Details

sample404.0ms

Algorithm

intervals

Results

189.0ms	1595×	body	80	nan
52.0ms	256×	body	80	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

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))

rewrite481.0ms

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:

390.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
48.0ms	(* (- a 0.5) (log t))
33.0ms	(+ (log (+ x y)) (log z))

series581.0ms

Counts

3 → 9

Calls

3 calls:

348.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
96.0ms	(* (- a 0.5) (log t))
137.0ms	(+ (log (+ x y)) (log z))

simplify2.7s

Counts

129 → 129

Iterations

Useful iterations: done (2.7s)

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

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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))

rewrite529.0ms

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:

433.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
27.0ms	(+ (log (+ x y)) (log z))

series649.0ms

Counts

3 → 9

Calls

3 calls:

398.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
109.0ms	(* (- a 0.5) (log t))
141.0ms	(+ (log (+ x y)) (log z))

simplify3.1s

Counts

129 → 129

Iterations

Useful iterations: done (3.1s)

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

localize48.0ms

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))

rewrite29.0ms

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))
26.0ms	(+ (log (+ x y)) (log z))

series345.0ms

Counts

2 → 6

Calls

2 calls:

189.0ms	(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
156.0ms	(+ (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

prune533.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

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)

rewrite30.0ms

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))
23.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(fma (* 2 (log (cbrt t))) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
118.0ms	(+ (log (+ x y)) (log z))
340.0ms	(cbrt t)
346.0ms	(cbrt t)

simplify1.3s

Counts

78 → 78

Iterations

Useful iterations: done (1.3s)

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

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes2.4s

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 (3.0ms)

Iter	Nodes	Cost
0	17	18
1	24	16
2	25	16
done	25	16

end0.0ms

sample16.9s

Algorithm

intervals

Results

10.0s	55799×	body	80	nan
1.3s	8040×	body	80	valid