Details

sample1.6s

Algorithm

intervals

Results

1.0s	118×	body	10240	exit
146.0ms	40×	body	640	nan
138.0ms	53×	body	1280	nan
133.0ms	258×	body	80	valid
25.0ms	16×	body	320	nan
23.0ms	20×	body	160	nan
4.0ms	7×	body	80	nan

simplify2.1s

Counts: 1 → 1

prune88.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize145.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.9b	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
0.9b	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))

rewrite402.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
32×	`times-frac`
27×	`distribute-lft-out`
16×	`distribute-lft-out--` `add-log-exp`
7×	`pow1` `sum-log` `frac-add`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative`
2×	`sqrt-pow1`
1×	`associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 75

Calls

4 calls:

Slowest

252.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
111.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
35.0ms	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))
3.0ms	(sqrt (* 2 PI))

series290.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

135.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
78.0ms	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))
76.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.0ms	(sqrt (* 2 PI))

simplify851.0ms

Counts: 85 → 85

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize165.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* 2 PI))
1.0b	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
0.9b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.9b	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))

rewrite764.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
24×	`times-frac`
23×	`distribute-lft-out`
16×	`add-log-exp`
12×	`distribute-lft-out--`
7×	`pow1` `sum-log`
6×	`frac-add`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`+-commutative`
2×	`associate-+l+` `sqrt-pow1`
1×	`pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 70

Calls

4 calls:

Slowest

417.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
225.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
116.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
5.0ms	(sqrt (* 2 PI))

series213.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

136.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
53.0ms	(+ (+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099) (/ 676.5203681218851 (- 1 z)))
24.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) 0.9999999999998099)
0.0ms	(sqrt (* 2 PI))

simplify660.0ms

Counts: 80 → 80

prune2.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize187.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.9b	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
0.9b	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
32×	`times-frac`
27×	`distribute-lft-out`
16×	`distribute-lft-out--` `add-log-exp`
7×	`sum-log` `frac-add`
6×	`add-sqr-sqrt`
5×	`pow1` `flip3-+` `add-cube-cbrt` `flip-+`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`+-commutative` `sqrt-prod`
1×	`rem-sqrt-square` `associate-+l+` `associate-+r+` `sqrt-pow1` `pow1/2`

Counts

4 → 77

Calls

4 calls:

Slowest

194.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
124.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
43.0ms	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))
1.0ms	(sqrt PI)

series255.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

105.0ms	(+ (+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z))) (/ 1.5056327351493116e-07 (- 8 z)))
98.0ms	(+ (/ 9.984369578019572e-06 (- 7 z)) (/ -0.13857109526572012 (- 6 z)))
51.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.0ms	(sqrt PI)

simplify773.0ms

Counts: 87 → 87

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.4b

localize611.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(* (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0b	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
30×	`distribute-lft-out`
24×	`flip3-+` `frac-add` `flip-+`
16×	`frac-times`
14×	`add-log-exp`
12×	`add-sqr-sqrt` `pow1`
11×	`swap-sqr`
9×	`add-cube-cbrt`
6×	`sum-log` `add-cbrt-cube` `add-exp-log`
5×	`associate-r` `associate-l`
4×	`associate-l/` `associate-r/` `insert-posit16`
3×	`sqrt-prod`
2×	`+-commutative` `associate-+r+`
1×	`pow2` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow-plus` `pow1/2` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

Slowest

944.0ms	(* (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
174.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
146.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
1.0ms	(sqrt PI)

series213.0ms

Counts

4 → 10

Calls

4 calls:

Slowest

79.0ms	(* (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
74.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
59.0ms	(+ (/ 771.3234287776531 (+ 2 (- 1 z))) (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))
0.0ms	(sqrt PI)

simplify1.2s

Counts: 124 → 124

prune4.9s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.4b

regimes445.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch12.0ms

end0.0ms

sample42.6s

Algorithm

intervals

Results

23.2s	3860×	body	10240	exit
6.7s	1450×	body	1280	nan
5.9s	8074×	body	80	valid
4.0s	1236×	body	640	nan
1.3s	614×	body	320	nan
648.0ms	285×	body	80	nan
401.0ms	313×	body	160	nan