Details

sample76.0ms

Algorithm

intervals

Results

19.0ms	297×	body	80	valid
17.0ms	308×	body	80	nan

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.3s)

Iter	Nodes	Cost
0	15	16
1	30	16
2	88	15
3	276	15
4	776	15
5	2106	14
6	4827	14
done	5000	14

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

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

series370.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma (- a 0.5) b (+ x y))
302.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	43	346
1	77	341
2	172	297
3	599	297
4	4388	297
done	5000	297

prune175.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-log-exp`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `prod-diff` `add-cbrt-cube`
5×	`associate-+l+`
4×	`expm1-log1p-u` `fma-def` `associate-l` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`sub-neg` `distribute-rgt-out--` `diff-log` `sum-log` `fma-udef`
1×	`+-commutative` `associate-+l-` `associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

1.0ms	(fma (- a 0.5) b (+ x y))
45.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
10.0ms	(- z (* (log t) z))
17.0ms	(* (log t) z)

series564.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(fma (- a 0.5) b (+ x y))
303.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
70.0ms	(- z (* (log t) z))
117.0ms	(* (log t) z)

simplify3.3s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	130	1028
1	296	953
2	860	885
3	4000	848
done	5000	848

prune507.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- a 0.5) b (+ x y))
0.0b	(+ (+ (* z (- 1 (log t))) (* (* (log t) 0) z)) (fma (- a 0.5) b (+ x y)))
0.3b	(* z (- 1 (log t)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

1.0ms	(fma (- a 0.5) b (+ x y))
108.0ms	(+ (+ (* z (- 1 (log t))) (* (* (log t) 0) z)) (fma (- a 0.5) b (+ x y)))
47.0ms	(* z (- 1 (log t)))

series491.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(fma (- a 0.5) b (+ x y))
350.0ms	(+ (+ (* z (- 1 (log t))) (* (* (log t) 0) z)) (fma (- a 0.5) b (+ x y)))
61.0ms	(* z (- 1 (log t)))

simplify3.9s

Counts

93 → 93

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	169	1718
1	354	1222
2	1013	890
3	4144	850
done	5000	850

prune368.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-log-exp`
9×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-r` `prod-diff` `sum-log` `distribute-lft-out`
2×	`fma-udef`
1×	`+-commutative` `sub-neg` `associate-+l+` `associate-+r+` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

34.0ms	(+ (fma b (- a 0.5) (- z (* (log t) z))) (+ x y))
1.0ms	(fma b (- a 0.5) (- z (* (log t) z)))
13.0ms	(- z (* (log t) z))
29.0ms	(* (log t) z)

series484.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(+ (fma b (- a 0.5) (- z (* (log t) z))) (+ x y))
102.0ms	(fma b (- a 0.5) (- z (* (log t) z)))
64.0ms	(- z (* (log t) z))
97.0ms	(* (log t) z)

simplify3.9s

Counts

85 → 85

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	141	1025
1	345	955
2	1077	888
3	4720	840
done	5000	840

prune372.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes547.0ms

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	14	15
1	17	15
done	17	15

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	9153×	body	80	valid
1.0s	9243×	body	80	nan
2.0ms	2×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid