Details

sample116.0ms

Algorithm

intervals

Results

40.0ms	289×	body	80	nan
32.0ms	293×	body	80	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2285
4	842
3	266
2	88
1	30
0	15

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 48

Calls

2 calls:

8.0ms	(- 1 (log t))
0.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series428.0ms

Counts

2 → 6

Calls

2 calls:

164.0ms	(- 1 (log t))
264.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify2.7s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	4471
3	1133
2	442
1	209
0	105

prune334.0ms

Pruning

3 alts after pruning (3 fresh and 0 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)))
0.2b	(* z (log t))

rewrite917.0ms

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` `insert-posit16` `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 → 120

Calls

4 calls:

21.0ms	(* (- a 0.5) b)
652.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
234.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series311.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- a 0.5) b)
198.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
39.0ms	(- (+ (+ x y) z) (* z (log t)))
38.0ms	(* z (log t))

simplify2.3s

Counts

132 → 132

Iterations

Iter	Nodes
done	5011
2	2265
1	608
0	226

prune752.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma z (- (fma (log (cbrt t)) -2 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
9.0ms	(- (fma (log (cbrt t)) -2 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.7s

Counts

4 → 12

Calls

4 calls:

554.0ms	(fma z (- (fma (log (cbrt t)) -2 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
639.0ms	(- (fma (log (cbrt t)) -2 1) (log (cbrt t)))
265.0ms	(cbrt t)
235.0ms	(cbrt t)

simplify2.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2624
2	749
1	295
0	142

prune669.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-log-exp`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`log-prod`
7×	`pow1`
6×	`distribute-rgt-in` `associate-+r+` `sum-log` `distribute-lft-in` `add-cbrt-cube` `prod-diff` `add-exp-log` `associate--r+`
4×	`expm1-log1p-u` `fma-def` `associate-r` `frac-add` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`flip3-+` `flip3--` `fma-neg` `diff-log` `associate-l` `flip-+` `fma-udef` `flip--`
2×	`sub-neg` `associate--l+`
1×	`+-commutative` `associate-+l+` `associate-+r-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

0.0ms	(fma b (- a 0.5) z)
56.0ms	(+ (+ x y) (- (fma b (- a 0.5) z) (* z (log t))))
11.0ms	(- (fma b (- a 0.5) z) (* z (log t)))
9.0ms	(* z (log t))

series336.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma b (- a 0.5) z)
167.0ms	(+ (+ x y) (- (fma b (- a 0.5) z) (* z (log t))))
75.0ms	(- (fma b (- a 0.5) z) (* z (log t)))
53.0ms	(* z (log t))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1691
1	504
0	188

prune658.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes625.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	9163×	body	80	nan
953.0ms	9154×	body	80	valid
1.0ms	3×	body	640	valid
1.0ms	1×	body	2560	valid
0.0ms	2×	body	160	valid