b (* z c))
9.2b	(/ (* x y) (* z c))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
14.0ms	(/ (* t a) c)
14.0ms	(/ b (* z c))
15.0ms	(/ (* x y) (* z c))

series231.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
26.0ms	(/ (* t a) c)
30.0ms	(/ b (* z c))
43.0ms	(/ (* x y) (* z c))

simplify975.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (270.0ms)

Iter	Nodes	Cost
0	148	914
1	341	893
2	1523	735
done	5001	735

prune524.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.2b	(* t (/ a c))
5.0b	(/ b (* z c))
9.2b	(/ (* x y) (* z c))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
7×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `fma-udef`

Counts

4 → 90

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
25.0ms	(* t (/ a c))
14.0ms	(/ b (* z c))
23.0ms	(/ (* x y) (* z c))

series250.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
23.0ms	(* t (/ a c))
31.0ms	(/ b (* z c))
66.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	168	1005
1	393	974
2	1581	844
done	5000	816

prune501.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.7b	(/ t (/ c a))
5.0b	(/ b (* z c))
9.2b	(/ (* x y) (* z c))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
9.0ms	(/ t (/ c a))
8.0ms	(/ b (* z c))
16.0ms	(/ (* x y) (* z c))

series201.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
25.0ms	(/ t (/ c a))
24.0ms	(/ b (* z c))
36.0ms	(/ (* x y) (* z c))

simplify1.0s

Counts

140 → 140

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	248	1608
1	542	1527
2	2063	1359
done	5001	1359

prune738.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes1.1s

Accuracy

39% (5.9b remaining)

Error of 6.0b against oracle of 0.1b and baseline of 9.7b

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	147
1	61	147
done	61	147

end0.0ms

sample1.8s

Algorithm

intervals

Results

807.0ms

12836×

body

valid