Details

sample171.0ms

Algorithm

intervals

Results

69.0ms	1641×	body	80	nan
16.0ms	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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite326.0ms

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)
216.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
15.0ms	(+ (log (+ x y)) (log z))

series504.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (+ (log (+ x y)) (log z)) t)
205.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
55.0ms	(* (- a 0.5) (log t))
76.0ms	(+ (log (+ x y)) (log z))

simplify74.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237
done	5001	1237

prune497.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

46.0ms	(+ (+ (log (+ x y)) (log z)) (fma (log t) (- a 0.5) (- t)))
0.0ms	(fma (log t) (- a 0.5) (- t))
12.0ms	(+ (log (+ x y)) (log z))

series311.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(+ (+ (log (+ x y)) (log z)) (fma (log t) (- a 0.5) (- t)))
41.0ms	(fma (log t) (- a 0.5) (- t))
71.0ms	(+ (log (+ x y)) (log z))

simplify93.0ms

Counts

79 → 79

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	360	565
1	1054	530
2	4882	506
3	5001	505
done	5001	505

prune278.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) (fma (log t) (- a 0.5) (- t)))
0.1b	(fma (log t) (- a 0.5) (- t))
0.3b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.4b	(+ (log (+ x y)) (log (sqrt z)))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity`
74×	`distribute-lft-out`
52×	`pow1`
48×	`log-pow`
24×	`fma-def`
16×	`log-prod`
13×	`associate-+r+`
12×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l-`
10×	`sum-log` `add-log-exp`
6×	`log-div` `associate-+l+` `flip3-+` `sqrt-prod` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative`
2×	`fma-udef`

Counts

4 → 126

Calls

4 calls:

247.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) (fma (log t) (- a 0.5) (- t)))
0.0ms	(fma (log t) (- a 0.5) (- t))
59.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
15.0ms	(+ (log (+ x y)) (log (sqrt z)))

series649.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(+ (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) (fma (log t) (- a 0.5) (- t)))
39.0ms	(fma (log t) (- a 0.5) (- t))
171.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
145.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify48.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	546	1143
1	1742	1038
2	5001	1000
done	5001	1000

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (fma 2 (log (cbrt (sqrt z))) (log (+ x y))) (log (cbrt (sqrt z)))) (log (sqrt z)))
0.4b	(fma 2 (log (cbrt (sqrt z))) (log (+ x y)))
0.5b	(cbrt (sqrt z))
0.5b	(cbrt (sqrt z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

45.0ms	(+ (+ (fma 2 (log (cbrt (sqrt z))) (log (+ x y))) (log (cbrt (sqrt z)))) (log (sqrt z)))
0.0ms	(fma 2 (log (cbrt (sqrt z))) (log (+ x y)))
1.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series821.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(+ (+ (fma 2 (log (cbrt (sqrt z))) (log (+ x y))) (log (cbrt (sqrt z)))) (log (sqrt z)))
181.0ms	(fma 2 (log (cbrt (sqrt z))) (log (+ x y)))
149.0ms	(cbrt (sqrt z))
148.0ms	(cbrt (sqrt z))

simplify34.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	336	791
1	1061	724
2	5001	657
done	5001	657

prune428.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes578.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18
done	25	18

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	55886×	body	80	nan
413.0ms	8024×	body	80	valid