Details

sample101.0ms

Algorithm

intervals

Results

43.0ms

429×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 6 (3.8s)

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.5b

localize28.0ms

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)
2.7b	(/ (fma y (* x 9.0) b) z)
12.1b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite157.0ms

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:

53.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
1.0ms	(fma y (* x 9.0) b)
9.0ms	(/ (fma y (* x 9.0) b) z)
88.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series669.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
59.0ms	(fma y (* x 9.0) b)
97.0ms	(/ (fma y (* x 9.0) b) z)
259.0ms	(/ (- (/ (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

prune799.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
6.1b	(/ b (* z c))
8.2b	(/ (* t a) c)
12.5b	(/ (* x y) (* z c))

rewrite85.0ms

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:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
17.0ms	(/ b (* z c))
34.0ms	(/ (* t a) c)
29.0ms	(/ (* x y) (* z c))

series275.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
37.0ms	(/ b (* z c))
28.0ms	(/ (* t a) c)
63.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: 2 (315.0ms)

Iter	Nodes	Cost
0	148	914
1	341	893
2	1519	735
done	5000	735

prune453.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.7b	(* t (/ a c))
6.1b	(/ b (* z c))
12.5b	(/ (* x y) (* z c))

rewrite58.0ms

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)))
26.0ms	(* t (/ a c))
9.0ms	(/ b (* z c))
17.0ms	(/ (* x y) (* z c))

series293.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
42.0ms	(* t (/ a c))
32.0ms	(/ b (* z c))
69.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

102 → 102

Iterations

Useful iterations: done (1.2s)

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

prune643.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.7b	(* t (/ a c))
5.2b	(/ x (/ (* z c) y))
5.8b	(/ (* z c) y)
6.1b	(/ b (* z c))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 130

Calls

4 calls:

43.0ms	(* t (/ a c))
21.0ms	(/ x (/ (* z c) y))
18.0ms	(/ (* z c) y)
10.0ms	(/ b (* z c))

series168.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* t (/ a c))
57.0ms	(/ x (/ (* z c) y))
35.0ms	(/ (* z c) y)
32.0ms	(/ b (* z c))

simplify1.9s

Counts

142 → 142

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	225	1338
1	503	1285
2	1738	1137
done	5000	1131

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.5s

Accuracy

10.9% (9.2b remaining)

Error of 9.3b against oracle of 0.0b and baseline of 10.4b

bsearch547.0ms

Steps

Iters	Range		Point
9	6.601711781698665e-112	1.5917948064499033e-105	1.320715977909022e-109
8	1.372622923189501e-181	1.6623926008128207e-177	3.076768144709861e-181
10	-5.958971445844474e-211	-8.501644981951623e-221	-4.1762781149919536e-212
4	-5.0133986434949897e-79	-3.004594577965098e-79	-3.56957072139538e-79

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	118
1	61	118
done	61	118

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.2s

12744×

body

valid