Details

sample142.0ms

Algorithm

intervals

Results

79.0ms	68×	body	10240	exit
31.0ms	265×	body	80	valid
7.0ms	6×	body	1280	valid
5.0ms	8×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	5×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
3	26
2	22
1	15
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (log1p (exp x)) (* y x))
0.3b	(log1p (exp x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `fma-neg` `prod-diff`
2×	`pow1` `log1p-udef` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `log1p-expm1` `flip--`

Counts

2 → 34

Calls

2 calls:

5.0ms	(- (log1p (exp x)) (* y x))
0.0ms	(log1p (exp x))

series165.0ms

Counts

2 → 6

Calls

2 calls:

85.0ms	(- (log1p (exp x)) (* y x))
80.0ms	(log1p (exp x))

simplify1.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	2002
4	2002
3	1021
2	320
1	128
0	61

prune364.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(log1p (exp x))
0.5b	(sqrt (- (log1p (exp x)) (* y x)))
0.5b	(sqrt (- (log1p (exp x)) (* y x)))
0.6b	(* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`flip3--` `swap-sqr` `flip--`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`expm1-log1p-u` `pow-prod-up`
4×	`frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `log1p-udef` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

1.0ms	(log1p (exp x))
16.0ms	(sqrt (- (log1p (exp x)) (* y x)))
6.0ms	(sqrt (- (log1p (exp x)) (* y x)))
22.0ms	(* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(log1p (exp x))
153.0ms	(sqrt (- (log1p (exp x)) (* y x)))
157.0ms	(sqrt (- (log1p (exp x)) (* y x)))
60.0ms	(* (sqrt (- (log1p (exp x)) (* y x))) (sqrt (- (log1p (exp x)) (* y x))))

simplify914.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2000
3	2000
2	738
1	300
0	139

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(sqrt (- (log1p (exp x)) (* y x)))
0.5b	(sqrt (- (log1p (exp x)) (* y x)))
0.5b	(sqrt (- (log1p (exp x)) (* y x)))
0.6b	(* (* (sqrt (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (sqrt (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

96×	`sqrt-div`
60×	`sqrt-pow1`
51×	`pow1`
36×	`pow1/2`
34×	`pow-prod-up`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`add-sqr-sqrt`
14×	`associate-*l/` `sqrt-prod`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
8×	`associate-*r/` `pow-sqr`
7×	`pow-prod-down`
6×	`pow-plus` `associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `prod-exp` `cbrt-unprod`
2×	`sqrt-unprod` `swap-sqr` `unswap-sqr`
1×	`associate-l` `*-commutative`

Counts

4 → 135

Calls

4 calls:

10.0ms	(sqrt (- (log1p (exp x)) (* y x)))
10.0ms	(sqrt (- (log1p (exp x)) (* y x)))
10.0ms	(sqrt (- (log1p (exp x)) (* y x)))
96.0ms	(* (* (sqrt (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (sqrt (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))

series589.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(sqrt (- (log1p (exp x)) (* y x)))
160.0ms	(sqrt (- (log1p (exp x)) (* y x)))
150.0ms	(sqrt (- (log1p (exp x)) (* y x)))
86.0ms	(* (* (sqrt (sqrt (- (log1p (exp x)) (* y x)))) (sqrt (sqrt (- (log1p (exp x)) (* y x))))) (sqrt (- (log1p (exp x)) (* y x))))

simplify1.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	2002
3	2002
2	1213
1	504
0	197

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y x))
0.0b	(+ (exp x) 1)
0.0b	(/ (+ (exp x) 1) (exp (* y x)))
2.5b	(log (/ (+ (exp x) 1) (exp (* y x))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`log-prod`
8×	`distribute-lft-out` `add-log-exp`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r*` `fma-def`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `exp-prod` `clear-num` `sum-log` `frac-2neg` `exp-to-pow` `log-pow` `rem-exp-log`

Counts

4 → 97

Calls

4 calls:

8.0ms	(exp (* y x))
19.0ms	(+ (exp x) 1)
46.0ms	(/ (+ (exp x) 1) (exp (* y x)))
12.0ms	(log (/ (+ (exp x) 1) (exp (* y x))))

series124.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (* y x))
10.0ms	(+ (exp x) 1)
27.0ms	(/ (+ (exp x) 1) (exp (* y x)))
66.0ms	(log (/ (+ (exp x) 1) (exp (* y x))))

simplify959.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	2000
3	2000
2	712
1	296
0	133

prune1.0s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes113.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.4b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.6s	2415×	body	10240	exit
869.0ms	8387×	body	80	valid
175.0ms	266×	body	640	valid
152.0ms	138×	body	1280	valid
47.0ms	144×	body	320	valid
23.0ms	109×	body	160	valid