Details

sample63.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
21.0ms	296×	body	80	nan

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4166
5	2057
4	627
3	203
2	63
1	21
0	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

6.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.0ms	(fma (log y) (+ 0.5 y) (- z y))

series160.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
71.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify2.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5011
3	2510
2	637
1	239
0	103

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff` `add-cube-cbrt`
17×	`add-log-exp`
11×	`associate-+r+`
6×	`pow1` `associate-*r/`
5×	`add-cbrt-cube` `diff-log` `add-exp-log`
4×	`sum-log` `flip3-+` `associate-r` `associate-l` `frac-add` `flip-+`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r-` `sub-neg` `distribute-lft-in`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `associate--r+` `distribute-lft-out--` `associate--r-` `difference-of-squares` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

86.0ms	(- x (+ (* (log y) (+ 0.5 y)) (- z y)))
23.0ms	(+ (* (log y) (+ 0.5 y)) (- z y))
15.0ms	(* (log y) (+ 0.5 y))

series488.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- x (+ (* (log y) (+ 0.5 y)) (- z y)))
59.0ms	(+ (* (log y) (+ 0.5 y)) (- z y))
337.0ms	(* (log y) (+ 0.5 y))

simplify3.1s

Counts

103 → 103

Iterations

Iter	Nodes
done	5006
2	2820
1	692
0	225

prune534.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

9.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
0.0ms	(fma (log y) (+ 0.5 y) (- z y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(- x (fma (log y) (+ 0.5 y) (- z y)))
87.0ms	(fma (log y) (+ 0.5 y) (- z y))

simplify3.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5011
3	2510
2	637
1	239
0	103

prune327.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log y)) (cbrt (log y)))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))
0.5b	(cbrt (log y))

rewrite13.0ms

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` `insert-posit16` `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 → 93

Calls

4 calls:

9.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.6s

Counts

4 → 12

Calls

4 calls:

414.0ms	(* (cbrt (log y)) (cbrt (log y)))
386.0ms	(cbrt (log y))
380.0ms	(cbrt (log y))
402.0ms	(cbrt (log y))

simplify3.4s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
4	4372
3	1212
2	411
1	152
0	68

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes181.0ms

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	15
1	15
0	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

830.0ms	8036×	body	80	valid
684.0ms	7949×	body	80	nan