Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	257×	body	80	valid
7.0ms	282×	body	80	nan

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5
done	5001	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt` `prod-diff`
4×	`add-log-exp`
3×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

6.0ms	(- (fma (log y) (+ y 0.5) z) y)
0.0ms	(fma (log y) (+ y 0.5) z)

series83.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(- (fma (log y) (+ y 0.5) z) y)
37.0ms	(fma (log y) (+ y 0.5) z)

simplify138.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	214	366
1	823	278
2	4980	260
3	5001	260
done	5001	260

prune122.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`add-log-exp`
18×	`prod-diff`
12×	`log-prod`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
5×	`associate-+l+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`associate-+l-` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

6.0ms	(- x (* (+ y 0.5) (log y)))
128.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
23.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

series399.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- x (* (+ y 0.5) (log y)))
51.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
47.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
247.0ms	(* (+ y 0.5) (log y))

simplify89.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	539	1002
1	2085	847
2	5002	829
done	5002	829

prune296.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

5.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
42.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
0.0ms	(fma (- (+ y 0.5)) (log y) y)

series365.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (fma (- (+ y 0.5)) (log y) y))
47.0ms	(- (+ x (fma (- (+ y 0.5)) (log y) y)) z)
276.0ms	(fma (- (+ y 0.5)) (log y) y)

simplify33.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	305	659
1	941	532
2	5002	525
done	5002	525

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l*` `frac-add` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `fma-def` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 117

Calls

4 calls:

33.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
37.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

439.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
782.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
174.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify71.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	681	1127
1	2712	983
2	5001	947
done	5001	947

prune424.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	16	6
2	16	6
done	16	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

296.0ms	8028×	body	80	valid
228.0ms	8110×	body	80	nan