Details

sample193.0ms

Algorithm

intervals

Results

83.0ms	1887×	body	80	nan
14.0ms	256×	body	80	valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8
done	5001	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

65.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
13.0ms	(+ (log (+ x y)) (log z))

series353.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(- (+ (log (+ x y)) (log z)) t)
104.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
77.0ms	(+ (log (+ x y)) (log z))

simplify41.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650
done	5001	650

prune290.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.4b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`pow1/3` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `log-pow` `flip-+`

Counts

4 → 61

Calls

4 calls:

8.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series706.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
148.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
183.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify66.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	203	445
1	573	409
2	2204	368
3	5002	358
done	5002	358

prune375.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (log z) (log z))
0.5b	(* (log (+ x y)) (log (+ x y)))
0.5b	(- (log (+ x y)) (log z))
0.7b	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
43×	`pow1`
37×	`add-sqr-sqrt`
35×	`log-prod`
31×	`add-cube-cbrt`
25×	`log-pow`
17×	`prod-diff`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`swap-sqr` `associate--l+`
9×	`associate--r+`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`add-log-exp`
5×	`fma-neg` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
2×	`associate--l-` `pow2` `sub-neg` `log-div` `flip3--` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

9.0ms	(* (log z) (log z))
16.0ms	(* (log (+ x y)) (log (+ x y)))
14.0ms	(- (log (+ x y)) (log z))
19.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (log z) (log z))
177.0ms	(* (log (+ x y)) (log (+ x y)))
80.0ms	(- (log (+ x y)) (log z))
168.0ms	(- (* (log (+ x y)) (log (+ x y))) (* (log z) (log z)))

simplify59.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	446	1242
1	1660	1012
2	5002	875
done	5002	875

prune523.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
19×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`+-commutative` `cbrt-prod` `sum-log`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
12.0ms	(+ (log (+ x y)) (log z))
16.0ms	(+ (log (+ x y)) (log z))
13.0ms	(+ (log (+ x y)) (log z))

series951.0ms

Counts

4 → 12

Calls

4 calls:

725.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
77.0ms	(+ (log (+ x y)) (log z))
71.0ms	(+ (log (+ x y)) (log z))
78.0ms	(+ (log (+ x y)) (log z))

simplify56.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	601	974
1	2133	892
2	5001	877
done	5001	877

prune535.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes554.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12
done	19	12

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	56901×	body	80	nan
426.0ms	8033×	body	80	valid