Details

sample28.0ms

Algorithm

intervals

Results

12.0ms	132×	pre	10240	exit
4.0ms	256×	body	80	valid
2.0ms	124×	pre	80	true

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	12	7
done	12	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
7.2b	(- (/ x0 (- 1.0 x1)) x0)

rewrite39.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
32.0ms	(- (/ x0 (- 1.0 x1)) x0)

series78.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x0 (- 1.0 x1))
41.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify2.1s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	117	677
1	244	641
2	610	613
3	1501	593
4	4180	590
done	5000	590

prune84.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- 1.0 x1) (- 1.0 x1))
0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
5.8b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `associate-/r*`
4×	`frac-times`
3×	`sub-neg` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

16.0ms	(* (- 1.0 x1) (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
22.0ms	(+ (/ x0 (- 1.0 x1)) x0)
33.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series156.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (- 1.0 x1) (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
38.0ms	(+ (/ x0 (- 1.0 x1)) x0)
68.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify486.0ms

Counts

121 → 121

Iterations

Useful iterations: done (482.0ms)

Iter	Nodes	Cost
0	194	1524
1	443	1424
2	1397	1322
done	5002	1286

prune188.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ x0 (- 1.0 x1))
0.8b	(+ (/ x0 (- 1.0 x1)) x0)
1.0b	(pow (- 1.0 x1) 3)
3.5b	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
30×	`difference-of-squares`
23×	`unpow-prod-down` `times-frac` `cube-prod`
17×	`add-cube-cbrt`
11×	`distribute-lft-out--` `sqr-pow`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*`
3×	`pow-unpow` `flip3--` `flip--` `associate-/l*`
2×	`cube-div` `associate-/r/`
1×	`difference-cubes` `cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `unpow3` `div-exp` `pow-exp` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
22.0ms	(+ (/ x0 (- 1.0 x1)) x0)
4.0ms	(pow (- 1.0 x1) 3)
83.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

series200.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ x0 (- 1.0 x1))
34.0ms	(+ (/ x0 (- 1.0 x1)) x0)
27.0ms	(pow (- 1.0 x1) 3)
101.0ms	(- (pow (/ x0 (* (- 1.0 x1) (- 1.0 x1))) 3) (pow x0 3))

simplify808.0ms

Counts

132 → 132

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	225	2170
1	543	2004
2	1804	1822
done	5001	1820

prune359.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.5b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (- 1.0 x1) 3)
1.3b	(pow (- 1.0 x1) 6)
1.5b	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
3.5b	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

rewrite507.0ms

Algorithm

rewrite-expression-head

Rules

239×	`add-sqr-sqrt`
107×	`difference-of-squares`
96×	`times-frac`
92×	`unpow-prod-down`
84×	`sqr-pow`
57×	`log-pow`
56×	`exp-prod`
55×	`cube-prod`
21×	`*-un-lft-identity`
11×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `pow-unpow` `add-log-exp`
5×	`log-prod` `add-cbrt-cube` `distribute-lft-out--`
2×	`cube-div` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `exp-sum` `pow-exp` `flip--`
1×	`cube-mult` `log-div` `exp-diff` `diff-log` `unpow3` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 184

Calls

4 calls:

4.0ms	(pow (- 1.0 x1) 3)
4.0ms	(pow (- 1.0 x1) 6)
359.0ms	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
127.0ms	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

series265.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (- 1.0 x1) 3)
36.0ms	(pow (- 1.0 x1) 6)
95.0ms	(log (exp (- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))))
102.0ms	(- (/ (pow x0 3) (pow (- 1.0 x1) 6)) (pow x0 3))

simplify519.0ms

Counts

196 → 196

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	296	3957
1	628	3467
2	1647	3320
done	5000	3320

prune503.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 2.2b

regimes92.0ms

Accuracy

88.3% (0.1b remaining)

Error of 2.4b against oracle of 2.3b and baseline of 3.5b

bsearch49.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	130
1	50	130
done	50	130

end0.0ms

sample687.0ms

Algorithm

intervals

Results

358.0ms	3916×	pre	10240	exit
131.0ms	8000×	body	80	valid
59.0ms	4084×	pre	80	true