Details

sample53.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
13.0ms	341×	body	80	nan

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 5 (227.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	87	15
3	243	15
4	725	15
5	2121	14
6	4677	14
done	5000	14

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (fma (- 1 (log t)) z (fma (- a 0.5) b x)) y)
0.1b	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

4.0ms	(- 1 (log t))
3.0ms	(+ (fma (- 1 (log t)) z (fma (- a 0.5) b x)) y)
0.0ms	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

series482.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(- 1 (log t))
224.0ms	(+ (fma (- 1 (log t)) z (fma (- a 0.5) b x)) y)
131.0ms	(fma (- 1 (log t)) z (fma (- a 0.5) b x))

simplify3.1s

Counts

73 → 73

Iterations

Useful iterations: 3 (619.0ms)

Iter	Nodes	Cost
0	126	1043
1	275	846
2	774	721
3	3099	674
done	5000	674

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow` `add-log-exp`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `associate--l+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `diff-log`
2×	`sub-neg` `distribute-lft-out--`
1×	`associate--l-` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
17.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series888.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(fma (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))) z (fma (- a 0.5) b x))
280.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
183.0ms	(cbrt t)
181.0ms	(cbrt t)

simplify539.0ms

Counts

96 → 96

Iterations

Useful iterations: done (536.0ms)

Iter	Nodes	Cost
0	147	1552
1	323	1257
2	1048	887
done	5000	864

prune375.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt (cbrt t))

series882.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
191.0ms	(cbrt t)
254.0ms	(cbrt (cbrt t))
251.0ms	(cbrt (cbrt t))

simplify561.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	46	374
1	79	358
2	154	328
3	371	316
4	1225	316
done	5001	316

prune562.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite445.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

10.0ms	(* (- a 0.5) b)
323.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
103.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series232.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
127.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms	(- (+ (+ x y) z) (* z (log t)))
37.0ms	(* z (log t))

simplify859.0ms

Counts

128 → 128

Iterations

Useful iterations: done (856.0ms)

Iter	Nodes	Cost
0	222	1851
1	603	1715
2	2647	1571
done	5000	1567

prune358.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes494.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	27
1	26	27
done	26	27

end0.0ms

sample1.4s

Algorithm

intervals

Results

438.0ms	9173×	body	80	valid
351.0ms	9022×	body	80	nan
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid