Details

sample52.0ms

Algorithm

intervals

Results

24.0ms

353×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	247
1	27	247
2	88	247
3	283	247
4	720	247
5	1250	247
6	1531	247
7	1569	247
8	1597	247
done	1597	247

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
8.5b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

32.0ms	(* (* z 9.0) t)
13.0ms	(- (* x y) (* (* z 9.0) t))
34.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series223.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (* z 9.0) t)
77.0ms	(- (* x y) (* (* z 9.0) t))
124.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify2.1s

Counts

71 → 71

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	127	17073
1	352	16086
2	1256	15726
done	5002	15591

prune490.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.7b

localize27.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
8.5b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

19.0ms	(* 9.0 (* t z))
7.0ms	(- (* x y) (* 9.0 (* t z)))
22.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* 9.0 (* t z))
78.0ms	(- (* x y) (* 9.0 (* t z)))
96.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify3.4s

Counts

71 → 71

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	122	17033
1	336	16182
2	1244	15782
3	4613	15752
done	5000	15727

prune575.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 8.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 9.0) (* t z))
0.3b	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
0.3b	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
8.5b	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

15.0ms	(* (sqrt 9.0) (* t z))
64.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
9.0ms	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
25.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

series703.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (sqrt 9.0) (* t z))
113.0ms	(* (sqrt 9.0) (* (sqrt 9.0) (* t z)))
207.0ms	(- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z))))
310.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (sqrt 9.0) (* t z)))) (* a 2.0))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	151	29860
1	415	21783
2	1890	21223
done	5002	20993

prune708.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sqrt 9.0) t) z)
0.3b	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
0.3b	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
8.5b	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

20.0ms	(* (* (sqrt 9.0) t) z)
95.0ms	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
8.0ms	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
19.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

series688.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* (sqrt 9.0) t) z)
96.0ms	(* (sqrt 9.0) (* (* (sqrt 9.0) t) z))
210.0ms	(- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z)))
318.0ms	(/ (- (* x y) (* (sqrt 9.0) (* (* (sqrt 9.0) t) z))) (* a 2.0))

simplify2.7s

Counts

100 → 100

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	155	29562
1	434	26534
2	1882	25974
done	5000	20479

prune586.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.2b

regimes2.3s

Accuracy

80% (0.7b remaining)

Error of 4.8b against oracle of 4.0b and baseline of 7.8b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	29	909
1	41	909
done	41	909

end0.0ms

sample1.8s

Algorithm

intervals

Results

823.0ms

11074×

body

valid