Details

sample322.0ms

Algorithm

intervals

Results

168.0ms	1909×	body	80	nan
21.0ms	257×	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	471	15
5	1804	15
done	5000	15

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

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))
0.5b	(+ (log (+ x y)) (log z))

rewrite372.0ms

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×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `flip3-+` `associate-+l-` `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:

304.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
39.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log (+ x y)) (log z))

series459.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
83.0ms	(* (- a 0.5) (log t))
103.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

129 → 129

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	243	1955
1	673	1780
2	2905	1562
done	5001	1554

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.2b	(fma (- a 0.5) (log t) (- (log z) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`prod-diff`
10×	`pow1`
7×	`log-prod` `log-pow`
5×	`add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`expm1-log1p-u` `add-cbrt-cube` `associate--l+` `add-exp-log` `log1p-expm1-u` `distribute-lft-out`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

3 → 72

Calls

3 calls:

14.0ms	(- (log z) t)
11.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
0.0ms	(fma (- a 0.5) (log t) (- (log z) t))

series411.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (log z) t)
238.0ms	(+ (log (+ x y)) (fma (- a 0.5) (log t) (- (log z) t)))
76.0ms	(fma (- a 0.5) (log t) (- (log z) t))

simplify678.0ms

Counts

81 → 81

Iterations

Useful iterations: done (674.0ms)

Iter	Nodes	Cost
0	171	1198
1	413	1036
2	1262	922
done	5000	891

prune585.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

51.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
7.0ms	(cbrt (+ x y))

series856.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
183.0ms	(cbrt (+ x y))
199.0ms	(cbrt (+ x y))
216.0ms	(cbrt (+ x y))

simplify715.0ms

Counts

115 → 115

Iterations

Useful iterations: done (710.0ms)

Iter	Nodes	Cost
0	120	1316
1	286	1192
2	1129	1128
done	5001	1104

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
57×	`prod-diff`
56×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
37×	`pow1`
31×	`log-pow` `distribute-lft-out`
28×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
21×	`add-log-exp`
20×	`frac-add` `associate-*r/`
16×	`flip3--` `flip--`
13×	`fma-def`
12×	`sum-log` `associate-l` `distribute-lft-out--`
10×	`associate-r`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-prod`
5×	`sub-neg` `flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-+r+` `diff-log` `log1p-expm1-u`
3×	`associate-+l-` `difference-of-squares`
2×	`+-commutative` `log-div` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate--l+`

Counts

4 → 199

Calls

4 calls:

263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
23.0ms	(* (log (sqrt t)) (- a 0.5))
29.0ms	(* (log (sqrt t)) (- a 0.5))
11.0ms	(+ (log (+ x y)) (log z))

series772.0ms

Counts

4 → 12

Calls

4 calls:

438.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (+ (* (log (sqrt t)) (- a 0.5)) (* (log (sqrt t)) (- a 0.5))))
105.0ms	(* (log (sqrt t)) (- a 0.5))
95.0ms	(* (log (sqrt t)) (- a 0.5))
131.0ms	(+ (log (+ x y)) (log z))

simplify672.0ms

Counts

211 → 211

Iterations

Useful iterations: done (660.0ms)

Iter	Nodes	Cost
0	338	5269
1	1021	4063
done	5001	3468

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b 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	18	27
1	21	27
done	21	27

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.9s	57606×	body	80	nan
1.5s	8032×	body	80	valid