Details

sample90.0ms

Algorithm

intervals

Results

22.0ms	308×	body	80	nan
21.0ms	297×	body	80	valid

simplify7.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (1.4s)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))

series341.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(fma (- a 0.5) b (+ x y))
273.0ms	(fma z (- 1 (log t)) (fma (- a 0.5) b (+ x y)))

simplify2.6s

Counts

26 → 26

Iterations

Useful iterations: 2 (29.0ms)

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

prune143.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite72.0ms

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:

0.0ms	(fma (- a 0.5) b (+ x y))
46.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
10.0ms	(- z (* (log t) z))
14.0ms	(* (log t) z)

series533.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma (- a 0.5) b (+ x y))
316.0ms	(+ (- z (* (log t) z)) (fma (- a 0.5) b (+ x y)))
72.0ms	(- z (* (log t) z))
73.0ms	(* (log t) z)

simplify3.2s

Counts

90 → 90

Iterations

Useful iterations: 3 (1.8s)

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

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
33×	`add-cube-cbrt`
28×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
18×	`pow1`
13×	`log-pow`
7×	`associate-r`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
2×	`associate-*r/` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+r+` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

1.0ms	(fma (- a 0.5) b (+ x y))
48.0ms	(+ (* z (- 1 (log t))) (fma (- a 0.5) b (+ x y)))
30.0ms	(* z (- 1 (log t)))

series484.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma (- a 0.5) b (+ x y))
341.0ms	(+ (* z (- 1 (log t))) (fma (- a 0.5) b (+ x y)))
55.0ms	(* z (- 1 (log t)))

simplify3.8s

Counts

116 → 116

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	167	2165
1	350	1556
2	891	1324
3	4468	1178
done	5000	1178

prune505.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(* (cbrt (log t)) (cbrt (log t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

2.0ms	(cbrt (log t))
2.0ms	(cbrt (log t))
2.0ms	(cbrt (log t))
26.0ms	(* (cbrt (log t)) (cbrt (log t)))

series1.7s

Counts

4 → 12

Calls

4 calls:

458.0ms	(cbrt (log t))
412.0ms	(cbrt (log t))
435.0ms	(cbrt (log t))
405.0ms	(* (cbrt (log t)) (cbrt (log t)))

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	66	787
1	125	690
2	319	571
3	1110	529
done	5000	523

prune471.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes614.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	20	15
done	20	15

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	9153×	body	80	valid
936.0ms	9243×	body	80	nan
2.0ms	2×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	640	valid