Details

sample467.0ms

Algorithm

intervals

Results

244.0ms	1595×	body	80	nan
35.0ms	256×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

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

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize55.0ms

Local error

Found 3 expressions with local error:

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

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

499.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
62.0ms	(* (- a 0.5) (log t))
29.0ms	(+ (log (+ x y)) (log z))

series786.0ms

Counts

3 → 9

Calls

3 calls:

477.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
138.0ms	(* (- a 0.5) (log t))
170.0ms	(+ (log (+ x y)) (log z))

simplify3.2s

Counts

129 → 129

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	241	1955
1	666	1788
2	2880	1564
done	5001	1555

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 3 expressions with local error:

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

rewrite557.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

465.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
27.0ms	(+ (log (+ x y)) (log z))

series781.0ms

Counts

3 → 9

Calls

3 calls:

467.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
140.0ms	(* (- a 0.5) (log t))
173.0ms	(+ (log (+ x y)) (log z))

simplify3.3s

Counts

129 → 129

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	241	1955
1	666	1788
2	2880	1564
done	5001	1555

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.4b	(+ (log (+ x y)) (log z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

1.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
23.0ms	(+ (log (+ x y)) (log z))

series356.0ms

Counts

2 → 6

Calls

2 calls:

203.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
153.0ms	(+ (log (+ x y)) (log z))

simplify3.0s

Counts

46 → 46

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	114	567
1	263	548
2	820	490
3	4546	480
done	5000	479

prune539.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.4b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite31.0ms

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:

1.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
24.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
158.0ms	(+ (log (+ x y)) (log z))
389.0ms	(cbrt t)
394.0ms	(cbrt t)

simplify873.0ms

Counts

78 → 78

Iterations

Useful iterations: done (869.0ms)

Iter	Nodes	Cost
0	138	767
1	315	737
2	1015	650
done	5001	632

prune961.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes2.3s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	18
1	23	16
done	23	16

end0.0ms

sample17.1s

Algorithm

intervals

Results

9.9s	55799×	body	80	nan
1.7s	8040×	body	80	valid