Details

sample3.0s

Algorithm

intervals

Results

2.5s	129×	body	10240	exit
121.0ms	258×	body	80	valid
106.0ms	50×	body	1280	nan
41.0ms	31×	body	640	nan
18.0ms	18×	body	320	nan
5.0ms	8×	body	160	nan
3.0ms	11×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	4551
2	612
1	148
0	60

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize263.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3m

Algorithm

rewrite-expression-head

Rules

187×	`*-un-lft-identity`
121×	`distribute-lft-out`
78×	`frac-add`
44×	`times-frac`
30×	`add-sqr-sqrt` `unpow-prod-down` `associate-*l/`
28×	`flip3-+` `add-cube-cbrt` `flip-+`
23×	`associate-l`
13×	`add-log-exp`
12×	`exp-sum`
11×	`associate-/l*`
9×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
6×	`sum-log`
5×	`unpow-prod-up` `associate-+r-` `distribute-rgt-neg-in` `sqr-pow`
4×	`associate-/r` `associate-r*`
3×	`exp-diff` `div-exp` `associate-/r/` `pow-sub` `associate-/l/`
2×	`neg-sub0` `sqrt-pow1` `unsub-neg` `pow-prod-down` `sqrt-prod`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `frac-2neg` `pow1/2` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

325.0ms	(/ (pow (+ 7.0 (+ 0.5 (- z))) (+ 0.5 (- z))) (exp (+ 7.0 (+ 0.5 (- z)))))
2.5s	(+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099)
2.2m	(* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI)))
3.0ms	(sqrt (* 2.0 PI))

series751.0ms

Counts

4 → 10

Calls

4 calls:

218.0ms	(/ (pow (+ 7.0 (+ 0.5 (- z))) (+ 0.5 (- z))) (exp (+ 7.0 (+ 0.5 (- z)))))
112.0ms	(+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099)
421.0ms	(* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI)))
0.0ms	(sqrt (* 2.0 PI))

simplify5.8s

Counts

186 → 186

Iterations

Iter	Nodes
done	5002
1	1623
0	532

prune3.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize249.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8m

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
106×	`distribute-lft-out`
80×	`frac-add`
30×	`flip3-+` `associate-*l/` `flip-+`
27×	`add-log-exp`
23×	`associate-l`
16×	`sum-log`
9×	`pow1`
8×	`add-sqr-sqrt`
6×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-r`
2×	`+-commutative` `associate-+l+` `sqrt-pow1` `pow-prod-down` `sqrt-prod`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

6.4s	(+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0)))
1.6s	(+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099)
1.7m	(* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI)))
5.0ms	(sqrt (* 2.0 PI))

series454.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0)))
77.0ms	(+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099)
275.0ms	(* (+ (+ (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (/ 12.507343278686905 (+ (- z) 5.0))) (+ (/ -176.6150291621406 (+ (- z) 4.0)) (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ 1.5056327351493116e-07 (+ 8.0 (- z)))) (/ 9.984369578019572e-06 (+ 7.0 (- z)))))) (sqrt (* 2.0 PI)))
0.0ms	(sqrt (* 2.0 PI))

simplify4.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
1	1325
0	396

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize539.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099))
1.0b	(sqrt (* 2.0 PI))
1.0b	(pow (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) 3)
1.6b	(pow (/ 12.507343278686905 (+ (- z) 5.0)) 3)

rewrite10.4s

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
84×	`distribute-lft-out`
32×	`add-sqr-sqrt`
30×	`times-frac` `add-cube-cbrt`
27×	`unpow-prod-down` `cube-prod`
18×	`swap-sqr`
16×	`pow1`
10×	`add-cbrt-cube` `add-exp-log`
9×	`flip3-+` `flip-+`
6×	`pow-unpow` `distribute-rgt-neg-in` `associate-r` `associate-l`
4×	`frac-times` `associate-/r/` `add-log-exp`
3×	`cube-div` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `pow-to-exp` `pow-pow` `sqrt-pow1` `unpow3` `pow-prod-down` `associate-l/` `associate-r/` `div-inv` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `pow-plus` `pow1/2` `div-exp` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod` `cbrt-unprod` `unswap-sqr`

Counts

4 → 160

Calls

4 calls:

8.2s	(* (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099))
2.0ms	(sqrt (* 2.0 PI))
2.2s	(pow (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) 3)
16.0ms	(pow (/ 12.507343278686905 (+ (- z) 5.0)) 3)

series246.0ms

Counts

4 → 10

Calls

4 calls:

92.0ms	(* (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099))
0.0ms	(sqrt (* 2.0 PI))
103.0ms	(pow (+ (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 0.9999999999998099) 3)
50.0ms	(pow (/ 12.507343278686905 (+ (- z) 5.0)) 3)

simplify1.9s

Counts

170 → 170

Iterations

Iter	Nodes
done	5000
1	1055
0	289

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize446.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
1.0b	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
1.0b	(pow (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 3)
1.0b	(sqrt (* 2.0 PI))

rewrite4.7s

Algorithm

rewrite-expression-head

Rules

11111×	`*-un-lft-identity`
4734×	`distribute-lft-out`
4212×	`times-frac`
936×	`distribute-rgt-neg-in`
702×	`distribute-lft-out--`
670×	`swap-sqr`
100×	`frac-add`
50×	`frac-times` `flip3-+` `flip-+`
46×	`associate-r` `associate-l`
23×	`unpow-prod-down` `cube-prod`
22×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
10×	`associate-l/` `associate-r/`
9×	`add-cbrt-cube` `add-exp-log`
5×	`cube-div`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`pow2` `distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `pow-plus` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `pow-pow` `pow1/2` `unpow3` `pow-exp` `sqrt-prod` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 947

Calls

4 calls:

2.0s	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
2.0s	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
517.0ms	(pow (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 3)
3.0ms	(sqrt (* 2.0 PI))

series400.0ms

Counts

4 → 10

Calls

4 calls:

124.0ms	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
127.0ms	(* (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))))
148.0ms	(pow (+ (+ (/ 676.5203681218851 (- 1.0 z)) (/ -1259.1392167224028 (+ 2.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) 3)
0.0ms	(sqrt (* 2.0 PI))

simplify3.8s

Counts

957 → 957

Iterations

Iter	Nodes
done	5001
1	1123
0	278

prune4.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes444.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify59.0ms

Iterations

Iter	Nodes
done	129
1	129
0	90

end0.0ms

sample54.1s

Algorithm

intervals

Results

44.4s	3939×	body	10240	exit
3.8s	1549×	body	1280	nan
2.3s	1324×	body	640	nan
2.3s	8087×	body	80	valid
485.0ms	567×	body	320	nan
217.0ms	316×	body	160	nan
92.0ms	304×	body	80	nan