Details

sample476.0ms

Algorithm

intervals

Results

269.0ms	1876×	body	80	nan
64.0ms	256×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
7	3522
6	1815
5	983
4	411
3	155
2	61
1	27
0	15

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--`
5×	`associate-l` `associate-+l-`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 176

Calls

4 calls:

87.0ms	(- (+ (log (+ x y)) (log z)) t)
245.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
37.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series645.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(- (+ (log (+ x y)) (log z)) t)
263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
69.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (log (+ x y)) (log z))

simplify865.0ms

Counts

188 → 188

Iterations

Iter	Nodes
2	2557
1	724
0	275

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
0.5b	(+ (log (sqrt (+ x y))) (log z))

rewrite890.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
96×	`distribute-lft-out`
80×	`pow1`
76×	`log-pow`
56×	`associate-+l+`
40×	`add-sqr-sqrt`
39×	`prod-diff`
34×	`add-cube-cbrt`
29×	`log-prod`
27×	`fma-def`
15×	`add-log-exp`
12×	`distribute-lft-out--`
11×	`sum-log`
10×	`associate-+r+`
8×	`sqrt-prod`
7×	`associate-+l-`
6×	`distribute-rgt-in` `log-div` `distribute-lft-in` `flip3-+` `add-cbrt-cube` `sqrt-div` `associate-*l/` `add-exp-log` `flip-+`
5×	`flip3--` `associate-l` `flip--`
4×	`expm1-log1p-u` `associate-r` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`+-commutative` `diff-log`
2×	`associate-+r-` `sqrt-pow1` `pow1/2` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 196

Calls

4 calls:

797.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
35.0ms	(* (- a 0.5) (log t))
41.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
11.0ms	(+ (log (sqrt (+ x y))) (log z))

series815.0ms

Counts

4 → 12

Calls

4 calls:

411.0ms	(+ (- (+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z))) t) (* (- a 0.5) (log t)))
100.0ms	(* (- a 0.5) (log t))
149.0ms	(+ (log (sqrt (+ x y))) (+ (log (sqrt (+ x y))) (log z)))
154.0ms	(+ (log (sqrt (+ x y))) (log z))

simplify1.6s

Counts

208 → 208

Iterations

Iter	Nodes
2	3133
1	871
0	311

prune3.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (+ y x))
0.1b	(fma (- 0.5 a) (log t) t)
0.1b	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))
0.1b	(- (log z) (fma (- 0.5 a) (log t) t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
24×	`prod-diff` `add-cube-cbrt`
19×	`pow1`
17×	`associate-+r+`
15×	`log-pow`
14×	`log-prod`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate--l+` `distribute-lft-out--`
5×	`add-exp-log`
4×	`expm1-log1p-u` `log-div` `associate-+l+` `fma-def` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`sum-log` `sub-neg` `diff-log` `associate-+l-` `fma-udef`
1×	`+-commutative` `associate-+r-` `flip3--` `rem-log-exp` `flip--` `associate--r+` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

3.0ms	(log (+ y x))
0.0ms	(fma (- 0.5 a) (log t) t)
20.0ms	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))
14.0ms	(- (log z) (fma (- 0.5 a) (log t) t))

series533.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(log (+ y x))
57.0ms	(fma (- 0.5 a) (log t) t)
267.0ms	(+ (log (+ y x)) (- (log z) (fma (- 0.5 a) (log t) t)))
87.0ms	(- (log z) (fma (- 0.5 a) (log t) t))

simplify2.5s

Counts

128 → 128

Iterations

Iter	Nodes
3	5174
2	1364
1	487
0	208

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.1b	(* (- a 0.5) (log (sqrt t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

66×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
43×	`log-prod`
34×	`add-cube-cbrt`
33×	`pow1`
28×	`associate-+l+`
27×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
15×	`associate-+r+`
13×	`fma-def`
12×	`associate-r`
11×	`add-log-exp`
10×	`associate-l`
8×	`add-cbrt-cube` `associate-*l/` `add-exp-log`
7×	`distribute-lft-out--`
6×	`flip3--` `flip--`
5×	`sum-log`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`flip3-+` `associate-+l-` `flip-+` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `associate--l+`

Counts

4 → 177

Calls

4 calls:

246.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
39.0ms	(* (- a 0.5) (log (sqrt t)))
39.0ms	(* (- a 0.5) (log (sqrt t)))
15.0ms	(+ (log (+ x y)) (log z))

series739.0ms

Counts

4 → 12

Calls

4 calls:

441.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log (sqrt t))))
94.0ms	(* (- a 0.5) (log (sqrt t)))
94.0ms	(* (- a 0.5) (log (sqrt t)))
109.0ms	(+ (log (+ x y)) (log z))

simplify934.0ms

Counts

189 → 189

Iterations

Iter	Nodes
2	2446
1	695
0	262

prune3.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	22
1	22
0	17

end0.0ms

sample14.6s

Algorithm

intervals

Results

9.0s	56771×	body	80	nan
1.4s	8028×	body	80	valid