Details

sample47.0ms

Algorithm

intervals

Results

20.0ms	125×	pre	10240	exit
8.0ms	256×	body	80	valid
4.0ms	131×	pre	80	true

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 52

Calls

2 calls:

15.0ms	(/ x0 (- 1.0 x1))
62.0ms	(- (/ x0 (- 1.0 x1)) x0)

series97.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ x0 (- 1.0 x1))
58.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.6s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	2627
2	815
1	264
0	117

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
5.5b	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
49×	`add-cbrt-cube` `add-exp-log`
46×	`times-frac`
33×	`add-cube-cbrt`
23×	`pow1`
21×	`associate-r`
18×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
6×	`pow-plus` `associate-/r/` `pow-prod-up` `associate-/l*` `add-log-exp`
5×	`frac-times` `associate-*l/`
4×	`flip3--` `flip--`
3×	`pow3` `pow-prod-down` `associate-*r/` `div-inv`
2×	`pow2` `clear-num` `frac-2neg` `pow-sqr` `unswap-sqr`
1×	`difference-cubes` `sub-neg` `diff-log` `associate-l` `*-commutative`

Counts

4 → 157

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
72.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
73.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
70.0ms	(* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1)))
92.0ms	(- (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (/ x0 (- 1.0 x1))) (* (* x0 x0) x0))

simplify1.5s

Counts

169 → 169

Iterations

Iter	Nodes
done	5005
2	2633
1	607
0	208

prune502.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
5.5b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 123

Calls

4 calls:

8.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
93.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1.0 x1))
36.0ms	(/ x0 (- 1.0 x1))
38.0ms	(/ x0 (- 1.0 x1))
92.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

simplify1.1s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	1153
1	312
0	126

prune475.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
0.9b	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
5.5b	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-cbrt-cube` `add-exp-log`
40×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-l`
18×	`pow1` `prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
10×	`frac-times` `associate-*r/`
7×	`cbrt-div` `distribute-lft-out--` `difference-of-squares`
6×	`associate-*l/` `add-log-exp`
5×	`associate-/r*` `pow-prod-up`
4×	`associate-/r/`
3×	`flip3--` `pow-prod-down` `flip--` `associate-/l*`
2×	`cube-unmult` `div-inv` `unswap-sqr`
1×	`cbrt-prod` `pow2` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `pow1/3` `diff-log` `associate-r` `pow-sqr` `*-commutative` `rem-cbrt-cube`

Counts

4 → 132

Calls

4 calls:

8.0ms	(/ x0 (- 1.0 x1))
60.0ms	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
43.0ms	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
87.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x0 (- 1.0 x1))
69.0ms	(* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))))
51.0ms	(cbrt (* (/ x0 (- 1.0 x1)) (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1)))))
90.0ms	(- (/ (* (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) x0) (- 1.0 x1)) (* (* x0 x0) x0))

simplify1.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	2868
1	671
0	242

prune457.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.4b

regimes99.0ms

Accuracy

0% (0.7b remaining)

Error of 6.1b against oracle of 5.4b and baseline of 6.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample876.0ms

Algorithm

intervals

Results

466.0ms	4021×	pre	10240	exit
191.0ms	8000×	body	80	valid
78.0ms	3979×	pre	80	true