Details

sample1.4s

Algorithm

intervals

Results

568.0ms	47×	body	1280	nan
314.0ms	113×	body	10240	exit
243.0ms	115×	body	1280	valid
89.0ms	67×	body	640	valid
43.0ms	41×	body	640	nan
35.0ms	38×	body	320	valid
16.0ms	18×	body	320	nan
15.0ms	24×	body	160	valid
5.0ms	15×	body	80	valid
3.0ms	7×	body	160	nan
2.0ms	10×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (466.0ms)

Iter	Nodes	Cost
0	55	94
1	133	94
2	447	92
3	2857	89
done	5001	89

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize117.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
1.0b	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(sqrt (* PI 2.0))
1.4b	(* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (+ (+ (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))

rewrite1.5m

Algorithm

rewrite-expression-head

Rules

845×	`frac-add`
279×	`flip3-+` `flip-+`
246×	`*-un-lft-identity`
168×	`distribute-lft-out`
110×	`frac-times` `associate-*r/`
37×	`associate-r`
22×	`times-frac`
21×	`add-exp-log`
20×	`associate-l`
17×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
11×	`prod-exp`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`unpow-prod-down` `distribute-lft-out--`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `unswap-sqr`
3×	`associate-+l-`
2×	`cbrt-undiv` `pow-to-exp` `sqrt-pow1` `pow-prod-down` `associate-l/` `pow-exp` `sqrt-prod` `-commutative` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow1/2` `exp-diff` `exp-sum` `sum-log` `associate-/r/` `div-inv` `pow-sub`

Counts

4 → 347

Calls

4 calls:

870.0ms	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
621.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
4.0ms	(sqrt (* PI 2.0))
1.4m	(* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (+ (+ (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))

series1.2s

Counts

4 → 10

Calls

4 calls:

322.0ms	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
80.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
0.0ms	(sqrt (* PI 2.0))
824.0ms	(* (/ (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (exp (+ (+ (- z 1.0) 7.0) 0.5))) (+ (+ (+ (/ 676.5203681218851 z) 0.9999999999998099) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (+ (+ (+ (/ 771.3234287776531 (+ (- z 1.0) 3.0)) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (+ (+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0))))))

simplify815.0ms

Counts

357 → 357

Iterations

Useful iterations: done (695.0ms)

Iter	Nodes	Cost
0	1295	87194
done	5001	81929

prune7.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 2.0) (exp 6.5))
1.0b	(* (log 6.5) (sqrt 2.0))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
104×	`unpow-prod-down`
84×	`times-frac`
68×	`*-un-lft-identity`
62×	`associate-l`
56×	`add-cube-cbrt`
53×	`add-exp-log`
40×	`sqrt-prod`
38×	`unswap-sqr`
26×	`pow-exp`
25×	`prod-exp`
20×	`sqr-pow`
18×	`associate-r`
13×	`div-exp`
12×	`add-cbrt-cube`
8×	`pow-to-exp`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `frac-2neg` `pow-prod-down` `clear-num` `log-pow`

Counts

4 → 210

Calls

4 calls:

12.0ms	(/ (sqrt 2.0) (exp 6.5))
16.0ms	(* (log 6.5) (sqrt 2.0))
73.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
72.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt 2.0) (exp 6.5))
0.0ms	(* (log 6.5) (sqrt 2.0))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

simplify1.4s

Counts

214 → 214

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	276	3478
1	599	3310
2	2373	3129
done	5000	3089

prune3.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize173.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 2.0) (exp 6.5))
1.0b	(* (log 6.5) (sqrt 2.0))
1.0b	(- (log (sqrt PI)) (* (log (pow 6.5 1.0)) 0.5))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
52×	`unpow-prod-down`
51×	`times-frac`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`associate-l`
31×	`sqrt-prod`
30×	`add-exp-log`
20×	`unswap-sqr`
13×	`pow-exp` `prod-exp`
12×	`associate-r`
10×	`add-cbrt-cube` `sqr-pow`
7×	`pow1` `div-exp`
6×	`log-prod` `associate--l+` `associate-/l*`
5×	`add-log-exp`
4×	`pow-to-exp`
3×	`rec-exp` `1-exp` `associate-/r*`
2×	`*-commutative` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `log-pow` `flip--`

Counts

4 → 154

Calls

4 calls:

8.0ms	(/ (sqrt 2.0) (exp 6.5))
14.0ms	(* (log 6.5) (sqrt 2.0))
21.0ms	(- (log (sqrt PI)) (* (log (pow 6.5 1.0)) 0.5))
104.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt 2.0) (exp 6.5))
0.0ms	(* (log 6.5) (sqrt 2.0))
0.0ms	(- (log (sqrt PI)) (* (log (pow 6.5 1.0)) 0.5))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

simplify1.5s

Counts

158 → 158

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	306	2617
1	672	2495
2	2595	2359
done	5000	2222

prune2.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(* (log 6.5) (sqrt 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`sqrt-prod`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `associate-r` `add-cbrt-cube`
4×	`associate-l` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 62

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
11.0ms	(* (log 6.5) (sqrt 2.0))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(* (log 6.5) (sqrt 2.0))

simplify609.0ms

Counts

66 → 66

Iterations

Useful iterations: done (607.0ms)

Iter	Nodes	Cost
0	102	823
1	239	773
2	905	764
done	5001	718

prune889.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes360.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify24.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	152
1	98	152
done	98	152

end0.0ms

sample26.8s

Algorithm

intervals

Results

9.2s	3826×	body	10240	exit
6.9s	3439×	body	1280	valid
3.3s	2490×	body	640	valid
2.6s	1500×	body	1280	nan
1.5s	1221×	body	320	valid
1.3s	1249×	body	640	nan
981.0ms	592×	body	320	nan
256.0ms	608×	body	160	valid
124.0ms	321×	body	160	nan
69.0ms	317×	body	80	valid
51.0ms	272×	body	80	nan