Details

sample177.0ms

Algorithm

intervals

Results

72.0ms	1640×	body	80	nan
17.0ms	256×	body	80	valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	61	15
3	155	15
4	356	15
5	858	15
6	1598	15
7	2194	15
8	2618	15
9	2630	15
done	2630	15

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

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:

69.0ms	(- (+ (log (+ x y)) (log z)) t)
0.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
13.0ms	(+ (log (+ x y)) (log z))

series388.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(- (+ (log (+ x y)) (log z)) t)
110.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
81.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

101 → 101

Iterations

Useful iterations: 3 (862.0ms)

Iter	Nodes	Cost
0	170	1568
1	388	1337
2	1000	1146
3	3921	1059
done	5000	1059

prune330.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite329.0ms

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:

64.0ms	(- (+ (log (+ x y)) (log z)) t)
23.0ms	(* (- a 0.5) (log t))
220.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
14.0ms	(+ (log (+ x y)) (log z))

series578.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(- (+ (log (+ x y)) (log z)) t)
67.0ms	(* (- a 0.5) (log t))
237.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
87.0ms	(+ (log (+ x y)) (log z))

simplify1.5s

Counts

184 → 184

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	270	2956
1	704	2524
2	2399	2215
done	5000	2131

prune582.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (sqrt t)) (- a 0.5))
0.1b	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
0.2b	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite60.0ms

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:

30.0ms	(* (log (sqrt t)) (- a 0.5))
11.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
0.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
13.0ms	(+ (log (+ x y)) (log z))

series564.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (log (sqrt t)) (- a 0.5))
260.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (log (sqrt t)) (- a 0.5)))
146.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
83.0ms	(+ (log (+ x y)) (log z))

simplify855.0ms

Counts

140 → 140

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	261	2735
1	591	2422
2	1613	2148
done	5001	1912

prune544.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

0.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
12.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series658.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
87.0ms	(+ (log (+ x y)) (log z))
200.0ms	(cbrt t)
200.0ms	(cbrt t)

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	138	767
1	312	737
2	815	650
3	2932	630
done	5000	628

prune384.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes443.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	29
1	31	29
done	31	29

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.5s	56116×	body	80	nan
443.0ms	8025×	body	80	valid