Details

sample105.0ms

Algorithm

intervals

Results

29.0ms	284×	body	80	valid
22.0ms	318×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4493
4	1075
3	279
2	88
1	30
0	15

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 38

Calls

3 calls:

0.0ms	(fma b (- a 0.5) x)
5.0ms	(+ (fma b (- a 0.5) x) y)
0.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

series414.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma b (- a 0.5) x)
72.0ms	(+ (fma b (- a 0.5) x) y)
303.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify1.4s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	2441
2	371
1	145
0	67

prune437.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

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

series410.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma (- a 0.5) b (+ y x))
330.0ms	(fma (- 1 (log t)) z (* 1 (fma (- a 0.5) b (+ y x))))

simplify643.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	963
2	200
1	79
0	45

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite818.0ms

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×	`sum-log` `prod-diff`
9×	`pow1` `distribute-lft-out`
8×	`associate-+l+` `add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `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` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

16.0ms	(* (- a 0.5) b)
605.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
186.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

series332.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- a 0.5) b)
173.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
63.0ms	(- (+ (+ x y) z) (* z (log t)))
50.0ms	(* z (log t))

simplify1.7s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	2744
1	615
0	222

prune910.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

17.0ms	(* z (* 2 (log (cbrt t))))
30.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series775.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* z (* 2 (log (cbrt t))))
155.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
255.0ms	(cbrt t)
228.0ms	(cbrt t)

simplify1.5s

Counts

133 → 133

Iterations

Iter	Nodes
done	5001
2	2057
1	498
0	190

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
2	20
1	19
0	15

end0.0ms

sample3.4s

Algorithm

intervals

Results

848.0ms	9181×	body	80	valid
665.0ms	9263×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid