Details

sample51.0ms

Algorithm

intervals

Results

22.0ms

359×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2434
8	2434
7	2422
6	2265
5	1670
4	779
3	289
2	90
1	27
0	13

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
7.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite65.0ms

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:

7.0ms	(- (* x y) (* (* z 9.0) t))
22.0ms	(* (* z 9.0) t)
34.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series252.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (* z 9.0) t)
109.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1770
1	352
0	127

prune626.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.4b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.2b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite47.0ms

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:

8.0ms	(- (* x y) (* z (* 9.0 t)))
14.0ms	(* z (* 9.0 t))
24.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series250.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* x y) (* z (* 9.0 t)))
34.0ms	(* z (* 9.0 t))
122.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1576
1	341
0	125

prune544.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.2b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite57.0ms

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:

7.0ms	(- (* x y) (* 9.0 (* t z)))
25.0ms	(* 9.0 (* t z))
24.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series263.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (* x y) (* 9.0 (* t z)))
43.0ms	(* 9.0 (* t z))
134.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1542
1	336
0	122

prune531.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.4b

localize53.0ms

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))
4.7b	(/ (* x y) a)
5.7b	(/ (* t z) a)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `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:

26.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms	(* 4.5 (/ (* t z) a))
15.0ms	(/ (* x y) a)
15.0ms	(/ (* t z) a)

series374.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
71.0ms	(* 4.5 (/ (* t z) a))
50.0ms	(/ (* x y) a)
55.0ms	(/ (* t z) a)

simplify1.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2262
1	433
0	157

prune632.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.6s

Accuracy

33.9% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 7.5b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	43
1	43
0	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

913.0ms

11099×

body

valid