Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

373×

body

valid

simplify6.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	289	13
4	777	13
5	1682	13
6	2279	13
7	2440	13
8	2452	13
done	2452	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
5.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite79.0ms

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:

25.0ms	(* (* z 9.0) t)
9.0ms	(- (* x y) (* (* z 9.0) t))
41.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series246.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (* z 9.0) t)
79.0ms	(- (* x y) (* (* z 9.0) t))
123.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts

71 → 71

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	127	944
1	352	906
2	1799	787
done	5000	787

prune319.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.5b	(- (* x y) (* z (* 9.0 t)))
5.8b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite74.0ms

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-l` `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-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

20.0ms	(* z (* 9.0 t))
10.0ms	(- (* x y) (* z (* 9.0 t)))
42.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series285.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* z (* 9.0 t))
128.0ms	(- (* x y) (* z (* 9.0 t)))
106.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: 2 (305.0ms)

Iter	Nodes	Cost
0	125	941
1	341	905
2	1561	786
done	5001	786

prune354.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.9b	(/ (* t z) a)
5.3b	(/ (* x y) a)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

31.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
28.0ms	(* 4.5 (/ (* t z) a))
25.0ms	(/ (* t z) a)
20.0ms	(/ (* x y) a)

series322.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
54.0ms	(* 4.5 (/ (* t z) a))
51.0ms	(/ (* t z) a)
51.0ms	(/ (* x y) a)

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	157	1165
1	433	1114
2	2279	993
done	5001	979

prune495.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
4.0b	(/ (* (* z 9.0) t) (* a 2.0))
5.3b	(/ (* x y) (* a 2.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
25×	`prod-diff`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`times-frac`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
6×	`add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

51.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
19.0ms	(* (* z 9.0) t)
43.0ms	(/ (* (* z 9.0) t) (* a 2.0))
36.0ms	(/ (* x y) (* a 2.0))

series353.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
27.0ms	(* (* z 9.0) t)
49.0ms	(/ (* (* z 9.0) t) (* a 2.0))
71.0ms	(/ (* x y) (* a 2.0))

simplify3.7s

Counts

131 → 131

Iterations

Useful iterations: 2 (700.0ms)

Iter	Nodes	Cost
0	201	3111
1	583	2539
2	4026	2050
done	5001	2050

prune395.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes1.1s

Accuracy

88.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.7b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	38	105
1	57	74
done	57	74

end0.0ms

sample1.6s

Algorithm

intervals

Results

863.0ms

11164×

body

valid