Details

sample1.9s

Algorithm

intervals

Results

601.0ms	52×	body	640	nan
388.0ms	131×	body	10240	exit
365.0ms	107×	body	1280	valid
183.0ms	73×	body	640	valid
96.0ms	53×	body	1280	nan
55.0ms	50×	body	320	valid
31.0ms	25×	body	320	nan
13.0ms	18×	body	160	valid
8.0ms	11×	body	160	nan
4.0ms	10×	body	80	valid
3.0ms	8×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (677.0ms)

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

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize176.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
1.0b	(sqrt (* PI 2.0))
1.0b	(* (/ (* (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))))))

rewrite1.9m

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:

349.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.1s	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
6.0ms	(sqrt (* PI 2.0))
1.9m	(* (/ (* (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))))))

series1.7s

Counts

4 → 10

Calls

4 calls:

122.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
471.0ms	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
0.0ms	(sqrt (* PI 2.0))
1.1s	(* (/ (* (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))))))

simplify1.3s

Counts

357 → 357

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	1295	87194
done	5001	81929

prune12.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize216.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2.0))
1.0b	(sqrt (* PI 2.0))
1.0b	(sqrt (* PI 2.0))
1.0b	(* (/ (* (* (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))) (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))))) (cbrt (* (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))))))

rewrite1.3m

Algorithm

rewrite-expression-head

Rules

844×	`frac-add`
278×	`flip3-+` `flip-+`
178×	`*-un-lft-identity`
141×	`distribute-lft-out`
110×	`frac-times` `associate-*r/`
33×	`associate-r`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `associate-l`
7×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
6×	`sqrt-pow1`
4×	`times-frac` `pow-prod-down` `add-log-exp`
3×	`cbrt-undiv` `pow1/2` `div-exp` `sqrt-prod`
2×	`associate-+l-`
1×	`distribute-rgt-in` `distribute-lft-in` `exp-diff` `exp-sum` `associate-l/` `associate-/r/` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 316

Calls

4 calls:

3.0ms	(sqrt (* PI 2.0))
3.0ms	(sqrt (* PI 2.0))
4.0ms	(sqrt (* PI 2.0))
1.3m	(* (/ (* (* (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))) (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))))) (cbrt (* (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))))))

series727.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt (* PI 2.0))
0.0ms	(sqrt (* PI 2.0))
0.0ms	(sqrt (* PI 2.0))
727.0ms	(* (/ (* (* (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))) (cbrt (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))))) (cbrt (* (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))))))

simplify707.0ms

Counts

322 → 322

Iterations

Useful iterations: done (611.0ms)

Iter	Nodes	Cost
0	1218	97961
done	5001	92687

prune6.7s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
1.0b	(/ (* (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (+ (+ (+ (/ 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)))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
1.0b	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
1.0b	(sqrt (* PI 2.0))

rewrite17.0s

Algorithm

rewrite-expression-head

Rules

845×	`frac-add`
279×	`flip3-+` `flip-+`
221×	`associate-/l/`
114×	`associate-+l-`
113×	`associate-*l/`
112×	`pow-sub`
110×	`frac-times` `associate-*r/`
74×	`*-un-lft-identity`
27×	`distribute-lft-out`
22×	`times-frac`
20×	`add-exp-log`
15×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`associate-l`
10×	`prod-exp`
9×	`add-cube-cbrt`
7×	`pow1` `unpow-prod-down` `distribute-lft-out--`
6×	`add-log-exp`
5×	`div-exp`
4×	`associate-r` `associate-/r*` `cbrt-unprod`
3×	`cbrt-undiv` `unswap-sqr`
2×	`pow-to-exp` `sqrt-pow1` `exp-sum` `pow-exp` `sqrt-prod` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `frac-2neg` `pow1/2` `exp-diff` `pow-prod-down` `clear-num` `sum-log` `associate-/r/` `-commutative` `div-inv` `associate-/l`

Counts

4 → 313

Calls

4 calls:

193.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
16.1s	(/ (* (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (+ (+ (+ (/ 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)))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
652.0ms	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
4.0ms	(sqrt (* PI 2.0))

series1.1s

Counts

4 → 10

Calls

4 calls:

87.0ms	(+ (/ -0.13857109526572012 (+ (- z 1.0) 6.0)) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0)))
668.0ms	(/ (* (* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0))) (+ (+ (+ (/ 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)))))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
318.0ms	(* (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)) (sqrt (* PI 2.0)))
0.0ms	(sqrt (* PI 2.0))

simplify1.2s

Counts

323 → 323

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	835	30391
1	2811	28188
done	5002	27421

prune6.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize143.0ms

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))

rewrite129.0ms

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:

8.0ms	(/ (sqrt 2.0) (exp 6.5))
11.0ms	(* (log 6.5) (sqrt 2.0))
49.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
50.0ms	(* (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))

simplify1.2s

Counts

214 → 214

Iterations

Useful iterations: done (1.2s)

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

prune2.6s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes499.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (2.0ms)

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

end0.0ms

sample27.2s

Algorithm

intervals

Results

10.4s	3966×	body	10240	exit
5.0s	3376×	body	1280	valid
3.2s	2546×	body	640	valid
2.8s	1549×	body	1280	nan
1.9s	1229×	body	640	nan
1.7s	1257×	body	320	valid
874.0ms	625×	body	320	nan
270.0ms	598×	body	160	valid
148.0ms	298×	body	160	nan
88.0ms	294×	body	80	nan
62.0ms	312×	body	80	valid