Details

sample406.0ms

Algorithm

intervals

Results

372.0ms	124×	pre	10240	exit
9.0ms	256×	body	80	valid
4.0ms	132×	pre	80	true

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite107.0ms

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:

10.0ms	(/ x0 (- 1.0 x1))
95.0ms	(- (/ x0 (- 1.0 x1)) x0)

series108.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ x0 (- 1.0 x1))
59.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify1.7s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	3811
2	873
1	264
0	117

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 7.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
1.3b	(pow (/ x0 (- 1.0 x1)) 3)
5.6b	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
68×	`times-frac`
43×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod`
38×	`difference-of-squares`
19×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log` `sqr-pow`
10×	`associate-/r*`
8×	`associate-/r/`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
4×	`div-inv`
3×	`cbrt-undiv` `pow-unpow` `div-exp`
2×	`clear-num` `frac-2neg` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `difference-cubes` `sub-neg` `pow-pow` `diff-log` `unpow3`

Counts

4 → 178

Calls

4 calls:

13.0ms	(/ x0 (- 1.0 x1))
16.0ms	(/ x0 (- 1.0 x1))
12.0ms	(pow (/ x0 (- 1.0 x1)) 3)
130.0ms	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

series308.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ x0 (- 1.0 x1))
58.0ms	(/ x0 (- 1.0 x1))
71.0ms	(pow (/ x0 (- 1.0 x1)) 3)
124.0ms	(- (pow (/ x0 (- 1.0 x1)) 3) (pow x0 3))

simplify1.4s

Counts

190 → 190

Iterations

Iter	Nodes
done	5001
2	3742
1	791
0	223

prune526.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
1.0b	(pow (- 1.0 x1) 3)
5.6b	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
27×	`add-cube-cbrt`
10×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
5×	`pow1` `unpow-prod-down` `cube-prod`
4×	`flip3--` `associate-/r/` `flip--`
3×	`pow-unpow`
2×	`cube-div` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `diff-log` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

9.0ms	(/ x0 (- 1.0 x1))
9.0ms	(/ x0 (- 1.0 x1))
7.0ms	(pow (- 1.0 x1) 3)
26.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

series198.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x0 (- 1.0 x1))
37.0ms	(/ x0 (- 1.0 x1))
32.0ms	(pow (- 1.0 x1) 3)
92.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

simplify824.0ms

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
2	2387
1	471
0	164

prune435.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
1.0b	(pow (- 1.0 x1) 3)
1.0b	(* (* (cbrt (/ x0 (- 1.0 x1))) (cbrt (/ x0 (- 1.0 x1)))) (cbrt (/ x0 (- 1.0 x1))))
5.6b	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
27×	`add-cube-cbrt`
24×	`pow1` `associate-r`
23×	`cbrt-prod`
12×	`cbrt-div` `add-exp-log`
9×	`pow1/3` `pow-prod-up` `distribute-lft-out--` `difference-of-squares`
8×	`add-cbrt-cube`
6×	`pow-plus` `add-log-exp`
5×	`frac-times` `associate-/r` `unpow-prod-down` `cube-prod` `pow-prod-down` `associate-l/`
4×	`flip3--` `associate-/r/` `flip--`
3×	`pow-unpow` `prod-exp` `associate-r/` `pow-sqr` `cbrt-unprod` `associate-/l` `unswap-sqr`
2×	`cube-div` `pow2` `div-inv`
1×	`cube-mult` `pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `diff-log` `unpow3` `div-exp` `associate-l` `pow3` `pow-exp` `*-commutative` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

8.0ms	(/ x0 (- 1.0 x1))
7.0ms	(pow (- 1.0 x1) 3)
75.0ms	(* (* (cbrt (/ x0 (- 1.0 x1))) (cbrt (/ x0 (- 1.0 x1)))) (cbrt (/ x0 (- 1.0 x1))))
21.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

series211.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x0 (- 1.0 x1))
32.0ms	(pow (- 1.0 x1) 3)
51.0ms	(* (* (cbrt (/ x0 (- 1.0 x1))) (cbrt (/ x0 (- 1.0 x1)))) (cbrt (/ x0 (- 1.0 x1))))
91.0ms	(- (* (pow x0 3) (/ 1 (pow (- 1.0 x1) 3))) (pow x0 3))

simplify1.2s

Counts

151 → 151

Iterations

Iter	Nodes
done	5001
2	3565
1	675
0	243

prune547.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.3b

regimes102.0ms

Accuracy

0% (0.4b remaining)

Error of 5.6b against oracle of 5.2b and baseline of 5.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample956.0ms

Algorithm

intervals

Results

474.0ms	3932×	pre	10240	exit
194.0ms	8000×	body	80	valid
83.0ms	4068×	pre	80	true