Details

sample466.0ms

Algorithm

intervals

Results

187.0ms	1852×	body	80	nan
103.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	157	15
4	459	15
5	1725	15
done	5001	15

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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))
0.7b	(+ (log (+ x y)) (log z))

rewrite494.0ms

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×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

137.0ms	(- (+ (log (+ x y)) (log z)) t)
293.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
33.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series789.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(- (+ (log (+ x y)) (log z)) t)
321.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
92.0ms	(* (- a 0.5) (log t))
114.0ms	(+ (log (+ x y)) (log z))

simplify2.6s

Counts

184 → 184

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	270	2956
1	738	2538
2	3146	2220
done	5001	2163

prune904.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.2b	(fma (- a 0.5) (log t) (- (log z) t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`add-exp-log` `expm1-log1p-u` `associate--l+` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `diff-log` `sum-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

18.0ms	(- (log z) t)
14.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series431.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (log z) t)
257.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
86.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify820.0ms

Counts

81 → 81

Iterations

Useful iterations: done (817.0ms)

Iter	Nodes	Cost
0	170	1198
1	410	1038
2	1237	924
done	5001	891

prune399.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
0.1b	(* (log (sqrt t)) (- a 0.5))
0.2b	(fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t))
0.7b	(+ (log (+ x y)) (log z))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`prod-diff`
34×	`add-cube-cbrt`
25×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
13×	`pow1`
8×	`log-pow`
7×	`log-prod` `fma-def`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`associate-+l+` `associate-r` `distribute-lft-out`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*r/` `sum-log` `fma-udef`
1×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

21.0ms	(+ (fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
64.0ms	(* (log (sqrt t)) (- a 0.5))
1.0ms	(fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t))
27.0ms	(+ (log (+ x y)) (log z))

series694.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(+ (fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
87.0ms	(* (log (sqrt t)) (- a 0.5))
229.0ms	(fma (- a 0.5) (log (sqrt t)) (- (+ (log (+ x y)) (log z)) t))
92.0ms	(+ (log (+ x y)) (log z))

simplify1.7s

Counts

140 → 140

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	275	2777
1	695	2464
2	3007	2184
done	5001	2176

prune785.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.7b	(+ (log (+ x y)) (log z))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`associate-+l+`
25×	`associate-+r+`
22×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-*r/`
7×	`log-prod`
6×	`cbrt-prod` `add-log-exp`
5×	`fma-def` `log-pow` `distribute-lft-out`
4×	`add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`
1×	`distribute-rgt-out`

Counts

4 → 119

Calls

4 calls:

61.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
33.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

380.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
261.0ms	(cbrt t)
279.0ms	(cbrt t)
119.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

131 → 131

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	255	2135
1	709	1805
2	3282	1364
done	5002	1339

prune669.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes500.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	16	15
done	16	15

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.8s	55974×	body	80	nan
1.3s	8043×	body	80	valid