Details

sample33.0ms

Algorithm

intervals

Results

19.0ms

345×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
6.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite56.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
11.0ms	(- (* x y) (* (* z 9.0) t))
24.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series212.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(* (* z 9.0) t)
70.0ms	(- (* x y) (* (* z 9.0) t))
118.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5003
2	1254
1	356
0	130

prune485.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.1b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(* t (* z 9.0))
0.3b	(- (* x y) (* t (* z 9.0)))
6.3b	(/ (- (* x y) (* t (* z 9.0))) (* a 2.0))

rewrite86.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

18.0ms	(* t (* z 9.0))
27.0ms	(- (* x y) (* t (* z 9.0)))
39.0ms	(/ (- (* x y) (* t (* z 9.0))) (* a 2.0))

series220.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* t (* z 9.0))
96.0ms	(- (* x y) (* t (* z 9.0)))
100.0ms	(/ (- (* x y) (* t (* z 9.0))) (* a 2.0))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	1332
1	348
0	127

prune466.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.1b

localize43.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* 9.0 t))
0.3b	(- (* x y) (* z (* 9.0 t)))
6.3b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite103.0ms

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` `insert-posit16` `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 → 65

Calls

3 calls:

33.0ms	(* z (* 9.0 t))
21.0ms	(- (* x y) (* z (* 9.0 t)))
47.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series251.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* z (* 9.0 t))
109.0ms	(- (* x y) (* z (* 9.0 t)))
116.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify3.0s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	4819
2	1274
1	345
0	128

prune440.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 9.0 t))
0.2b	(/ 1 (* a 2.0))
0.3b	(- (* x y) (* z (* 9.0 t)))
6.4b	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`prod-exp`
14×	`pow1`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`div-exp` `associate-r` `cbrt-unprod`
6×	`times-frac` `associate-l` `add-log-exp`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--` `associate-/l*`
2×	`frac-times` `associate-l/` `-commutative` `div-inv` `pow-flip`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `associate-r/` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

22.0ms	(* z (* 9.0 t))
14.0ms	(/ 1 (* a 2.0))
20.0ms	(- (* x y) (* z (* 9.0 t)))
73.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (* 9.0 t))
39.0ms	(/ 1 (* a 2.0))
90.0ms	(- (* x y) (* z (* 9.0 t)))
109.0ms	(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify2.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1613
1	421
0	169

prune617.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.1b

regimes942.0ms

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.1b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

11049×

body

valid