Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

347×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	289	13
4	703	13
5	1234	13
6	1505	13
7	1534	13
done	1534	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

7.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series172.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* z 9.0) t)
69.0ms	(- (* x y) (* (* z 9.0) t))
82.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts

71 → 71

Iterations

Useful iterations: 2 (169.0ms)

Iter	Nodes	Cost
0	127	944
1	344	906
2	1462	787
done	5000	787

prune258.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
9.3b	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `associate-/l/`
5×	`add-log-exp`
4×	`associate-*r/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `flip3-+` `times-frac` `associate-l` `pow-prod-down` `flip--` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`associate-+l-` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 66

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
42.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 9.0 (* t z))
63.0ms	(- (* x y) (* 9.0 (* t z)))
73.0ms	(/ (+ (- (* x y) (* 9.0 (* t z))) (* (* z 9.0) (+ (- t) t))) (* a 2.0))

simplify813.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	152	1406
1	448	1343
2	1869	1023
done	5000	1023

prune331.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.4b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`associate-r`
14×	`associate-l`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r/` `prod-diff` `associate-l/` `clear-num`

Counts

4 → 126

Calls

4 calls:

7.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
7.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series277.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
22.0ms	(* (* z 9.0) t)
62.0ms	(- (* x y) (* (* z 9.0) t))
131.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify1.0s

Counts

138 → 138

Iterations

Useful iterations: 2 (426.0ms)

Iter	Nodes	Cost
0	215	2292
1	589	2128
2	2109	1869
done	5000	1869

prune416.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* (* z 9.0) t)))
0.2b	(* (* z 9.0) t)
9.3b	(/ (fma x y (- (* (* z 9.0) t))) a)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma x y (- (* (* z 9.0) t)))
6.0ms	(* (* z 9.0) t)
2.0ms	(/ (fma x y (- (* (* z 9.0) t))) a)

series148.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(fma x y (- (* (* z 9.0) t)))
17.0ms	(* (* z 9.0) t)
68.0ms	(/ (fma x y (- (* (* z 9.0) t))) a)

simplify1.6s

Counts

68 → 68

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	857
1	212	843
2	677	751
3	2515	749
done	5000	748

prune237.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 9.4b

regimes550.0ms

Accuracy

0% (0.4b remaining)

Error of 8.0b against oracle of 7.6b and baseline of 8.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	26	16
2	34	16
done	34	16

end0.0ms

sample722.0ms

Algorithm

intervals

Results

397.0ms

11159×

body

valid