Details

sample1.9s

Algorithm

intervals

Results

517.0ms	127×	body	10240	exit
459.0ms	49×	body	640	nan
287.0ms	108×	body	1280	valid
231.0ms	84×	body	640	valid
167.0ms	55×	body	1280	nan
59.0ms	25×	body	160	valid
52.0ms	37×	body	320	valid
42.0ms	31×	body	320	nan
6.0ms	7×	body	160	nan
3.0ms	7×	body	80	nan
2.0ms	5×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
3	2093
2	410
1	139
0	55

prune50.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize163.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite891.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`associate-l`
20×	`add-sqr-sqrt`
14×	`unpow-prod-down` `add-exp-log`
10×	`pow1` `add-cube-cbrt` `distribute-lft-out`
8×	`add-cbrt-cube` `associate-r`
6×	`prod-exp` `unswap-sqr`
4×	`sqrt-pow1` `sqrt-prod` `insert-posit16` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `distribute-lft-out--` `pow-sub`

Counts

4 → 88

Calls

4 calls:

430.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
454.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series909.0ms

Counts

4 → 8

Calls

4 calls:

436.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
473.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify3.4s

Counts

96 → 96

Iterations

Iter	Nodes
3	6266
2	1324
1	399
0	159

prune1.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize259.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(* (sqrt (* PI 2)) (sqrt (* PI 2)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
34×	`sqrt-pow1`
23×	`pow-prod-down`
13×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
4×	`swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

6.0ms	(sqrt (* PI 2))
5.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))
27.0ms	(* (sqrt (* PI 2)) (sqrt (* PI 2)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(* (sqrt (* PI 2)) (sqrt (* PI 2)))

simplify3.8s

Counts

90 → 90

Iterations

Iter	Nodes
4	4467
3	1104
2	342
1	133
0	59

prune1.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize175.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6)))) (* (sqrt (* PI 2)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 12.507343278686905 (+ 4 z)) (+ (+ (+ (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (/ -1259.1392167224028 (+ 1 z))) (/ 771.3234287776531 (+ 2 z))) (/ 676.5203681218851 z)))) (/ -0.13857109526572012 (- z -5)))))
1.0b	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
1.0b	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
1.0b	(sqrt (* PI 2))

rewrite2.8m

Algorithm

rewrite-expression-head

Rules

264×	`frac-add`
102×	`associate-*r/`
96×	`times-frac`
95×	`*-un-lft-identity`
55×	`flip3-+` `flip-+`
52×	`associate-l`
48×	`add-sqr-sqrt` `add-cube-cbrt`
45×	`unpow-prod-down`
34×	`frac-times`
28×	`distribute-lft-out`
27×	`unpow-prod-up`
25×	`exp-sum`
24×	`add-exp-log`
18×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate-/l*`
9×	`sub-neg` `div-exp` `associate--r-` `sqr-pow`
6×	`cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in` `pow-prod-down` `insert-posit16`
3×	`pow-to-exp` `cbrt-undiv` `pow-exp`
2×	`sqrt-pow1` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow1/2` `associate-r` `associate-l/` `-commutative` `sqrt-prod` `pow-sub` `associate-/l/`

Counts

4 → 254

Calls

4 calls:

2.8m	(* (/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6)))) (* (sqrt (* PI 2)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 12.507343278686905 (+ 4 z)) (+ (+ (+ (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (/ -1259.1392167224028 (+ 1 z))) (/ 771.3234287776531 (+ 2 z))) (/ 676.5203681218851 z)))) (/ -0.13857109526572012 (- z -5)))))
122.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
25.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
3.0ms	(sqrt (* PI 2))

series766.0ms

Counts

4 → 10

Calls

4 calls:

571.0ms	(* (/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6)))) (* (sqrt (* PI 2)) (+ (+ (+ (/ 9.984369578019572e-06 (+ z 6)) (/ 1.5056327351493116e-07 (+ z 7))) (+ (/ 12.507343278686905 (+ 4 z)) (+ (+ (+ (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (/ -1259.1392167224028 (+ 1 z))) (/ 771.3234287776531 (+ 2 z))) (/ 676.5203681218851 z)))) (/ -0.13857109526572012 (- z -5)))))
171.0ms	(/ (pow (+ 0.5 (+ z 6)) (- z (- 1 0.5))) (exp (+ 0.5 (+ z 6))))
24.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
0.0ms	(sqrt (* PI 2))

simplify4.5s

Counts

264 → 264

Iterations

Iter	Nodes
1	3425
0	954

prune3.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize172.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
1.0b	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
1.0b	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
1.0b	(sqrt (* PI 2))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
14×	`pow1`
10×	`add-sqr-sqrt`
8×	`flip3-+` `add-cube-cbrt` `flip-+` `distribute-lft-out` `add-log-exp`
6×	`add-cbrt-cube` `swap-sqr` `add-exp-log`
4×	`frac-times` `associate-r` `associate-l` `insert-posit16`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/2` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-prod` `cbrt-unprod` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

21.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
20.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
111.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
3.0ms	(sqrt (* PI 2))

series86.0ms

Counts

4 → 10

Calls

4 calls:

26.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
23.0ms	(+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099)
37.0ms	(* (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099) (+ (/ -176.6150291621406 (+ z 3)) 0.9999999999998099))
0.0ms	(sqrt (* PI 2))

simplify5.1s

Counts

89 → 89

Iterations

Iter	Nodes
3	11814
2	1864
1	494
0	164

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify41.0ms

Iterations

Iter	Nodes
2	104
1	104
0	68

end0.0ms

sample31.7s

Algorithm

intervals

Results

11.8s	3935×	body	10240	exit
6.7s	3277×	body	1280	valid
4.6s	2566×	body	640	valid
3.3s	1481×	body	1280	nan
2.1s	1318×	body	640	nan
1.3s	1249×	body	320	valid
630.0ms	632×	body	320	nan
457.0ms	668×	body	160	valid
346.0ms	335×	body	80	valid
207.0ms	327×	body	160	nan
112.0ms	329×	body	80	nan