Details

sample66.0ms

Algorithm

intervals

Results

29.0ms

433×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	18	369
1	38	369
2	98	369
3	296	359
4	803	344
5	1681	344
done	5000	304

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize25.0ms

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 t) 4.0))
4.1b	(/ (fma (* x 9.0) y b) z)
10.6b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a t) 4.0)) c)

rewrite86.0ms

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)
33.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a t) 4.0))
4.0ms	(/ (fma (* x 9.0) y b) z)
46.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a t) 4.0)) c)

series686.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(fma (* x 9.0) y b)
299.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a t) 4.0))
92.0ms	(/ (fma (* x 9.0) y b) z)
231.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a t) 4.0)) c)

simplify1.9s

Counts

123 → 123

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	170	41037
1	389	39553
2	1269	38825
done	5001	38623

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.4b	(/ b (* z c))
5.3b	(/ (* t a) c)
9.5b	(/ (* x y) (* z c))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
11.0ms	(/ b (* z c))
23.0ms	(/ (* t a) c)
19.0ms	(/ (* x y) (* z c))

series256.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
42.0ms	(/ b (* z c))
36.0ms	(/ (* t a) c)
52.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

91 → 91

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	147	17052
1	354	15915
2	1529	14955
done	5000	14875

prune764.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ b (* z c))
5.1b	(/ x (/ (* z c) y))
5.2b	(/ (* z c) y)
5.3b	(/ (* t a) c)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 119

Calls

4 calls:

6.0ms	(/ b (* z c))
8.0ms	(/ x (/ (* z c) y))
7.0ms	(/ (* z c) y)
15.0ms	(/ (* t a) c)

series139.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ b (* z c))
54.0ms	(/ x (/ (* z c) y))
22.0ms	(/ (* z c) y)
32.0ms	(/ (* t a) c)

simplify1.6s

Counts

131 → 131

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	206	25695
1	510	24115
2	1984	23512
done	5002	23192

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

3.7b	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
4.4b	(/ b (* z c))
5.1b	(/ x (/ (* z c) y))
5.2b	(/ (* z c) y)

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

67×	`times-frac`
55×	`add-sqr-sqrt`
44×	`add-exp-log`
39×	`*-un-lft-identity` `add-cube-cbrt`
37×	`add-cbrt-cube`
22×	`associate-r`
16×	`cbrt-undiv` `div-exp`
11×	`cbrt-prod` `associate-/r*` `prod-exp` `cbrt-unprod`
9×	`div-inv`
7×	`associate-l` `associate-/l*`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `*-commutative`

Counts

4 → 157

Calls

4 calls:

72.0ms	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
12.0ms	(/ b (* z c))
13.0ms	(/ x (/ (* z c) y))
8.0ms	(/ (* z c) y)

series206.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
40.0ms	(/ b (* z c))
44.0ms	(/ x (/ (* z c) y))
37.0ms	(/ (* z c) y)

simplify2.4s

Counts

169 → 169

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	287	44657
1	800	41882
2	3095	41034
done	5002	36634

prune1.6s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

18.9% (8.0b remaining)

Error of 8.1b against oracle of 0.1b and baseline of 9.9b

bsearch386.0ms

Steps

Iters	Range		Point
5	6.448332044641393e+271	2.5509931873475717e+272	2.2582478969985192e+272
10	0.00010997967864529713	369574587.0527605	229091558.659164
9	-5.210863380440336e+74	-9.245445986332819e+67	-3.972382339916757e+73

simplify33.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	45	1592
1	52	1592
done	52	1592

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.0s

12758×

body

valid